Arithmetic
Return the smallest integer not less than X.
Sort the numbers Z into complex conjugate pairs ordered by increasing
real part.
Calculates the discrete Laplace operator.
Compute the exponential of X.
Compute exp (X) - 1 accurately in neighbourhood of zero.
Return prime factorization of Q.
Return the factorial of N.
Truncate X toward zero.
Return the largest integer not greater than X.
Compute the floating point remainder of dividing X by Y using the C
library function `fmod'.
If a single argument is given then compute the greatest common divisor
of the elements of this argument.
Calculates the gradient.
Compute square-root of the squares of X and Y element-by-element.
Compute the least common multiple of the elements of X, or the list of
all the arguments.
Compute the natural logarithm for each element of X.
Compute log (1 + X) accurately in neighbourhood of zero.
Compute the base-10 logarithm for each element of X.
Compute the base-2 logarithm for each element of X.
For a vector argument, return the maximum value.
For a vector argument, return the minimum value.
Compute modulo function.
If X is a scalar, returns the first integer N such that 2^n >= abs (x).
Compute the nth root of X, returning real results for real components
of X.
With one argument, computes 2 .
Return all primes up to N.
Return the real natural logarithm of X.
Return the element by element power operator.
Return the real sqrt of X.
Return the remainder of `X / Y', computed using the expression
Return the integer nearest to X.
Return the integer nearest to X.
Compute the "signum" function, which is defined as
Compute the square root of X.
Compute the magnitude of Z, defined as |Z| = `sqrt (x^2 + y^2)'.
Compute the argument of Z, defined as THETA = `atan (Y/X)'.
Return the complex conjugate of Z, defined as `conj (Z)' = X - IY.
Return the imaginary part of Z as a real number.
Return the real part of Z.
Compute the sine of each element of X.
Compute the cosine of each element of X.
Compute tangent of each element of X.
Compute the secant of each element of X.
Compute the cosecant of each element of X.
Compute the cotangent of each element of X.
Compute the inverse sine of each element of X.
Compute the inverse cosine of each element of X.
Compute the inverse tangent of each element of X.
Compute the inverse secant of each element of X.
Compute the inverse cosecant of each element of X.
Compute the inverse cotangent of each element of X.
Compute the hyperbolic sine of each element of X.
Compute the hyperbolic cosine of each element of X.
Compute hyperbolic tangent of each element of X.
Compute the hyperbolic secant of each element of X.
Compute the hyperbolic cosecant of each element of X.
Compute the hyperbolic cotangent of each element of X.
Compute the inverse hyperbolic sine of each element of X.
Compute the inverse hyperbolic cosine of each element of X.
Compute the inverse hyperbolic tangent of each element of X.
Compute the inverse hyperbolic secant of each element of X.
Compute the inverse hyperbolic cosecant of each element of X.
Compute the inverse hyperbolic cotangent of each element of X.
Compute atan (Y / X) for corresponding elements of Y and X.
Compute the sine of each element of X.
Compute the cosine of an angle in degrees.
Compute the tangent of an angle in degrees.
Compute the secant of an angle in degrees.
Compute the cosecant of an angle in degrees.
Compute the cotangent of an angle in degrees.
Compute the inverse sine of an angle in degrees.
Compute the inverse cosine of an angle in degrees.
Compute the inverse tangent of an angle in degrees.
Compute inverse secant in degrees.
Compute the inverse cosecant of an angle in degrees.
Compute the inverse cotangent of an angle in degrees.
Sum of elements along dimension DIM.
Product of elements along dimension DIM.
Cumulative sum of elements along dimension DIM.
Cumulative product of elements along dimension DIM.
Sum of squares of elements along dimension DIM.
Create an array by accumulating the elements of a vector into the
positions defined by their subscripts.
Compute Bessel or Hankel functions of various kinds:
Compute Airy functions of the first and second kind, and their
derivatives.
For real inputs, return the Beta function,
Return the incomplete Beta function,
Return the log of the Beta function,
Return the binomial coefficient of N and K, defined as
Computes the error function,
Computes the complementary error function, `1 - erf (Z)'.
Computes the inverse of the error function.
Computes the Gamma function,
Compute the normalized incomplete gamma function,
Compute the Legendre function of degree N and order M = 0 .
Return the natural logarithm of the gamma function of X.
Computes the vector cross product of the two 3-dimensional vectors X
and Y.
Return the commutation matrix K(m,n) which is the unique M*N by M*N
matrix such that K(m,n) * vec(A) = vec(A') for all m by n matrices
A.
Return the duplication matrix Dn which is the unique n^2 by n*(n+1)/2
matrix such that Dn vech (A) = vec (A) for all symmetric n by n
matrices A.
Transform cartesian to polar or cylindrical coordinates.
Transform polar or cylindrical to cartesian coordinates.
Transform cartesian to spherical coordinates.
Transform spherical to cartesian coordinates.
Return a matrix or N-dimensional array whose elements are all equal to
the pure imaginary unit, defined as `sqrt (-1)'.
Return a matrix or N-dimensional array whose elements are all Infinity.
Return a matrix or N-dimensional array whose elements are all NaN (Not
a Number).
Return a matrix or N-dimensional array whose elements are all equal to
the ratio of the circumference of a circle to its diameter.
Return a matrix or N-dimensional array whose elements are all equal to
the base of natural logarithms.
Return a matrix or N-dimensional array whose elements are all eps, the
machine precision.
Return a matrix or N-dimensional array whose elements are all equal to
the largest floating point number that is representable.
Return a matrix or N-dimensional array whose elements are all equal to
the smallest normalized floating point number that is representable.