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python imaginary number

Code Crusader answered on December 21, 2022 Popularity 9/10 Helpfulness 4/10

answer python imaginary number

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python imaginary number

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# In Python, you can use the complex type to represent and manipulate complex numbers. A complex number is a number of the form a + bj, where a and b are real numbers and j represents the square root of -1, also known as an imaginary number.

# For example, to create the complex number 3 + 2j, you can use the following code:

z = complex(3, 2)

# You can also use the j suffix to specify the imaginary part of a complex number:

z = 3 + 2j

# To access the real and imaginary parts of a complex number, you can use the real and imag attributes:

real = z.real
imag = z.imag

# You can perform arithmetic operations with complex numbers using standard arithmetic operators, such as +, -, *, and /. For example:

z1 = complex(1, 2)
z2 = complex(2, 3)

z3 = z1 + z2
z4 = z1 - z2
z5 = z1 * z2
z6 = z1 / z2

# You can also use the abs() function to get the magnitude of a complex number, and the cmath module to perform more advanced operations, such as calculating the square root of a complex number.

# For more information on complex numbers and how to work with them in Python, you can refer to the Python documentation: https://docs.python.org/3/library/cmath.html.

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Contributed on Dec 21 2022

Code Crusader

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# Declare a complex number
c = 3 + 4j

# Printing the real and imaginary parts of the complex number
print(c.real)  # Output: 3.0
print(c.imag)  # Output: 4.0

# Addition, subtraction, multiplication, and division with complex numbers
a = 2 + 3j
b = 1 + 2j

# Addition
addition = a + b
print(addition)  # Output: (3+5j)

# Subtraction
subtraction = a - b
print(subtraction)  # Output: (1+1j)

# Multiplication
multiplication = a * b
print(multiplication)  # Output: (-4+7j)

# Division
division = a / b
print(division)  # Output: (1.6-0.2j)

# Accessing modulus and phase of a complex number
import cmath

c = 1 + 1j
modulus = abs(c)
phase = cmath.phase(c)

print(modulus)  # Output: 1.4142135623730951
print(phase)  # Output: 0.7853981633974483

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Contributed on Sep 12 2023

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python imaginary number

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