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Mathematica utilizes centuries of mathematical development, along with constantly updated methods discovered at Wolfram Research, into a small number of powerful functions and algorithms that are capable of reaching "almost every integral and differential equation of which a closed form can be found." Below are a few examples of various commands used to evaluate...
Article Id: 13584
Category: Basic Features & How To's

CellularAutomaton -- general cellualar automaton in 1D, 2D, ect. TurningMachine -- general Tuning machine in 1D, 2D, ect. SubstitutionSystem — general string, array, etc. substitution system in 1D, 2D, etc. ShiftRegisterSequence — sequence from a linear or nonlinear...
Article Id: 13796
Category: Basic Features & How To's

Mathematica utilizes a conventional approach to functions when setting rules for transformations. Through the same concept, values can be added and set to variables, where the variable is transformed into symbol for that value. This is a simple transformation rule. It assigns the value of 6 to the variable "...
Article Id: 13121
Category: Basic Features & How To's

x=... -- set a variable f[x_]:=... -- define a function that takes any single Assignments: Set (=) -- immediate assignment (right-hand side evaluated immediately) SetDelayed (:=) -- delayed assignment (right-hand side evaluated only when...
Article Id: 13798
Category: Basic Features & How To's

x=v — assign a value (Set) {x,y}={u,v} — assign multiple values {x,y}={y,x} — swap values a[[i]]=v — assign a value to a list/array/expression element x++ ...
Article Id: 19587
Category: Basic Features & How To's

List Set Operations: Tuples Subsets Union Intersection Complement DisjointQ Permutations: Permutations Sort Ordering Signature RandomSample ...
Article Id: 13802
Category: Basic Features & How To's

Solve -- exact solutions to equations and systems NSolve -- general numerical solutions to equations and systems FindRoot -- numerically find local roots of equations DSolve -- exact solutions to differential equations NDSolve -- numerical solutions to differential...
Article Id: 13799
Category: Basic Features & How To's

The MathID is a specific code generated by Mathematica to identify your computer system wiht your Mathematica software. If you have already installed Mathematica onto your computer and entered your password, review the following: To Find Your Specific MathID in Mathematica: 1. To retrieve your MathID, open Mathematica and from...
Article Id: 13340
Category: Basic Features & How To's

Mathematica can process many different formulas of all types, including polynomials containing millions of terms to complex combinations of advanced mathematical functions. It provides transformation and simplification functions that will automatically refer to thousands of rules and algorithms, many of which are original to Wolfram Research. Below are a few examples of various formula...
Article Id: 13548
Category: Basic Features & How To's

Function (&) — specify a pure function (e.g. (#+1)&) #, ##, #name — slots for variables in a pure function Applying Functions to Lists Map (/@) — map across a list:...
Article Id: 19590
Category: Basic Features & How To's