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Polynomials are doing my HEAD IN. I just can't get my head around binomial expansion.
Lighting sucked, so quality sucked.
Gate Theatre & Greyscale present
TENET: a true story about the revolutionary politics of telling the truth about truth as edited by someone who is not Julian Assange in any literal sense
By Lorne Campbell and Sandy Grierson
Meet Evariste: he's a brilliant mathematician and a very angry young man. Meet Julian: he makes people very cross, he's here to help. If Evariste can keep it together and Julian can keep out of the way then the two of them might be able to explain everything from polynomial equations (easy) to how to change the world (a bit harder) before someone dies at dawn.
1-26 May at the Gate Theatre, Notting Hill
020 7229 0706 | www.gatetheatre.co.uk
Gate Theatre & Greyscale present
TENET: a true story about the revolutionary politics of telling the truth about truth as edited by someone who is not Julian Assange in any literal sense
By Lorne Campbell and Sandy Grierson
Meet Evariste: he's a brilliant mathematician and a very angry young man. Meet Julian: he makes people very cross, he's here to help. If Evariste can keep it together and Julian can keep out of the way then the two of them might be able to explain everything from polynomial equations (easy) to how to change the world (a bit harder) before someone dies at dawn.
1-26 May at the Gate Theatre, Notting Hill
020 7229 0706 | www.gatetheatre.co.uk
Radmila Sazdanovic. In spite of its similarities to images of black holes or diffraction patterns of a myoglobin crystal Alexander galaxy 9755329 represents the complex roots of the Alexander polynomials for all 9755329 prime knots up to 17 crossings. Alexander polynomials were invented in the early 20th century in the attempt to distinguish knots and have been an essential tool in knot theory. This image contains more than 123 million points, each of them corresponding to a different root, scattered in the complex plane. Higher density regions are brighter, while the red shading reflects the signature of each knot.
This image is part of a research project joint with P. DÅ‚otko (Poland) and D. Gurnari (Italy) aiming to gain insight on open questions in knot theory by means of data analysis and visualization techniques from applied algebraic topology (Topological Data Analysis) that gap between theoretical, computational and experimental approaches to knot theory.
Gate Theatre & Greyscale present
TENET: a true story about the revolutionary politics of telling the truth about truth as edited by someone who is not Julian Assange in any literal sense
By Lorne Campbell and Sandy Grierson
Meet Evariste: he's a brilliant mathematician and a very angry young man. Meet Julian: he makes people very cross, he's here to help. If Evariste can keep it together and Julian can keep out of the way then the two of them might be able to explain everything from polynomial equations (easy) to how to change the world (a bit harder) before someone dies at dawn.
1-26 May at the Gate Theatre, Notting Hill
020 7229 0706 | www.gatetheatre.co.uk
Gate Theatre & Greyscale present
TENET: a true story about the revolutionary politics of telling the truth about truth as edited by someone who is not Julian Assange in any literal sense
By Lorne Campbell and Sandy Grierson
Meet Evariste: he's a brilliant mathematician and a very angry young man. Meet Julian: he makes people very cross, he's here to help. If Evariste can keep it together and Julian can keep out of the way then the two of them might be able to explain everything from polynomial equations (easy) to how to change the world (a bit harder) before someone dies at dawn.
1-26 May at the Gate Theatre, Notting Hill
020 7229 0706 | www.gatetheatre.co.uk
The original intent of this slide was to re-teach derivatives to the 4 students who transferred into the class this week. Thus the left side corresponds to a similar slide from the first week. The right side is more interesting though, because it shows taking the first derivative of a position parabola to get a linear velocity graph, and then taking a second derivative of the linear velocity graph to get a constant acceleration graph. This situation will be very common for us in AP Physics C, as many objects move under constant acceleration because this is what the force of gravity often inflicts upon flying objects. Of course, the constant acceleration would be -9.8 m/s^2, the slope of the (t,v) graph would be -9.8, and the first term in the quadratic would be -4.9
Sir William Rowan Hamilton MRIA (4 August 1805 – 2 September 1865) was an Irish mathematician. He made important contributions to optics, classical mechanics and algebra. Although Hamilton was not a physicist–he regarded himself as a pure mathematician–his work was of major importance to physics, particularly his reformulation of Newtonian mechanics, now called Hamiltonian mechanics. This work has proven central to the modern study of classical field theories such as electromagnetism, and to the development of quantum mechanics. In pure mathematics, he is best known as the inventor of quaternions.
