In some cases it is useful to split the differential system into subsystems and solve each subsystem using appropriate integration methods. Recombining the individual ...

Algebraic is now available as the newly added built-in Mathematica kernel function AlgebraicNumber. ToCommonField and ToNumberFieldElement are now available as the newly ...

DivisorSum[n, form] represents the sum of form[i] for all i that divide n.DivisorSum[n, form, cond] includes only those divisors for which cond[i] gives True.

x >= y or x >= y yields True if x is determined to be greater than or equal to y. x_1 >= x_2 >= x_3 yields True if the x_i form a non-increasing sequence.

x <= y or x <= y yields True if x is determined to be less than or equal to y. x_1 <= x_2 <= x_3 yields True if the x TraditionalForm\`i form a nondecreasing sequence.

x < y yields True if x is determined to be less than y. x_1 < x_2 < x_3 yields True if the x_i form a strictly increasing sequence.

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One of the unique strengths of Mathematica's core language is its powerful and succinct—yet highly readable—symbolic pattern language. Convenient both for immediate use in ...

All expressions in Mathematica are ultimately built from a small number of distinct types of atomic elements.