The following mathematical functions are available:
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Operators: plus, minus, multiply and divide |
+ - * /
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Power: Raise the preceding expression to the power of the following one |
^
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Square root |
sqrt(t)
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Log base 10, log base a: Where "a" is a numeric value |
log(t) log(t, a)
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Power e: Raises e to the given power |
exp(t)
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Natural log |
ln(t)
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Value Pi: 3.1415926545898 |
pi
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Trigonometric functions: cosine, sine, tangent, secant, cosecant, cotangent |
cos(t) sin(t) tan (t) sec(t) csc(t) cot(t) |
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Hyperbolic functions |
cosh(t) sinh(t) tanh(t) sech(t) csch(t) coth(t) |
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Arc trigonometric functions |
arccos(t) arcsin(t) arctan(t) arcsec(t) arccsc(t) arccot(t)
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Arc hyperbolic functions |
arccosh(t) arcsinh(t) arctanh(t) arcsech(t) arccsch(t) arccoth(t) |
These functions can be combined in any way to form more complex mathematical expressions.
When using trigonometric functions, it is better and easier to parameterize the curve between rational values and use pi in the expression than to parameterize say between 0 and 2 pi.
Care should be taken when using functions that are undefined or infinite at certain values, for example, tan (pi/2).
Examples
A parabolic curve:
X: t
Y: t^2 - 4
Z: 0
Range: -3 to 3
A hyperbolic paraboloid (saddle surface):
X: u
Y: v
Z: 0.25 * (u^2 - v^2)
u range: -4 to 4
v range: -4 to 4
See also