text: With President Bush ineligible for a third term and Vice President Dick Cheney not pursuing the party's nomination, Arizona Senator John McCain quickly emerged as the Republican Party's presidential nominee, receiving President Bush's endorsement on March 6, six months before official ratification at the 2008 Republican National Convention. On August 29, Senator McCain announced Governor Sarah Palin of Alaska as his running-mate, making her the first woman on a Republican presidential ticket. McCain surged ahead of Obama in the national polls following the nomination but amid a financial crisis and a serious economic downturn, McCain and Palin went on to lose the 2008 presidential election to Democrats Barack Obama and running mate Joe Biden.


title: History of the Republican Party (United States)

text: Following the 2008 elections, the Republican Party, reeling from the loss of the presidency, Congress and key state governorships, was fractured and leaderless. Michael Steele became the first black chairman of the Republican National Committee, but was a poor fundraiser and was replaced after numerous gaffes and missteps. Republicans suffered an additional loss in the Senate in April 2009, when Arlen Specter switched to the Democratic Party, depriving the GOP of a critical 41st vote to block legislation in the Senate. The seating of Al Franken several months later effectively handed the Democrats a filibuster-proof majority, but it was short-lived as the GOP took back its 41st vote when Scott Brown won a special election in Massachusetts in early 2010.


text: Republicans strongly opposed Obama's 2009 economic stimulus package and 2010 health care reform bill. The Tea Party movement, formed in early 2009, provided a groundswell of conservative grassroots activism to oppose policies of the Obama administration. With an expected economic recovery being criticized as sluggish, the GOP was expected to make big gains in the 2010 midterm elections. However, establishment Republicans began to see themselves at odds with Tea Party activists, who sought to run conservative candidates in primary elections to defeat the more moderate establishment-based candidates. Incumbent senators such as Bob Bennett in Utah and Lisa Murkowski in Alaska lost primary contests in their respective states.


text: Republicans won back control of the House of Representatives in the November midterm election, with a net gain of 63 seats, the largest gain for either party since 1948. The GOP also picked up six seats in the Senate, falling short of retaking control in that chamber, and posted additional gains in state governor and legislative races. Boehner became Speaker of the House while McConnell remained as the Senate Minority Leader. In an interview with "National Journal" magazine about congressional Republican priorities, McConnell explained that "the single most important thing we want to achieve is for (Barack) Obama to be a one-term president".


text: After 2009, the voter base of the GOP changed in directions opposite from national trends. It became older and less Hispanic or Asian than the general population. In 2013, Jackie Calmes of "The New York Times" reported a dramatic shift in the power base of the party as it moved away from the Northeast and the West Coast and toward small-town America in the South and West. During the 2016 presidential election, the Republicans also gained significant support in the Midwest.


text: In a shift over a half-century, the party base has been transplanted from the industrial Northeast and urban centers to become rooted in the South and West, in towns and rural areas. In turn, Republicans are electing more populist, antitax and antigovernment conservatives who are less supportive — and even suspicious — of appeals from big business.Big business, many Republicans believe, is often complicit with big government on taxes, spending and even regulations, to protect industry tax breaks and subsidies — "corporate welfare", in their view.


text: In February 2011, several freshmen Republican governors began proposing legislation that would diminish the power of public employee labor unions by removing or negatively affecting their right to collective bargaining, claiming that these changes were needed to cut state spending and balance the states' budgets. These actions sparked public-employee protests across the country. In Wisconsin, the veritable epicenter of the controversy, Governor Scott Walker fought off a labor-fueled recall election, becoming the first state governor in U.S. history to defeat a recall against him.


text: After leading a pack of minor candidates for much of 2010 and 2011, former Massachusetts Governor Mitt Romney, despite outmatching his opponents in both money and organization, struggled to hold on to his lead for the 2012 GOP nomination. As the presidential campaign season headed toward the voting stage in January 2012, one candidate after another surged past Romney, held the lead for a few weeks, then fell back. According to the RealClearPolitics 2012 polling index, five candidates at one time or another were the top choice of GOP voters: Texas Governor Rick Perry, motivational speaker Herman Cain, former Speaker Newt Gingrich, former senator Rick Santorum and Romney himself.


text: After losing to Santorum in Iowa and Gingrich in South Carolina, Romney racked up a number of wins in later contests, emerging as the eventual frontrunner after taking the lion's share of states and delegates in the crucial Super Tuesday contests, despite an embarrassing loss in the Colorado caucuses and near-upsets in the Michigan and Ohio primaries. Romney was nominated in August and chose Congressman Paul Ryan, a young advocate of drastic budget cuts, as his running mate. Throughout the summer polls showed a close race and Romney had a good first debate, but otherwise had trouble reaching out to ordinary voters. He lost to Obama 51% to 47% and instead of gaining in the Senate as expected, Republicans lost seats.


text: The party mood was glum in 2013 and one conservative analyst concluded: It would be no exaggeration to say that the Republican Party has been in a state of panic since the defeat of Mitt Romney, not least because the election highlighted American demographic shifts and, relatedly, the party's failure to appeal to Hispanics, Asians, single women and young voters. Hence the Republican leadership's new willingness to pursue immigration reform, even if it angers the conservative base.


text: In March 2013, National Committee Chairman Reince Priebus gave a stinging postmortem on the GOP's failures in 2012, calling on the party to reinvent itself and to endorse immigration reform and said: "There's no one reason we lost. Our message was weak; our ground game was insufficient; we weren't inclusive; we were behind in both data and digital; and our primary and debate process needed improvement". Priebus proposed 219 reforms, including a $10 million marketing campaign to reach women, minorities and gays; a shorter, more controlled primary season; and better data collection and research facilities.


text: The party's official opposition to same-sex marriage came under attack. Meanwhile, social conservatives such as Rick Santorum and Mike Huckabee remained opposed to same-sex marriage and warned that evangelicals would desert if the GOP dropped the issue. Many leaders from different factions spoke out in 2013 on the need for a new immigration policy in the wake of election results showing a sharp move away from the GOP among Hispanics and Asians, but the Republicans in Congress could not agree on a program and nothing was done. Republicans in Congress forced a government shutdown in late 2013 after narrowly averting similar fiscal crises in 2011 and 2012.


text: The Tea Party fielded a number of anti-establishment candidates in the 2014 Republican primaries, but scored very few notable wins. However, they managed to unseat House Majority Leader Eric Cantor in his Virginia primary race. GOP attacks on Obama's unpopular administration resonated with voters and the party posted major gains around the country. They regained control of the Senate and increased their majorities in the House to the highest total since 1929. They took control of governorships, state legislatures and Senate seats in nearly all Southern states, except Florida and Virginia.


text: Great divisions in the House GOP conference were apparent after the 2014 midterm elections, with conservative members, many of them from the right-leaning Freedom Caucus, expressing dissatisfaction with congressional leadership. John Boehner's surprise announcement in September 2015 that he would step down as Speaker sent shockwaves through the House. After Majority Leader Kevin McCarthy bowed out of the race to replace Boehner due to a lack of support, House Ways and Means Chair Paul Ryan announced he would run, with the Freedom Caucus' support. Ryan was elected Speaker on October 29.


text: Businessman Donald Trump won the 2016 Republican primaries, representing a dramatic policy shift from traditional conservatism to an aggressively populist ideology with overtones of cultural identity politics. Numerous high-profile Republicans, including past presidential nominees like Mitt Romney, announced their opposition to Trump; some even did so after he received the GOP nomination. Much of the Republican opposition to Trump stemmed from concerns that his disdain for political correctness, his support from the ethno-nationalist alt-right, and his virulent criticism of the mainstream news media would result in the GOP losing the presidential election and lead to significant GOP losses in other races. In one of the largest upsets in American political history, Trump went on to defeat Hillary Clinton in the 2016 presidential election.


text: In addition to electing Donald Trump as president, Republicans maintained a majority in the Senate, in the House, and amongst state governors in the 2016 elections. The Republican Party was slated to control 69 of 99 state legislative chambers in 2017 (the most it had held in history) and at least 33 governorships (the most it had held since 1922). The party took total control of the government (legislative chambers and governorships) in 25 states following the 2016 elections; this was the most states it had controlled since 1952.


text: In 2017, Donald Trump promised to use protective tariffs as a weapon to restore greatness to the economy.


text: Sources differ over the extent Trump dominated and "remade" the Republican Party. Some have called his control "complete", noting that the few dissenting "Never Trump" Republican elected officials retired or were defeated in primaries, that conservative media strongly supported him, and that his approval rating among self-identified Republican voters was extraordinarily high. While approval among national voters was low.


text: According to Trump and others, his policies differed from those of his Republican predecessors (such as Reagan) in being more oriented towards the working class, more skeptical of free trade agreements, and more isolationist and confrontational with foreign allies.


text: Others suggested that Trump's popularity among the Republican base did not translate into as much GOP candidate loyalty as expected. Still others opined that Republican legislation and policies during the Trump administration continued to reflect the traditional priorities of Republican donors, appointees and congressional leaders. Jeet Heer of "New Republic" suggested that Trump's ascendancy was the "natural evolutionary product of Republican platforms and strategies that stretch back to the very origins of modern conservatism";


text: Donald Trump is the first president in US history to be impeached twice. The first impeachment was in December 2019 but he was acquitted by the Senate in February 2020. The second impeachment was in January 2021 where he again was acquitted after he left office.


text: In the 2018 midterm elections, the Republican Party lost the House of Representatives for the first time since 2011 but increased their majority in the Senate.


text: In the 2020 elections, the Republican Party lost the Presidency and the Senate. Despite the loss, Donald Trump initially refused to concede and attempted to overturn the election. This culminated in the storming of the United States Capitol in January 2021 as some tried to disrupt the Electoral College vote count. After the storming, Donald Trump conceded the following day that "a new administration" will take over the White House, although he has yet to concede that he lost the election. Motivated by claims of widespread election fraud in the 2020 election, Republicans initiated an effort to make voting laws more restrictive following some temporary easing of voting laws or their enforcement in that election.


text: In 2021, Republican-controlled state legislatures "advanced their most conservative agenda in years" and were more aggressive in doing so than previous years.


