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HermiteDecomposition   (Built-in Mathematica Symbol)
HermiteDecomposition[m] gives the Hermite normal form decomposition of an integer matrix m.
Solve   (Built-in Mathematica Symbol)
Solve[expr, vars] attempts to solve the system expr of equations or inequalities for the variables vars. Solve[expr, vars, dom] solves over the domain dom. Common choices of ...
BellY   (Built-in Mathematica Symbol)
BellY[n, k, {x_1, ..., x n - k + 1}] gives the partial Bell polynomial Y n, k (x_1, ..., x n - k + 1). BellY[n, k, m] gives the generalized partial Bell polynomial of a ...
Inverse Functions   (Mathematica Guide)
 
Take a Derivative   (Mathematica How To)
Mathematica makes it easy to take even the most complicated derivatives involving any of its huge range of differentiable special functions.
Number Theory   (Mathematica Guide)
Packing a large number of sophisticated algorithms—many recent and original—into a powerful collection of functions, Mathematica draws on almost every major result in number ...
Numerical Root Finding   (Mathematica Tutorial)
NSolve gives you a general way to find numerical approximations to the solutions of polynomial equations. Finding numerical solutions to more general equations, however, can ...
Special Functions   (Mathematica Guide)
Two decades of intense R&D at Wolfram Research have given Mathematica by far the world's broadest and deepest coverage of special functions—and greatly expanded the whole ...
Built into Mathematica are state-of-the-art constrained nonlinear fitting capabilities, conveniently accessed with models given directly in symbolic form. Mathematica also ...
ProductLog   (Built-in Mathematica Symbol)
ProductLog[z] gives the principal solution for w in z == w e^w. ProductLog[k, z] gives the k\[Null]^th solution.
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