- #1
newton1
- 152
- 0
actually what is complex number...
i know it's root of the -1
but how can we imagine the kind of number exist??
i know it's root of the -1
but how can we imagine the kind of number exist??
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A complex number is a number that consists of a real and an imaginary part. It can be written in the form a + bi, where a is the real part and bi is the imaginary part, with i representing the square root of -1.
A complex number can be represented in various forms, such as rectangular form (a + bi), polar form (r(cosθ + isinθ)), or exponential form (re^iθ). Each form has its own advantages and is used in different applications.
Complex numbers have many properties, including addition, subtraction, multiplication, and division. They also follow the associative, commutative, and distributive laws, making them useful in solving equations and representing mathematical relationships.
Complex numbers are used in many fields of science, engineering, and mathematics. They are particularly useful in electrical engineering, quantum mechanics, and signal processing. They are also used to solve equations that involve imaginary numbers and to represent real-world phenomena such as alternating currents and harmonic oscillations.
Although complex numbers may seem abstract, they have many real-world applications. They are used to model and analyze systems and phenomena that involve both real and imaginary quantities, such as electrical circuits, sound waves, and quantum mechanics. They also help us understand the behavior of natural phenomena, such as the motion of planets and the growth of populations.