Unexpected result in the numerical calculation - (invalid value encountered)

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SUMMARY

The discussion centers on an issue encountered when calculating powers of a negative number using NumPy in Python. The user experiences a RuntimeWarning when attempting to compute Q as x raised to the power of y, where x is derived from a logarithmic calculation. The problem arises because NumPy's overload of the exponentiation operator (**) does not support fractional powers of negative numbers. The solution is to convert x to a standard Python float before performing the exponentiation: Q = float(x) ** y.

PREREQUISITES
  • Understanding of Python programming language
  • Familiarity with NumPy library (version 1.21 or later)
  • Knowledge of logarithmic functions and their properties
  • Basic concepts of complex numbers in Python
NEXT STEPS
  • Learn how to handle complex numbers in Python
  • Explore NumPy's mathematical functions and their behaviors
  • Research the differences between Python floats and NumPy data types
  • Investigate error handling in NumPy to manage RuntimeWarnings
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Python developers, data scientists, and anyone working with numerical computations in NumPy who need to understand the implications of using fractional powers with negative numbers.

Arman777
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Code:
   from numpy import log as ln
    z = 3
    k = 2

    x = 1 - ln(1 + z) / ln(1 + k)
    y = 1/5
    print("The x=", x)

    Q = x**y

    print(Q)

The result is

Code:
The x= -0.26185950714291484
    c:\Users\-\Desktop\... RuntimeWarning: invalid value
    encountered in double_scalars
      Q = x**y
    nan

I am having troubling to understand the problem here. It's clear that I can print the x, but I cannot take the power of it.Meanwhile when I write a code like

Code:
 x = -0.26185950714291484
    y = 1/5
    print("The x=", x)
    Q = x**y

    print(Q)

I get

Code:
The x= -0.26185950714291484
    (0.6188299348758349+0.44960626529008196j)

I am literally shocked. I cannot understand what is going on. If I just put the numbers manually I can calculate the result. But if I do them computationally I get an error ?
 
Technology news on Phys.org
When you set x to a numpy result it uses numpy's overload of the ** operator which can't handle fractional powers of negative numbers. You need to convert x to a Python float: Q = float(x) ** y
 
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Likes   Reactions: sysprog, Arman777 and FactChecker
thanks
 

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