His Highness, Mohamed Sanusi II, epitomizes the three categories of greatness encapsulated in Shakespeare's famous line, quote, be not afraid of greatness, some are born great, some achieve greatness, and some have greatness thrust upon him, end of quote. He was born as Sanusi Mohamed Lamidu Sanusi on 31st July 1961, as grandson of the 11th Emea of Kano Mohamed Sanusi I. His father was a career diplomat who served as Nigerian ambassador to Belgium, China, and Canada, and later as permanent secretary in the Nigerian Ministry of Foreign Affairs. He attended the famous Keynes College in Lagos and Ahmadubelio University Zarya, where he earned a BSc economics in 1981, and an MSc with distinction in monetary policy in 1983. He later studied at the International Investor of Africa in Khartoum, where he earned a first-class degree in Islamic law in 1997. His career began as an academic at Ahmadubelio University Zarya, where he taught economics from 1983 to 1985 before moving to the banking sector, working first with Icon-Mechan Bankers Limited and then the United Bank of Africa, where he rose to the position of general manager. He then joined the First Bank of Nigeria as executive director in charge of risk and management control, and was later appointed as group managing director of First Bank in 2009. From his position as CEO of First Bank, he was appointed as governor of the Central Bank of Nigeria on 3rd June 2009, at the height of the global financial crisis which had negatively impacted the Nigerian banking sector. As central bank governor, he took bold steps in restoring stability and resilience in the Nigerian banking sector at a critical period. He was keen on protecting debository savings in distressed banks. He initiated reforms in the electronic payment system to effect connectivity between banks, such as the bank verification number and cashless Nigeria project, which tightened controls on suspicious money transactions. The First Islamic Bank in Nigeria was licensed during his tenure. He declared 2012 as a year for women in banking in Nigeria, and set a target of 40% female representation in senior management and board membership of Nigerian banks, leading the way by actively promoting women to senior positions in the central bank, and appointed the first female director of banking supervision in the central bank's history. The International Bankers Magazine named him as 2010 Africa and Global Central Bank Governor of the Year. Time Magazine also named him as one of the world's 100 most influential people in 2011, noting that having Lamidus annunciate as central bank governor was a key reason to hope for a new Nigeria. He made public his discovery that billions of dollars in oil revenue were not paid into the Nigerian treasury and were unaccounted for. His departure from the CBN in 2014 was a consequence of his persistent campaign against high-level governmental corruption. A headline of the independent newspaper of the 21st February 2014 read, Lamidus annunciate, brave Nigerian bank governor who fought corruption is pushed out. His removal as central bank governor was greeted with dismay in financial markets, leading to a sharp fall in the stock market and a plunge in the value of the Nigerian Naira before the bank intervened to proct it up. He was elected and confirmed as the 14th Emmy of Cano on 8th June 2014, the fulfillment of his declared long-term dream, taking the name Muhammad Sanusi II after his grandfather Muhammad Sanusi I. As the Emmy of Cano, he is confowed with immense traditional powers, giving cultural leadership and playing a pivotal role in the quest for peace and stability in Nigeria. His background in economics and Islamic law has proven extremely valuable in his role, making him a figure who straddles modern and traditional Nigeria in the spheres of complex finance and Islamic thoughts. He has pursued a pragmatic reformist program as Emmy and is currently championing the enactment of a new Muslim family code for northern Nigeria, aimed at regulating the age of marriage to deal with child marriage, banning forced marriages and ensuring alimony and security for diverse women. He advocates strongly for and is a promoter of public health, girl child education and women empowerment in northern Nigeria. His active support for immunization has placed Cano in the path to being polio-free, with the absence of any new cases of polio in Cano in the last five years. His highness is a prolific writer, a social critic, an anti-corruption advocate and leader who is a bridge between the past, present and future, a leader who works to integrate tradition and modernity. He is outspoken and see part of his role as being to challenge the status quo. In his 2010 convocation lecture at Bari University, Cano, he expressed the strong view that academics should not sit on the fence at the times of socioeconomic crisis, but should actively contribute to identifying the causes and finding solutions to such problems. The economics quoted him in 2004 as saying, quote, I love controversy. If you think there has to be a change, you need to step on tools. End of quote. In his youth, he participated in street protests against the annulment of the elections in Nigeria in 1993. It is my privilege now, modern president, to present to you his highness, Muhammad Sanusi II, the emir of Cano, for the award of honorary doctor of science DSE in economics, and I invite his highness to address this assembly. In graduating class of 2019, congregation and convocation, it is a great honor for me to stand before you this morning and accept the award of honorary doctorate degree in economics from the school. It is also the deep sense of humility that I read the biography of the other honorees this year, and I thank you for considering me worthy for inclusion in such exceptional company. For us in Cano, we continue to acknowledge the role of Suez in producing some of the leading lights in academia and public policy over decades. I will give only three examples out of many. Ambassador Omar Bashir Wali studied comparative law in Suez in 1961 and 62. He had just completed his diploma when my grandfather, emir Muhammad Sanusi I, came to London and met him. He immediately appointed him the Magatakalda of chief scribe in the emir's court, being the first and only one to have studied the northern Nigerian penal code in the UK. He became the AMS principal advisor on the penal code, thus aiding the smooth transition to the implementation of a codified law in northern Nigeria. The second person I would like to mention is Professor M. K. M. Galaydenchi, who incidentally was my mother's maternal uncle. He was the first PhD from Cano in Suez in 1969, and writer of the classic text on House of Grammar. The history of House of Studies will never be complete without Professor Galaydenchi. Finally, I would like to recall Dr. Hasan Gorzo, who completed his PhD in 1972 at Suez on the 15th century Moroccan scholar Abdul Karim Al-Maghili. Al-Maghili is credited with the conversion of many of the political elite among the Hausa, Fulani, and Tuareg to Islam. Here it was who advised the Circuit of Cano Muhammad Rufa to build the palace in Cano at its present location, and he wrote for him the book, Obligations of the Princess, which is considered the first written constitution in Sub-Saharan Africa. Dr. Gorzo went on to become the Grand Cardi in Cano State Sharia courts. I am aware that the Vice Chancellor of Bairau University is in this audience, and I am sure he has a long list of academics who pass through Suez, so thank you Suez. I have only a few minutes, which keeps me on the straight and narrow. I will address a few words to the graduating students. First, let me congratulate you and your families on this achievement. My respect for this institution and what it stands for are boundless. And if I may say so, this is why I have three daughters this year, all studying for various master's programs in Suez.  Many of the values that have made the world a peaceful and happy place are under threat. And for those of you working in and on Africa, it is important to recognize the grave existential threat facing the continent. Recently, the U.S. President Donald Trump asked four U.S. Congresswomen to return to the country, to the filthy crime-infested countries they came from. The U.K. has just had a new prime minister, Boris Johnson, who is on record, as having said that Islam is responsible for the buckwadness of Muslim nations. Both statements have been widely condemned, and rightfully so, as racist and inappropriate. Mr. Johnson's article displayed a superficial understanding of Islam. But beyond the anger and indignation, it is time to reflect. In his introduction to France finance the wretched of the earth, Jean Paul Sartre noted that in the colonies, the truth stood naked, but in the fatherland, they preferred its clothes in robes. Let us assume, as Africans and as Muslims, that we locked ourselves in a room with no Americans or Europeans looking in, and spoke to ourselves the naked truth. Are many parts of the countries in Africa not filthy and crime-infested? Is Africa not projected to have 85 percent of all those living in extreme poverty in the world by 2050? Have the African elite, who took over from the colonizers and settlers not done more damage to the poor in their countries through corruption and bad policies than the imperialists? Have some Muslims not refused to acknowledge that Muslim law is situated in time and space, and certain elements of 13th century jurisprudence need updating in the 21st century? Has the refusal not led to violent extremism, domestic violence, gender injustice and general marginalization of women? And finally, are we the African elite, not now the new settler, those who seek to disguise the truth and have its sugar coated? Do we not prefer psycho-fans who tell us that all is well, that we are the blessing to the continent, that the beautiful African sun shines out of our backs, while the children die of malnutrition?  Millions are on the streets out of school and without a future? Is this, or is this not the naked truth of sad? We always blame the victims. When we do not build schools, we see the poor do not want to educate their goals, but the truth is one. The poor people of Africa are not responsible for their poverty. We are responsible. If this is true, then you know what you have to do. You have no choice. You are the future and the future is in your hands. Step out, take control of it, change it and stop waiting for us to do it for you, because sadly we have failed. The good news is that change is possible. We do have a number of good examples. Rwanda, Botswana, Ethiopia, a few other countries on their way, Côte d'Ivoire, Ghana, Kenya, Morocco. These have to varying degrees shown an appreciation of the need for sound economic policy and sound social policies and investment in human capital. There is also room for great impact. Three countries in Africa, Nigeria, South Africa and Egypt, together account for 50% of Africa's GDP. Getting these countries right will go a long way towards averting the future that we now project. So having first painted this rosy picture of the world that awaits you. Let me congratulate you once more. Let me thank all those who have come here to honor me. I thank Sowers and I wish you all the best. Thank you.