text: In the 2022 midterm elections, the Democratic Party lost the House of Representatives for the first time since 2019 but increased their majority in the Senate.


text: The Republican Party had a progressive element, typified in the early 20th century by Theodore Roosevelt in the 1907–1912 period (Roosevelt was more conservative at other points), Senator Robert M. La Follette, Sr. and his sons in Wisconsin (from about 1900 to 1946) and western leaders such as Senator Hiram Johnson in California, Senator George W. Norris in Nebraska, Senator Bronson M. Cutting in New Mexico, Congresswoman Jeannette Rankin in Montana and Senator William Borah in Idaho. They were generally progressive in domestic policy, supported unions and supported much of the New Deal, but were isolationist in foreign policy. This element died out by the 1940s. Outside Congress, of the leaders who supported Theodore Roosevelt in 1912, most opposed the New Deal.


text: Starting in the 1930s, a number of Northeastern Republicans took liberal positions regarding labor unions, spending and New Deal policies. They included Mayor Fiorello La Guardia in New York City, Governor Thomas E. Dewey of New York, Governor Earl Warren of California, Governor Harold Stassen of Minnesota, Senator Clifford P. Case of New Jersey, Henry Cabot Lodge, Jr. of Massachusetts, Senator Prescott Bush of Connecticut (father and grandfather of the two Bush Presidents), Senator Jacob K. Javits of New York, Senator John Sherman Cooper of Kentucky, Senator George Aiken of Vermont, Governor and later Senator Mark Hatfield of Oregon, Governor William Scranton of Pennsylvania and Governor George W. Romney of Michigan. The most notable of them all was Governor Nelson A. Rockefeller of New York. They generally advocated a free-market, but with some level of regulation. Rockefeller required employable welfare recipients to take available jobs or job training.


text: While the media sometimes called them "Rockefeller Republicans", the liberal Republicans never formed an organized movement or caucus and lacked a recognized leader. They promoted economic growth and high state and federal spending while accepting high taxes and much liberal legislation, with the provision they could administer it more efficiently. They opposed the Democratic big city machines while welcoming support from labor unions and big business alike. Religion was not high on their agenda, but they were strong believers in civil rights for African Americans and women's rights and most liberals were pro-choice. They were also strong environmentalists and supporters of higher education. In foreign policy they were internationalists, throwing their support to Dwight D. Eisenhower over the conservative leader Robert A. Taft in 1952. They were often called the "Eastern Establishment" by conservatives such as Barry Goldwater.


text: The Goldwater conservatives fought this establishment from 1960, defeated it in 1964 and eventually retired most of its members, although some became Democrats like Senator Charles Goodell, Mayor John Lindsay in New York and Chief Justice Earl Warren. President Richard Nixon adopted many of their positions, especially regarding health care, welfare spending, environmentalism and support for the arts and humanities. After Congressman John B. Anderson of Illinois bolted the party in 1980 and ran as an independent against Reagan, the liberal GOP element faded away. Their old strongholds in the Northeast are now mostly held by Democrats.


text: The term "Rockefeller Republican" was used 1960–1980 to designate a faction of the party holding "moderate" views similar to those of Nelson Rockefeller, governor of New York from 1959 to 1974 and vice president under President Gerald Ford in 1974–1977. Before Rockefeller, Thomas E. Dewey, governor of New York (1942–1954) and GOP presidential nominee in 1944 and 1948 was the leader. Dwight Eisenhower and his aide Henry Cabot Lodge, Jr. reflected many of their views.


text: An important moderate leader in the 1950s was Connecticut Republican senator Prescott Bush, father and grandfather of Presidents George H. W. Bush and George W. Bush, respectively. After Rockefeller left the national stage in 1976, this faction of the party was more often called "moderate Republicans", in contrast to the conservatives who rallied to Ronald Reagan.


text: Historically, Rockefeller Republicans were moderate or liberal on domestic and social policies. They favored New Deal programs, including regulation and welfare. They were supporters of civil rights. They were supported by big business on Wall Street (New York City). In fiscal policy they favored balanced budgets and relatively high tax levels to keep the budget balanced. They sought long-term economic growth through entrepreneurship, not tax cuts.


text: In state politics, they were strong supporters of state colleges and universities, low tuition and large research budgets. They favored infrastructure improvements, such as highway projects. In foreign policy they were internationalists and anti-communists. They felt the best way to counter communism was sponsoring economic growth (through foreign aid), maintaining a strong military and keeping close ties to NATO. Geographically their base was the Northeast, from Maine to Pennsylvania, where they had the support of major corporations and banks and worked well with labor unions.


text: The moderate Republicans were top-heavy, with a surplus of high visibility national leaders and a shortage of grass roots workers. Most of all they lacked the numbers, the enthusiasm and excitement the conservatives could mobilize—the moderates decided it must be an un-American level of fanaticism that drove their opponents. Doug Bailey, a senior Rockefeller aide recalled, "there was a mentality in [Rockefeller's] campaign staff that, 'Look, we have got all this money. We should be able to buy the people necessary to get this done. And you buy from the top down'". Bailey discovered that the Rockefeller team never understood that effective political organizations are empowered from the bottom up, not the top down.


text: Barry Goldwater crusaded against the Rockefeller Republicans, beating Rockefeller narrowly in the California primary of 1964 giving the Arizona senator, all of the California delegates and a majority at the presidential nominating convention. The election was a disaster for the conservatives, but the Goldwater activists now controlled large swaths of the GOP and they had no intention of retreating. The stage was set for a conservative takeover, based in the South and West, in opposition to the Northeast. Ronald Reagan continued in the same theme. George H. W. Bush was more closely associated with the moderates, but his son George W. Bush was firmly allied with the conservatives.


text: From its inception in 1854 to 1964, when Senate Republicans pushed hard for passage of the Civil Rights Act of 1964 against a filibuster by Senate Democrats, the GOP had a reputation for supporting blacks and minorities. In 1869, the Republican-controlled legislature in Wyoming Territory and its Republican governor John Allen Campbell made it the first jurisdiction to grant voting rights to women. In 1875, California swore in the first Hispanic governor, Republican Romualdo Pacheco. In 1916, Jeannette Rankin of Montana became the first woman in Congress—and indeed the first woman in any high level government position. In 1928, New Mexico elected the first Hispanic U.S. Senator, Republican Octaviano Larrazolo. In 1898, the first Jewish U.S. Senator elected from outside of the former Confederacy was Republican Joseph Simon of Oregon. In 1924, the first Jewish woman elected to the U.S. House of Representatives was Republican Florence Kahn of California. In 1928, the Republican U.S. Senate Majority Leader, Charles Curtis of Kansas, who grew up on the Kaw Indian reservation, became the first person of significant non-European ancestry to be elected to national office, as Vice President of the United States for Herbert Hoover.


text: Blacks generally identified with the GOP until the 1930s. Every African American who served in the U.S. House of Representatives before 1935 and all of the African Americans who served in the Senate before 1979, were Republicans. Frederick Douglass after the Civil War and Booker T. Washington in the early 20th century were prominent Republican spokesmen. In 1966, Edward Brooke of Massachusetts became the first African American popularly elected to the United States Senate.


text: Some critics, most notably Dan Carter, have alleged that the rapid growth in Republican strength in the South came from a secretly coded message to Wallacites and segregationists that the GOP was a racist anti-black party seeking their votes. Political scientists and historians point out that the timing does not fit the Southern strategy model. Nixon carried 49 states in 1972, so he operated a successful national rather than regional strategy, but the Republican Party remained quite weak at the local and state level across the entire South for decades. Matthew Lassiter argues that Nixon's appeal was not to the Wallacites or segregationists, but rather to the rapidly emerging suburban middle-class. Many had Northern antecedents and they wanted rapid economic growth and saw the need to put backlash politics to rest. Lassiter says the Southern strategy was a "failure" for the GOP and that the Southern base of the Republican Party "always depended more on the middle-class corporate economy and on the top-down politics of racial backlash". Furthermore, "realignment in the South quote came primarily from the suburban ethos of New South metropolises such as Atlanta and Charlotte, North Carolina, not to the exportation of the working-class racial politics of the Black Belt".


text: The South's transition to a Republican stronghold took decades and happened incrementally, with national politics gradually influencing state and local politics. First the states started voting Republican in presidential elections—the Democrats countered that by nominating Southerners who could carry some states in the region, such as Jimmy Carter in 1976 and Bill Clinton in 1992 and 1996. However, the strategy narrowly failed with Al Gore in 2000. The states began electing Republican senators to fill open seats caused by retirements and finally governors and state legislatures changed sides. Georgia was the last state to shift to the GOP, with Republican Sonny Perdue taking the governorship in 2002. Republicans aided the process with redistricting that protected the African-American and Hispanic vote (as required by the Civil Rights laws), but split up the remaining white Democrats so that Republicans mostly would win.


text: In addition to its white middle class base, Republicans attracted strong majorities from the evangelical Christian community and from Southern pockets of traditionalist Roman Catholics in South Louisiana. The national Democratic Party's support for liberal social stances such as abortion drove many white Southerners into a Republican Party that was embracing the conservative views on these issues. Conversely, liberal voters in the northeast began to join the Democratic Party.


text: In 1969, Kevin Phillips argued in "The Emerging Republican Majority" that support from Southern whites and growth in the South, among other factors, was driving an enduring Republican electoral realignment. In the early 21st century, the South was generally solidly Republican in state elections and mostly solidly Republican in presidential contests. In 2005, political scientists Nicholas A. Valentino and David O. Sears argued that partisanship at that time was driven by disagreements on the size of government, national security and moral issues, while racial issues played a smaller role.


title: Moment-generating function

text: In probability theory and statistics, the moment-generating function of a real-valued random variable is an alternative specification of its probability distribution. Thus, it provides the basis of an alternative route to analytical results compared with working directly with probability density functions or cumulative distribution functions. There are particularly simple results for the moment-generating functions of distributions defined by the weighted sums of random variables. However, not all random variables have moment-generating functions.


title: Moment-generating function

text: As its name implies, the moment-generating function can be used to compute a distribution’s moments: the "n"th moment about 0 is the "n"th derivative of the moment-generating function, evaluated at 0.


