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

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Telephone: 225-578-3375

Fax: 225-578-6400

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