Heat 22, and away they go. And Everson has made a good start, but Smarslick's there. Now, what about this? Because Everson's going to take Smarslick wide. Is there any room for Woffenden? Yes, there is. He's coming through. And Woffenden now is in second place here. Oh, this is Heat 22. Drama in the extreme. One last bit here from Smarslick, surely. Woffenden's going to stay out of trouble. Oh, Woffenden is on the way here now, Kelvin. Yeah, unbelievable. Speedway once again. Woffenden slams the door shut. Everson doing the business of the inside, but Woffenden's got the speed in second place. Smarslick now winding it on. He wants to win the race. He wants to win the race. It's the safest place to be out in front. That's for sure. Everson riding. Oh, Woffenden threw a moment of thought. Smarslick was the world championship. He's going to do it now. No, he's going to nail it here. Ty Woffenden is half a lap away from making history. Ty Woffenden in the white helmet. The tears in her eyes. The relief nodule must be enormous for the family. Celebration time now. Smarslick congratulating the camp as well. Great sportsmanship from Smarslick. Smarslick's played a huge role in this championship chase, but Ty Woffenden, he has proved himself to be the master of the sport. He's come back in kind of about a year off last year, building and gardening. There's Mum Sue. There's Mum Sue there. But what an achievement. Three world titles in six seasons. What a night and it's done now. We're pretty much all there. All the different permutations have now come to conclusion. Initially, Everson and Smarslick were there. Woffenden was at the back here, but he comes charging up the inside, gets himself into second place. Smarslick is trapped on the outside now. Can't make a move. And incredibly misses out on the final. So just didn't quite work out. It'd been going all his way earlier on. But here in the semifinal, Woffenden produces the ride that sees him through to his third world championship. Superb effort from him. Everson riding strongly in front, but all the attention, of course, was on second place. Smarslick there for a moment. I thought he was going to wipe the new world champion out. He straightened up, just as they were about to go into the last lap. He then has a battle with Hancock, who gets the better of Smarslick. But for Ty Woffenden, what a very special moment indeed. It's been a tough second half of the series. It hasn't been at his best, but he's produced when he's absolutely needed to. The family are delighted, relieved as well. And that man, all the emotion can now start running. They've kept it all under wraps in recent weeks and nights, haven't they? Yes.


So we literally will be able to have a higher dose of that chemical inside the body by having it on our skin than if we were to ingest it, if we were to drink it. So hence the absolute importance of making sure that we are using protective equipment when we are doing cleaning jobs. And there's the usual household cleaning and then there is the really kind of deep household cleaning and then there is the addicts and the you know kind of whatever kind of people we want you to do and in those types of cleaning jobs even more so you know the entire protected gear of like suits and masks and you know face masks and eye goggles and all of those things is vital because whatever is in that environment is going to end up in your body in low asex.


Whatever you have on the right hand side is now going to be an intersection of this number. So, the operator O is expanded in the series of normal order expressions, we call it the sigma. Is this clear? For instance, let's see it at work at the quadratic order. Of course, we have x of sigma 1 times x of sigma 2. This equation will tell us that it is equal to normal order of x of sigma 1 plus x of sigma 2 plus, now, these variables get to add. Since there are only two operators on the right hand side, we can expand this explanation linear order.  And this is the same thing as what we defined before, because this is going to be minus of the sigma function. Is this clear? Expression like this and equation like this. Once you have such an equation, it's very easy to invert. Once you have such an equation, it's very easy to invert. Suppose you want to know what is normal order of all. It's simply exponential with minus alpha prime times 2. Okay, look, this gives us an inversion, telling us how this is binding definition now or not. Now, we're good. I got this sign here. If I wanted the operator itself, I wanted to, sorry, I got this sign here. You see that, right? The operator is normal order plus 2 point function. So the operator is normal order plus 2 point function. Normal order is operator minus 2. And the 2 point function has minus alpha prime. Is this clear? I have a very confused view of the signs. Okay, sorry, sorry. Okay, we said this is yes, plus 49.0. What it tells you about is a formula that allows you to expand the product to normal order of operators in terms of normal order. Okay? Let's say it's intuitive.  But if you were normal order of the whole family, you would have to subtract away also cross contractions. So intuitively what's going on? Suppose you've got the product, you've got the product to do normal order expressions.  Let's put that intuitive statement into an equation. Okay, so suppose that the normal order is normal order if, then what I need to do is to, and I want to write the sum of the chain. That's normal order. It has additional singularities coming from contractions.  Actually I have no two now. You see, minus alpha prime now is z1 minus z2. Then by del x is z1. Then by del x.  Or we have one half of first acting on second. What the problem will be then? Right, right, right, right. And then if you have one way to, then you just do two kinds of terms. First acting on the second acting on O. Because all the product that you was in the, in the two part function. Yes. Okay, come on. Okay, so that's fine. Then there, now there will be two kinds of terms in which the first one acts on O, second one acts on N. That is one kind of a term. Yes. The second is the first one acting on N. Yeah, can I say that the, that this guy acts, you know, z1 acts only on O, z2 acts only on N. Because we are, then we are done with that. Oh, let me just check this out a little bit in a case. Suppose we want x of sigma1 then x of sigma1. Okay, I want, I, this is normal order method, this is normal order. I want to expand it. The right answer is normal order method x of sigma1, x of sigma2 minus alpha prime by 2 log of z minus square sigma1 and sigma2 squared. That's the correct answer. Okay, now square one. Sorry, now let's, let's, let's use that. Suppose we use x of minus alpha prime by 2 log of sigma1 and sigma2 on square times del by del x of sigma1, but this one acts only on this guy. Times del by del x of sigma2, but this guy acts only on this guy. Okay, acting on x of sigma1, x of sigma2. Okay, so we get the right minus alpha prime by 2 log. There would be ways of writing even different factors depending on what you, if you say that this is an algebra on both, then we would require an additional half. Then we would require an algebra, therefore. Right, so fixing one dimension. Other dimension, because the first element acts only on the second operator. Second element acts only on the second operator. Then we just have this. Okay, great. This, this is the, is the boundary line that allows you to take a product of a normal operator and expand it into cities of normal. Okay. Okay, so the last 10, 15 minutes of this class, where I'm now, okay, so we finished this four, yeah, so we finished our whole discussion of normal. Okay, whenever I write down, whenever I write down a product of operators from now on in this area, I would always mean normal order. Okay, if it's confusing, please ask me. The gene type that I write down is me normal order product and often now we take use the normal order example just because it's okay. We go back to the question of what is the stress sensor? One that consistency will show is correct. It is the stress sensor. This is a sensible expression. This is a sensible expression. And, you know, okay, this is, this is our, this is our, a possible stress sensor. If we're off by a constant, that is, sometimes I have the menu, we'd see it when you do for six dimensions. If you divide things a little differently, you might be off with it. Okay, this is our definition of the stress sensor. But, stress sensor, let's try to compute the TTO. Okay, so what we want is T of z tends T of l. So that's the same thing as minus 1 by alpha prime T of, so that's x in the minuses. T here is del x of z, del x of w, where del x is z times 1 by alpha prime, del x of w, del x of w. Remember, these guys are normal order to do themselves. Okay, let me write that. These guys are normal order to do themselves. Now, what we're going to try to do is to re-expand this product of normal order to operate us in a series of operators, each of which is completely normal order. Why are we going to try to do that? You see, we have already argued that inside normal ordering, there can be no singularities. Okay, so anything that appears inside normal order, you can honestly take an example. Other singularities will appear in the process of normal order. How do we complete the singularities in the OV? It's still normal order, so it's fresh. So how do we do that? Well, the rule is choose all possible pairs and contract. So first, let's look at a contraction that we get in a vector of the contractions. This with this, this with this, or the other way around. There are two such terms. Each of us will ask for it. See, x with x was minus alpha prime by 2 log. Now we take one derivative with respect to w, one derivative with respect to z. The first derivative, if it was taking with respect to z, gives us no minus, right? The second derivative taking with respect to w also gives us no minus. Because it's 1 over x differentiated with this minus sign but we differentiate one over minus sign. With respect to minus sign. Therefore, we find that del x, so let's note down this thing as unusual. Remember, del x with z, del x with w is equal to minus alpha prime by 2, 1 over z minus w. This one. The terms in which we've got all contractions. What do we get? We get these factors. We get alpha prime by 2 with a minus sign of the whole thing squared. We have 1 over alpha prime squared. And we have 2 of them, so we've got a factor of 2.  