Constants — NumPy v2.6.dev0 Manual

NumPy includes several constants:

numpy.e

#

Euler’s number, base of natural logarithms, Napier’s constant.

e=2.71828182845904523536028747135266249775724709369995...

See Also

exp : Exponential function log : Natural logarithm

References

https://en.wikipedia.org/wiki/E_%28mathematical_constant%29

numpy.euler_gamma

#

γ=0.5772156649015328606065120900824024310421...

References

https://en.wikipedia.org/wiki/Euler%27s_constant

numpy.inf

#

IEEE 754 floating point representation of (positive) infinity.

Returns

yfloatA floating point representation of positive infinity.

See Also

isinf : Shows which elements are positive or negative infinity

isposinf : Shows which elements are positive infinity

isneginf : Shows which elements are negative infinity

isnan : Shows which elements are Not a Number

isfinite : Shows which elements are finite (not one of Not a Number, positive infinity and negative infinity)

Notes

NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic (IEEE 754). This means that Not a Number is not equivalent to infinity. Also that positive infinity is not equivalent to negative infinity. But infinity is equivalent to positive infinity.

Examples

>>> importnumpyasnp>>> np.infinf>>> np.array([1])/0.array([inf])numpy.nan

#

IEEE 754 floating point representation of Not a Number (NaN).

Returns

y : A floating point representation of Not a Number.

See Also

isnan : Shows which elements are Not a Number.

isfinite : Shows which elements are finite (not one of Not a Number, positive infinity and negative infinity)

Notes

NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic (IEEE 754). This means that Not a Number is not equivalent to infinity.

Examples

>>> importnumpyasnp>>> np.nannan>>> np.log(-1)np.float64(nan)>>> np.log([-1,1,2])array([ nan, 0. , 0.69314718])numpy.newaxis

#

A convenient alias for None, useful for indexing arrays.

Examples

>>> importnumpyasnp>>> np.newaxisisNoneTrue>>> x=np.arange(3)>>> xarray([0, 1, 2])>>> x[:,np.newaxis]array([[0],[1],[2]])>>> x[:,np.newaxis,np.newaxis]array([[[0]],[[1]],[[2]]])>>> x[:,np.newaxis]*xarray([[0, 0, 0], [0, 1, 2], [0, 2, 4]])Outer product, same as outer(x,y):

>>> y=np.arange(3,6)>>> x[:,np.newaxis]*yarray([[ 0, 0, 0], [ 3, 4, 5], [ 6, 8, 10]])x[np.newaxis,:] is equivalent to x[np.newaxis] and x[None]:

>>> x[np.newaxis,:].shape(1, 3)>>> x[np.newaxis].shape(1, 3)>>> x[None].shape(1, 3)>>> x[:,np.newaxis].shape(3, 1)numpy.pi

#

pi=3.1415926535897932384626433...

References

https://en.wikipedia.org/wiki/Pi