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Generic and Non-Generic Solutions   (Mathematica Tutorial)
If you have an equation like 2x==0, it is perfectly clear that the only possible solution is x->0. However, if you have an equation like ax==0, things are not so clear. If a ...
DifferentialRootReduce   (Built-in Mathematica Symbol)
DifferentialRootReduce[expr, x] attempts to reduce expr to a single DifferentialRoot object as a function of x.DifferentialRootReduce[expr, {x, x_0}] takes the initial ...
Create a Folder of Thumbnail Images   (Mathematica How To)
A very common batch processing task is to reduce the dimensions of a set of images in one or more system folders, in effect constructing thumbnail images. Mathematica 's file ...
DifferenceRootReduce   (Built-in Mathematica Symbol)
DifferenceRootReduce[expr, n] attempts to reduce expr to a single DifferenceRoot object as a function of n.
Solving Equations   (Mathematica Tutorial)
An expression like x^2+2x-7==0 represents an equation in Mathematica. You will often need to solve equations like this, to find out for what values of x they are true. This ...
Algebraic Numbers   (Mathematica Guide)
Mathematica's symbolic character allows it to provide deep integrated support for algebraic numbers. At the core are Root objects, which provide exact implicit ...
Algebraic Number Theory   (Mathematica Guide)
With its convenient symbolic representation of algebraic numbers, Mathematica's state-of-the-art algebraic number theory capabilities provide a concrete implementation of one ...
Trigonometric Expressions   (Mathematica Tutorial)
Functions for manipulating trigonometric expressions. This expands out a trigonometric expression. This factors the expression.
In an expression like f[{a,b,c}] you are giving a list as the argument to a function. Often you need instead to apply a function directly to the elements of a list, rather ...
Number Recognition   (Mathematica Guide)
A core activity in exploratory experimental mathematics is recognition of numbers: going backward from a number to find out how it can be generated. Mathematica provides ...
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