Wolfram Mathematica 8.0.4

Version of implementation Wolfram Mathematica of programming language Wolfram Mathematica

A version of Wolfram Mathematica, released on October 26, 2011.

Main changes:

  • support for CDF (Computable Data Format), meant for interactive data visualization.
  • system is tested with Mac OS X Lion.
  • performance improvement of KLM library and quotation functions.
  • memory usage improvement when using Share with large amounts of data.
  • new syntax highlight warns about using Module variable in Dynamic.
  • improved saving of unnamed Notebook on Linux.

Links:

Examples:

Factorial - Wolfram Mathematica (441):

This example uses recursive factorial definition. The first line defines Fact function. Note that the names of function arguments must have an underscore _ appended to them. 

Fact[n_] := If[n == 0, 1, Fact[n - 1]*n];
For[i = 0, i <= 16, i++, Print[i, "! = ", Fact[i]]];

Quadratic equation - Wolfram Mathematica (443):

After accepting user input we define variable y which is a quadratic equation with the given coefficients. Since x is not defined yet, it stays a variable — for example, Print[y] will output the notation of the equation c + b x + a x^2 (with c, b and a replaced with values entered by the user). Reduce calculates the values of the variables which satisfy the condition “equation value equals zero”. 

a = Input["Input a", 0];
b = Input["Input b", 0];
c = Input["Input c", 0];
y = a*x^2 + b*x + c;
Print[Reduce[y == 0]];

Hello, World! - Wolfram Mathematica (438):

Evaluation of this expression results in a string “Hello, World!” itself; since it is not followed by a semicolon, it will be printed as a separate Out, which is not always convenient. 

"Hello, World!"

Hello, World! - Wolfram Mathematica (439):

Print function outputs its argument(s) to the main output stream. Streams can nest, so for convenience it’s recommended to to use a single stream for all output throughout the program. 

Print["Hello, World!"];

Factorial - Wolfram Mathematica (440):

This example uses built-in factorial function !.
Do is one of the ways to run a loop — it evaluates its first argument for a sequence of numbers defined by the second argument. In this case it’s all values of i from 0 to 16, inclusive, with step of 1. 

Do[Print[i, "! = ", i!] , {i, 0, 16, 1}]

Fibonacci numbers - Wolfram Mathematica (442):

Print always outputs a newline after the output, so to prints the numbers in a single line, one has to accumulate them into a string and print it. <> is concatenation operator, it works only on strings, so the result of Fibonacci call must be converted to string explicitly using ToString function. 

msg = "";
Do[msg = msg <> ToString[Fibonacci[i]] <> ", " , {i, 16} ];
Print[msg, "..."];