Comparison of Constrained Optimization ... (Mathematica Tutorial)

NMinimize, NMaximize, Minimize, and Maximize employ global optimization algorithms, and are thus suitable when a global optimum is needed. Minimize and Maximize can find ...

Overview of Higher-Order ODEs (Mathematica Tutorial)

The general form of an ODE with order n is As in the case of second-order ODEs, such an ODE can be classified as linear or nonlinear. The general form of a linear ODE of ...

Straight Integration (Mathematica Tutorial)

This equation is solved by simply integrating the right-hand side with respect to x. Here is a plot of the integral curves for different values of the arbitrary constant C[1].

RowReduce (Built-in Mathematica Symbol)

RowReduce[m] gives the row-reduced form of the matrix m.

BesselY (Built-in Mathematica Symbol)

BesselY[n, z] gives the Bessel function of the second kind Y_n (z).

ChineseRemainder (Built-in Mathematica Symbol)

ChineseRemainder[{r_1, r_2, ...}, {m_1, m_2, ...}] gives the smallest non-negative x that satisfies all the integer congruences x mod m_i = r_i mod m_i.

E (Built-in Mathematica Symbol)

E is the exponential constant E (base of natural logarithms), with numerical value \[TildeEqual] 2.71828.

GoldenRatio (Built-in Mathematica Symbol)

GoldenRatio is the golden ratio \[Phi] = 1/2 (Sqrt[5] + 1), with numerical value \[TildeEqual] 1.61803.

Hypergeometric0F1 (Built-in Mathematica Symbol)

Hypergeometric0F1[a, z] is the confluent hypergeometric function \[Null]_0 F_1 (; a; z).

KelvinBei (Built-in Mathematica Symbol)

KelvinBei[z] gives the Kelvin function bei(z).KelvinBei[n, z] gives the Kelvin function bei_n (z).