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Could Knots Unravel Mysteries of Turbulent Fluid Flow? Math jobs, statistics jobs, employment, math, statistics, jobs, employment, mathematics, phd, masters, education, university, college, united states, russia, europe, mathematika, mexico, canada, mathematics, math, jobs, employment. Life in the City Is Essentially One Giant Math Problem. Egyptian Maths. Hexaflexagons 2. How to Turn a Sphere Inside Out. An Interactive Guide To The Fourier Transform. Graham's Number - Video. Sets, Counting, and Probability. This online math course develops the mathematics needed to formulate and analyze probability models for idealized situations drawn from everyday life.

Sets, Counting, and Probability

Topics include elementary set theory, techniques for systematic counting, axioms for probability, conditional probability, discrete random variables, infinite geometric series, and random walks. Applications to card games like bridge and poker, to gambling, to sports, to election results, and to inference in fields like history and genealogy, national security, and theology. The emphasis is on careful application of basic principles rather than on memorizing and using formulas. Free online math lectures The Quicktime and MP3 formats are available for download, or you can play the Flash version directly. Infinities. The concept of infinity is hard to grasp because it is an abstraction.


There are no tangible objects in our lives that are truly infinite in number so we really have nothing to compare it to. The only way to get an infinite number of anything is by invoking infinity elsewhere, which doesn’t really clarify matters much. For example, the number of elementary particles in our visible universe, although immensely large, is still a finite number. If we assume that the density of particles in the universe is roughly the same everywhere and further postulate that the universe is of infinite size, then we can arrive at an infinite number of particles. 6 Must-See Math Videos That Will Inspire And Frighten. GEM1518K - Mathematics in Art & Architecture - Project Submission. “For me it remains an open question whether [this work] pertains to the realm of mathematics or to that of art.” - M.C.

GEM1518K - Mathematics in Art & Architecture - Project Submission

Escher Contents Page 1 Introduction The Art of Alhambra Our Area of Focus Our Aim Page 2 The Principals behind Tessellations - Translation - Rotation - Reflection - Glide Reflection. Moebius Transformations Revealed. Proofs Without Words Gallery. 6174 (number) 6174 is known as Kaprekar's constant[1][2][3] after the Indian mathematician D.

6174 (number)

R. Kaprekar. DC.pdf (application/pdf Object) The eloquence of... Maths: Free maths help, advice and ramblings. If you are the first to solve this problem I will give you complete set of the Richard Feynman Lectures on Physics (read up upon the Feynman Lectures on Physics).

The eloquence of... Maths: Free maths help, advice and ramblings

Question: Take a square of arbitrary side length and construct four new squares with a side length half of the original positioned in the corners a quarter of the way down and across the two sides creating the corner. This would look like: Then in each of the new squares in the furthest corner from the first square create a new square with half the side length a quarter of the way down and across the two sides creating the corner. Repeat this step for each newly constructed square to it infinity. Point nine recurring equals one. (This page is entirely factually accurate.

Point nine recurring equals one

It is neither a joke nor a satire nor a collection of fallacious proofs. All these proofs are genuine and the results are true. Thanks.) Preliminary note. Troll pi explained. 3 Dimensional Fractals & Mandelbulb. Euler's Solution to the Basel Problem : EvolutionBlog. I’m in the mood for some math today, so here’s an amusing little proof I recently showed to my History of Mathematics class.

Euler's Solution to the Basel Problem : EvolutionBlog

We shall derive the formula \[ \frac{\pi^2}{6}=1+\frac{1}{4}+\frac{1}{9}+\frac{1}{16}+\frac{1}{25}+\dots \] Contact networks have no influence on cooperation among individuals. Researchers at Carlos III University of Madrid and the University of Zaragoza theoretically predict, in a scientific study, that contact networks have no influence on cooperation among individuals.

Contact networks have no influence on cooperation among individuals

For the past twenty years, there has been a great controversy regarding whether the structure of interactions among individuals (that is, if the existence of a certain contact network or social network) helps to foment cooperation among them in situations in which not cooperating brings benefits without generating the costs of helping. Many theoretical studies have analyzed this subject, but the conclusions have been contradictory, since the way in which people make decisions is almost always based on a hypothesis of the models with very little basis to justify it. This work is based on the results of an experiment carried out by the researchers and on information from other previous studies, as well as on the results (as yet unpublished) obtained from their own new experiments. Benford's Law.

If you’ve not heard about Benford’s Law before, you’re in for a real treat with this post.

Benford's Law

Before we get into the theory, however, indulge with me in a little thought experiment. (Gedanken) Gedanken Experiment Actual results Huh !!? 5 and Penrose Tiling [video] "As far as I'm concerned, the funny thing about five is that it's not three, four or six.

5 and Penrose Tiling [video]

" ~ Professor John Hunton. Does "Penrose tiling" ring a bell? It should if you've been reading this blog for awhile because this phenomenon played a role in the 2011 Nobel Prize in Chemistry. When the Nobel was awarded, I mentioned that, in my opinion, that body of research was a brilliant combination of chemistry, physics and maths. Pattern master wins million-dollar mathematics prize - physics-math - 21 March 2012. Imagine I present you with a line of cards labelled 1 through to n, where n is some incredibly large number. 'Infinity Computer' Calculates Area Of Sierpinski Carpet Exactly. A Sierpinksi carpet is one of the more famous fractal objects in mathematics. Creating one is an iterative procedure. Start with a square, divide it into nine equal squares and remove the central one. That leaves eight squares around a central square hole.

Dirac String Trick. Math Fun Facts! Abstract Algebra - Free Harvard Courses. Algebra is the language of modern mathematics. Explained: Sigma. It’s a question that arises with virtually every major new finding in science or medicine: What makes a result reliable enough to be taken seriously? The answer has to do with statistical significance — but also with judgments about what standards make sense in a given situation. The unit of measurement usually given when talking about statistical significance is the standard deviation, expressed with the lowercase Greek letter sigma (σ). Virtual Reality Polyhedra. Powerful constraints on any structure that inhabits it. Most Popular Math Fun Facts.

A Visual, Intuitive Guide to Imaginary Numbers. Imaginary numbers always confused me. Information for readers of sci.math.research. What is the Reimann Hypothesis? Why is it so important. What is it like to have an understanding of very advanced mathematics. Unsolved Problems.