This simplifies to half of z minus w. So the term in which everything is contracted away is half of z minus w. It's a step. It's just 2 of the x's of alpha prime. We've got a 4. Because we have 2 ways of choosing which contract here and 2 ways of choosing which of alpha prime here. So first, we have a factor of 4. We have 1 over alpha prime squared from the overall factor. We get a minus alpha prime by 2. And then del x of z, del x of w, and then minus w. Let's simplify this. This is equal to minus 2 by alpha. Del x of z, del x of w, del z minus w. We return to this term, but before doing that, we've got terms in which we have everything contracted away. That means that nothing is contracted away. It happens. Because this correlation, this is the normal ordered operator product, is genuinely analytic in insertion points of the operators. There is a thing that's completely opposite. So we've already identified all terms that give us singularities. What have we got? So let's rewrite the singularities. We've got half of z times w, the whole thing. 4 plus 2 into minus 1 by alpha prime del x of w, del x of z minus z minus w. Let's take it normal. I think that this is it. And this thing looks awfully like twice the stress answer. He might be wondering, why was the other term that has 1 over z minus w? And the point is that why are these expressions completely analytic? Of course, they do have potatoes in the expansion. So remember the one of these on the w, the other one was z. So if we expand the a to write it in the form where everything is a w, we need to take this del x of z and rewrite it as del squared x of z, del x of w plus z minus w del squared x of z. Because I'm going to examine it honestly before I take it in expansion in side note. The singular part of the e is half z minus w or plus 2 times d of w z minus w, where and then plus, you see, this, the fact, we've got a second derivative acting on one of the x's in this term. But we can select write. So we write this as plus and remove the fact of 2. Del of del x of w del x of w over z minus w minus 1. Which is half of z minus w or plus 2t of w z minus w squared plus del t w. But you're going to have a product expansion with a stress tensor. Except this standard is specifically valued at the center chart. C is equal to 1. That's for a few more manipulations of this with the free scalar at the bottom field. It's so much fun. Basically, it was so easy to create here, you can make any kind of it anymore. The next thing I'm going to try to do is try to discover some primary operators. It is completely the operator product expansion of the stress tensor of the operator. Let's do that. We have minus 1 by alpha prime del x del x del z times del x a double. Let's do the calculation. In fact, once, in fact, once we have a factor of 2 from which one of these two. So we get minus 1 by alpha prime by 2 and minus w the whole thing squared times del x and z over z minus w the whole thing squared like del x times this. In the standard form we should have operators that are only in w. So this is going to be written as del x and w minus w with h equals 1. I'm missing so many classes that I want to try. By the way, I'm going to get out. It's almost like I did one class weeks. I need to have this class. So now let's try to demonstrate that e to the power kx is a primary. e to the power kx. Now e to the power kx well, you can use a formula that actually simplifies matters in this case. Let's just do it by hand. Let's sum and let's try to state this in expansion as i k for m by m factorial times x to the power k. So this is at z. I need to go and I've got action for you. At this guy, I need to go out again. First guy has a choice of m that goes to which you want to write. And then the second guy has a choice of m minus 1 that goes up right. Then m into m minus 1 times let's put some here. Then we get i k squared times m, well, let's try that same 10 minus 1 by m factorial. And then two of these guys are moved to the next by minus 2.   So let's just get the factors, right? So we have alpha prime minus alpha prime by 4 times i k squared so that makes it plus k squared. Then we get e to the power i k as one contraction that will give us the derivative of exponential. So this is indeed the operator product expansion stress tensor in the primary field and we identify that h to the weight is equal to alpha prime by 4 k squared. What I want to do in this theory is to talk a little bit about the interspace interpolation and the state of it case of pleasure the interspace interpolation of the state. Go back to your notes and review how we introduce oscillators in the quantization of these x's. You'll find that we introduce oscillators which had funny combination relations alpha n times alpha minus n was equal to n rather than 1. You take that the expansion they have performed in w, the cylinder plane and converted an expansion in the z plane. In the cylinder plane we had something rather simple just a standard Fourier series expansion with square root alpha prime by 2 on the side. In performing the map from w to the z plane we pick up a factor of minus i and a factor of 1 over z. So the expansion that we done in class previously went back to the z plane simply becomes a volume expansion and then we get factors correct becomes the expansion del x from there will be equal to minus i square root of alpha prime by 2 sum m is equal to minus infinity to infinity alpha m by z. Then the plus one here is simply the fact that primary operators transform with the additional factor of weight. The minus i was the same as when del z had was minus i by z. This anyway is our definition of the mode of operators alpha m. So del x is an analytic operator and we get the most general authentic expansion. This completely general thing to do but we chose a factor carefully so that it agrees with these alphabets all the creation and annihilation operators that we don't know for.  That's all we do. We work to have less than m. Let's actually check directly that these combination annihilation. We use the kind of imaginations we use to derive the result of that. Remember what we want.  That's everything. That's all I've got. I'm going to get alpha n. First expression I have m of first so inside so this is z and w and the next expression I have m of first and so inside so this is w of z. 2 to the power w this is z integral. Sorry. So in the first expression I had yeah. The first expression is alpha m alpha n. So alpha n is the operator that acts first. And so now we do this. And the next expression is z integral. Okay. So we do this we choose some when we're done we do the z integral. So what we get is so we get the i let's take each of these i's and square them so we get minus 1 times 2 by alpha prime now all that remains is the 2 pi i's. So integral d w by 2 pi i times the residue in z of the pole z to the power m del x w to the power m del x. Okay. So this will be so what we get is z to the power m w to the power n and then 1 over now we have del x del x which is minus alpha prime by 2 so that can serve as alpha prime by 2 so we get yeah. So we have d w by 2 pi i and then z to the m w to the n over z minus w in the whole thing square that's what we had but we want the residue of the pole in it since we've got the square down here we want to expand this once. So whatever we have d w by 2 pi i and then m times w to the power n plus m to the power minus 1 which is equal to n times del down to the power n plus k alpha m alpha n del down m plus n to the power n which was a combination of relations if you remember we used we're doing a context session it's always by the way a safe thing once you write down your relations just in z-coordinates you can directly check the combination of issues you might have made a fact or mistake but easily tell you it's much easier than tracing through all the conventions that go from translating from one picture to the other great. So we've we've got this nice expression we've got this nice formula now we've got a more expansion of x in terms of these oscillators that are based on standard computation relations okay now the next thing I want to try to understand is the state operator map the next thing I want to try to understand is the state operator map and our industry you remember we have this nice general theory which tells us for every operator insertion that's a corresponding state in my subversa what I want to do is to discover what I want to discover and lose to discover what the operator knew to any state is or what the state knew to any operator is completely the spectrum of states was what was the spectrum of states was firstly you had some very functions of 0 you had a very function for 0 in addition to that in addition to that you had in addition to that you have a little bit exhaustive the most general state was alpha minus 1 to the power m1 alpha minus 2 to the power m2 alpha minus n to the power mn acting on vacuum all the way acting on vacuum times that way function for times e to the power i kx0 and this is the basis then of course you can any of your combinations x0 to the 0 quantization in the system that we have arbitrary very functions of 0 so when you have these states you need a new operator let's try to discover the new operator this discovery in several ways today we only have time for one this first way is by experimentation so the first question we are going to ask is what is the dual of the identity in other words should be the vacuum state in other words should be the vacuum state but let's try to understand this in a way that is but it's so nice okay and then the generalize to do all this okay if the duality of the identity of the operator was the vacuum state then what was in particular visual it should be annihilated by every annihilation by every annihilation so of course we take identity the question we are going to ask is what is alpha m for all n positive whether I identify as a vacuum state apart from the process we need to find x how do I what is alpha m for all n identity but apart from irrelevant constants that is simply z to the power m del del x maybe that's nothing okay z to the power del x