William Rowan Hamilton's scientific career included the study of geometrical optics, classical mechanics, adaptation of dynamic methods in optical systems, applying quaternion and vector methods to problems in mechanics and in geometry, development of theories of conjugate algebraic couple functions (in which complex numbers are constructed as ordered pairs of real numbers), solvability of polynomial equations and general quintic polynomial solvable by radicals, the analysis on Fluctuating Functions (and the ideas from Fourier analysis), linear operators on quaternions and proving a result for linear operators on the space of quaternions (which is a special case of the general theorem which today is known as the Cayley–Hamilton theorem).
Gate Theatre & Greyscale present
TENET: a true story about the revolutionary politics of telling the truth about truth as edited by someone who is not Julian Assange in any literal sense
By Lorne Campbell and Sandy Grierson
Meet Evariste: he's a brilliant mathematician and a very angry young man. Meet Julian: he makes people very cross, he's here to help. If Evariste can keep it together and Julian can keep out of the way then the two of them might be able to explain everything from polynomial equations (easy) to how to change the world (a bit harder) before someone dies at dawn.
1-26 May at the Gate Theatre, Notting Hill
020 7229 0706 | www.gatetheatre.co.uk
Quadratic Formula Calculator In mathematical world, a Quadratic Equation is a polynomial equation of second degree. The general form of quadratic equation is.a Quadratic Formula calculator is available which makes calculations easy and fast. The calculator use quadratic formula to provide solution, or in simple way we can say that tool uses quadratic formula to solve quadratic equations.
Gate Theatre & Greyscale present
TENET: a true story about the revolutionary politics of telling the truth about truth as edited by someone who is not Julian Assange in any literal sense
By Lorne Campbell and Sandy Grierson
Meet Evariste: he's a brilliant mathematician and a very angry young man. Meet Julian: he makes people very cross, he's here to help. If Evariste can keep it together and Julian can keep out of the way then the two of them might be able to explain everything from polynomial equations (easy) to how to change the world (a bit harder) before someone dies at dawn.
1-26 May at the Gate Theatre, Notting Hill
020 7229 0706 | www.gatetheatre.co.uk
Gate Theatre & Greyscale present
TENET: a true story about the revolutionary politics of telling the truth about truth as edited by someone who is not Julian Assange in any literal sense
By Lorne Campbell and Sandy Grierson
Meet Evariste: he's a brilliant mathematician and a very angry young man. Meet Julian: he makes people very cross, he's here to help. If Evariste can keep it together and Julian can keep out of the way then the two of them might be able to explain everything from polynomial equations (easy) to how to change the world (a bit harder) before someone dies at dawn.
1-26 May at the Gate Theatre, Notting Hill
020 7229 0706 | www.gatetheatre.co.uk
Gate Theatre & Greyscale present
TENET: a true story about the revolutionary politics of telling the truth about truth as edited by someone who is not Julian Assange in any literal sense
By Lorne Campbell and Sandy Grierson
Meet Evariste: he's a brilliant mathematician and a very angry young man. Meet Julian: he makes people very cross, he's here to help. If Evariste can keep it together and Julian can keep out of the way then the two of them might be able to explain everything from polynomial equations (easy) to how to change the world (a bit harder) before someone dies at dawn.
1-26 May at the Gate Theatre, Notting Hill
020 7229 0706 | www.gatetheatre.co.uk
Gate Theatre & Greyscale present
TENET: a true story about the revolutionary politics of telling the truth about truth as edited by someone who is not Julian Assange in any literal sense
By Lorne Campbell and Sandy Grierson
Meet Evariste: he's a brilliant mathematician and a very angry young man. Meet Julian: he makes people very cross, he's here to help. If Evariste can keep it together and Julian can keep out of the way then the two of them might be able to explain everything from polynomial equations (easy) to how to change the world (a bit harder) before someone dies at dawn.
1-26 May at the Gate Theatre, Notting Hill
020 7229 0706 | www.gatetheatre.co.uk
This slide shows how to get the work done (and therefore the potential energy) of a conservative force: If you can plot a (distance, Force) graph, all you do is take the area under it. This is what in calculus is called an integral.
This slide finds spring potential energy using two different methods- a simple geometric method (which works since this area is just a triangle) and the integral of a polynomial function.
Note that the left part of this slide also shows that the change in potential energy is the negative of the work done by the conservative force. This often confuses students. It is because the energy added to the system doesn't come from the conservative force- it comes from whoever is pushing the thing against that force. If it weren't for the conservative force, then this energy would go into kinetic energy (see next slide.) The conservative force doesn't allow the thing to move faster, it turns the additional energy into stored (potential) energy and hence the negative.