title: Moment-generating function

text: In addition to real-valued distributions (univariate distributions), moment-generating functions can be defined for vector- or matrix-valued random variables, and can even be extended to more general cases.


title: Moment-generating function

text: The moment-generating function of a real-valued distribution does not always exist, unlike the characteristic function. There are relations between the behavior of the moment-generating function of a distribution and properties of the distribution, such as the existence of moments.


title: Moment-generating function

text: Let formula_1 be a random variable with CDF formula_2. The moment generating function (mgf) of formula_3 (or formula_2), denoted by formula_5, is


title: Moment-generating function

text: provided this expectation exists for formula_7 in some neighborhood of 0. That is, there is an formula_8 such that for all formula_7 in formula_10, formula_11 exists. If the expectation does not exist in a neighborhood of 0, we say that the moment generating function does not exist.


title: Moment-generating function

text: In other words, the moment-generating function of "X" is the expectation of the random variable formula_12. More generally, when formula_13, an formula_14-dimensional random vector, and formula_15 is a fixed vector, one uses formula_16 instead of formula_17:


title: Moment-generating function

text: formula_19 always exists and is equal to 1. However, a key problem with moment-generating functions is that moments and the moment-generating function may not exist, as the integrals need not converge absolutely. By contrast, the characteristic function or Fourier transform always exists (because it is the integral of a bounded function on a space of finite measure), and for some purposes may be used instead.


title: Moment-generating function

text: The moment-generating function is so named because it can be used to find the moments of the distribution. The series expansion of formula_20 is


title: Moment-generating function

text: where formula_23 is the formula_14th moment. Differentiating formula_5 formula_26 times with respect to formula_7 and setting formula_28, we obtain the formula_26th moment about the origin, formula_30;


title: Moment-generating function

text: If formula_3 is a continuous random variable, the following relation between its moment-generating function formula_5 and the two-sided Laplace transform of its probability density function formula_33 holds:


title: Moment-generating function

text: and the moment-generating function's definition expands (by the law of the unconscious statistician) to


title: Moment-generating function

text: This is consistent with the characteristic function of formula_3 being a Wick rotation of formula_5 when the moment generating function exists, as the characteristic function of a continuous random variable formula_3 is the Fourier transform of its probability density function formula_33, and in general when a function formula_41 is of exponential order, the Fourier transform of formula_42 is a Wick rotation of its two-sided Laplace transform in the region of convergence. See the relation of the Fourier and Laplace transforms for further information.


title: Moment-generating function

text: Here are some examples of the moment-generating function and the characteristic function for comparison. It can be seen that the characteristic function is a Wick rotation of the moment-generating function formula_5 when the latter exists.


title: Moment-generating function

text: The moment-generating function is the expectation of a function of the random variable, it can be written as:


title: Moment-generating function

text: Note that for the case where formula_3 has a continuous probability density function formula_41, formula_53 is the two-sided Laplace transform of formula_41.


title: Moment-generating function

text: If random variable formula_3 has moment generating function formula_5, then formula_60 has moment generating function formula_61


title: Moment-generating function

text: If formula_63, where the "X" are independent random variables and the "a" are constants, then the probability density function for "S" is the convolution of the probability density functions of each of the "X", and the moment-generating function for "S" is given by


title: Moment-generating function

text: For vector-valued random variables formula_65 with real components, the moment-generating function is given by


title: Moment-generating function

text: An important property of the moment-generating function is that it uniquely determines the distribution. In other words, if formula_3 and formula_70 are two random variables and for all values of "t",


title: Moment-generating function

text: for all values of "x" (or equivalently "X" and "Y" have the same distribution). This statement is not equivalent to the statement "if two distributions have the same moments, then they are identical at all points." This is because in some cases, the moments exist and yet the moment-generating function does not, because the limit


title: Moment-generating function

text: The moment-generating function is so called because if it exists on an open interval around "t" = 0, then it is the exponential generating function of the moments of the probability distribution:


title: Moment-generating function

text: That is, with "n" being a nonnegative integer, the "n"th moment about 0 is the "n"th derivative of the moment generating function, evaluated at "t" = 0.


title: Moment-generating function

text: The moment-generating function can be used in conjunction with Markov's inequality to bound the upper tail of a real random variable "X". This statement is also called the Chernoff bound. Since formula_77 is monotonically increasing for formula_78, we have


title: Moment-generating function

text: for any formula_78 and any "a", provided formula_5 exists. For example, when "X" is a standard normal distribution and formula_82, we can choose formula_83 and recall that formula_84. This gives formula_85, which is within a factor of 1+"a" of the exact value.


title: Moment-generating function

text: Various lemmas, such as Hoeffding's lemma or Bennett's inequality provide bounds on the moment-generating function in the case of a zero-mean, bounded random variable.


title: Moment-generating function

text: When formula_3 is non-negative, the moment generating function gives a simple, useful bound on the moments:


title: Moment-generating function

text: This follows from the inequality formula_90 into which we can substitute formula_91 implies formula_92 for any formula_93.


title: Moment-generating function

text: As an example, consider formula_99 with formula_100 degrees of freedom. Then from the examples formula_101.


title: Moment-generating function

text: Related to the moment-generating function are a number of other transforms that are common in probability theory:


title: Hypervisor

text: A hypervisor (also known as a virtual machine monitor, VMM, or virtualizer) is a type of computer software, firmware or hardware that creates and runs virtual machines. A computer on which a hypervisor runs one or more virtual machines is called a "host machine", and each virtual machine is called a "guest machine". The hypervisor presents the guest operating systems with a virtual operating platform and manages the execution of the guest operating systems. Unlike an emulator, the guest executes most instructions on the native hardware. Multiple instances of a variety of operating systems may share the virtualized hardware resources: for example, Linux, Windows, and macOS instances can all run on a single physical x86 machine. This contrasts with operating-system–level virtualization, where all instances (usually called "containers") must share a single kernel, though the guest operating systems can differ in user space, such as different Linux distributions with the same kernel.


title: Hypervisor

text: The term "hypervisor" is a variant of "supervisor", a traditional term for the kernel of an operating system: the hypervisor is the supervisor of the supervisors, with "" used as a stronger variant of "". The term dates to circa 1970; IBM coined it for the 360/65 and later used it for the DIAG handler of CP-67. In the earlier CP/CMS (1967) system, the term "Control Program" was used instead.


title: Hypervisor

text: In his 1973 thesis, "Architectural Principles for Virtual Computer Systems," Robert P. Goldberg classified two types of hypervisor:


title: Hypervisor

text: The distinction between these two types is not always clear. For instance, KVM and bhyve are kernel modules that effectively convert the host operating system to a type-1 hypervisor. At the same time, since Linux distributions and FreeBSD are still general-purpose operating systems, with applications competing with each other for VM resources, KVM and bhyve can also be categorized as type-2 hypervisors.


title: Hypervisor

text: The first hypervisors providing full virtualization were the test tool SIMMON and the one-off IBM CP-40 research system, which began production use in January 1967 and became the first version of the IBM CP/CMS operating system. CP-40 ran on a S/360-40 modified at the Cambridge Scientific Center to support dynamic address translation, a feature that enabled virtualization. Prior to this time, computer hardware had only been virtualized to the extent to allow multiple user applications to run concurrently, such as in CTSS and IBM M44/44X. With CP-40, the hardware's "supervisor state" was virtualized as well, allowing multiple operating systems to run concurrently in separate virtual machine contexts.


title: Hypervisor

text: Programmers soon implemented CP-40 (as CP-67) for the IBM System/360-67, the first production computer system capable of full virtualization. IBM shipped this machine in 1966; it included page-translation-table hardware for virtual memory and other techniques that allowed a full virtualization of all kernel tasks, including I/O and interrupt handling. (Note that the "official" operating system, the ill-fated TSS/360, did not employ full virtualization.) Both CP-40 and CP-67 began production use in 1967. CP/CMS was available to IBM customers from 1968 to early 1970s, in source code form without support.


title: Hypervisor

text: CP/CMS formed part of IBM's attempt to build robust time-sharing systems for its mainframe computers. By running multiple operating systems concurrently, the hypervisor increased system robustness and stability: Even if one operating system crashed, the others would continue working without interruption. Indeed, this even allowed beta or experimental versions of operating systemsor even of new hardwareto be deployed and debugged, without jeopardizing the stable main production system, and without requiring costly additional development systems.


title: Hypervisor

text: IBM announced its System/370 series in 1970 without the virtual memory feature needed for virtualization, but added it in the August 1972 Advanced Function announcement. Virtualization has been featured in all successor systems, such that all modern-day IBM mainframes, including the zSeries line, retain backward compatibility with the 1960s-era IBM S/360 line. The 1972 announcement also included VM/370, a reimplementation of CP/CMS for the S/370. Unlike CP/CMS, IBM provided support for this version (though it was still distributed in source code form for several releases). VM stands for "Virtual Machine", emphasizing that all, not just some, of the hardware interfaces are virtualized. Both VM and CP/CMS enjoyed early acceptance and rapid development by universities, corporate users, and time-sharing vendors, as well as within IBM. Users played an active role in ongoing development, anticipating trends seen in modern open source projects. However, in a series of disputed and bitter battles, time-sharing lost out to batch processing through IBM political infighting, and VM remained IBM's "other" mainframe operating system for decades, losing to MVS. It enjoyed a resurgence of popularity and support from 2000 as the z/VM product, for example as the platform for Linux on IBM Z.


title: Hypervisor

text: As mentioned above, the VM control program includes a "hypervisor-call" handler that intercepts DIAG ("Diagnose", opcode x'83') instructions used within a virtual machine. This provides fast-path non-virtualized execution of file-system access and other operations (DIAG is a model-dependent privileged instruction, not used in normal programming, and thus is not virtualized. It is therefore available for use as a signal to the "host" operating system). When first implemented in CP/CMS release 3.1, this use of DIAG provided an operating system interface that was analogous to the System/360 Supervisor Call instruction (SVC), but that did not require altering or extending the system's virtualization of SVC.