but we know that by the equation of motion del x is an identity conflict z to the power n is analytic as long as n is critical say no therefore this quantity is completely analytic this quantity is singularity in this contour but since it's added to every identity you can see the identity operator is the is the vector we will come back to the zero mode portion up to zero mode so please check that the identity operator is the vector what about a nice primary operator that we have nx in fact what about the operator that is k of x k there k there k there whatever that let's try this in trick let's try to check what we get when we take z to the power m del x so this operator whatever it is let's calculate alpha m acting on del k so all you have to do is to take this operator surrounded and then put del k of x at zero and see where we get yeah and we do constants because all of that I want to see is when it's zero or you know what we can work it out with constants okay but what we get here z to the power over z z to the power k plus one k plus two k plus two so k plus now k plus one okay now this thing is non-zero only if m minus k is zero because now we need to come to the table and we need to come let's use the pole this is the pole of n minus k is zero let's some constant times delta of n minus mk because x with x is a log okay so what we find that every annihilation operator except the k to the power annihilates the state what the k is state gives you a state proportional identity therefore this state must be proportional to alpha minus k see all these states that has this property annihilated by order annihilation operators except the k to the state k to the power and the action of the k annihilation operator gives you identity for that okay proceeding in this manner okay we really must stop now about one hour over time so for proceeding in this manner I'm going to ask you to check before me I'm going to ask you to check that delta k x to the power mk product of the k is due to the operator alpha minus k by k product of the k that makes an s field see if you can argue that so we found the due the operator the state cost fund for all the states except for the zero part what are the zero part if you want to add the zero part what you should be doing is put the operating part of k that is zero remember each of the i k's was nice primary operation because this is the full state operator in this area okay I'd like you guys to check this in any way that has much detail as you can before we meet next time okay that it completes at least one way of thinking of the state operator in this area now the second one of these things one can do with the three books you know something that people do a lot that you never might be able to use for is to write down the birasoro generators in terms of the three books on oscillators and then do a lot of manipulations using oscillator algebra somehow I don't find that very useful but it's a game that you play perhaps it's sometimes useful okay the first thing that's more useful than my opinion for you to try is to try some direct technical computations in this area okay so I'm going to suggest one more exercise for you again the way this starts to be viewed the next class just directing my awesome technical analysis compute the awesome technical with del k of x inserted at the origin okay and show that it is a way far for k of oscillators once you've done all these exercises you'll know enough about the three books I'm hearing for my purposes this concludes our discussion this essentially concludes apart from discussing the exercises we talked about this essentially concludes our discussion of the three books on performance theory in the next class I will describe some slightly more complicated performance theories okay we'll talk about some slightly more complicated performance theories and in the class the next class will go to Wednesday in the class after that which I hope will be a next Friday we'll then go back to taking all that we've learned about performance theory and applying it to our study of performance theory so our long interview into the study of performance theory will be finished we're also finished by one at the end of the next class we will cover every bit of every bit of the material chapter two of the specialty so if you will be like reading for you chapter two now everything except the part next class I also suggest set of exercise problems in the back which is


How's it going everybody dato doi here and we're back with the og kame style team we got krillin we got base goku We got yamcha we can we have some cheap stuff with yamcha and goku by the way, but you know Let's see if we can pull this off. I didn't see who we were going up against. I saw cell. I saw bar doc Oh, yeah base Vegeta All right, so this is looking like a pretty strong team all things considered and we're already down in the city Instantly instantly tense stuff there all right first game of the day come on. I'm gonna let me warm up Is this is what we're doing live This is what we're doing all right super saying oh never mind We're gonna have to deal with an oaky situation This might be one of those times where you just have to let it rock early dude. Yep. It's one of those times Probably a little defense here in there All right, all right Come on you want a dragon brush. Let's go All right, so I'm gonna have to start taking those it's it's it's tech time And you know what we are gonna we are gonna push this situation that we have Let's try to either get his thing or Oh, that was risky by me Thought I'd go for it just for a little bit of the irony, but we are we are looking pretty dead right now Level one level one I can respect it we still got base Goku and Yamcha though It's all good if we can get some spirit bomb stuff Oh, I should have reflected again I thought he might go for uh something else That's fine. Keep me down in the corner. Oh wow. He really is gonna keep me down in the corner here All right, let's see what he goes with new age bar lock stuff or he's gonna keep with the old He's gonna go new age We in there All right, and just to heal up because that's going to be important All right. He teched out. Oh Oh, come on. I'm not taking these. No That's bad, dude All right, it's something I got to practice kicking into lag booster Level one he's gonna swap out just to recover some blue health. I actually do agree This is the rough first crowd That was me, uh, trying to What was I trying to do there? I think I was trying to vanish All right, brush off the rust. Let's get this thing started All right, if I could tech down All right, come back time You guys thought I was actually being for real this entire time Drake Swift I'm going up against drake bell right now That is not the button you want to click by the way behind the back classic maneuver You're gonna see that, uh A lot with Yamcha Hopefully this kills Yeah, it was a Goodbye world. Okay I'm just surprised we didn't get punished for that heavily Nice delayed a little bit get a little offense going All right base vegeta. Let's see. What's he gonna do here? What's the strat? Okay, land a hit on base vegeta. Just got to play it a little slower than I would like to Save some meter for defense Level three in the corner just for the hard knockdown. He does have some options here Either wake up level three or sparking glass both things. I'm a little afraid of I'm the back. That's fine. Oh, no. I thought it was my turn. Oh, this is dead. This is dead. This is dead. All right All right. Well, we got some we got some knowledge for next game So we're gonna take our loss with a little bit of pride. We're gonna go down here Uh, but that's no big deal.  All right. We can put it lightly and say that it went rough. All right after a short break We are back. I guess he was composing himself Whoa My turn. I can't believe that beam didn't hit dude. I can't believe that beam didn't hit Also, now he's just going for dragon rush in weird places like to be honest I'll take getting hit by dragon rush there Uh, there we go By the way, the reason I didn't go for Krillin time there is because Uh, I'm usually more comfortable with Goku and and if I'm not it has to be Yamcha, but Yamcha is dead Oh, that's uh, that's a real shame There we go. That's what we want to see now. We can get selling and now we can play our game I'm gonna go for the grab here Gonna speak to Vegeta Okay, uh, that was a mistake by me this guy, uh doesn't Okay, full combo here This is uh looking like death here One base Vegeta serving him up All right, good So we have Vegeta down cell is sitting pretty ugly right now with a low low amount of health Five l l with Goku is still rough for me. I'm still getting used to that Okay, we'll eat some damage here. We're gonna take a level three as well Uh, it's not worth popping spark in here Uh, in my opinion because I don't know I'd rather just save it for later Okay, that's fine We're free Okay, we need to stop throwing out beams That was interesting Take that Oh, no, all right, you know what a fine Krillin you want to leave? online resets Property of Yamcha.  Now it might be worth popping sparking because Yamcha is important Ah, yeah, that was pretty obvious too Okay, if I could just oh wow, I could attack there But I I literally let go of the button just as that was happening Check that One two three four five. Damn it. Damn it. I messed that up. I should have just went for something normal Oh, dude, tell me I didn't just lose because I went for something stylish That didn't work out exactly how I would like it to but that's fine freedom Nice, okay, so this is looking like a pretty dead bar dock right now one two three I'll spend three bars just to keep the other guys out of the fight for a little bit And he saved sparking for too long in this situation. So oh wow. No Okay, who could have gone way worse Oh man, dude Back dash That's what I was waiting for but I waited too long Nice. All right, we take the win a little too close for comfort though I think if Krillin would have died I might have just cracked I'd let him take the win. Let him steamroll me Uh, yeah, we take the more grabs that game. So obviously this is this is actually the opponent I've been looking for to improve this stuff, dude Somebody that's just going to do it to me Uh, regardless All right, that's kind of what I was looking for but Ooh, didn't get the important uh Ooh, yeah bad bad stuff.  