Compute the logarithm in base 10 element-wise.
Parameters: | x : array_like
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Returns: | y : ndarray
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Notes
Logarithm is a multivalued function: for each x there is an infinite number of z such that 10**z = x. The convention is to return the z whose imaginary part lies in [-pi, pi].
For real-valued input data types, log10 always returns real output. For each value that cannot be expressed as a real number or infinity, it yields nan and sets the invalid floating point error flag.
For complex-valued input, log10 is a complex analytical function that has a branch cut [-inf, 0] and is continuous from above on it. log10 handles the floating-point negative zero as an infinitesimal negative number, conforming to the C99 standard.
References
[46] | M. Abramowitz and I.A. Stegun, “Handbook of Mathematical Functions”, 10th printing, 1964, pp. 67. http://www.math.sfu.ca/~cbm/aands/ |
[47] | Wikipedia, “Logarithm”. http://en.wikipedia.org/wiki/Logarithm |
Examples
>>> np.log10([1.e-15,-3.])
array([-15., NaN])