Note the distinction that this slide is careful to make between U- the potential energy at any one point on how far a string is stretched and deltaU, the change in potential energy as a spring stretches. The calculus makes this distinction pretty clear. We'll see soon that the change is much more important than the energy in any one location.
Thanks to a student in 3rd Hour in 2015-16 who took this photo
13/02/14
The following 8 images and 2 videos depict fractals generated in a program called 'Xaos Fractal'. It is less the visuals (although fractals are defined by a very unique aesthetic) and more the theory that is relevant to my post-digital concept.
A fractal is a visual representation of an infinite iteration of an algebraic function using imaginary numbers (z) , mapped on an complex plane which allows each number a geometric representation as a coordinate.
The iterations are recursive, meaning you put the output of the function straight back into the same function, essentially squaring the output. This is repeated infinitely.
Depending on whether the output stays bounded (within the imaginary plane) or escapes to infinity - a pixel is coloured either black (for bounded outputs) or a colour dependant on the speed with which the iteration escapes to infinity.
The famous Mandelbrot set is the set of values of 'c' (an imaginary number) in the complex plane for which the orbit of 0 under iteration of the complex quadratic polynomial. An easy to understand but theoretically complex equation:
z=z^2+c
imaginary numbers are combinations of the real and imaginary so z = a+bi
A fractal by definition is a mathematical set that typically display self-similar patterns. It is the architecture of nature... coastlines, veins, lungs, ferns, trees, shells, flowers. The fibonacci sequence is itself a fractal. The internet and the structure of the rate of technological development both have obvious fractal dynamics. The fractal can theoretically be zoomed-in on infinitely as there are an infinite amount of numbers, ipso facto functions and iterations.
Gate Theatre & Greyscale present
TENET: a true story about the revolutionary politics of telling the truth about truth as edited by someone who is not Julian Assange in any literal sense
By Lorne Campbell and Sandy Grierson
Meet Evariste: he's a brilliant mathematician and a very angry young man. Meet Julian: he makes people very cross, he's here to help. If Evariste can keep it together and Julian can keep out of the way then the two of them might be able to explain everything from polynomial equations (easy) to how to change the world (a bit harder) before someone dies at dawn.
1-26 May at the Gate Theatre, Notting Hill
020 7229 0706 | www.gatetheatre.co.uk
Gate Theatre & Greyscale present
TENET: a true story about the revolutionary politics of telling the truth about truth as edited by someone who is not Julian Assange in any literal sense
By Lorne Campbell and Sandy Grierson
Meet Evariste: he's a brilliant mathematician and a very angry young man. Meet Julian: he makes people very cross, he's here to help. If Evariste can keep it together and Julian can keep out of the way then the two of them might be able to explain everything from polynomial equations (easy) to how to change the world (a bit harder) before someone dies at dawn.
1-26 May at the Gate Theatre, Notting Hill
020 7229 0706 | www.gatetheatre.co.uk
Gate Theatre & Greyscale present
TENET: a true story about the revolutionary politics of telling the truth about truth as edited by someone who is not Julian Assange in any literal sense
By Lorne Campbell and Sandy Grierson
Meet Evariste: he's a brilliant mathematician and a very angry young man. Meet Julian: he makes people very cross, he's here to help. If Evariste can keep it together and Julian can keep out of the way then the two of them might be able to explain everything from polynomial equations (easy) to how to change the world (a bit harder) before someone dies at dawn.
1-26 May at the Gate Theatre, Notting Hill
020 7229 0706 | www.gatetheatre.co.uk
Solve Rational Expressions with online help Hi friends, before we move on rational expressions lets have a look on fractions. Ya, I know you are aware with fractions, but still I need to give a brief introduction of fractions as rational expressions are related to this only. Fractions are the part of any number in which we have numerator and denominator. They are in form of a/b or p/q or l/m, etc. where denominator term should not be equal to zero. If this condition is not true then the fraction will result an infinite term. Now, rational expressions are defined as the ratio of two polynomial terms. Polynomial term is the sum of variables and exponent expressions. The operations that are performed on the regular fractions are also performed on rational expressions like addition, subtraction, multiplication, and etc
Polynomial Functions in Grade IX Friends today I am going to discuss about one of the most interesting and a bit complex topic of Grade IX math that is Polynomial. Before proceeding further let’s talk about Polynomials. In earlier standards what I learn that a Polynomial is basically a term which deals in almost every type of mathematical equations or statements. The most common terminologies used in polynomial expressions are monomials, binomial and trinomials. Algebraic equations with all variables having whole number, exponents or powers are called polynomials. The expressions in which the power of variables are negative and rational numbers are not polynomials. Algebraic expression having single term known as Monomial and expression with two terms are known as Binomial whereas expressions having three terms are known as Trinomials.