He's actually super dead Got him Toss him aside Nice, so we're looking pretty healthy right now. Our team is looking super good Ooh falling down heavy. If I would have seen that coming. I could have I could have down heavy that myself. Well, he didn't Falling I got myself confused there big damage Supply the sensei though. I'm looking real good Ah Still those empty ones that I'm struggling with apparently That's fine. We'll get over that. Oh help me help me help a boy out. All right. Well, it looks like we just got this tied up level one level three Number one level one. It is enough. Ooh I was hoping that it wouldn't be Okay got caught Janice stuff. He's not gonna get three bars if he is that would have been a problem. All right. We free All right, we're back to not being free.  Oh the knee crush. I think I crossed myself up there Hmm. All right, let's get Vegeta back in here. That's uh, that's the beauty of doing this Can we see that Vegeta? Ah, come on man. Come on. I gotta be quicker than that Beautiful beautiful exactly what I was hoping to say One two.  Finally saw saw that one coming with all my heart A little bit of behind the back a little bit of back and forth Superdash, we're at that though. Mmm. I don't think so even with my short stubby arms I can punish that let's go All right next up the final game the confidence in my voice. You gotta believe it is The final final game Oh, and we're in we're locked in It's gonna be a do or die. No superdash at start thought it was gonna happen Saw that one coming a mile away. You're gonna have to do better than that. Oh messed up Not used to having Goku on this team with no beam Saw it again. We're finally improving This is what we needed The growing pains are gonna be hard, but we gotta get through it We gotta get through you gotta push through Give him a little bit of his own medicine as well. Just show him that you're not gonna take it lying down Krillin pop up two bars Save an extra I already know what he's gonna do do it Okay I'm getting a little too turnt over the green splits here Ah, I was just gonna get that was a guess that went awry All right, but we're forcing him to partake in other avenues. See that's that's good level three Hard knock down. He's trying to force a spark in here. I'm gonna stay strong. I'm not gonna panic Oh Just Josh and you guys Saw that one coming a mile away. Oh my goodness. I can't believe I messed that up again Backdash on that Don't ever think about it. I got super dash out the wazoo Misread misread misread thought he was gonna every time we've done that exact scenario. He's always gone for the Uh the spear Dragon rush We do in fact have those And I think it's time to show you a little trick. Let's go count it one two three four five Wrong guy wrong guy wrong guy wrong guy wrong guy. That was supposed to be goku Got he got he Just that awkward that awkward stare tough Only online ranked matches fellas get it while it's hot Get it while it's hot dude. Oh, no Oh, wow, just cracked me open like an egg Oh finally punished a super death level three freedom Mm Chalking it out. Let's go dragon. Okay nice Give me the old uh misdirection dude. All right, I'll take the level three. I was thinking hella hard there Oh, very nice stuff, dude. I would like to live if at all possible. Oof Okay, not possible I respect it. I respect it One two three This is for all the good people of earth. So I'll see you later. Goodbye There goes my hero. Well, I guess I'm gonna call it. That was a great session I did it. Yes. That's the perfect way to sum it up. I did it. I finally overcame The nightmare the tech nightmare. I'm so grateful. Thank you so much to uh I forgot the name Um drake swift dude, you were exactly who I needed to run into online You finally put me through my paces and I feel like I've gotten just a bit better today Uh, so thank you so much for watching Let me know your favorite moment from this rank session If you have one down below in the comments while you're down there If you like these videos and want to see more make sure to hit the like button and subscribe I'm dr. Doa. I'll see you in the next video


Hi, it's Bridget and welcome to Sunday Morning Coffee with Bridget. It's my pleasure to be able to connect with you through this unique podcast format. I hope you enjoyed the topic today is actually called Disruption, Disruption. I'm often inspired by the things that come through in my day-to-day life, in my conversations with my loved ones and family and also with you in my private intuitive sessions. So thank you for the inspiration and the opportunities to continue to grow and expand and most importantly to receive because that's kind of the point y'all is to receive. Alright, so Disruption, let's talk about that Disruption, what does that mean? Ooh, I feel a journal prompt opportunity come on. If you haven't as of yet purchased a journal, get one. There will be links below to some of my favorites. You know that I adore the Peter Popper Press, not sponsored yet. And currently I'm using my cherry blossom journal for the spring of 2022. So Disruption, what does that mean for you? When you hear the word Disrupt, Disruption, Disruption, right away for me I go back to the classroom to think about education, not only as a student but also as someone who has worked in education. You may or may not know this about me but I danced around the idea of becoming a teacher a few years ago, about five years ago, trying to pursue a potential dream that I had, an unanswered question about whether or not I should and would enjoy being a teacher. And it was focused primarily on early childhood education, particularly early childhood special education. So the concept of disruption brings me to a classroom setting where I myself having four children have had children who have been the disruption of the group, the disruption of whatever the setting is that you're in like such here with education. Being the disruption, this is a potential label, a feeling of being targeted, a feeling of being not worthy, not enough, a feeling of being called out, a feeling of amplification of the misfit I don't fit in, I'm different than others and not in good ways. The concept of disruption through this educational example that I'm giving you made me want to as a parent when I had a child early on many years ago now that was entered into some special education programs because of the behavioral aspects or components of life and how they were challenging for the child in particular and with the resistance pieces within their makeup as a human, right? Which we all have, but working with that navigating that, the energy of disruption that that behavioral component of it is a place to be put in where you can see the contrast of what the expectations are, the standards, the performance, requirements of humanity society to fit into this particular model, which the example I'm using again, education and thinking like elementary school, okay? In classroom there can be lots of disruption. There can be lots of challenging noises, auditory influences, visual stimulation and cues and also other children, other competing needs while at the same time a facilitator or a leader, a teacher trying to manage the group sometimes with helpers, teacher assistance, special assistance, et cetera, creates an environment where there are many things happening at once, lots of things occurring at once and for someone who is very in tune to energetic flow of things would be over sensory and acutely aware of all of the things coming at them at once. Kind of like driving down a dark road in the middle of nowhere at night and with the windshield getting splattered by bugs like that, making it difficult to see and very uncomfortable to hear. The disruption, however, when it is identified as an individual, a person who is a problem creates a whole host of energy around this concept or topic. When the truth is for that particular person, it's all about the perspective of disruption. The disruption may very well have been all of these piling up things that have created the sensory system of that particular human to be overloaded to the point of needing to request in a sense of urgency, whether by behavior without words or with loudness, I need help, but it doesn't come out that way. When there is a disruption, it comes out as an intensity of either disconnecting, going within refusal, the perception of refusal to participate or engage or work because they are just so overloaded that they have to shut down or the extreme fight mechanism of, get me out of here now and the best way to do that is to run to the door or to throw your books or to do whatever you have to do to get yourself out of your body and that situation. Thus creating a disruption, a rippling effect to all the other students, all the other human beings that are in their bodies at that particular moment in time, also then feeling the disruption of the ripple of that one sweet soul who could not take the stimulation any longer or the expectation of humanity in that particular environment. Am I being dramatic? Yes. Is this to prove a point? Yes. Disruption and a setting created for learning. This scenario is exactly the way life is for you and for me, but we have learned ways to manage to cope. Some of those ways we manage and cope are completely unhealthy for us. Whether it's created the people pleasing ability to read others and then adjust our personal needs, hide them, shove them down, swallow our feelings in order to be able to adapt to get the approval through pleasing others. A temporary sense of contentment that we might feel because of the comfort of those around us or the approval of those around us, a momentary feeling, good boost of energy quickly turns into a questioning of why that feeling doesn't last or why I still feel icky or bad or not quite enough. And then we look outwards and see not only judgment, but potentially competition comparison in ways that we don't need to stories created by our mind to help keep us in tow in line and functioning as a highly productive member of society, which is required then to have approval of others. And so we would naturally seek that out because that is what is rewarded in the systems that we're in and the relationships that we're in as well. Not just formalized structures of school or work, but in our families, in our community, in our personal social groups. Now, this is not bad. That's not the intent of this dramatic description. It's just intended to really push forward for you this awareness of how as a human being, the scenario of this classroom plays out because we are in a classroom. We are all humans. We have bodies. We have brains. Guess what? We also have hearts and spirits. And your spirit is connected to your heart and they are allies. They are powerful partners. They are the dynamic duo of heart and soul and the dynamic duo of heart and soul. Guess what? Intuition and feelings. Oh, yes. I am telling you this now if you don't know it yet, are closely tied working together. They are on each other's sides. They are the ride or die.  