https://docs.scipy.org/doc/numpy/reference/routines.math.html

Trigonometric functions（三角函数）

函数 描述
sin(x, /[, out, where, casting, order, …]) 正弦, element-wise.
cos(x, /[, out, where, casting, order, …]) 余弦 element-wise.
tan(x, /[, out, where, casting, order, …]) 正切 element-wise.
arcsin(x, /[, out, where, casting, order, …]) 反正弦, element-wise.
arccos(x, /[, out, where, casting, order, …]) 反余弦, element-wise.
arctan(x, /[, out, where, casting, order, …]) 反正切, element-wise.
hypot(x1, x2, /[, out, where, casting, …]) Given the “legs” of a right triangle, return its hypotenuse.
arctan2(x1, x2, /[, out, where, casting, …]) Element-wise arc tangent of x1/x2 choosing the quadrant correctly.
degrees(x, /[, out, where, casting, order, …]) 弧度转角度
radians(x, /[, out, where, casting, order, …]) 角度转弧度
unwrap(p[, discont, axis]) Unwrap by changing deltas between values to 2*pi complement.
deg2rad(x, /[, out, where, casting, order, …]) Convert angles from degrees to radians.
rad2deg(x, /[, out, where, casting, order, …]) Convert angles from radians to degrees.

Hyperbolic functions（双曲线函数）

函数 描述
sinh(x, /[, out, where, casting, order, …]) Hyperbolic sine, element-wise.
cosh(x, /[, out, where, casting, order, …]) Hyperbolic cosine, element-wise.
tanh(x, /[, out, where, casting, order, …]) Compute hyperbolic tangent element-wise.
arcsinh(x, /[, out, where, casting, order, …]) Inverse hyperbolic sine element-wise.
arccosh(x, /[, out, where, casting, order, …]) Inverse hyperbolic cosine, element-wise.
arctanh(x, /[, out, where, casting, order, …]) Inverse hyperbolic tangent element-wise.

Rounding（约数）

函数 描述
around(a[, decimals, out]) 约数
round_(a[, decimals, out]) Round an array to the given number of decimals.
rint(x, /[, out, where, casting, order, …]) 取整
fix(x[, out]) 向0取整
floor(x, /[, out, where, casting, order, …]) 向下取整，element-wise.
ceil(x, /[, out, where, casting, order, …]) 向上取整, element-wise.
trunc(x, /[, out, where, casting, order, …]) 截取整数部分，不四舍五入, element-wise.

Sums, products, differences（加法，乘法，区别）

函数 描述
prod(a[, axis, dtype, out, keepdims]) 给定方向相乘
sum(a[, axis, dtype, out, keepdims]) 给定方向相加
nanprod(a[, axis, dtype, out, keepdims]) 乎略缺失值，给定方向相乘
nansum(a[, axis, dtype, out, keepdims]) 乎略缺失值，给定方向相加
cumprod(a[, axis, dtype, out]) 给定方向，累乘
cumsum(a[, axis, dtype, out]) 给定方向，累加
nancumprod(a[, axis, dtype, out]) 乎略缺失值，给定方向，累乘
nancumsum(a[, axis, dtype, out]) 乎略缺失值，给定方向，累加
diff(a[, n, axis]) Calculate the n-th discrete difference along given axis.
ediff1d(ary[, to_end, to_begin]) The differences between consecutive elements of an array.
gradient(f, *varargs, **kwargs) Return the gradient of an N-dimensional array.
cross(a, b[, axisa, axisb, axisc, axis]) Return the cross product of two (arrays of) vectors.
trapz(y[, x, dx, axis]) Integrate along the given axis using the composite trapezoidal rule.

Exponents and logarithms（指数和对数）

函数 描述
exp(x, /[, out, where, casting, order, …]) 指数 y=exy=exy=e^x
expm1(x, /[, out, where, casting, order, …]) Calculate exp(x) - 1 for all elements in the array.
exp2(x, /[, out, where, casting, order, …]) Calculate 2**p for all p in the input array.
log(x, /[, out, where, casting, order, …]) 对数, element-wise.
log10(x, /[, out, where, casting, order, …]) Return the base 10 logarithm of the input array, element-wise.
log2(x, /[, out, where, casting, order, …]) Base-2 logarithm of x.
log1p(x, /[, out, where, casting, order, …]) Return the natural logarithm of one plus the input array, element-wise.
logaddexp(x1, x2, /[, out, where, casting, …]) Logarithm of the sum of exponentiations of the inputs.
logaddexp2(x1, x2, /[, out, where, casting, …]) Logarithm of the sum of exponentiations of the inputs in base-2.

