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Imaginary Part শব্দের বাংলা অর্থ: কাল্পনিক অংশ
Imaginary Part Meaning In Bengali কাল্পনিক অংশ
Imaginary Part
Definition
1) In mathematics, the imaginary part of a complex number is the coefficient of the imaginary unit 'i'. For example, in the complex number 3 + 4i, the imaginary part is 4i.
2) In the context of signals and systems, the imaginary part represents the component of a complex signal that is out of phase with the real part, often denoting a sinusoidal function with a phase difference of 90 degrees.
3) In the field of physics, the imaginary part can be used to represent various physical quantities such as the imaginary part of the wavefunction in quantum mechanics, or the imaginary part of the impedance in electrical circuits.
Examples
Imaginary Part Example in a sentence
1) The complex number 3 + 4i has an imaginary part of 4.
2) In the equation z = 5 + 2i, the imaginary part is 2i.
3) To find the imaginary part of a complex number, look at the coefficient of the imaginary unit.
4) The imaginary part of the square root of -1 is 1.
5) Complex numbers can be expressed as a real part and an imaginary part.
6) When graphing complex numbers, the real part is plotted on the x-axis and the imaginary part on the y-axis.
7) The imaginary part of the complex conjugate of a number is the negative of the original number's imaginary part.
8) Adding two complex numbers involves combining their real parts and imaginary parts separately.
9) Multiplying complex numbers involves multiplying the real parts and the imaginary parts separately.
10) The imaginary part of a complex number is crucial in solving many mathematical problems.
Part of Speech
Imaginary Part (Noun)
Synonyms
Encyclopedia
In mathematics, the imaginary part of a complex number is the coefficient of the imaginary unit 'i'. For example, in the complex number 3 + 4i, the imaginary part is 4i.
In the context of signals and systems, the imaginary part represents the component of a complex signal that is out of phase with the real part, often denoting a sinusoidal function with a phase difference of 90 degrees.
In the field of physics, the imaginary part can be used to represent various physical quantities such as the imaginary part of the wavefunction in quantum mechanics, or the imaginary part of the impedance in electrical circuits.
