Formula plotting-special symbols
From Algebra.Com's Help
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.
- The infinity symbol is entered as 'infinity'.
- 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 )
- N-th degree roots are entered by saying
root( degree, argument )
For example, root( 3, x ) is the cubic root of x.
- matrices are discussed on this page.
- limit is entered using the "lim" notation:
lim( x->infinity, 1/x ) df/dx = lim( DELTA->0, (f(x DELTA)-f(x))/DELTA) )
- Systems of equations are entered using the system notation:
system( equation1, equation2, ... )
Example:
system( 2x-y=3, 3x y=6 )