title: Hypervisor

text: Several factors led to a resurgence around 2005 in the use of virtualization technology among Unix, Linux, and other Unix-like operating systems:


title: Hypervisor

text: Major Unix vendors, including HP, IBM, SGI, and Sun Microsystems, have been selling virtualized hardware since before 2000. These have generally been large, expensive systems (in the multimillion-dollar range at the high end), although virtualization has also been available on some low- and mid-range systems, such as IBM pSeries servers, HP Superdome series machines, and Sun/Oracle T-series CoolThreads servers.


title: Hypervisor

text: Although Solaris has always been the only guest domain OS officially supported by Sun/Oracle on their Logical Domains hypervisor, , Linux (Ubuntu and Gentoo), and FreeBSD have been ported to run on top of the hypervisor (and can all run simultaneously on the same processor, as fully virtualized independent guest OSes). Wind River "Carrier Grade Linux" also runs on Sun's Hypervisor. Full virtualization on SPARC processors proved straightforward: since its inception in the mid-1980s Sun deliberately kept the SPARC architecture clean of artifacts that would have impeded virtualization. (Compare with virtualization on x86 processors below.)


title: Hypervisor

text: HPE provides HP Integrity Virtual Machines (Integrity VM) to host multiple operating systems on their Itanium powered Integrity systems. Itanium can run HP-UX, Linux, Windows and OpenVMS, and these environments are also supported as virtual servers on HP's Integrity VM platform. The HP-UX operating system hosts the Integrity VM hypervisor layer that allows for many important features of HP-UX to be taken advantage of and provides major differentiation between this platform and other commodity platforms - such as processor hotswap, memory hotswap, and dynamic kernel updates without system reboot. While it heavily leverages HP-UX, the Integrity VM hypervisor is really a hybrid that runs on bare-metal while guests are executing. Running normal HP-UX applications on an Integrity VM host is heavily discouraged, because Integrity VM implements its own memory management, scheduling and I/O policies that are tuned for virtual machines and are not as effective for normal applications. HPE also provides more rigid partitioning of their Integrity and HP9000 systems by way of VPAR and nPar technology, the former offering shared resource partitioning and the latter offering complete I/O and processing isolation. The flexibility of virtual server environment (VSE) has given way to its use more frequently in newer deployments.


title: Hypervisor

text: IBM provides virtualization partition technology known as logical partitioning (LPAR) on System/390, zSeries, pSeries and IBM AS/400 systems. For IBM's Power Systems, the POWER Hypervisor (PHYP) is a native (bare-metal) hypervisor in firmware and provides isolation between LPARs. Processor capacity is provided to LPARs in either a dedicated fashion or on an entitlement basis where unused capacity is harvested and can be re-allocated to busy workloads. Groups of LPARs can have their processor capacity managed as if they were in a "pool" - IBM refers to this capability as Multiple Shared-Processor Pools (MSPPs) and implements it in servers with the POWER6 processor. LPAR and MSPP capacity allocations can be dynamically changed. Memory is allocated to each LPAR (at LPAR initiation or dynamically) and is address-controlled by the POWER Hypervisor. For real-mode addressing by operating systems (AIX, Linux, IBM i), the Power processors (POWER4 onwards) have designed virtualization capabilities where a hardware address-offset is evaluated with the OS address-offset to arrive at the physical memory address. Input/Output (I/O) adapters can be exclusively "owned" by LPARs or shared by LPARs through an appliance partition known as the Virtual I/O Server (VIOS). The Power Hypervisor provides for high levels of reliability, availability and serviceability (RAS) by facilitating hot add/replace of many parts (model dependent: processors, memory, I/O adapters, blowers, power units, disks, system controllers, etc.)


title: Hypervisor

text: Similar trends have occurred with x86/x86-64 server platforms, where open-source projects such as Xen have led virtualization efforts. These include hypervisors built on Linux and Solaris kernels as well as custom kernels. Since these technologies span from large systems down to desktops, they are described in the next section.


title: Hypervisor

text: Since 2005, CPU vendors have added hardware virtualization assistance to their products; for example, Intel VT-x (code-named Vanderpool) and AMD-V (code-named Pacifica).


title: Hypervisor

text: An alternative approach requires modifying the guest operating system to make a system call to the underlying hypervisor, rather than executing machine I/O instructions that the hypervisor simulates. This is called paravirtualization in Xen, a "hypercall" in Parallels Workstation, and a "DIAGNOSE code" in IBM VM. Some microkernels, such as Mach and L4, are flexible enough to allow paravirtualization of guest operating systems.


title: Hypervisor

text: Embedded hypervisors, targeting embedded systems and certain real-time operating system (RTOS) environments, are designed with different requirements when compared to desktop and enterprise systems, including robustness, security and real-time capabilities. The resource-constrained nature of many embedded systems, especially battery-powered mobile systems, imposes a further requirement for small memory-size and low overhead. Finally, in contrast to the ubiquity of the x86 architecture in the PC world, the embedded world uses a wider variety of architectures and less standardized environments. Support for virtualization requires memory protection (in the form of a memory management unit or at least a memory protection unit) and a distinction between user mode and privileged mode, which rules out most microcontrollers. This still leaves x86, MIPS, ARM and PowerPC as widely deployed architectures on medium- to high-end embedded systems.


title: Hypervisor

text: As manufacturers of embedded systems usually have the source code to their operating systems, they have less need for full virtualization in this space. Instead, the performance advantages of paravirtualization make this usually the virtualization technology of choice. Nevertheless, ARM and MIPS have recently added full virtualization support as an IP option and has included it in their latest high-end processors and architecture versions, such as ARM Cortex-A15 MPCore and ARMv8 EL2.


title: Hypervisor

text: Other differences between virtualization in server/desktop and embedded environments include requirements for efficient sharing of resources across virtual machines, high-bandwidth, low-latency inter-VM communication, a global view of scheduling and power management, and fine-grained control of information flows.


title: Hypervisor

text: The use of hypervisor technology by malware and rootkits installing themselves as a hypervisor below the operating system, known as "hyperjacking", can make them more difficult to detect because the malware could intercept any operations of the operating system (such as someone entering a password) without the anti-malware software necessarily detecting it (since the malware runs below the entire operating system). Implementation of the concept has allegedly occurred in the SubVirt laboratory rootkit (developed jointly by Microsoft and University of Michigan researchers) as well as in the Blue Pill malware package. However, such assertions have been disputed by others who claim that it would be possible to detect the presence of a hypervisor-based rootkit.


title: Hypervisor

text: In 2009, researchers from Microsoft and North Carolina State University demonstrated a hypervisor-layer anti-rootkit called Hooksafe that can provide generic protection against kernel-mode rootkits.


title: Status quo

text: The related phrase "status quo ante", literally "the status before", refers to the state of affairs that existed previously.


title: Status quo

text: Via social movements the status quo might be overhauled. These seek to alleviate or prevent a particular issue and often to shape social feeling and cultural expression of a society or nation. The status quo is at least in part rejected by their protagonists – progressives – leading the movement.


title: Status quo

text: Advocating to improve the status quo is a persuasive rhetorical device. This is sometimes critiqued as a policy of deliberate ambiguity as not formalizing or defining the adverse situation.


title: Status quo

text: In democratic meetings, a casting vote will often be subject to a custom that is cast per the status quo, the heart of Speaker Denison's rule. Clark Kerr reportedly said: "The status quo is the only solution that cannot be vetoed".


title: Status quo

text: Karl Marx viewed organized religion as a means for the bourgeoisie to keep the proletariat content with an unequal status quo.


title: Frederick VIII of Denmark

text: Frederick VIII (; 3 June 1843 – 14 May 1912) was King of Denmark from 29 January 1906 until his death in 1912.


title: Frederick VIII of Denmark

text: The eldest son of King Christian IX, nicknamed the "Father-in-law of Europe", Frederick was related to royalty throughout Europe. He was heir apparent to the Danish throne and served as crown prince for more than 42 years. During the long reign of his father, he was largely excluded from influence and political power. Upon his father's death in 1906, he acceded to the throne at the advanced age of 62. In many ways, Frederick VIII was a liberal monarch who was much more favorable to the new parliamentary system introduced in 1901 than his father had been, being reform-minded and democratically inclined. Due to his late accession to the throne, however, Frederick's reign would last only six years, throughout which he was plagued by ill health.


title: Frederick VIII of Denmark

text: Prince Frederick was born on 3 June 1843 in the Yellow Palace, an 18th-century town house at 18 Amaliegade, immediately adjacent to the Amalienborg Palace complex, the principal residence of the Danish royal family in the district of Frederiksstaden in central Copenhagen. He was the eldest son and child of Prince Christian of Schleswig-Holstein-Sonderburg-Glücksburg and Princess Louise of Hesse-Kassel-Rumpenheim. His father's family was a cadet branch of the Danish royal House of Oldenburg, which was descended from Christian III and which had ruled as non-sovereign dukes in Schleswig-Holstein for eight generations. He was baptised with the names "Christian Frederik Vilhelm Carl", and was known as Prince Frederick. To the family he was known as "Fredy" throughout his life.


title: Frederick VIII of Denmark

text: He had five younger siblings: Alexandra (1844–1925), William (1845–1913), Dagmar (1847–1928), Thyra (1853–1933) and Valdemar (1858–1939). Although they were of royal blood, the family lived a comparatively normal life. They did not possess great wealth; their father's income from an army commission was about £800 per year and their house was a rent-free grace and favour property. Occasionally, Hans Christian Andersen was invited to call and tell the children stories before bedtime.


title: Frederick VIII of Denmark

text: In 1853, it was clear that the main line of the Oldenburg dynasty would become extinct with King Frederick VII, who was elderly and childless. Frederick's mother was very close to the succession, as she was a niece of the previous Oldenburg king, Christian VIII, through his sister. With the other heirs from the House of Hesse-Kassel having renounced their claims to the Danish throne in favour of Louise, who in turn relinquished her own claim, his father was eventually chosen as the heir presumptive. Accordingly, Frederick was created a Prince of Denmark.


