BernoulliB (Built-in Mathematica Symbol)

BernoulliB[n] gives the Bernoulli number B_n. BernoulliB[n, x] gives the Bernoulli polynomial B_n (x).

BooleanCountingFunction (Built-in Mathematica Symbol)

BooleanCountingFunction[k_max, n] represents a Boolean function of n variables that gives True if at most k_max variables are True.BooleanCountingFunction[{k}, n] represents ...

DiscreteRatio (Built-in Mathematica Symbol)

DiscreteRatio[f, i] gives the discrete ratio f(i + 1)/f(i).DiscreteRatio[f, {i, n}] gives the multiple discrete ratio.DiscreteRatio[f, {i, n, h}] gives the multiple discrete ...

GreaterEqual (Built-in Mathematica Symbol)

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.

Greater (Built-in Mathematica Symbol)

x > y yields True if x is determined to be greater than y. x_1 > x_2 > x_3 yields True if the x_i form a strictly decreasing sequence.

I (Built-in Mathematica Symbol)

I represents the imaginary unit Sqrt[-1].

LyapunovSolve (Built-in Mathematica Symbol)

LyapunovSolve[a, c] finds a solution x of the matrix Lyapunov equation a.x + x.a\[ConjugateTranspose] == c.LyapunovSolve[a, b, c] solves a.x + x.b == c.LyapunovSolve[{a, d}, ...

ShannonWavelet (Built-in Mathematica Symbol)

ShannonWavelet[] represents the Shannon wavelet evaluated on the equally spaced interval {-10, 10}. ShannonWavelet[lim] represents the Shannon wavelet evaluated on the ...

WaveletPsi (Built-in Mathematica Symbol)

WaveletPsi[wave, x] gives the wavelet function \[Psi](x) for the symbolic wavelet wave evaluated at x.WaveletPsi[wave] gives the wavelet function as a pure function.

Structure Matrices and Convolution ... (Mathematica Tutorial)

Constructing matrices with special shapes. This creates a matrix of 0s containing a radius 4 diamond of 1s. The result is a 9×9 matrix. The size of the matrix can be ...