Linear First-Order Equations (Mathematica Tutorial)

The following is a linear first-order ODE because both y[x] and y^ ′[x] occur in it with power 1 and y^′[x] is the highest derivative. Note that the solution contains the ...

Gather (Built-in Mathematica Symbol)

Gather[list] gathers the elements of list into sublists of identical elements.Gather[list, test] applies test to pairs of elements to determine if they should be considered ...

LegendreQ (Built-in Mathematica Symbol)

LegendreQ[n, z] gives the Legendre function of the second kind Q_n (z). LegendreQ[n, m, z] gives the associated Legendre function of the second kind Q_n^m(z).

LinearRecurrence (Built-in Mathematica Symbol)

LinearRecurrence[ker, init, n] gives the sequence of length n obtained by iterating the linear recurrence with kernel ker starting with initial values ...

WeierstrassPPrime (Built-in Mathematica Symbol)

WeierstrassPPrime[u, {g_2, g_3}] gives the derivative of the Weierstrass elliptic function \[WeierstrassP](u; g_2, g_3).

Cos (Built-in Mathematica Symbol)

Cos[z] gives the cosine of z.

Csc (Built-in Mathematica Symbol)

Csc[z] gives the cosecant of z.

Part (Built-in Mathematica Symbol)

expr[[i]] or Part[expr, i] gives the i\[Null]^th part of expr. expr[[-i]] counts from the end. expr[[i, j, ...]] or Part[expr, i, j, ...] is equivalent to expr[[i]][[j]] .... ...

Sin (Built-in Mathematica Symbol)

Sin[z] gives the sine of z.

Maximize (Built-in Mathematica Symbol)

Maximize[f, x] maximizes f with respect to x.Maximize[f, {x, y, ...}] maximizes f with respect to x, y, .... Maximize[{f, cons}, {x, y, ...}] maximizes f subject to the ...