title: Frederick VIII of Denmark

text: On 19 October 1860, he was confirmed together with his sister Princess Alexandra in the chapel of Christiansborg Palace. After his confirmation, Prince Frederick was given an extensive military education, pursuing a career in the Royal Danish Navy alongside his brother William. In 1863, Frederick was sent to study political science at the University of Oxford, but returned to Denmark upon his father becoming king in November that year. As heir apparent to the throne, he was given a seat in the State Council and subsequently assisted his father in the duties of government. In 1864, he formally took part in the Second Schleswig War against Prussia and Austria.


title: Frederick VIII of Denmark

text: The crown prince was a member of the Danish Order of Freemasons, serving as its Grand Master from 1871 until his death.


title: Frederick VIII of Denmark

text: Queen Louise wanted her eldest son to marry as well as had her two daughters, Alexandra and Dagmar. Queen Victoria of the United Kingdom had two yet unmarried daughters, Princess Helena and Princess Louise, and Queen Louise planned to have Frederick marry one of them. During his stay in England, Crown Prince Frederik actually took an interest in Princess Helena, and although his feelings were reciprocated, the connection did not materialize, as Queen Victoria opposed it. Victoria did not want her daughters to marry heirs to foreign thrones, as this would force them to live abroad, instead preferring German princes who could establish homes in England. In addition, Victoria had always been pro-German and another Danish alliance (Frederick's sister, Alexandra, had married Victoria's eldest son Edward, Prince of Wales), would not have been in line with her German interests.


title: Frederick VIII of Denmark

text: After this failed marriage attempt, attention turned instead to Princess Louise of Sweden and Norway, the only daughter of King Charles XV of Sweden and Norway. Princess Louise belonged to the Bernadotte dynasty, which had ruled in Sweden since 1818, when the founder, Jean-Baptiste Bernadotte, one of Napoleon Bonaparte's generals, was elected crown prince of Sweden in 1810 and later succeeded the throne as King Charles XIV John in 1818. He married Désirée Clary, who had once been engaged to the French Emperor. Charles XIV's son, Oscar I, had married Josephine of Leuchtenberg, the granddaughter of Napoleon's first wife, the Empress Josephine. King Oscar I and Queen Josephine were Princess Louise's paternal grandparents.


title: Frederick VIII of Denmark

text: The marriage was suggested as a way of creating friendship between Denmark and Sweden. Relations between the two countries had been tense after Sweden had not assisted Denmark during the war with Prussia in 1864. Frederick and Louise had met for the first time in 1862, but in 1868 Frederick was invited to Sweden to get to know Louise, and their meeting was described as a success. In July 1868, Crown Prince Frederick—then 25 years old—became engaged to the 17-year-old Princess Louise. A year later they were married in the chapel at the Royal Palace in Stockholm on 28 July 1869. Louise was the first Swedish princess to be married into the Danish royal house since the Middle Ages, and the marriage was welcomed in all three Scandinavian countries as a symbol of the new Scandinavism.


title: Frederick VIII of Denmark

text: On 10 August 1869, the newlyweds made their entrance into Copenhagen, where they received a warm welcome. As their residence, the couple was awarded Frederick VIII's Palace, an 18th century palace which forms part of the Amalienborg Palace complex in central Copenhagen. As their country residence they received Charlottenlund Palace, located on the shores of the Øresund Strait 10 kilometers north of Copenhagen. Here they had a refuge far away from court life at Amalienborg and here several of their children were born. Frederick and Louise had four sons and four daughters born between 1870 and 1890: Prince Christian, Prince Carl, Princess Louise, Prince Harald, Princess Ingeborg, Princess Thyra, Prince Gustav and Princess Dagmar. Their eldest sons, Christian and Carl, would become kings of Denmark and Norway respectively. Due to the many children, Charlottenlund Palace was rebuilt to accommodate the large family, and in 1880–81 the palace was expanded with a dome and two side wings.


title: Frederick VIII of Denmark

text: On 29 January 1906, King Christian IX died peacefully at the age of 87, after a reign of 42 years. Upon his father's death, Frederick succeeded to the throne at the age of 62. He was proclaimed king from the balcony of Christian VII's Palace at Amalienborg by the Prime Minister Jens Christian Christensen as Frederick VIII.


title: Frederick VIII of Denmark

text: Due to his late accession to the throne, Frederick's reign would last only six years, throughout which he was plagued by ill health. In many ways, Frederick VIII was a liberal monarch who was much more favorable to the new parliamentarian system than his father had been, being reform-minded and democratically inclined.


title: Frederick VIII of Denmark

text: On 14 May 1912, while on his return journey from a trip to Nice with his wife and four of his children, the king made a short stop in Hamburg, staying at the Hotel Hamburger Hof under the pseudonym "Count Kronsberg". That evening, Frederick—while incognito—went out for a stroll on the Jungfernstieg, during which he became faint and collapsed on a park bench at Gänsemarkt. He was discovered by a police officer who took him to the hospital, where he was pronounced dead; his cause of death was announced as a heart attack. As Frederick was incognito at the time and had no papers on him, his body was brought to the local morgue, where he was identified by the hotel manager the next morning.


title: Frederick VIII of Denmark

text: False rumors soon began to circulate about a possible scandal involving the king, as the place where he collapsed and died at was near a well-known brothel. The local police did not disclose details about the investigation, for fear of causing distress to the royal family.


title: Frederick VIII of Denmark

text: Frederick's body was transported via a special train to Travemünde, after which he was brought back to Denmark by the royal yacht "Dannebrog". After lying in state at the chapel of Christiansborg Palace in Copenhagen, he was interred in "Christian IX's Chapel" in Roskilde Cathedral on the island of Zealand, the traditional burial site for Danish monarchs since the 15th century.


title: Frederick VIII of Denmark

text: The reigning families of Denmark, Norway, Belgium and Luxembourg are descended from King Frederick VIII; Denmark's through his eldest son Christian X, and Norway's through his second son, Haakon VII. The royal family of Belgium and grand ducal family of Luxembourg are both descended from his daughter, Princess Ingeborg of Denmark.


title: Dame

text: Dame is an honorific title and the feminine form of address for the honour of damehood in many Christian chivalric orders, as well as the British honours system and those of several other Commonwealth realms, such as Australia and New Zealand, with the masculine form of address being "Sir". It is the female equivalent for knighthood, which is traditionally granted to males. Dame is also style used by baronetesses in their own right.


title: Dame

text: A woman appointed to the grades of the Dame Commander or Dame Grand Cross of the Order of Saint John, Equestrian Order of the Holy Sepulchre, Most Honourable Order of the Bath, the Most Distinguished Order of Saint Michael and Saint George, the Royal Victorian Order, or the Most Excellent Order of the British Empire becomes a dame. A Central European order in which female members receive the rank of Dame is the Imperial and Royal Order of Saint George. Since there is no female equivalent to a Knight Bachelor, women are always appointed to an order of chivalry. Women who are appointed to the Most Noble Order of the Garter or the Most Ancient and Most Noble Order of the Thistle are given the title of Lady rather than Dame.


title: Dame

text: The Order of the Ermine, founded by John V, Duke of Brittany in 1381, was the first order of chivalry to accept women; however, female knights existed for centuries in many places in the world prior to this. Like their male counterparts, they were distinguished by the flying of coloured banners and generally bore a coat of arms.


title: Dame

text: One woman who participated in tournaments was Joane Agnes Hotot (born 1378), but she was not the only one. Additionally, women adopted certain forms of regalia which became closely associated with the status of knighthood.


title: Dame

text: Unlike the male knights, it was virtually unimaginable to see women taking part in medieval battles or commanding battalions of soldiers, but there are exceptions. Joan of Arc is the most famous. Some wore armour, others commanded troops, and some were members of an official order of chivalry. One woman to wear full armour into battle was the Duchess Gaita of Lombardy (also called Sikelgaita), who rode beside her Norman mercenary husband, Robert Guiscard. She was a knight in her own right. Another was Petronilla de Grandmesnil, Countess of Leicester; wearing a mail hauberk with a sword and a shield, she defended her lands from Henry II of England. She and her husband participated in the rebellion in 1173 against King Henry II. However this does not mean that they were officially knighted the way men were.


title: Dame

text: Formerly, a knight's wife was given the title of "Dame" before her name, but this usage was replaced by "Lady" during the 17th century.


title: Dame

text: The title of dame as the official equivalent of knight was introduced in 1917 with the introduction of the Order of the British Empire, and was subsequently extended to the Royal Victorian Order in 1936, the Order of St Michael and St George, and finally the Order of the Bath in 1971.


title: Dame

text: The oldest had been actress Gwen Ffrangcon-Davies at the age of 100, until Olivia de Havilland was appointed two weeks before her 101st birthday.


title: Dame

text: The prefix is used with the holder's given name or full name, but never with the surname alone; this follows the same usage customs as 'Sir'.


title: Zakat

text: Zakat (; , "that which purifies", also Zakat al-mal , "zakat on wealth", or Zakah) is a form of almsgiving, often collected by the Muslim Ummah. It is considered in Islam as a religious obligation, and by Quranic ranking, is next after prayer ("salat") in importance.


title: Zakat

text: As one of the Five Pillars of Islam, zakat is a religious duty for all Muslims who meet the necessary criteria of wealth to help the needy. It is a mandatory charitable contribution, often considered to be a tax. The payment and disputes on zakat have played a major role in the history of Islam, notably during the Ridda wars.


title: Zakat

text: Zakat on wealth is based on the value of all of one's possessions. It is customarily 2.5% (or ) of a Muslim's total savings and wealth above a minimum amount known as "nisab" each lunar year, but Islamic scholars differ on how much "nisab" is and other aspects of zakat. According to Islamic doctrine, the collected amount should be paid to the poor and the needy, Zakat collectors, recent converts to Islam, those to be freed from slavery, those in debt, "in the cause of Allah" and to benefit the stranded traveller.


title: Zakat

text: Today, in most Muslim-majority countries, zakat contributions are voluntary, while in Libya, Malaysia, Pakistan, Saudi Arabia, Sudan and Yemen, zakat is mandated and collected by the state (as of 2015).


title: Zakat

text: Shias, unlike Sunnis, traditionally regarded zakat as a private and voluntary action, and they give zakat to imam-sponsored rather than state-sponsored collectors.


