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MathWorld

Abel Prize -- from Wolfram MathWorld The Abel prize is a new mathematics prize of the Norwegian Academy of Science and Letters, dedicated to the memory of Niels Henrik Abel... https://mathworld.wolfram.com/AbelPrize.html

Ramanujan Prize -- from Wolfram MathWorld There are two awards that each go by the name "Ramanujan Prize": the SASTRA Ramanujan Prize and the ICTP Ramanujan Prize for Young... https://mathworld.wolfram.com/RamanujanPrize.html

Demonstrations

Lattice of Subgroups of Permutation Groups One of the simplest and most basic of all algebraic structures is a group. A group is a set with a binary operation that satisfies four... http://demonstrations.wolfram.com/LatticeOfSubgroupsOfPermutationGroups/

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Resources

https://wolframfoundation.org/programs/eCF_Sources.pdf

Blogs

The ABCD of Divergent Series—Wolfram Blog What is the sum of all the natural numbers? Examples using Mathematica help clear up some of the mystery that surrounds divergent series. https://blog.wolfram.com/2014/08/06/the-abcd-of-divergent-series/

Is Your Function Continuous? Squaring Away the New Function Properties in the Wolfram Language—Wolfram Blog New tools in Wolfram Language 12.2 for studying function properties. Exploration of properties for squares and cubes; trigs and inverses;... https://blog.wolfram.com/2021/03/30/is-your-function-continuous-squaring-away-the-new-function-properties-in-the-wolfram-language/

Fractional Calculus in Wolfram Language 13.1—Wolfram Blog The Wolfram Language adds support for fractional derivatives and integrals. Explanation of the approaches to finding solutions. Uses in... https://blog.wolfram.com/2022/08/12/fractional-calculus-in-wolfram-language-13-1/

Wolfram Language Documentation

Other Prizes in Mathematics Data Resource Nevanlinna, Abel, Wolfe, Steele and A. M. Turing prizes https://datarepository.wolframcloud.com/resources/e3c18848-cc07-4c20-8a94-3c21dc069eda/

Ordinary Differential Equations (ODEs) Wolfram Monograph There are four major areas in the study of ordinary differential equations that are of interest in pure and applied science. Of these four... https://reference.wolfram.com/language/tutorial/DSolveOrdinaryDifferentialEquations.html

Regularization Built-in Symbol Regularization is an option for Sum and Product that specifies what type of regularization to use. https://reference.wolfram.com/language/ref/Regularization.html

CauchyWindow Built-in Symbol CauchyWindow[x] represents a Cauchy window function of x. CauchyWindow[x, \[Alpha]] uses the parameter \[Alpha]. https://reference.wolfram.com/language/ref/CauchyWindow.html

AbelianGroup Built-in Symbol AbelianGroup[{n1, n2, ...}] represents the direct product of the cyclic groups of degrees n1, n2, .... https://reference.wolfram.com/language/ref/AbelianGroup.html

Sum Built-in Symbol Sum[f, {i, imax}] evaluates the sum \[Sum]i = 1 imax f. Sum[f, {i, imin, imax}] starts with i = imin. Sum[f, {i, imin, imax, di}] uses steps... https://reference.wolfram.com/language/ref/Sum.html

FractionalIteration Resource Function Get the flow of an iterated function at a fixed point https://resources.wolframcloud.com/FunctionRepository/resources/FractionalIteration

ContinuedFractionSource Entity Type Bibliographic references to the mathematical literature on continued fractions. https://reference.wolfram.com/language/ref/entity/ContinuedFractionSource.html

Working with DSolve: A User's Guide Wolfram Monograph The aim of these tutorials is to provide a self-contained working guide for solving different types of problems with DSolve. The first step... https://reference.wolfram.com/language/tutorial/DSolveWorkingWithDSolve.html

AllDependentVariables Resource Function Retrieve a list of all dependent variables for a given expression https://resources.wolframcloud.com/FunctionRepository/resources/AllDependentVariables

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