This session consisted of a series of short talks on quantum computing, how it is applied to AI and its implications for finance, which will be followed by a roundtable discussion. There are many NP-Complete problems in finance. General multipleperiod portfolio optimization is a prime example of an intractable financial problem. This presentation demonstrated a quantum algorithm that solves general formulations of this notoriously complex problem in polynomial time.
Moderator: Marcos López de Prado, Senior Managing Director, Guggenheim Partners
Davide Venturelli, USRA, Science Operations Manager At
Quantum Artificial Intelligence Laboratory, NASA Ames Research Center
Vern Brownell, CEO, D-Wave Systems
Landon Downs, Co-Founder And President, 1QBit
FPolynomial Functions in Grade IXfriends today I am going to discuss about one of the most interesting and a bit complex topic of Grade IX math that is Polynomial. Before proceeding further let’s talk about Polynomials. In earlier standards what I learn that a Polynomial is basically a term which deals in almost every type of mathematical equations or statements. The most common terminologies used in polynomial expressions are monomials, binomial and trinomials. Algebraic equations with all variables having whole number, exponents or powers are called polynomials. The expressions in which the power of variables are negative and rational numbers are not polynomials. Algebraic expression having single term known as Monomial and expression with two terms are known as Binomial whereas expressions having three terms are known as Trinomials.
How to factor polynomials refers to factoring a polynomial into irreducible polynomials over a given field. It gives out the factors that together form a polynomial function. A polynomial function is of the form xn + xn -1 + xn - 2 + . . . . + k = 0, where k is a constant and n is a power. Polynomials are expressions that are formed by adding or subtracting several variables called monomials. Monomials are variables that are formed with a constant and a variable of some degree. Examples of monomials are 5x3, 6a2. Monomials having different exponents such as 5x3 and 3x4 cannot be added or subtracted but can be multiplied or divided by them.
TutorVista help in solving fractions TutorVista is an online tutoring website which provides math help for students in their studies so that they can excel their math skills without going anywhere. TutorVista covers all the math related lessons which are explained by various expert online math tutors.Friends, today we are going to discuss about a basic topic of math “ Fraction”, which is being learned by students in their earlier classes but still they are not that much able to solve queries of it . Fraction is representation of two numbers with division operator as A/ B, here A is numerator and B is denominator. These numerator and denominator may consist of other fractions or polynomials in it and in that condition the fraction is of composite complex form.
This session consisted of a series of short talks on quantum computing, how it is applied to AI and its implications for finance, which will be followed by a roundtable discussion. There are many NP-Complete problems in finance. General multipleperiod portfolio optimization is a prime example of an intractable financial problem. This presentation demonstrated a quantum algorithm that solves general formulations of this notoriously complex problem in polynomial time.
Moderator: Marcos López de Prado, Senior Managing Director, Guggenheim Partners
Davide Venturelli, USRA, Science Operations Manager At
Quantum Artificial Intelligence Laboratory, NASA Ames Research Center
Vern Brownell, CEO, D-Wave Systems
Landon Downs, Co-Founder And President, 1QBit
Simplifying rational expression can be really simple Friends in this session we will talk all about rational expressions, sometimes an rational expression can have fractions of complex form. This complexity is caused because of polynomials functions which are included in numerator and denominator of the rational expression. So the solution of these complex fractions or rational expressions is not so easy it requires an appropriate way.
This session consisted of a series of short talks on quantum computing, how it is applied to AI and its implications for finance, which will be followed by a roundtable discussion. There are many NP-Complete problems in finance. General multipleperiod portfolio optimization is a prime example of an intractable financial problem. This presentation demonstrated a quantum algorithm that solves general formulations of this notoriously complex problem in polynomial time.
Moderator: Marcos López de Prado, Senior Managing Director, Guggenheim Partners
Davide Venturelli, USRA, Science Operations Manager At
Quantum Artificial Intelligence Laboratory, NASA Ames Research Center
Vern Brownell, CEO, D-Wave Systems
Landon Downs, Co-Founder And President, 1QBit