But you have these things that show up as coping mechanisms to help support your heart and your soul to be able to function in a human format through your body and your mind. And now, hello, News Flash. The body is highly intuitive if you haven't figured that out already, which is why there's a lot of teaching about disease and body awareness and recognition of body consciousness in the conversations that you see on social media of body shaming, body dysmorphia, body positivity. This is about the body, not just the physical body, but the embodiment of the soul working through the body now because the soul is not that effective with the mind, the brain. It really does argue with the brain. It's a constant tug of war. And the soul is not trying to argue with the brain. It's trying to support the brain, love the brain, but the brain has a mission to keep you alive at all costs, which create other types of coping mechanisms to tamp down the emotions which are closely connected and trying to flow and move and clear energy with your spirit. And so the mind would make emotions quickly categorized into good or bad. And the way in which you would cope with trying to hold back the bad would be to develop characteristics, traits, and behaviors to vices, to balance, where you feel like you have a lack or incapacity. You are not capable. You are not competent to handle yourself. And what is handling yourself, the emotions that you feel? Emotions are so powerful and so incredibly filled with information about us and how we are responding and reacting to the environment and to the unseen. We've got to acknowledge this incredible feature of our life that brings us so much information. Truly, yes, I know, sometimes on overload because the mind can only process things so quickly, but it's a good thing the body can process things very, very well. It detoxes. It gets you sick. It gives you headaches to recognize stress. It gives you stomach aches when you're nervous or anxious, whether it's a good anxious or a bad anxious. It gives you so much information. It is really in close alignment now. At this time, we are at in our lives in close alignment now with the spirit. Your spirit and your body are so developing a very intimate relationship. And I know this because I have been on this journey myself. And I feel it myself. As a psychic, I've been a psychic for 18 years, for God's sakes. This body oracle, this body psychic, intuitive piece has come up so strongly for me in the last year that I know, I know this is a thing. This is the next level of your spiritual advancement. This is the next level of your healing. This is the next level of your personal development as a human. You wanna be happier? Bring that body in. Let it be part of the conversation and not the bad guy or the one sitting out. So the information you're getting in your body can create dis-ease over time. It can create physical illness so that you are forced into a status of self-love, of self-care, of extreme self-care. Do not go into the extreme home makeover version of self-care by having to deal with a body ailment or an injury just so you can get some rest just so you can slow down the overstimulation that you're getting from whatever relationship or environment or expectation overload that you're in. And guess what? It's not just about what's happening today. It's about what's happened in the past that's reminding you what is happening today is reminding you of what happened in the past. Do not go back there. Do not stop going back. The responses you have, the vices you've created, the behavior patterns you have, whether it be biting your fingernails, whether it be avoiding something, whether it be caffeinating yourself, I am so good at that. Let me just raise my hand, which we all know I have enough energy. I don't need three cups of coffee in a day. But what, what, do I do that? Oh, yes. And now we've been adding sugar to that. Yes, we have. Yes, yes, we have. Because that is a feel-good coping mechanism for me. And I recognize it and I understand it. But there are far worse things that we can develop in order to be a buffer, which creates a additional resistance to actually addressing the information that's coming through and course-correcting before it gets to be a bigger problem. We numb it. We numb it. And numbing your body only goes so far because you need that body. You need it. You truly need it now. So the disruptions that are occurring while they clearly could be blamed on our emotions or clearly understood by psychoanalyzing our thoughts and our emotions and getting lost in the psychology conversation we can have about thoughts and feelings and who influences what, what comes first, the chicken or the egg and new technologies to adapt or address stress like things like acupuncture, which isn't new technology, okay, I get that. But acupuncture or EFT tapping or different other unique like rapid eye movement therapies or whatever that light therapy or whatever it might look like for you. It could be old school like sweat lodge stuff or something different that I'm not aware of at this point. But what it's getting at is the ability to flow with the energy that's showing up so that there isn't this stop, go, stop, go. The disruption comes in, the interruption of a flow, that's what disruption is. And the disruption shows up by the way that we choose to not just interpret the information but to express or keep it away. The disruption happens when we try to stop a natural flow from happening. When we try to stop the flow of energy and we misunderstand it, we feel overwhelmed by it instead of recognize that it's picking up a momentum because we gotta address it. Addressing energy doesn't mean stopping it. It means stepping in and using your power to align with what works and fits for you. What range of that spectrum fits for you? Which line, which notes of the song are you gonna sing because there's harmonization that can occur here? Find that and that is your way. Disruption isn't bad. Sometimes it does create a halting energy that will stop us in our tracks because it's going to prevent us from something that could be very traumatic or hurtful to us or others. So disruption is not a bad thing and it could be an event, an action, a triggering thing which is what it feels like to me, a triggering event. But the truth of the matter is it has been bubbling up all along and it could be literally the straw that broke the camel's back is what results in a disruption. Whether it be energetic or something very real and tangible like the student in a classroom that is overwhelmed and cannot handle the sensory inputs. Either way, it's information. Either way, we have not been allowing ourselves to find the ray of that spectrum of energy flow that works for us. We cannot expect the energy to itself change but our job is to harmonize it. So to work with disruption is to soften the resistance by harmonizing our energy and finding ways that work for us like less caffeine perhaps. Otherwise you will end up in a cycle or pattern of addictive behaviors of things that will create a numbing or avoidance to support what is perceived as the release of or getting out of what is uncomfortable, the discomfort because the disruption is really what is showing you the discomfort. It is the place of the point where the tolerance level was reached and it doesn't have to be like that. We do not have to move through the world with trying to manage ourselves so close to the edge where we are in any given moment, we can just jump over. The concept of disruption will serve us. Yes, it will, but it is just a tool like any other piece of information energetically that comes in and it is how you relate and how you will perceive this piece of information. It could be a crossroads, it could be a fork in the road, it could be a question, an opportunity to pause and to breathe into what are my options here? What do I want? It is a question to give you a pause so that you can course correct into the alignment that is most beneficial for you. It's not an escape, it's not for you planning your escape. It is for adjusting to work with the energy at the way that is most beneficial and alignment with you. And to do that, you've got to give yourself a pause to harmonize, to really connect in with yourself and make different choices. It's as simple as that, my friends. So this is Bridget, thank you so much for hanging in there and having this kind of deep conversation about disruption. Make sure you take some opportunity to write in your journal any of the segments of what I have explained to you today or chatted with you about today about disruption that may have come up or offshoots of this conversation that you need to dig in more. Write them down in your journal and then take the time the next few days to go through the topics that are impacted by this for you or triggered, you are triggered by. It might be a memory. Write it down and let it go. Give yourself permission to be open to the energy of the flow here and what is showing up for you is exactly right.   So this is Bridget, I hope I've inspired your spirit today and filled you with some hope, encourage you as always with all the work that I share here on Above Life channel on YouTube or Bridget inspired on Instagram or fairy grasshopper on YouTube. I hope I've inspired your spirit filled you with hope and encouraged you today to live your life. It's your life after all and you get to live it. So just live it. Thanks for listening.


