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Highly Symmetric Tensegrity Structures
This is access to a catalog of several hundred tensegrity structures that are held rigidly together with incompressible struts and inextendable cables connecting point nodes. These structures are highly symmetric in the sense that there is a symmetry of t
Decision theory - Wikipedia, the free encyclopedia
Decision theory in mathematics and statistics is concerned with identifying the values, uncertainties and other issues relevant in a given decision and the resulting optimal decision.
Vector Field -- from Wolfram MathWorld
A vector field is a map f:R^n|->R^n that assigns each x a vector function f(x). A vector field is uniquely specified by its divergence and curl within a region and its normal component over the boundary
Hairy Ball Theorem -- from Wolfram MathWorld
There does not exist an everywhere nonzero tangent vector field on the 2-sphere S^2. This implies that somewhere on the surface of the Earth, there is a point with zero horizontal wind velocity. The theorem can be generalized to the statement that the n-s
Project Euler
Project Euler is a series of challenging mathematical/computer programming problems that will require more than just mathematical insights to solve. Although mathematics will help you arrive at elegant and efficient methods, the use of a computer and prog
Beal's conjecture - Wikipedia, the free encyclopedia
Beal's conjecture names a number theory conjecture proposed by amateur mathematician Andrew Beal.
While investigating generalizations of Fermat's last theorem in 1993, Beal formulated the following conjecture:
If
A^x +B^y = C^z ,
where A, B, C, x,
Modular arithmetic - Wikipedia, the free encyclopedia
Modular arithmetic (sometimes called modulo arithmetic, or clock arithmetic) is a system of arithmetic for integers, where numbers "wrap around" after they reach a certain value — the modulus.
Coprime - Wikipedia, the free encyclopedia
In mathematics, the integers a and b are said to be coprime or relatively prime if they have no common factor other than 1 or, equivalently, if their greatest common divisor is 1.
For example, 6 and 35 are coprime, but 6 and 27 are not because they are b
An Intuitive Guide To Exponential Functions & E | BetterExplained
e is the base amount of growth shared by all continually growing processes. e lets you take a simple growth rate (where all change happens at the end) and find the impact of compound, continuous growth, where every instant you are growing just a bit.
Demystifying the Natural Logarithm (ln) | BetterExplained
Given how the natural log is described in math books, there’s little “natural” about it: it’s defined as the inverse of e^x, a strange enough exponent already.
Easy Permutations and Combinations | BetterExplained
Permutations are for lists (order matters) and combinations are for groups (order doesn’t matter).
Rethinking Arithmetic: A Visual Guide | BetterExplained
Arithmetic gives us tools to smoosh, slide and stretch numbers. These transformations are handy: sometimes there’s things in the real world we want to smoosh, slide and stretch in the same way.
How To Analyze Data Using the Average | BetterExplained
The average is a simple term with several meanings. The type of average to use depends on whether you’re adding, multiplying, grouping or dividing work among the items in your set.
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