title: Zakat

text: Zakat is considered a way to purify one's income and wealth from sometimes worldly, impure ways of acquisition.


title: Zakat

text: According to Sachiko Murata and William Chittick, "Just as ablutions purify the body and salat purifies the soul (in Islam), so zakat purifies possessions and makes them pleasing to God."


title: Zakat

text: The Quran discusses charity in many verses, some of which relate to zakat. The word zakat, with the meaning used in Islam now, is found, for example, in suras: 7:156, 9:60, 19:31, 19:55, 21:73, 23:4, 27:3, 30:39, 31:4 and 41:7.


title: Zakat

text: Zakat is found in the early Medinan suras and described as obligatory for Muslims. It is given for the sake of salvation. Muslims believe those who give zakat can expect reward from God in the afterlife, while neglecting to give zakat can result in damnation. Zakat is considered part of the covenant between God and a Muslim.


title: Zakat

text: Verse 2.177 (Picktall translation) sums up the Quranic view of charity and almsgiving (Another name for Zakat is the "Poor Due"):


title: Zakat

text: According to Yusuf al-Qaradawi, verse 9.5 of the Quran makes zakat one of three prerequisites for pagans to become Muslims: "but if they repent, establish prayers, and practice zakat they are your brethren in faith".


title: Zakat

text: Each of the most trusted hadith collections in Islam have a book dedicated to zakat. "Sahih Bukhari"s Book 24, "Sahih Muslim"s Book 12, and "Sunan Abu-Dawud"'s Book 9 discuss various aspects of zakat, including who must pay, how much, when and what. The 2.5% rate is also mentioned in the hadiths.


title: Zakat

text: The hadiths admonish those who do not give the zakat. According to the hadith, refusal to pay or mockery of those who pay zakat is a sign of hypocrisy, and God will not accept the prayers of such people. The sunna also describes God's punishment for those who refuse or fail to pay zakat. On the day of Judgment, those who did not give the zakat will be held accountable and punished.


title: Zakat

text: The hadith contain advice on the state-authorized collection of the zakat. The collectors are required not to take more than what is due, and those who are paying the zakat are asked not to evade payment. The hadith also warn of punishment for those who take zakat when they are not eligible to receive it (see Distribution below).


title: Zakat

text: The amount of zakat to be paid by an individual depends on the amount of money and the type of assets the individual possesses. The Quran does not provide specific guidelines on which types of wealth are taxable under the zakat, nor does it specify percentages to be given. However, it clearly indicates to donate the "surplus" of one's income. But the customary practice in the Islamic world has been that the amount of zakat paid on capital assets (e.g. money) is 2.5% (). Zakat is additionally payable on agricultural goods, precious metals, minerals, and livestock at a rate varying between 2.5% and 20% (1/5), depending on the type of goods.


title: Zakat

text: Zakat is usually payable on assets continuously owned over one lunar year that are in excess of the "nisab", a minimum monetary value. However, Islamic scholars have disagreed on this issue. For example, Abu Hanifa did not regard the nisab limit to be a pre-requisite for zakat, in the case of land crops, fruits and minerals. Other differences between Islamic scholars on zakat and nisab are acknowledged as follows by Yusuf al-Qaradawi,


title: Zakat

text: Unlike prayers, we observe that even the ratio, the exemption, the kinds of wealth that are zakatable are subject to differences among scholars. Such differences have serious implications for Muslims at large when it comes to their application of the Islamic obligation of zakat. For example, some scholars consider the wealth of children and insane individuals zakatable, others don't. Some scholars consider all agricultural products zakatable, others restrict zakat to specific kinds only. Some consider debts zakatable, others don't. Similar differences exist for business assets and women's jewelry. Some require certain minimum (nisab) for zakatability, some don't. etc. The same kind of differences also exist about the disbursement of zakat.<br> – Shiekh Mahmud Shaltut


title: Zakat

text: The consequence of failure to pay zakat has been a subject of extensive legal debate in traditional Islamic jurisprudence, particularly when a Muslim is willing to pay zakat but refuses to pay it to a certain group or the state. According to classical jurists, if the collector is unjust in the collection of zakat but just in its distribution, the concealment of property from him is allowed. If, on the other hand, the collector is just in the collection but unjust in the distribution, the concealment of property from him is an obligation ("wajib"). Furthermore, if the zakat is concealed from a just collector because the property owner wanted to pay his zakat to the poor himself, they held that he should not be punished for it. If collection of zakat by force was not possible, use of military force to extract it was seen as justified, as was done by Abu Bakr during the Ridda Wars, on the argument that refusing to submit to just orders is a form of treason. However, Abu Hanifa, the founder of the Hanafi school, disapproved of fighting when the property owners undertake to distribute the zakat to the poor themselves.


title: Zakat

text: Some classical jurists held the view that any Muslim who consciously refuses to pay zakat is an apostate, since the failure to believe that it is a religious duty ("fard") is a form of unbelief ("kufr"), and should be killed. However, prevailing opinion among classical jurists prescribed sanctions such as fines, imprisonment or corporal punishment. Some classical and contemporary scholars such as Ishaq Ibn Rahwayh and Yusuf al-Qaradawi have stated that the person who fails to pay Zakat should have the payment taken from them, along with half of his wealth. Additionally, those who failed to pay the zakat would face God's punishment in the afterlife on the day of Judgment.


title: Zakat

text: In modern states where zakat payment is compulsory, failure to pay is regulated by state law similarly to tax evasion.


title: Zakat

text: According to the Quran's Surah Al-Tawba, there are eight categories of people ("asnaf") who qualify to benefit from zakat funds.


title: Zakat

text: Islamic scholars have traditionally interpreted this verse as identifying the following eight categories of Muslim causes to be the proper recipients of zakat:


title: Zakat

text: Zakat should not be given to one's own parents, grandparents, children, grandchildren, spouses or the descendants of Muhammad.


title: Zakat

text: Neither the Quran nor the Hadiths specify the relative division of zakat into the above eight categories. According to the Reliance of the Traveller, the Shafi'i school requires zakat is to be distributed equally among the eight categories of recipients, while the Hanafi school permits zakat to be distributed to all the categories, some of them, or just one of them. Classical schools of Islamic law, including Shafi'i, are unanimous that collectors of zakat are to be paid first, with the balance to be distributed equally amongst the remaining seven categories of recipients, even in cases where one group's need is more demanding.


title: Zakat

text: Muslim scholars disagree whether zakat recipients can include non-Muslims. Islamic scholarship, historically, has taught that only Muslims can be recipients of zakat. In recent times, some state that zakat may be paid to non-Muslims after the needs of Muslims have been met, finding nothing in the Quran or sunna to indicate that zakat should be paid to Muslims only.


title: Zakat

text: Additionally, the zakat funds may be spent on the administration of a centralized zakat collection system. Representatives of the Salafi movement include propagation of Islam and any struggle in righteous cause among permissible ways of spending, while others argue that zakat funds should be spent on social welfare and economic development projects, or science and technology education. Some hold spending them for defense to be permissible if a Muslim country is under attack. Also, it is forbidden to disburse zakat funds into investments instead of being given to one of the above eight categories of recipients.


title: Zakat

text: The zakat is considered by Muslims to be an act of piety through which one expresses concern for the well-being of fellow Muslims, as well as preserving social harmony between the wealthy and the poor. Zakat promotes a more equitable redistribution of wealth and fosters a sense of solidarity amongst members of the "Ummah".


title: Zakat

text: Zakat, an Islamic practice initiated by the Islamic prophet Muhammad, was first collected on the first day of Muharram. It has played an important role throughout its history. Schact suggests that the idea of zakat may have entered Islam from Judaism, with roots in the Hebrew and Aramaic word "zakut". However, some Islamic scholars disagree that the Qur'anic verses on zakat (or zakah) have roots in Judaism.


title: Zakat

text: The caliph Abu Bakr, believed by Sunni Muslims to be Muhammad's successor, was the first to institute a statutory zakat system. Abu Bakr established the principle that the zakat must be paid to the legitimate representative of Muhammad's authority (i.e. himself). Other Muslims disagreed and refused to pay zakat to Abu Bakr, leading to accusations of apostasy and, ultimately, the Ridda wars.


title: Zakat

text: The second and third caliphs, Umar ibn al-Khattab and Usman ibn Affan, continued Abu Bakr's codification of the zakat. Uthman also modified the zakat collection protocol by decreeing that only "apparent" wealth was taxable, which had the effect of limiting zakat to mostly being paid on agricultural land and produce. During the reign of Ali ibn Abu Talib, the issue of zakat was tied to legitimacy of his government. After Ali, his supporters refused to pay zakat to Muawiyah I, as they did not recognize his legitimacy.


title: Zakat

text: The practice of Islamic state-administered zakat was short-lived in Medina. During the reign of Umar bin Abdul Aziz (717–720 AD), it is reported that no one in Medina needed the zakat. After him, zakat came more to be considered as an individual responsibility. This view changed over Islamic history. Sunni Muslims and rulers, for example, considered collection and disbursement of zakat as one of the functions of an Islamic state; this view has continued in modern Islamic countries.


title: Zakat

text: Zakat is one of the five pillars of Islam, and in various Islamic polities of the past was expected to be paid by all practising Muslims who have the financial means ("nisab"). In addition to their zakat obligations, Muslims were encouraged to make voluntary contributions ("sadaqat"). The zakat was not collected from non-Muslims, although they were required to pay the "jizyah" tax. Depending on the region, the dominant portion of zakat went typically to "Amil" (the zakat collectors) or Sabīlillāh (those fighting for religious cause, the caretaker of local mosque, or those working in the cause of God such as proselytizing non-Muslims to convert to Islam).


title: Zakat

text: According to the researcher Russell Powell in 2010, zakat was mandatory by state law in Libya, Malaysia, Pakistan, Saudi Arabia, Sudan, and Yemen. There were government-run voluntary zakat contribution programs in Bahrain, Bangladesh, Egypt, Indonesia, Iran, Jordan, Kuwait, Lebanon, Maldives and the United Arab Emirates.