Hey there friends, thanks for checking in today. We're looking at an armed robbery It looks like it took place at a restaurant where two guys entered one was armed with a rifle We can't tell what kind of rifle but it did have a scope on it The other person looked to be unarmed the rifleman went straight behind the counter and Started demanding the cash from the cash drawers and was telling the employee to open the safe Meanwhile the other person went to the four patrons at the place He had them stand against the wall and then he went behind the counter to rob the place Now they kept saying open the safe the young employee who cooperated with the cash drawers said he did not have the Com to the safe. They took everything from the cash drawers. They flipped over the trays Went back to the four people asked for their belongings by this point They already put their belongings on the table. They scooped those Bloggings up whatever they were most likely Cash from all it whatever and then they went to exit at that point one of the patrons was armed he Had to charge his slide. He did not have a round of the chamber. So dangerous When seconds matter you want to give yourself every advantage possible and having to take that additional time to charge a Round it could be actually deadly But in this case it wasn't deadly But he charged around and fired when I counted to be eight shots at these people as they were fleeing I don't know if either of these guys were hit But the one thing that really caught me was how he waited and waited and He waited till their backs were turned and fleeing which is very dangerous So the question I have for you was this a defensive Shooting that was justified or was it reckless? The armed citizen did a few things that were very wrong first off He had to charge around and I thought that was just amateur night You know, I I always said you have to carry with a round in the chamber if you want to be as effective as possible With your firearm Secondly, he waited he waited way too long at that point their lives were not in danger They were in no danger of great bodily harm the robbers were leaving So he's gonna have to justify why he used his firearm when they were not in danger and and then thirdly He took eight shots and then he blew out the window Which I believe cost more than any money that was in the cash drawer to begin with so it is my opinion Especially because this was all captured on video that this guy has a lot of questions to answer and I believe that a jury of his peers will find him guilty of Of being reckless with his firearm and to top it off to fire recklessly through the window out into the public where a Law-abiding citizen could have gotten injured if that happened this guy's going to jail possibly even prison But he is definitely in my opinion gonna face some charges Especially because there is a video recording all of this and it will most likely be used against The armed citizen so in my opinion it was reckless It was careless once people's backs are turned as upset as you are That they stole your property and the property of the restaurant You cannot fire once the threat has been eliminated either by you as the armed citizen Or by a choice of their own by exiting that establishment. Those are my thoughts I want to know what your thoughts are if you like videos like this, please subscribe and share I always appreciate thumbs up button. Thanks for watching and you guys be safe


What's up guys, welcome to a new video. So in this one then, I'm gonna take you through the eight main things I've learned from being a dropshipper now for three and a half years. It was actually June 2016 in which I started and then I got my very first order on the 24th. So I was on a call then with a friend of mine last week, I'm helping him set up a store and he said what would be valuable for a video idea is to take people through the kind of things that they might not expect is involved with dropshipping. The sort of things you don't really hear people talking about. You'll hear people talking about Facebook strategies all day, products, et cetera, but you don't really hear many people talking about things actually going to run in a business. And trust me, when I first started, there were so many things I didn't really expect, so many mistakes I made. So hopefully by the end of this video then, you'll be more knowledgeable about what you have to do, the kind of things to expect so you'll be better prepared. Before we jump into the points then, just a very quick recap in case you are new to the channel. This was the very first store that I created, built, designed, added products to, ran Facebook as to, essentially, I did absolutely everything myself because I was on a shoestring budget. I decided to do everything. Things were very slow in the beginning and to be honest, it probably benefited me in the long run. So it was cool to shop Omnia anyway then. Omnia is Latin for everything, so hence shop everything, i.e. it was a general store. And as I've already mentioned then, I started in June 2016 and this turquoise bracelet then that you can see down in the top product section was the very first product I tested that I was actually able to make a sale with. There were five or six products before this that just completely tanked, didn't make a single sale. And just to prove that in fact, if we go all the way back to January 2016 and include June again, you can see that absolutely nothing in between. So this was the very first product in which I found some success with. Just to show you the next few months then so you can see how they went for me. July 2016 was nothing special, 360 pounds. I think if I remember rightly, I was pretty much just running one, I'd set out time on like five, maybe 10 pounds per day. Like I said, I was pretty tight on money when I first started. So the idea was to take things slowly and try and be profitable from day one so I didn't run out of money. I think that's one of the biggest mistakes I see beginners making is they try and go too big too quickly. They lose a ton of money, they get really disheartened and then they want to give up. Whereas if you start slowly and try and be profitable as much as possible from day one, then you're gonna be able to stay in business for longer. Anyway, 1200 pounds for August, September was a bit better, I believe of three and a half grand, again, not too bad. And then October was actually when things just started to go crazy for me in which I think, yeah, nearly 20K. So I think I hit my first four figure day as well. I did under 20 seconds. So as you can see, at that point, I was pretty happy with what was going on. And then I believe it was actually in December in which I left my job. What you'll notice as well is if you take a look at this top product section you'll see that it's the same product. So this was all with one potential product. Trust me, if you find that one product that does really well, it really can change your life. As corny as it sounds, it really can. And just to give you an idea then of how many orders I made for this store, obviously I'll block out the customer names, but you can see nearly 6000 orders. And if I just scroll down, just as bit of proof really, there's just pages and pages of different orders. So yeah, this was my first store then. If you wanna, in fact, if you wanna check out the link, the store is actually still live. So you can head over, see what kind of products I was selling. You can see the product page of my best selling product, which is here. And what this section is here that, where it says this Facebook comment is no longer available, it's because the page on Facebook has been unpublished. But basically what it was was people, when they bought a product and it arrived and they really liked it, rather than come on my store and leave reviews, more often than not, they would leave a comment on the post with an image or something. So what you can actually do with custom coding is embed those comments. And in terms of social proof, there's nothing better because obviously it's really legit. And people can see the comment, they can click on it, which will take them to the ad. They can see it's a real person that has bought the products that has left a genuine review. And in terms of social proof, then there's just no better than that. So that was my first store then. If you enjoyed the first half of the video before jumping to the points, please do hit that like button. And I do upload four to five videos a week as well. So if you haven't subscribed to my YouTube channel yet, please make sure you do. And with that being said, then let's actually get into the content of this video and move into the points. So point number one then is put yourself in buyer's shoes. What I mean by this then is that especially in the beginning, if you've never advertised a product or had any success within a certain niche with any kind of products, then it's gonna be really difficult to do, to judge whether somebody will actually buy a product or not. Even to this day, there's products in which I will see is almost like a guaranteed win and I'll spend 500 pound, maybe more advertising a product, trying to hang on to that one product because I believe it to be a winner in the case that it's just not. And it's just a waste of money. And vice versa too. There's products that I've tested for the sake of it because I've come across it and I've never seen it before. So I've tested it just for the sake of it, thinking not really knowing what's gonna happen and then it's done really well. So to kind of summarize this point up then is never make any assumptions until you actually test an audience or test a product or test an ad creative, then you'll never truly know whether it's gonna be a success or not. And this kind of leads me on to point number two. In fact, if I just get rid of the highlight, which is be emotionless. There's so, I've probably wasted thousands of pounds because I've been too emotionally invested in a certain product. You've probably seen it all the time. If you watch Dragon's Den, if you're in the UK or if you're in the US, the equivalent is Shark Tank, there'll be people that go on there and they've remortgaged their houses, they've spent their pensions on this product which at the end of the day just gets completely shot down by the investors. And it's because they become emotionally attached, emotionally invested to kind of translate this into drop shipping terms. The amount of times where I've ran ad sets and then increase the budget and I thought, I'll just run it for an extra day or just run it for an extra two days or an extra three days, hoping that it's gonna turn profitable when it just never does. So the best thing to do in this case is just completely cut your losses, move on to the next audience, move on to the next product and just take the hit but make sure that when you do, that you know why it's lost, why you've lost that money because the worst thing you can do is make a mistake and then not learn from it. Moving on to point number three then, if I just remove this highlight, is take immediate action. So don't wait for all the answers. I speak to probably 20 people a day on across all social platforms and one of the biggest reasons I see people not achieving what they want to achieve is because they just don't take immediate action. They try and prepare and find out all the answers before they just start. When in reality, when it comes to running a business, there's certain things that you'll just never be able to prepare for and the only way out to deal with them is just cross that bridge when you come, when it comes to crossing it essentially. Problems are gonna spring up all the time.   To give you an example then, when I was dropshipping those colors from Aliexpress, all the orders went through one particular supplier and there'd be anywhere from kind of like 100 to 150 orders per day and then all of a sudden the store just completely disappears from Aliexpress. At this point, I had the supplier on WeChat. We used to talk daily about order fulfillment, any problems, et cetera. And I basically just sent them a message saying like what the hell is going on? We've got like 300 orders that are essentially just canceled now.  And they said they were setting up a new store and it was gonna take a week before they got it ready, before they got product listings and essentially could start sending my orders again.  So you may as well just start today, face your problems sooner rather than later because in the long run, it's gonna make you more resilient mentally. It's gonna make you more experienced and it's better to do something now rather than be a year down the line and then regret that you didn't do it sooner. Just to give you another example of where this applies.  And at points in the beginning, because I was inexperienced, I used to procrastinate on replying to those customers because I would always dread what their replies would be. And sometimes I would bury my head in the sand to be honest when that's just the worst thing you can do at some time.  