Difference between revisions of "Formula plotting-special symbols"

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Click [http://www.algebra.com/services/rendering/regression.mpl?f=special.txt here for examples] to see how special symbols are used. Examples are accompanied by source code and are rather self explanatory.
 
Click [http://www.algebra.com/services/rendering/regression.mpl?f=special.txt here for examples] to see how special symbols are used. Examples are accompanied by source code and are rather self explanatory.
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 +
Special symbols refer to math elements that are displayed by locating formula elements in peculiar ways. Regular functions like sin(x) are not mentioned here. Only things that are plotted in a special ways, like integrals and logarithms, are discussed here.
  
 
* '''Sums''' are entered using a "sum" function
 
* '''Sums''' are entered using a "sum" function
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   log( 2, 8 ) = 3
 
   log( 2, 8 ) = 3
 
   log( xy ) = log( x ) + log( y )
 
   log( xy ) = log( x ) + log( y )
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* '''square roots''' are entered using 'sqrt'. Example
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  sqrt( b^2-4ac )
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* '''matrices''' ere entered using the 'matrix' symbol:
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  matrix( dimX, dimY, elements... )
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dimX and dimY are dimensions of the matrix, after that there should be dimX*dimY elements, in rows.
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For example, 2x3 matrix
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  1 2
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  3 4
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  5 6
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would be entered as
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  matrix( 2, 3,
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    1, 2,
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    3, 4,
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    5, 6
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  )
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 +
(note that newlines in formulas are allowed and are ignored by my system).

Revision as of 10:25, 8 July 2005


Click here for examples to see how special symbols are used. Examples are accompanied by source code and are rather self explanatory.

Special symbols refer to math elements that are displayed by locating formula elements in peculiar ways. Regular functions like sin(x) are not mentioned here. Only things that are plotted in a special ways, like integrals and logarithms, are discussed here.

  • Sums are entered using a "sum" function
 sum( from, to, expression )   <-- sum with limits
 sum( expression )             <-- sum without limits

Example:

 e=sum( i=0, N, 1/i! )
 sum( 1/i ) = infinity
  • Integrals are similar to sums and are entered using the 'int' symbol
 int( expression, dx, from, to )   <- integral with limits
 int( expression, dx )             <- integral without limits (undetermined)

Example:

 int( 1/x^2, dx, 1, infinity )
 int( e^(x^2/2), dx )
  • greek letters are entered using their common English names. Lowercase names mean lowercase greek letters, uppercase names mean uppercase greek letters. Example: epsilon, EPSILON, pi, PI. See examples link in the first paragraph.
  • logarithms are entered using either base and power, or just power; Examples:
 log( 2, 8 ) = 3
 log( xy ) = log( x ) + log( y )
  • square roots are entered using 'sqrt'. Example
 sqrt( b^2-4ac )
  • matrices ere entered using the 'matrix' symbol:
 matrix( dimX, dimY, elements... )

dimX and dimY are dimensions of the matrix, after that there should be dimX*dimY elements, in rows.

For example, 2x3 matrix

 1 2 
 3 4
 5 6

would be entered as

 matrix( 2, 3, 
   1, 2, 
   3, 4,
   5, 6 
 )

(note that newlines in formulas are allowed and are ignored by my system).