Introduction to Differential-Algebraic ... (Mathematica Tutorial)

The systems of equations that govern certain phenomena (in electrical circuits, chemical kinetics, etc.) contain a combination of differential equations and algebraic ...

Differential Equations (Mathematica Tutorial)

You can use the Mathematica function DSolve to find symbolic solutions to ordinary and partial differential equations. Solving a differential equation consists essentially in ...

CosIntegral (Built-in Mathematica Symbol)

CosIntegral[z] gives the cosine integral function Ci(z).

ModularLambda (Built-in Mathematica Symbol)

ModularLambda[\[Tau]] gives the modular lambda elliptic function \[Lambda](\[Tau]).

Generic and Non-Generic Solutions (Mathematica Tutorial)

If you have an equation like 2x==0, it is perfectly clear that the only possible solution is x->0. However, if you have an equation like ax==0, things are not so clear. If a ...

HermiteH (Built-in Mathematica Symbol)

HermiteH[n, x] gives the Hermite polynomial H_n (x).

ConstantArray (Built-in Mathematica Symbol)

ConstantArray[c, n] generates a list of n copies of the element c.ConstantArray[c, {n_1, n_2, ...}] generates an n_1*n_2*... array of nested lists containing copies of the ...

NakagamiDistribution (Built-in Mathematica Symbol)

NakagamiDistribution[\[Mu], \[Omega]] represents a Nakagami distribution with shape parameter \[Mu] and spread parameter \[Omega].

EllipticK (Built-in Mathematica Symbol)

EllipticK[m] gives the complete elliptic integral of the first kind K(m).

Less (Built-in Mathematica Symbol)

x < y yields True if x is determined to be less than y. x_1 < x_2 < x_3 yields True if the x_i form a strictly increasing sequence.