And trust me, becoming somebody who can take immediate action, whether it's for the positive or the negative, it's gonna, number one, it's gonna make you better at making decisions. So later down the road, when you have an even bigger decision to make, you're gonna be more prepared for it. And in general, it's just gonna make you a more efficient and a better business person. Moving on to point number four then, which is cash flow is king. So in the beginning then, it's probably something that never even comes into mind but trust me, it's something that you're gonna have to be prepared for and something you're gonna have to get good at. So for example, then that month in October, which I showed you, which I went from three and a half K to 20 K almost, pretty much like within a space for a week. All of a sudden I had thousands of pounds worth of orders to fulfill and no money to do it. And that was actually when I got my first ever credit card because that's pretty much the only option I had was to get a credit card so I could afford to pay for those orders. Another reason why cash flow was so important is because if you don't do it correctly, then you're gonna end up letting your customers down. And trust me, as a small business, your reputation and your customer service is everything. If you provide a poor service, especially to a significant amount of people on Facebook, in today's age, anybody can go on any of your social media platforms and comment on every single post saying that you're a scam and you've provided bad service and that is bad for business. Trust me, somebody coming in onto the page of a small business they've never heard of before, they're going to be skeptical as it is.  So trust me, providing a good customer service is key to the longevity of your business. Moving on to point number five then, which is outsourced tasks that aren't skillful. So this was something that I struggled with in the beginning because I found it difficult, especially hiring people online to actually trust that they would do a good job. But when you do and you have somebody that can take a job off your hands and save you two to three hours a day so you can focus on the more important things, then it is a complete game changer. This is one of the most important things you can do in your business. Perhaps not in the beginning, I recommend everybody run their own business till they get to the point where they don't have the time to do so. The better understanding you have of order fulfillment product selection, advertising, then the better. So in the beginning, do everything yourself. But trust me, when you get to the point where you're struggling for time, as soon as you start outsourcing the tasks that aren't skillful. So for example, then one of the first tasks you should be outsourcing is the order fulfillment. It's not a very skillful job, pretty much anybody can do it. And it's quite a time consuming job too. You're looking at about 40 orders per hour. So if you're getting 120 orders per day, then that's three hours per day of your time that is spent just maintaining your business. Whereas if you bring somebody in to actually take over that job, it's gonna three up three hours that you can then dedicate to actually growing your business. And trust me, it's one of the most important things you can do. But it's a necessary thing, especially if you wanna grow your business to decent numbers. Once you hit about 100K in a 12 month period, that's a significant amount of time you're gonna be spending on just doing order fulfillment, especially if you're working in nine to five alongside that, you're really gonna struggle. So the more you can outsource like order fulfillment, like customer service, the more time you're gonna have to dedicate to actually growing your business. Moving on to point number six then, which is relationships are key. And this includes supplies and customers. So for example, then there's a Chinese holiday coming up early next year. One of the things I do is every Chinese holiday is I will contact everybody I know within a certain supplier. So there's usually probably one, maybe two guys that I'll speak to or women. And I'll always send them a message on WeChat just saying happy holidays, have a nice week off and look forward to speaking to you next week or just something along those lines to build those bridges, build that relationship. Because when they come back after a week off and they've got 10,000 orders to fulfill and a thousand of those are yours, then which ones are they most likely to process first? It's going to be the people that they actually like the most. It just makes sense.  Think about all the different bosses you've had. Think about the ones that you didn't like. You probably didn't do your best work for them because you didn't like them. Whereas the bosses that actually are friendly with you and you see more as a friend rather than a boss, they're the people that you're going to do your best work for because it's just natural. It's just human instinctual thinking to be like that if that makes sense. It applies to customers too, especially as a small business. One of the biggest advantages we have over the likes of Amazon and eBay, et cetera, is that we have that more personal contact with the customer. And the better relationship we can build with them, the more friendly we can be. Ask them how their weekend was. Ask them if they're going on holiday this year, what they're up to over the holiday period. Then the more likely they are to actually like you, the better relationship you're going to have. And then if there is a problem later on down the line, because you already have built that initial relationship, then they're more likely to give you the benefit of the doubt. And trust me, it can make all the difference. Good example of this then is if you've ever been shopping for a car and you've been to many different dealerships and you've spoken to the salespeople that come out and try and speak to you about the car, if you get a rude one that doesn't really listen to what you're saying, it's just trying to throw a car down your throat and make the sale.    So just consider that next time you're talking or thinking about your supplies or your customers. Point number seven then, which is the customer is always right. And as it says in brackets there, unfortunately, the amount of emails I've received from customers and they just have opinions that I just don't agree with or just ridiculous comments or they're even lying, like customers will lie to you. They'll say one thing, completely change your mind in the next email or they'll pretend they haven't received an item and the amount of times, trust me, that I've wanted to send back a really kind of stern email and point out all the reasons why they're a bloody idiot, then trust me, you just can't do that. You have to be the bigger person and you have to write a friendly email back. You have to try and diffuse any situation because trust me, it comes back to the previous point. If you're nice back to them, it makes it that much harder for them to be horrible to you. So just stay professional at every point because the last thing you want to do is annoy someone even more, anger them even more and then just go out on some sort of like hate rampage and go on to your Facebook and comment on every single post for the last three years, every single post on Instagram because trust me, I've seen customers do it and it's not worth it. It's just not worth it. The best way to combat an anger customer is just to be super nice back to them and try and diffuse the situation.  Moving on to the eighth and final point, then if we just get rid of the highlight once again, always be on the look for new products. So any successful business has to be growing. One of my favorite sayings is if you're not moving forwards, you're moving backwards and this ultimately links in with number five as well. If you can outsource tasks that aren't skillful, you'll have more time to grow your business and one of the ways you can do that is always be on the look for new products. The next best thing that nobody else is advertising because Facebook is a limited space. It's a massive huge space, but it's limited. So if you can be one of the first people that actually brings a product to Facebook that nobody's seen before, then sales can just completely explode within a space for a week and then all you've got to worry about is actually cash flow in your business which is point number four. So with that being said guys, that is all eight points. I hope you're still stuck with me the whole way through. I hope these points prepare you better for your journey into dropshiping. If you enjoyed the video, please do hit that like button. Any questions whatsoever, I read every single comment. So comment your questions below, I will add to them. And then finally, please do hit that subscribe button if you haven't already. Once again, thanks very much for watching. I hope you enjoyed it and I'll see you in the next one.


Working on students' self-confidence When it comes to an ESL, English second language, class, the first thing we should remember is that non-native speakers are normally deprived of the level of confidence they need to fulfill their learning potential in its entirety. This is why it's important for a teacher to provide them with an appropriate background at a stretch of a lesson, favorable atmosphere and an opportunity to move at their own pace. Psychological aspects of teaching It goes without saying that not only students, who learn a second language, can be rather short of confidence but they may also feel especially vulnerable when trying to put their knowledge into practice. The task of a teacher is to diffuse tension being moderate and consistent. We should bear in mind that it's okay to make the necessary corrections during targeted practice, but we don't have to interrupt or correct as much during free-speaking activities. It's better for students to just let go of their fears and try to speak. Clear, yet illuminating instructions and guided help wouldn't need a dar enough. This, we believe, will enhance students' engagement and efficiency of learning. Praise Another cornerstone of success lies in offering constant praise and acknowledging students' accomplishments, both in private and in front of their classmates. Confidence can tumble on the ground for various reasons. However, it's in a teacher's power to support learners by taking the focus away from their weakness and placing it on their strengths. The best strategy to praise students looks like this, always start with a positive statement, and then you may proceed by referring to what they need to work on. Even though we are telling them what they did wrong, they get a more positive message by hearing what they did right first. Besides, showing students that we are on their side and that they are worth our attention seems to embrace a sense of just rightness. On the other hand, it's also of great significance to give our learners opportunities to succeed. They always know something we don't, and the chances they'll do a great job explaining their experience are rather high. This is an incredible confidence boost to their ego. The topics where students can make a go of it vary a lot. It depends on the age, social and cultural background, hobbies, occupation, etc. Those who have special talents or skills can teach their classmates arranging different workshops or preparing formal presentations. In other words, students won't be taken aback as they are taught and teach at the same time. Do you want to learn new teaching skills? Take a TEFL course today. To draw the conclusion, while teaching students in an ESL class we should pay attention to building students' confidence. Encourage them and inspire to experiment with the language. Confident students feel they can accomplish what they are set out to do in the classroom and beyond when they have to use their language skills in the real world. Moreover, learners become ready to set goals by themselves and use English more deliberately. It means they start developing their own inner motivation and built language confidence. Speak with an ITTT advisor today to put together your personal plan for teaching English abroad. Send us an email or call us toll free at 1-800-490-0531 to speak with an ITTT advisor today.


Hello and welcome to the session. Today I will help you with the following question. The question says verify Uless formula for this solid. First let's see what the Uless formula is. Uless formula is F plus V minus E is equal to 2 where F is the number of faces of the polyhedron V is the number of vertices of the polyhedron is the number of edges of the polyhedron. This is the key idea for this question. Now let's move on to the solution. Number of faces that is F in this figure would be, now this is one face, this is the second face, third face, fourth face, one face along this edge, one face along this edge and one is the base. So in all we have F equal to 7. Then the number of vertices that is V is equal to, this is one vertex 2, 3, 4, 5, 6, 7, 8, 9 and one vertex is behind. So in all we have 10 vertices that is V is equal to 10. Then the number of edges that is E would be equal to, now this is one edge 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 and three edges are behind. So in all we have 15 edges that is E is equal to 15. By Uless formula we have F plus V minus E is equal to 2. We consider the LHS that is F plus V minus E and now we substitute the values of F, V and E. This becomes equal to F is 7. So we have 7 plus V is 10 minus E is 15 which is equal to 17 minus 15 and this is further equal to 2 that is equal to RHS of the Uless formula. Hence Uless formula is verified. Hope you enjoyed the session. Have a good day.