| | |
- acos(...)
acos(x)
Return the arc cosine (measured in radians) of x.
- acosh(...)
acosh(x)
Return the hyperbolic arc cosine (measured in radians) of x.
- argmax(alist)
Return the index of the last occurance of the maximum value in the list.
- argmin(alist)
Return the index of the first occurance of the minimum value in the list.
- asin(...)
asin(x)
Return the arc sine (measured in radians) of x.
- asinh(...)
asinh(x)
Return the hyperbolic arc sine (measured in radians) of x.
- atan(...)
atan(x)
Return the arc tangent (measured in radians) of x.
- atan2(...)
atan2(y, x)
Return the arc tangent (measured in radians) of y/x.
Unlike atan(y/x), the signs of both x and y are considered.
- atanh(...)
atanh(x)
Return the hyperbolic arc tangent (measured in radians) of x.
- ceil(...)
ceil(x)
Return the ceiling of x as a float.
This is the smallest integral value >= x.
- copysign(...)
copysign(x,y)
Return x with the sign of y.
- cos(...)
cos(x)
Return the cosine of x (measured in radians).
- cosh(...)
cosh(x)
Return the hyperbolic cosine of x.
- degrees(...)
degrees(x) -> converts angle x from radians to degrees
- digamma(z)
The digamma function, the logarithmic derivative of the gamma function.
digamma(z) = d/dz ln( gamma(z) )
See: Eric W. Weisstein. "Digamma Function." From MathWorld--
A Wolfram Web Resource. http://mathworld.wolfram.com/DigammaFunction.html
- entropy(pvec, base=2.7182818284590451)
The entropy S = -Sum_i p_i ln p_i
pvec is a frequency vector, not necessarily normalized.
- exp(...)
exp(x)
Return e raised to the power of x.
- fabs(...)
fabs(x)
Return the absolute value of the float x.
- factorial(z)
The factorial function.
factorial(z) == gamma(z+1)
- floor(...)
floor(x)
Return the floor of x as a float.
This is the largest integral value <= x.
- fmod(...)
fmod(x,y)
Return fmod(x, y), according to platform C. x % y may differ.
- frexp(...)
frexp(x)
Return the mantissa and exponent of x, as pair (m, e).
m is a float and e is an int, such that x = m * 2.**e.
If x is 0, m and e are both 0. Else 0.5 <= abs(m) < 1.0.
- fsum(...)
sum(iterable)
Return an accurate floating point sum of values in the iterable.
Assumes IEEE-754 floating point arithmetic.
- gamma(z)
The gamma function. Returns exact results for small integers. Will
overflow for modest sized arguments. Use lngamma(z) instead.
See: Eric W. Weisstein. "Gamma Function." From MathWorld, A Wolfram Web Resource.
http://mathworld.wolfram.com/GammaFunction.html
- hypot(...)
hypot(x,y)
Return the Euclidean distance, sqrt(x*x + y*y).
- incomplete_gamma(a, x)
The 'upper' incomplete gamma function:
oo
-
| -t a-1
incomplete_gamma(a,x) = | e t dt.
|
-
x
In Mathematica, Gamma[a,x].
Note that, very confusingly, the phrase 'incomplete gamma fucntion'
can also refer to the same integral between 0 and x, (the 'lower'
incomplete gamma function) or to the normalized versions,
normalized_incomplete_gamma() )
See: Eric W. Weisstein. "Gamma Function." From MathWorld, A Wolfram Web Resource.
http://mathworld.wolfram.com/IncompleteGammaFunction.html
Bugs :
This implentation is not very accurate for some arguments.
- isinf(...)
isinf(x) -> bool
Checks if float x is infinite (positive or negative)
- isnan(...)
isnan(x) -> bool
Checks if float x is not a number (NaN)
- ldexp(...)
ldexp(x, i) -> x * (2**i)
- lngamma(z)
The logarithm of the gamma function.
- log(...)
log(x[, base]) -> the logarithm of x to the given base.
If the base not specified, returns the natural logarithm (base e) of x.
- log10(...)
log10(x) -> the base 10 logarithm of x.
- log1p(...)
log1p(x)
Return the natural logarithm of 1+x (base e).
The result is computed in a way which is accurate for x near zero.
- log2(x)
Return the base 2 logarithm of x
- modf(...)
modf(x)
Return the fractional and integer parts of x. Both results carry the sign
of x and are floats.
- normalized_incomplete_gamma(a, x)
The upper, incomplete gamma function normalized so that the limiting
values are zero and one.
Q(a,x) = incomplete_gamma(a,x) / gamma(a)
See:
incomplete_gamma()
Bugs :
This implentation is not very accurate for some arguments.
- pow(...)
pow(x,y)
Return x**y (x to the power of y).
- radians(...)
radians(x) -> converts angle x from degrees to radians
- sin(...)
sin(x)
Return the sine of x (measured in radians).
- sinh(...)
sinh(x)
Return the hyperbolic sine of x.
- sqrt(...)
sqrt(x)
Return the square root of x.
- tan(...)
tan(x)
Return the tangent of x (measured in radians).
- tanh(...)
tanh(x)
Return the hyperbolic tangent of x.
- trigamma(z)
The trigamma function, the derivative of the digamma function.
trigamma(z) = d/dz digamma(z) = d/dz d/dz ln( gamma(z) )
See: Eric W. Weisstein. "Digamma Function." From MathWorld--
A Wolfram Web Resource. http://mathworld.wolfram.com/TrigammaFunction.html
- trunc(...)
trunc(x:Real) -> Integral
Truncates x to the nearest Integral toward 0. Uses the __trunc__ magic method.
|