Other special functions（其他特殊函数）

函数 描述
i0(x) Modified Bessel function of the first kind, order 0.
sinc(x) Return the sinc function.

Floating point routines（浮点路线）

函数 描述
signbit(x, /[, out, where, casting, order, …]) Returns element-wise True where signbit is set (less than zero).
copysign(x1, x2, /[, out, where, casting, …]) Change the sign of x1 to that of x2, element-wise.
frexp(x[, out1, out2], / [[, out, where, …]) Decompose the elements of x into mantissa and twos exponent.
ldexp(x1, x2, /[, out, where, casting, …]) Returns x1 * 2**x2, element-wise.
nextafter(x1, x2, /[, out, where, casting, …]) Return the next floating-point value after x1 towards x2, element-wise.
spacing(x, /[, out, where, casting, order, …]) Return the distance between x and the nearest adjacent number.

Arithmetic operations（数学函数）

函数 描述
add(x1, x2, /[, out, where, casting, order, …]) 相加element-wise.
reciprocal(x, /[, out, where, casting, …]) 倒数, element-wise.
negative(x, /[, out, where, casting, order, …]) 相反数, element-wise.
multiply(x1, x2, /[, out, where, casting, …]) 乘积 element-wise.
divide(x1, x2, /[, out, where, casting, …]) 触发 element-wise.
power(x1, x2, /[, out, where, casting, …]) 幂运算, element-wise.
subtract(x1, x2, /[, out, where, casting, …]) 相减, element-wise.
true_divide(x1, x2, /[, out, where, …]) Returns a true division of the inputs, element-wise.
floor_divide(x1, x2, /[, out, where, …]) Return the largest integer smaller or equal to the division of the inputs.
float_power(x1, x2, /[, out, where, …]) 幂运算, element-wise.
fmod(x1, x2, /[, out, where, casting, …]) 取余数，element-wise
mod(x1, x2, /[, out, where, casting, order, …]) Return element-wise remainder of division.
modf(x[, out1, out2], / [[, out, where, …]) Return the fractional and integral parts of an array, element-wise.
remainder(x1, x2, /[, out, where, casting, …]) Return element-wise remainder of division.
divmod(x1, x2[, out1, out2], / [[, out, …]) Return element-wise quotient and remainder simultaneously.

Handling complex numbers（处理复杂的数字）

函数 描述
angle(z[, deg]) Return the angle of the complex argument.
real(val) Return the real part of the complex argument.
imag(val) Return the imaginary part of the complex argument.
conj(x, /[, out, where, casting, order, …]) Return the complex conjugate, element-wise.

Miscellaneous（杂项）

函数 描述
convolve(a, v[, mode]) Returns the discrete, linear convolution of two one-dimensional sequences.
clip(a, a_min, a_max[, out]) Clip (limit) the values in an array.
sqrt(x, /[, out, where, casting, order, …]) Return the positive square-root of an array, element-wise.
cbrt(x, /[, out, where, casting, order, …]) Return the cube-root of an array, element-wise.
square(x, /[, out, where, casting, order, …]) Return the element-wise square of the input.
absolute(x, /[, out, where, casting, order, …]) Calculate the absolute value element-wise.
fabs(x, /[, out, where, casting, order, …]) Compute the absolute values element-wise.
sign(x, /[, out, where, casting, order, …]) Returns an element-wise indication of the sign of a number.
heaviside(x1, x2, /[, out, where, casting, …]) Compute the Heaviside step function.
maximum(x1, x2, /[, out, where, casting, …]) Element-wise maximum of array elements.
minimum(x1, x2, /[, out, where, casting, …]) Element-wise minimum of array elements.
fmax(x1, x2, /[, out, where, casting, …]) Element-wise maximum of array elements.
fmin(x1, x2, /[, out, where, casting, …]) Element-wise minimum of array elements.
nan_to_num(x[, copy]) Replace nan with zero and inf with finite numbers.
real_if_close(a[, tol]) If complex input returns a real array if complex parts are close to zero.
interp(x, xp, fp[, left, right, period]) One-dimensional linear interpolation.

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