title: Zakat

text: In a 2019 study conducted by the Institute for Social Policy and Understanding that examined philanthropy for American Muslims in comparison to other faith and non-faith groups, it was found that for American Muslims, Zakat was an important driver of charitable giving. This results in American Muslims being the most likely faith group studied to be motivated to donate based on a believed religious obligation (zakat), and a “feeling that those with more should help those with less”, referencing again the concept and religious imperative behind Zakat.


title: Zakat

text: Today, in most Muslim countries, Zakat is at the discretion of Muslims over how and whether to pay, typically enforced by fear of God, peer pressure and an individual's personal feelings. Among the Sunni Muslims, Zakat committees, linked to a religious cause or local mosque, collect zakat. Among the Shia Muslims, deputies on behalf of Imams collect the zakat.


title: Zakat

text: In six of the 47 Muslim-majority countries—Libya, Malaysia, Pakistan, Saudi Arabia, Sudan and Yemen—zakat is obligatory and collected by the state. In Jordan, Bahrain, Kuwait, Lebanon, and Bangladesh, the zakat is regulated by the state, but contributions are voluntary.


title: Zakat

text: The states where Zakat is compulsory differ in their definition of the base for zakat computation. Zakat is generally levied on livestock (except in Pakistan) and agricultural produce, although the types of taxable livestock and produce differ from country to country. Zakat is imposed on cash and precious metals in four countries with different methods of assessment. Income is subject to zakat in Saudi Arabia and Malaysia, while only Sudan imposes zakat on "wealth that yields income". In Pakistan, property is exempt from the zakat calculation basis, and the compulsory zakat is primarily collected from the agriculture sector.


title: Zakat

text: Under compulsory systems of zakat tax collection, such as Malaysia and Pakistan, evasion is very common and the zakat (alms tax) is regressive. A considerable number of Muslims accept their duty to pay zakat, but deny that the state has a right to levy it, and they may pay zakat voluntarily while evading official collection. In discretion-based systems of collection, studies suggest zakat is collected from and paid only by a fraction of Muslim population who can pay.


title: Zakat

text: In the United Kingdom, which has a Muslim minority, more than three out of ten Muslims gave to charity (Zakat being described as "the Muslim practice of charitable donations"), according to a 2013 poll of 4000 people. According to the self-reported poll, British Muslims, on average, gave US$567 to charity in 2013, compared to $412 for Jews, $308 for Protestants, $272 for Catholics and $177 for atheists.


title: Zakat

text: The primary sources of sharia also do not specify to whom the zakat should be paid to zakat collectors claiming to represent one class of zakat beneficiary (for example, poor), collectors who were representing religious bodies, or collectors representing the Islamic state. This has caused significant conflicts and allegations of zakat abuse within the Islamic community, both historically and in modern times.


title: Zakat

text: "Fi Sabillillah" is the most prominent "asnaf" in Southeast Asian Muslim societies, where it broadly construed to include funding missionary work, Quranic schools and anything else that serves the Islamic community ("ummah") in general.


title: Zakat

text: In 2012, Islamic financial analysts estimated annual zakat spending exceeded US$200 billion per year, which they estimated to be 15 times more than dai provided than year by the United Nations Office for the Coordination of Humanitarian Affairs. Islamic scholars and development workers state that much of this zakat practice is mismanaged, wasted or ineffective. About a quarter of the Muslim world continues to live on $1.25 a day or less, according to the 2012 report.


title: Zakat

text: A 1999 study of Sudan and Pakistan, where zakat is mandated by the state, estimated that zakat proceeds ranged between 0.3 and 0.5 percent of GDP, while a more recent report put zakat proceeds in Malaysia at 0.1% of GDP. These numbers are far below what was expected when the governments of these countries tried to Islamize their economies, and the collected amount is too small to have a sizeable macroeconomic effect.


title: Zakat

text: In a 2014 study, Nasim Shirazi states widespread poverty persists in Islamic world despite zakat collections every year. Over 70% of the Muslim population in most Muslim countries is impoverished and lives on less than US$2 per day. In over 10 Muslim-majority countries, over 50% of the population lived on less than $1.25 per day income, states Shirazi. Zakat has so far failed to relieve large scale absolute poverty among Muslims in most Muslim countries.


title: Zakat

text: Zakat in wealth is the third pillar of Islam. It is obligatory upon Muslims whose annual income has exceeded the Nisab threshold. They are obliged to pay only 2.5% of their earnings to the poor and the needy once a year.


title: Zakat

text: Zakat is required of Muslims only. For non-Muslims living in an Islamic state, sharia was historically seen as mandating "jizya" (poll tax). Other forms of taxation on Muslims or non-Muslims, that have been used in Islamic history, include "kharaj" (land tax), "khums" (tax on booty and loot seized from non-Muslims, sudden wealth), "ushur" (tax at state border, sea port, and each city border on goods movement, customs), "kari" (house tax) and "chari" (sometimes called "maara", pasture tax).


title: Zakat

text: There are differences in the interpretation and scope of zakat and other related taxes in various sects of Islam. For example, "khums" is interpreted differently by Sunnis and Shi'ites, with Shia expected to pay one fifth of their excess income after expenses as "khums", while Sunnis do not. At least a tenth part of zakat and "khums" every year, among Shi'ites, after its collection by Imam and his religious deputies under its doctrine of "niyaba", goes as income for its hierarchical system of Shia clergy. Among Ismaili sub-sect of Shias, the mandatory taxes which includes zakat, is called "dasond", and 20% of the collected amount is set aside as income for the Imams. Some branches of Shia Islam treat the right to lead as Imam and right to receive 20% of collected zakat and other alms as a hereditary right of its clergy.


title: Zakat

text: "Sadaqah" is another related term for charity, usually construed as a discretionary counterpart to zakat.


title: Zakat

text: "Zakat al-Fitr" or "Sadaqat al-Fitr" is another, smaller charitable obligation, mandatory for all Muslims — male or female, minor or adult as long as he/she has the means to do so — that is traditionally paid at the end of the fasting in the Islamic holy month of Ramadan. The collected amount is used to pay the zakat collectors and to the poor Muslims so that they may be provided with a means to celebrate 'Eid al-Fitr (the festival of breaking the fast) following Ramadan, along with the rest of the Muslims.


title: Zakat

text: Zakat al-Fitr is a fixed amount assessed per person, while Zakat al mal is based on personal income and property. According to one source, the Hidaya Foundation, the suggested Zakat al Fitr donation is based on the price of 1 Saa (approx. 3 kg) of rice or wheat at local costs, (as of 2015, approximately $7.00 in the U.S.). In U.K, according to Zakatcalc the values would be appx. £3.50 (wheat), £6.40 (barley), £15 (dates) and £20.50 (raisins) for year 2021.


title: Japanese macaque

text: The Japanese macaque (Macaca fuscata), also known as the snow monkey, is a terrestrial Old World monkey species that is native to Japan. Colloquially, they are referred to as "snow monkeys" because some live in areas where snow covers the ground for months each year – no other non-human primate lives further north, nor in a colder climate. Individuals have brownish grey fur, pinkish-red faces, and short tails. Two subspecies are known.


title: Japanese macaque

text: In Japan, the species is known as Nihonzaru (ニホンザル, a combination of "Nihon" 日本 "Japan" + "saru" 猿 "monkey") to distinguish it from other primates, but the Japanese macaque is very familiar in Japan — as it is the only species of monkey in Japan — so when Japanese people simply say "saru", they usually have the Japanese macaque in mind.


title: Japanese macaque

text: The Japanese macaque is sexually dimorphic. Males weigh on average , while females average . Macaques from colder areas tend to weigh more than ones from warmer areas. The average height for males is , while the average female height is . The size of their brain is approximately . Japanese macaques have short stumps for tails that average in males and in females. The macaque has a pinkish face and posterior. The rest of its body is covered in brown or greyish hair. The coat of the macaque is well-adapted to the cold and its thickness increases as temperatures decrease. The macaque can cope with temperatures as low as −20 °C (−4 °F).


title: Japanese macaque

text: Macaques mostly move on all fours. They are semiterrestrial, with females spending more time in the trees and males spending more time on the ground. Macaques are known to leap. They are very good swimmers and have been reported to swim a distance of more than half a kilometer. The lifespan of Japanese macaques is up to 32 years for females and up to 28 years for males, which is high when compared to what typically is seen in other macaque species.


title: Japanese macaque

text: Japanese macaques live in matrilineal societies, and females stay in their natal groups for life, while males move out before they are sexually mature. Macaque groups tend to contain several adults of both genders. In addition, a Japanese macaque troop contains several matrilines. These matrilines may exist in a dominance hierarchy with all members of a specific group ranking over members of a lower-ranking group. Temporary all-male groups also exist, composed of those who have recently left their natal groups and are about to transfer to another group. However, many males spend ample time away from any group, and may leave and join several groups.


title: Japanese macaque

text: Females of the troop exist in a stable dominance hierarchy and a female's rank depends on that of her mother. Younger females tend to rank higher than their older siblings. Higher-ranking matrilines have greater social cohesion. Strong relationships with dominant females can allow dominant males to retain their rank when they otherwise would not. Males within a group normally have a dominance hierarchy, with one male having alpha status. The dominance status of male macaques usually changes when a former alpha male leaves or dies. Other ways in which status of male hierarchy changes, is when an alpha male loses his rank or when a troop splits, leaving a new alpha male position open. The longer a male is in a troop, the higher his status is likely to be.


title: Japanese macaque

text: Females typically maintain both social relationships and hygiene through grooming. Grooming occurs regardless of climate or season. Females who are matrilineally related groom each other more often than unrelated individuals. Females will groom unrelated females to maintain group cohesion and social relationships between different kinships in a troop. Nevertheless, a female will only groom a limited number of other females, even if the group expands. Females will groom males, usually for hygienic purposes, but that behavior also may serve to attract dominant males to the group. Mothers pass their grooming techniques to their offspring, most probably through social rather than genetic means, as a cultural characteristic.


