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Mathematics

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Free Math worksheets, Free phonics worksheets, Math Games and Online activities and Quizzes. Game Theory. Matrix (mathematics) Each element of a matrix is often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. Applications of matrices are found in most scientific fields. In every branch of physics, including classical mechanics, optics, electromagnetism, quantum mechanics, and quantum electrodynamics, they are used to study physical phenomena, such as the motion of rigid bodies. In computer graphics, they are used to project a 3-dimensional image onto a 2-dimensional screen. In probability theory and statistics, stochastic matrices are used to describe sets of probabilities; for instance, they are used within the PageRank algorithm that ranks the pages in a Google search.[4] Matrix calculus generalizes classical analytical notions such as derivatives and exponentials to higher dimensions.

The numbers, symbols or expressions in the matrix are called its entries or its elements. Matrices are commonly written in box brackets: Differential equations tutorial. Matemáticas. Math. Math. Fibonacci. Maths. Math. Mathématiques magiques. Mathematics. Wolfram MathWorld: The Web's Most Extensive Mathematics Resource. Fibonacci and the Golden Ratio Exposed | Video Lecture. MATHEMATIQUES. Beauty of Mathematics mathematics,Symmetry of numbers...,by Rand. Math. Math Calculator.

Perform mathematics calculations online : arrays, matrix, integrals, trigonometry functions, linear equations, differential equations, financial functions, polynomials, function solver, math equation solver, variables, products, inequalities, approximations, root-finding for algebraic functions, integrate functions numerically, find local extrema, analysis of a function and more. It can solve various mathematical problems in areas of calculus, algebra, discrete mathematics, numerical algorithms, applied mathematics and engineering mathematics. Use of variables, definitions, pi, exponential functions, products, symbols, sets, logic is allowed and possible. Statistical and finance functions are possible. Read tutorial to learn how to use. Powered by Octave. Input your mathematic formulas in Octave format here : This complimentary computer program can be used in science: in research but also in study (both university and in different school grades, but it isn't the best for dummies).

Mathematica Online Integrator. El Patrón de los Números Primos: Prime Number Patterns. By Jason Davies. For each natural number n, we draw a periodic curve starting from the origin, intersecting the x-axis at n and its multiples. The prime numbers are those that have been intersected by only two curves: the prime number itself and one. Below the currently highlighted number, we also show its sum of divisors σ(n), and its aliquot sum s(n) = σ(n) - n, which indicate whether the number is prime, deficient, perfect or abundant. Based on Sobre el patrón de los números primos by Omar E. Pol. Geeky pin numbers. Calculus Revisited: Single Variable Calculus. Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman-level introductory calculus course.

The series was first released in 1970 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning calculus for the first time. Part I: Sets, Functions, and Limits In its most common usage, a “set” is any collection of objects and a “function” is simply a rule that that assigns members of one set to members of another set. As an everyday non-mathematical example, consider the situation in which a teacher assigns grades to students.

In this case, the teacher is the function that assigns to each member in the set of students a letter in the set whose members are A, B, C, D and F. Part II: Differentiation In this part of our course, we introduce the concept of instantaneous rates of change. Les jeux mathématiques de Diophante, plus de 700 problèmes ...

Game Theory. Fractal Lab - Interactive WebGL Fractal Explorer. History Fractal Lab started around the beginning of 2011 as my first explorations rendering fractals in the browser with WebGL. Previously I had created renderers using Adobe PixelBender and QuartzComposer, which both had the advantage of easy integration into Photoshop and AfterEffects but were very limited when it came to interactively exploring the fractal space. Fractals are by nature highly detailed and so the smallest change to an input parameter can often result in dramatic differences in the output shape. In order to properly explore the space (and discover hidden gems that coalesce at specific parameter combinations) I decided to build a new UI (that had to nice to use!) , a control system and a new GLSL renderer in WebGL to take advantage of the parallel computing power of the GPU in a web browser. The first version of Fractal Lab was a proof of concept to show that you could modify and fly around the fractals in the browser at interactive speeds.

Implementation Ray Marching. Math Websites. Blog : Droste Effect with Mathematica. The “Droste effect” is when images recursively include themselves. The name comes from Droste brand cocoa powder, which was sold in 1904 in a box that showed a nurse carrying the same box which, in turn, showed the nurse carrying the box, and so on. The simplest form is to use a scale and transform on an image to place an exact copy within it, and then repeat. Take a look at this Demonstration using the original Droste box artwork. But much more interesting results can be achieved when you get complex analysis involved.

M.C. Escher was the first to popularize applying conformal mapping to images, but with computers we can easily apply the same ideas to photographs, to get results like this: The idea isn’t new, but when I came to do it myself, the methods that I found on the web seemed rather unsatisfactory. In essence, the idea is simple. Mathematica doesn’t currently contain this arbitrary geometric transformation operation for images, so I need to start by implementing it. Mathway: Math Problem Solver. Petits contes mathématiques : le X - curiosphere.tv.

Fractals

Game Theory. Math Videos. Math Articles. Great Mathematicians. Math Webs. Math Pearlers. Récréomath. [ wu :: riddles(hard) ] There are three puzzlers in the puzzle forum: A Newbie, a Senior Riddler, and an Uberpuzzler. All three are honest, but can only give answers to the best of their knowledge. Newbies are confused creatures. Until their fifteenth posts, they are only able to make random responses! * Senior Riddlers have great powers of perception, but are not yet infallible.

Uberpuzzlers are omniscient beings who are your greatest allies in the Puzzle Forum!!! The Uberpuzzler can exert Influence arbitrarily often. Furthermore, an Uberpuzzler only uses his power of Influence in a very specific way. (Thus, he employs a strategy defined as a mapping f : S3 x {(T|F)*} -> {0,1}, which can be interpreted as follows: for each ordering of the puzzlers "sigma" (a permutation in S3, e.g.

Note that this is different from saying that the puzzler chooses when the Uberpuzzler applies Influence! Determine with proof the minimum number of questions which will allow you to identify which puzzler is which. Arithmetic Operations: Orders. ComplexSystems. Fibonacci. Math Notes. Infinite Secrets | Approximating Pi (non-Flash) Word Problem Solving- Exponential Growth and Decay. William Noel: Revealing the lost codex of Archimedes. Fibonacci, la representación de Zeckendorf y la conversión entre kilómetros y millas. La sucesión de Fibonacci, llamada así por el matemático italiano Leonardo de Pisa, Fibonacci (que la presentó en su obra Liber Abaci), es posiblemente una de las sucesiones numéricas más conocidas por los matemáticos y los no matemáticos.

Y no es para menos, dada la gran cantidad de propiedades interesantes que posee y la manía que tiene de aparecer en los lugares más insospechados, además de por su relación con , el número áureo. Pero es posible que un objeto matemático como éste nunca sea totalmente conocido, siempre esconda algo. Hoy vamos a hablar de una interesante propiedad de esta sucesión que es poco conocida y que está relacionada con representaciones de números enteros positivos. Sabemos que todo entero positivo puede representarse de forma única como suma de potencias de 2.

Por lo que 46 en binario es: ¿Qué tiene que ver esto de las representaciones de números enteros con los números de Fibonacci? , para evitar problemas nos quedamos uno de ellos nada más, ? Veamos un ejemplo. MATH@ES Mathématiques au lycée en ES. Mathématiques magiques. Blackboards in Porn.