Home - News ( United States | United Kingdom | Italy | Germany ) - Football scores

Showing content from https://www.tutorialspoint.com/python/python_cmath_e_constant.htm below:

Python cmath.e Constant

The Python cmath.e constant returns Euler's number (e = 2.718281828459045). It is a predefined value commonly used in mathematical calculations, and every calculation has its own individual exponential growth, such as compound interest, population growth, and other engineering problems.

Euler's constant can't be expressed as a fraction because it is an irrational number, and its decimal representation goes on infinite without repeating.

Following is the basic syntax of the Python cmath.e constant −

cmath.e

This constant returns the value of mathematical constant e.

In the below example, we are using the Python cmath.e constant to calculate the compound interest. It will be issued on the principal amount over a specific period of time.

This involves applying the formula for compound interest with continuous compounding, where the Euler's number is raised to the power of the interest rate multiplied by time.

import cmath
p = 2000 #principal
r = 0.03 #rate
t = 6    #time
compound_interest = p * cmath.e ** (r * t)
print("The compound interest after", t, "year is:", compound_interest)

The result will be obtained as follows −

The compound interest after 6 year is: 2394.4347262436204

Here, we are calculating the exponential growth of a quality over time using Euler's number (e). This is to compute the final amount after a specific period of time, providing the initial amount, growth rate, and time, using cmath.e Constant.

import cmath
x = 40    #initial_amount
y = 0.4   #growth_rate
t = 4     #time
result = x * cmath.e ** (y * t)
print("The final amount after", t, "years of exponential growth is:", result)

The output obtained is as follows −

The final amount after 4 years of exponential growth is: 198.1212969758046

Here, we are calculating the probability density at a specified point "x" for a standard distribution using cmath.e constant.

import cmath
x = 2
mu = 0
sigma = 1
probability_density = (1 / (cmath.sqrt(2 * cmath.pi) * sigma)) * cmath.e ** (-0.5 * ((x - mu) / sigma) ** 2)
print("The probability density at x =", x, "for a standard normal distribution is:", probability_density)

We will get the output as shown below &minnus;

The probability density at x = 2 for a standard normal distribution is: (0.05399096651318806+0j)

python_modules.htm

RetroSearch is an open source project built by @garambo | Open a GitHub Issue

Search and Browse the WWW like it's 1997 | Search results from DuckDuckGo

HTML: 3.2 | Encoding: UTF-8 | Version: 0.7.4