tf.math.exp

TensorFlow 1 version

Computes exponential of x element-wise. \(y = e^x\).

tf.math.exp(
    x, name=None
)

This function computes the exponential of every element in the input tensor. i.e. exp(x) or e^(x), where x is the input tensor. e denotes Euler's number and is approximately equal to 2.718281. Output is positive for any real input.

x = tf.constant(2.0)
tf.math.exp(x) ==> 7.389056

x = tf.constant([2.0, 8.0])
tf.math.exp(x) ==> array([7.389056, 2980.958], dtype=float32)

For complex numbers, the exponential value is calculated as follows:

e^(x+iy) = e^x * e^iy = e^x * (cos y + i sin y)

Let's consider complex number 1+1j as an example. e^1 * (cos 1 + i sin 1) = 2.7182818284590 * (0.54030230586+0.8414709848j)

x = tf.constant(1 + 1j)
tf.math.exp(x) ==> 1.4686939399158851+2.2873552871788423j