Enter Mathematical Typesetting (Mathematica How To)

Mathematica notebooks support a variety of input and output styles. You can write input using the characters from the standard keyboard. Alternately, you can write input in ...

OutputResponse (Built-in Mathematica Symbol)

OutputResponse[sys, u, t] gives the output response of a TransferFunctionModel or StateSpaceModel object sys to the input u as a function of time t.OutputResponse[sys, u, {t, ...

Logic & Boolean Algebra (Mathematica Guide)

Mathematica represents Boolean expressions in symbolic form, so they can not only be evaluated, but also be symbolically manipulated and transformed. Incorporating ...

Introduction to Working with DSolve (Mathematica Tutorial)

The aim of these tutorials is to provide a self-contained working guide for solving different types of problems with DSolve. The first step in using DSolve is to set up the ...

Second-Order PDEs (Mathematica Tutorial)

The general form of a linear second-order PDE is Here uu(x,y), and a, b, c, d, e, f, and g are functions of x and y only—they do not depend on u. If g0, the equation is ...

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.

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.

SquaresR (Built-in Mathematica Symbol)

SquaresR[d, n] gives the number of ways r_d (n) to represent the integer n as a sum of d squares.

Setting Up the Problem (Mathematica Tutorial)

The first argument given to DSolve is the differential equation, the second argument is the unknown function, and the last argument identifies the independent variable. Here ...

Components and Data Structures (Mathematica Tutorial)

NDSolve is broken up into several basic steps. For advanced usage, it can sometimes be advantageous to access components to carry out each of these steps separately. NDSolve ...