numpygeomspace

numpy.geomspace is a function in the NumPy library, a collection of mathematical and scientific functions in Python. It is used to generate a sequence of numbers spaced out according to a geometric sequence, where each term is a fixed multiple of the previous term.

The basic syntax of numpy.geomspace is geomspace(start, stop, num), where start is the first term in the sequence, stop is the last term in the sequence, and num is the number of terms in the sequence. The function returns a NumPy array of the generated terms.

The geometic progression is generated such that the ratio between each consecutive term is stop/start raised to the power of (1/(num-1)). This means that the terms are spread out in a non-uniform way, with the first term closer to zero and the last term closer to stop.

For example, numpy.geomspace(1, 100, 5) returns the array [1. , 3.16227766, 10. , 31.6227766, 100. ], demonstrating that the function can be used to generate a sequence of numbers with varying intervals.

This function can be useful in a variety of applications, including linear algebra, signal processing, and data analysis. It provides a flexible way to generate geometric sequences, which can be used to model a wide range of phenomena in science and engineering.

The function can also be used with the logspace function to generate a geometric sequence with consciousness to the exponent, the function[y = numpy.geomspace(start,stop)]