Bitwise Operations (Mathematica Guide)

Mathematica can represent bit vectors of arbitrary length as integers, and uses highly optimized algorithms—including several original to Wolfram Research—to perform bitwise ...

Counting and Isolating Polynomial Roots (Mathematica Tutorial)

Counting roots of polynomials. CountRoots accepts polynomials with Gaussian rational coefficients. The root count includes multiplicities. This gives the number of real roots ...

Cubics (Built-in Mathematica Symbol)

Cubics is an option for functions that involve solving algebraic equations, that specifies whether explicit forms for solutions to cubic equations should be given.

Quartics (Built-in Mathematica Symbol)

Quartics is an option for functions that involve solving algebraic equations that specifies whether explicit forms for solutions to quartic equations should be given.

Re (Built-in Mathematica Symbol)

Re[z] gives the real part of the complex number z.

FourierTrigSeries (Built-in Mathematica Symbol)

FourierTrigSeries[expr, t, n] gives the n\[Null]^th-order Fourier trigonometric series expansion of expr in t.FourierTrigSeries[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] gives ...

TransferFunctionFactor (Built-in Mathematica Symbol)

TransferFunctionFactor[tf] factors the polynomial terms in the numerators and denominators of the TransferFunctionModel object tf.

Graphics Coordinates (Mathematica Guide)

Mathematica supports a variety of coordinate systems, organized for ease and efficiency of both direct and programmatic use. It supports convenient robust automatic range and ...

FourierCosSeries (Built-in Mathematica Symbol)

FourierCosSeries[expr, t, n] gives the n\[Null]^th-order Fourier cosine series expansion of expr in t.FourierCosSeries[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] gives the ...

Verification of the Solution (Mathematica Tutorial)

The solution given by DSolve can be verified using various methods. The easiest method involves substituting the solution back into the equation. If the result is True, the ...