title: Japanese macaque

text: Yakei is a female who rose to leadership of her troop at Takasakiyama Natural Zoological Garden in 2021. Her troop consists of 677 Japanese macaque monkeys who live in a sanctuary that was established in 1952 at the zoological garden. At age nine, she overthrew the dominant males in her troop and displaced her high-ranking mother as well. She became the first female leader of the troop during its recorded history of seventy years. Yakei has retained her leadership position through her first breeding season that had been thought to be a time when she might have been challenged successfully. Both scientific and popular interest is leading to extensive coverage of Yakei's behavior.


title: Japanese macaque

text: A male and female macaque form a pair bond and mate, feed, rest, and travel together during the mating season, and on average, this relationship typically lasts 16 days. Females enter into consortships with an average of four males a season. Higher-ranking males have longer consortships than their subordinates. In addition, higher-ranking males try to disrupt consortships of lower-ranking males. Females may choose to mate with males of any rank. However, dominant males mate more frequently than others, as they are more successful in mate guarding. The female decides whether mating takes place. In addition, a dominant position does not mean a male will successfully mate with a female. Males may join other troops temporarily during the mating season and mate with those females.


title: Japanese macaque

text: During the mating season, the face and genitalia of males redden and their tails stand erect, and the faces and anogenital regions of females turn scarlet. Macaques copulate both on the ground and in the trees. Roughly one in three copulations leads to ejaculation. Macaques signal when they are ready to mate by looking backward over a shoulder, staying still, or walking backward toward their potential partner. A female emits a "squawk", a "squeak", or produces an atonal "cackle" during copulation. Males have no copulatory vocalizations.


title: Japanese macaque

text: Females engage in same-sex mounting unrelated to the mating season and therefore, are mounted more often by other females than by males. This behavior has led to proposals in literature that female Japanese macaques are generally bisexual, rather than preferentially homo- or heterosexual.


title: Japanese macaque

text: A macaque mother moves to the periphery of her troop to give birth in a secluded spot, unless the group is moving, when the female must stay with it. Macaques usually give birth on the ground. Infants are born with dark-brown hair. A mother and her infant tend to avoid other troop members. The infants consume their first solid food at five to six weeks old, and by seven weeks, can forage independently from their mothers. A mother carries her infant on her belly for its first four weeks. After this time, the mother carries her infant on her back, as well. Infants continue to be carried past a year. The mother may socialize again very slowly. However, alloparenting has been observed, usually by females who have not had infants of their own. Male care of infants occurs in some groups, but not in others; when they do, usually, older males protect, groom, and carry an infant as a female would.


title: Japanese macaque

text: Infants have fully developed their locomotive abilities within three to four months. When an infant is seven months old, its mother discourages suckling; full weaning happens by its eighteenth month.


title: Japanese macaque

text: In some populations, male infants tend to play in larger groups more often than females. However, female infants have more social interaction than their male counterparts, and female infants will associate with individuals of all ages and genders. When males are two years old, they prefer to associate with other males around the same age.


title: Japanese macaque

text: During feeding or moving, Japanese macaques often emit sounds that are called "coos". These vocalizations most likely serve to keep the troop together and strengthen social relations among females. Macaques usually respond to coos with coos of their own. Coos also are uttered before grooming along with vocalizations identified as "girney" calls. Variants of the "girney" calls are made in different contexts. This call also serves as appeasement between individuals in aggressive encounters. Macaques have alarm calls for alerting to danger and other calls to signal estrus that sound similar to danger alerts. Threat calls are heard during aggressive encounters and are often uttered by supporters of those involved in antagonistic interactions. The individual being supported supports those callers in the future.


title: Japanese macaque

text: The Japanese macaque is an intelligent species. Researchers studying this species at Koshima Island in Japan left sweet potatoes out on the beach for them to eat, then witnessed one female, named Imo (Japanese for yam or potato), washing the food off with river water rather than brushing it off as the others were doing, and later even dipping her clean food into salty seawater. After a while, other members of her troop started to copy her behavior. This trait was then passed on from generation to generation, until eventually all except the oldest members of the troop were washing their food and even seasoning it in the sea. Similarly, she was the first observed balling up wheat with air pockets and soil, throwing it all into the water, and waiting for the wheat to float back up free from the soil to consume it. An altered misaccount of this incident is the basis for the "hundredth monkey" effect. That behavior also spread among her troop members.


title: Japanese macaque

text: The macaque has other unusual behaviours, including bathing together in hot springs and rolling snowballs for fun. Also, in recent studies, the Japanese macaque has been found to develop different accents, similar to human cultures. Macaques in areas separated by only a few hundred miles may have very different pitches in their calls, their form of communication. The Japanese macaque has been involved in many studies concerning neuroscience and also is used in drug testing.


title: Japanese macaque

text: The Japanese macaque is diurnal. In colder areas, from autumn to early winter, macaques feed in between different activities. In the winter, macaques have two to four feeding bouts each day, with fewer daily activities. In the spring and summer, they have two or three bouts of feeding daily. In warmer areas such as Yakushima, daily activities are more varied. The typical day for a macaque is 20.9% inactive, 22.8% traveling, 23.5% feeding, 27.9% social grooming, 1.2% self-grooming, and 3.7% other activities. Macaques usually sleep in trees, but they also sleep on the ground, as well as on or near rocks and fallen trees. During the winter, macaques huddle together for warmth on sleeping grounds. Macaques at Jigokudani Monkey Park are notable for visiting the hot springs in the winter to warm up.


title: Japanese macaque

text: The Japanese macaque is omnivorous and eats a variety of foods. More than 213 species of plants are included in the macaque's diet. They also eat insects, bark, and soil. On Yakushima Island, fruit, mature leaves, and fallen seeds are primarily eaten. The macaque also eats fungi, ferns, invertebrates, and other parts of plants. In addition, in Yakushima, their diets vary seasonally with fruits being eaten in the summer and herbs being eaten in the winter. Farther north, macaques mostly eat seasonal foods such as fruit and nuts to store fat for the winter, when food is scarce. On the northern island of Kinkasan, macaques mostly eat fallen seeds, herbs, young leaves, and fruits. When preferred food items are not available, macaques dig up underground plant parts (roots or rhizomes) or eat soil and fish.


title: Japanese macaque

text: The Japanese macaque is the northernmost-living non-human primate. It is found on three of the four main Japanese islands: Honshu, Shikoku, and Kyushu. The northernmost populations live on the Shimokita Peninsula, the northernmost point of Honshu. Several of Japan's smaller islands are inhabited by macaques as well. The southernmost population living on Yakushima Island is a subspecies of the mainland macaques, "M. fuscata yakui". A study in 1989 estimated the total population of wild Japanese macaques to be 114,431 individuals.


title: Japanese macaque

text: The Japanese macaque lives in a variety of habitats. It inhabits subtropical forests in the southern part of its range and subarctic forests in mountainous areas in the northern part of its range. It can be found in both warm and cool forests, such as the deciduous forests of central and northern Japan and the broadleaf evergreen forests in the southwest of the islands. Warm temperate evergreen and broadleaf forests and cool temperate deciduous broadleaf forests are the most important habitats for macaques.


title: Japanese macaque

text: In 1972, a troop of approximately 150 Japanese macaques was relocated from Kyoto to a primate observatory in southwest Texas, United States. The observatory is an enclosed ranch-style environment and the macaques have been allowed to roam with minimal human interference. At first, many perished in the unfamiliar habitat, which consists of arid brushland. The macaques eventually adapted to the environment, learned to avoid predators (such as eagles, coyotes, and rattlesnakes), and they learned to forage for mesquite beans, cactus fruits, and other foods. The surviving macaques flourished, and by 1995, the troop consisted of 500 to 600 individuals. In 1996, hunters maimed or killed four escaped macaques; as a result, legal restrictions were publicly clarified and funds were raised to establish a new sanctuary near Dilley, Texas. In 1999, the Animal Protection Institute took over management of the sanctuary and began to rescue other species of primates. As of 2017, the troop cohabitated with six other species of macaque.


title: Japanese macaque

text: Traditional human behaviors that are threats to macaques have been slash-and-burn agriculture, use of forest woods for construction and fuel, and hunting. Since World War II, these threats have declined due to social and economic changes in Japan, but other threats have emerged. The replacement of natural forests with lumber plantations is the most serious threat. As human prosperity has grown, macaques have lost their fear of humans and have increased their presence in both rural and urban areas, with one macaque recorded living in central Tokyo for several months. In 2022 the city of Yamaguchi experienced aggression from the monkeys with at least 50 people attacked.


title: Japanese macaque

text: The Japanese macaque (snow monkey) has featured prominently in the religion, folklore, and art of Japan, as well as in proverbs and idiomatic expressions in the Japanese language.


title: Japanese macaque

text: In Shinto belief, mythical beasts known as "raijū" sometimes appeared as monkeys and kept Raijin, the god of lightning, company. The "three wise monkeys", who warn people to "see no evil, hear no evil and speak no evil", are carved in relief over the door of the famous Tōshō-gū shrine in Nikkō.


title: Japanese macaque

text: The Japanese macaque is a feature of several fairy tales, such as the tale of "Momotarō" and the fable about "The Crab and the Monkey".


title: Japanese macaque

text: The monkey is part of the Chinese zodiac. That zodiac has been used for centuries in Japan and led to many representations of the macaque for that figure.


title: Japanese macaque

text: The creature was sometimes portrayed in paintings of the rich cultural epoch, the Edo period that flourished from 1603 to 1867, as a tangible metaphor for a particular year. The early nineteenth-century artist and samurai, Watanabe Kazan (1793-1841), created a painting of a macaque. The last great master of the ukiyo-e genre of woodblock printing and painting, Tsukioka Yoshitoshi, also featured the macaques in his prints. Also during the Edo period, numerous clasps for "kimono" or tobacco pouches (collectively called "netsuke") were carved in the shape of macaques.


title: Japanese macaque

text: Spoken references to macaques abound in the history of Japan. Originating from before his rise to power, the famed samurai, Toyotomi Hideyoshi, was compared to a monkey in appearance and nicknamed "Kozaru" ("Little Monkey"). In modern Japanese culture, because monkeys are considered to indulge their libido openly and frequently (much the same way as rabbits are thought to in some Western cultures), a man who is preoccupied with sex might be compared to or metaphorically referred to as a monkey, as might a romantically involved couple who are exceptionally amorous.