If (Built-in Mathematica Symbol)

If[condition, t, f] gives t if condition evaluates to True, and f if it evaluates to False. If[condition, t, f, u] gives u if condition evaluates to neither True nor False.

KroneckerDelta (Built-in Mathematica Symbol)

KroneckerDelta[n_1, n_2, ...] gives the Kronecker delta \[Delta] Subscript[n, 1] Subscript[n, 2] ..., equal to 1 if all the n_i are equal, and 0 otherwise.

Length (Built-in Mathematica Symbol)

Length[expr] gives the number of elements in expr.

Nand (Built-in Mathematica Symbol)

Nand[e_1, e_2, ...] is the logical NAND function. It evaluates its arguments in order, giving True immediately if any of them are False, and False if they are all True.

Nor (Built-in Mathematica Symbol)

Nor[e_1, e_2, ...] is the logical NOR function. It evaluates its arguments in order, giving False immediately if any of them are True, and True if they are all False.

PolynomialMod (Built-in Mathematica Symbol)

PolynomialMod[poly, m] gives the polynomial poly reduced modulo m. PolynomialMod[poly, {m_1, m_2, ...}] reduces modulo all of the m_i.

Throw (Built-in Mathematica Symbol)

Throw[value] stops evaluation and returns value as the value of the nearest enclosing Catch. Throw[value, tag] is caught only by Catch[expr, form] where form is a pattern ...

Xor (Built-in Mathematica Symbol)

Xor[e_1, e_2, ...] is the logical XOR (exclusive OR) function. It gives True if an odd number of the e_i are True, and the rest are False. It gives False if an even number of ...

ArcTan (Built-in Mathematica Symbol)

ArcTan[z] gives the arc tangent tan -1 (z) of the complex number z. ArcTan[x, y] gives the arc tangent of y/x, taking into account which quadrant the point (x, y) is in.

ArithmeticGeometricMean (Built-in Mathematica Symbol)

ArithmeticGeometricMean[a, b] gives the arithmetic-geometric mean of a and b.