Mod[m, n] gives the remainder on division of m by n. Mod[m, n, d] uses an offset d.

Many real-world applications require the solution of IVPs and BVPs for nonlinear ODEs. For example, consider the logistic equation, which occurs in population dynamics. This ...

ButcherSimplify is an option to RungeKuttaOrderConditions that specifies whether to apply Butcher's row- and column-simplifying conditions.

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 ...

ToRadicals[expr] attempts to express all Root objects in expr in terms of radicals.

DiscreteDelta[n_1, n_2, ...] gives the discrete delta function \[Delta] (n_1, n_2, ...), equal to 1 if all the n_i are zero, and 0 otherwise.

Reals represents the domain of real numbers, as in x \[Element] Reals.

TrigFactor[expr] factors trigonometric functions in expr.

When you set up mathematical formulas, you often have to introduce various kinds of local objects or "dummy variables". You can treat such dummy variables using modules and ...

ArcCosh[z] gives the inverse hyperbolic cosine cosh -1 (z) of the complex number z.