hyperbolic curve define
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hyperbolic Definition of hyperbolic. 1 geometry : of, relating to, or being like a curve that is formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone : of, relating to, or being analogous to a hyperbola.
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Hyperbola Hyperbola as plane section of a cone Hyperbola (red): two views of a cone and two Dandelin spheres d 1, d 2 The intersection of an upright double cone by a plane not through the vertex with slope greater than the slope of the lines on the cone is a hyperbola (see diagram: red curve).
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Rectangular Hyperbola with and discontinuities at . The inverse curve of a rectangular hyperbola with inversion center at the center of the hyperbola is a lemniscate (Wells 1991). If the three vertices of a triangle lie on a rectangular hyperbola, then so does the orthocenter (Wells 1991). Equivalently, if four points form an orthocentric system, then there is a family of rectangular hyperbolas through the points.
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Hyperbola You can also get a hyperbola when you slice through a cone. The slice must be steeper than that for a parabola, but does not. have to be parallel to the cone's axis for the hyperbola to be symmetrical. So the hyperbola is a conic section (a section of a cone).
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Cylinder A cylinder whose cross section is an ellipse, parabola, or hyperbola is called an elliptic cylinder, parabolic cylinder, or hyperbolic cylinder respectively. An elliptic cylinder with the half-axes a and b for the surface ellipse and the height h.An elliptic cylinder is a quadric surface, with the following equation in Cartesian coordinates : This equation is for an elliptic cylinder, a generalization of the ordinary, circular cylinder (a = b).here d is the diameter. For a given volume, the closed cylinder with the smallest surface area has h = 2r. Equivalently, for a given surface area, the closed cylinder with the largest volume has h = 2r, i.e. the cylinder fits snugly in a cube (height = diameter).
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- Eccentric hypertrophy is a type of hypertrophy where the walls and chamber of a hollow organ undergo growth in which the overall size and volume are enlarged.It is applied especially to the left ventricle of heart.orensic post-mortem examination of a case of hypertrophic cardiomyopathy, showing thickening of the cardiac muscle. Hypertrophy (from Greek ὑπέρ excess + τροφή nourishment) is the increase in the volume of an organ or tissue due to the enlargement of its component cells.
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- transfer in a 135° curved circular pipe under the thermal boundary conditions of constant wall temperature. At the inlet of the curved pipe, a parabolic velocity profile is imposed. Water is used as the working fluid. The effects of governing non-dimensional parameters, such as Reynolds number, Re, on the flow characteristics
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A Hyperbole Definition. Hyperbole, derived from a Greek word meaning “over-casting” is a figure of speech, which involves an exaggeration of ideas for the sake of emphasis.
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cosh 1 hyperbolic cosine; a hyperbolic function, cosh z = 1/2 (e z + e –z), related to cosine by the expression cosh i z = cos z, where i = √–1 Word Origin C19: from cos (ine) + h (yperbolic)
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- Definition. Hyperbole is a figure of speech (a form of irony) in which exaggeration is used for emphasis or effect; an extravagant statement. Adjective: hyperbolic. Contrast with understatement.
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hyperbolic curvein German en The other mutant (nonexcretor) possesses a threonine deaminase showing a sigmoid substrate saturation curve in contrast to the wild type enzyme, which shows a hyperbolic curve. springer de Die andere Mutante, ein Nichtausscheider, besitzt eine Threonin-Desaminase mit einer sigmoiden Substratsättigungskurve.
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100 Economics Terms a curved graph that illustrates the theory that, if tax rates rise beyond a certain level, they discourage economic growth, thereby reducing government revenues Supply side economics the branch of economics that concentrates on measures to increase output of goods and services in the long run.
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Hyperbole Definition of Hyperbole. Hyperbole is the use of obvious and deliberate exaggeration. Hyperbolic statements are often extravagant and not meant to be taken literally.These statements are used to create a strong impression and add emphasis.yperbole is the use of obvious and deliberate exaggeration. Hyperbolic statements are often extravagant and not meant to be taken literally.
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parabolic Definition of parabolic. 1  1 : expressed by or being a parable : allegorical. 2  2 : of, having the form of, or relating to a parabola motion in a parabolic curve.
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- Taylor Series Expansions of Hyperbolic Functions The and are Bernoulli and Euler Numbers, respectively. Home Membership About Us Privacy Disclaimer Contact Advertise
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- adjective. The definition of parabolic is expressed as a parable, or bowl-shaped. 1  An example of something parabolic is the lesson in Jesus' tale of the Good Samaritan.2  An example of something parabolic is a sattaline dish.INK / CITE ADD TO WORD LIST. adjective. The definition of parabolic is expressed as a parable, or bowl-shaped. 1  An example of something parabolic is the lesson in Jesus' tale of the Good Samaritan. 2  An example of something parabolic is a sattaline dish.
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- A hyperbola may be defined equivalently as the locus of points where the absolute value of the difference of the distances to the two foci is a constant equal to 2 a, the distance between its two vertices.
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- Eccentricity. Eccentricity: how much a conic section (a circle, ellipse, parabola or hyperbola) varies from being circular. A circle has an eccentricity of zero, so the eccentricity shows you how un-circular the curve is.
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Gerber Parabola Gerber Parabola. Gerber parabola refers to the parabolic line joining two points in x axis (Sut) and y axis (Se). The x-axis is stress amplitude and y axis is mean stress. Draw the diagram for Gerber line, Goodman line, and Soderberg line as below. From above figure there are some failure points just above the Gerber parabola line.
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- While , , parametrizes the unit circle, the hyperbolic functions , , parametrize the standard hyperbola , x>1. In the picture below, the standard hyperbola is depicted in red, while the point for various values of the parameter t is pictured in blue.
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hyperbolenoun  [ U] hyperbolenoun [ U ] uk ​ /haɪˈpɜː.bəl.i/ us ​ /haɪˈpɝː.bəl.i/ formal. › a way of speaking or writing that makes someone or something sound bigger, better, more, etc. than they are: The blurb on the back of the book was full of the usual hyperbole - enthralling, fascinating, and so on.
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Hyperbola A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows . The hyperbola is one of the three kinds of conic section , formed by the intersection of a plane and a double cone . (The other conic sections are the parabola and the ellipse . A circle is a special case of an ellipse.) If the plane intersects both halves of the double cone but does not pass through the apex of the cones, then the conic is a hyperbola. Hyperbolas arise in many ways: as the curve representing the function f ( x ) = 1 / x { Express yourself.
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- 1 enlarged beyond truth or reasonableness; had an exaggerated (or inflated) opinion of himself; a hyperbolic style [syn: exaggerated, inflated] 2 of or relating to a hyperbola; hyperbolic functions
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asymptote a straight line approached by a given curve as one of the variables in the equation of the curve approaches infinity. But after you have demonstrated to him the properties of the hyperbola and its asymptote, the apparent absurdity vanishes.
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Logistic function A logistic function or logistic curve is a common S shape (sigmoid curve), with equation: where e = the natural logarithm base (also known as Euler's number), x 0 = the x-value of the sigmoid's midpoint, L = the curve's maximum value, and.
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Definitions &Translations However many of these meanings are special instances of the definition which follows. A curve is a topological space which is locally homeomorphic to a line. In everyday language, this means that a curve is a set of points which, near each of its points, looks like a line, up to a deformation. A simple example of a curve is the parabola, shown to the right.