Mathematical functions¶
Trigonometric functions¶
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Trigonometric sine, element-wise. |
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Cosine element-wise. |
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Compute tangent element-wise. |
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Inverse sine, element-wise. |
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Trigonometric inverse cosine, element-wise. |
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Trigonometric inverse tangent, element-wise. |
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Given the “legs” of a right triangle, return its hypotenuse. |
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Element-wise arc tangent of |
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Convert angles from radians to degrees. |
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Convert angles from degrees to radians. |
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Unwrap by taking the complement of large deltas with respect to the period. |
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Convert angles from degrees to radians. |
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Convert angles from radians to degrees. |
Hyperbolic functions¶
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Hyperbolic sine, element-wise. |
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Hyperbolic cosine, element-wise. |
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Compute hyperbolic tangent element-wise. |
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Inverse hyperbolic sine element-wise. |
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Inverse hyperbolic cosine, element-wise. |
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Inverse hyperbolic tangent element-wise. |
Rounding¶
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Evenly round to the given number of decimals. |
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Round an array to the given number of decimals. |
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Round elements of the array to the nearest integer. |
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Round to nearest integer towards zero. |
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Return the floor of the input, element-wise. |
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Return the ceiling of the input, element-wise. |
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Return the truncated value of the input, element-wise. |
Sums, products, differences¶
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Return the product of array elements over a given axis. |
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Sum of array elements over a given axis. |
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Return the product of array elements over a given axis treating Not a Numbers (NaNs) as ones. |
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Return the sum of array elements over a given axis treating Not a Numbers (NaNs) as zero. |
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Return the cumulative product of elements along a given axis. |
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Return the cumulative sum of the elements along a given axis. |
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Return the cumulative product of array elements over a given axis treating Not a Numbers (NaNs) as one. |
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Return the cumulative sum of array elements over a given axis treating Not a Numbers (NaNs) as zero. |
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Calculate the n-th discrete difference along the given axis. |
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The differences between consecutive elements of an array. |
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Return the gradient of an N-dimensional array. |
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Return the cross product of two (arrays of) vectors. |
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Integrate along the given axis using the composite trapezoidal rule. |
Exponents and logarithms¶
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Calculate the exponential of all elements in the input array. |
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Calculate |
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Calculate 2**p for all p in the input array. |
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Natural logarithm, element-wise. |
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Return the base 10 logarithm of the input array, element-wise. |
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Base-2 logarithm of x. |
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Return the natural logarithm of one plus the input array, element-wise. |
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Logarithm of the sum of exponentiations of the inputs. |
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Logarithm of the sum of exponentiations of the inputs in base-2. |
Other special functions¶
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Modified Bessel function of the first kind, order 0. |
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Return the normalized sinc function. |
Floating point routines¶
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Returns element-wise True where signbit is set (less than zero). |
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Change the sign of x1 to that of x2, element-wise. |
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Decompose the elements of x into mantissa and twos exponent. |
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Returns x1 * 2**x2, element-wise. |
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Return the next floating-point value after x1 towards x2, element-wise. |
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Return the distance between x and the nearest adjacent number. |
Rational routines¶
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Returns the lowest common multiple of |
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Returns the greatest common divisor of |
Arithmetic operations¶
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Add arguments element-wise. |
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Return the reciprocal of the argument, element-wise. |
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Numerical positive, element-wise. |
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Numerical negative, element-wise. |
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Multiply arguments element-wise. |
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Returns a true division of the inputs, element-wise. |
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First array elements raised to powers from second array, element-wise. |
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Subtract arguments, element-wise. |
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Returns a true division of the inputs, element-wise. |
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Return the largest integer smaller or equal to the division of the inputs. |
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First array elements raised to powers from second array, element-wise. |
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Return the element-wise remainder of division. |
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Return element-wise remainder of division. |
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Return the fractional and integral parts of an array, element-wise. |
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Return element-wise remainder of division. |
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Return element-wise quotient and remainder simultaneously. |
Handling complex numbers¶
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Return the angle of the complex argument. |
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Return the real part of the complex argument. |
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Return the imaginary part of the complex argument. |
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Return the complex conjugate, element-wise. |
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Return the complex conjugate, element-wise. |
Miscellaneous¶
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Returns the discrete, linear convolution of two one-dimensional sequences. |
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Clip (limit) the values in an array. |
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Return the non-negative square-root of an array, element-wise. |
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Return the cube-root of an array, element-wise. |
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Return the element-wise square of the input. |
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Calculate the absolute value element-wise. |
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Compute the absolute values element-wise. |
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Returns an element-wise indication of the sign of a number. |
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Compute the Heaviside step function. |
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Element-wise maximum of array elements. |
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Element-wise minimum of array elements. |
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Element-wise maximum of array elements. |
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Element-wise minimum of array elements. |
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Replace NaN with zero and infinity with large finite numbers (default behaviour) or with the numbers defined by the user using the |
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If input is complex with all imaginary parts close to zero, return real parts. |
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One-dimensional linear interpolation for monotonically increasing sample points. |