I started studying data analysis in Python for the Python Data Analysis Exam. Today, I studied the basics of functions, statistics, and probability by reading a textbook. I also plotted some graphs using Python.

• Exponential function:

  • f(x) = e^x

• SIgmoid function

  • f(x) = 1 / (1 + e^-x)

• Vector (example in 2D)

  • v= [x, y]

• Logarithmic function

  • f(x) = log_10(x) : common logarithmic
  • f(x) = ln(x) : (natural logarithmic, base e)

• Trigonometric function (based on a right triangle or unit circle)

  • f(x) = sin(x) (sine)
  • f(x) = cos(x) (cosine)
  • f(x) = tan(x) (tangent = sin(x) / cos(x))

import numpy as np


def exponential(x):
    return np.exp(x)


def sigmoid(x):
    return 1 / (1 + np.exp(-x))


def log(x):
    return np.log(x), np.log2(x), np.log10(x)


def sin(x):
    return np.sin(x)


def cos(x)
    return np.cos(x)


def tan(x):
    return np.tan(x)

memo:

Here are the main inverse trigonometric functions in NumPy:

np.arcsin(x) — inverse sine (arcsin)

np.arccos(x) — inverse cosine (arccos)

np.arctan(x) — inverse tangent (arctan)

np.degrees(x) — converts radians to degrees

np.radians(x) — converts degrees to radians

import numpy as np

x = 0.5
angle_rad = np.arcsin(x)
angle_deg = np.degrees(angle_rad)

print(f"arcsin({x}) = {angle_rad:.2f} radians or {angle_deg:.2f} degrees")