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what are imaginary numbers used for

What Are Real-Life Uses of Imaginary Numbers?
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Apr 02, 2020 · According to the university of Toronto, there are a variety of uses for imaginary numbers in the real world, most notably in the fields of electrical engineering and measuring natural phenomena. An electromagnetic field, for example, requires imaginary numbers to measure because the strength of the field is determined by both electrical and magnetic components that must be combined into a single complex imaginary number to get an accurate measurement.
Imaginary Numbers - mathsisfun.com
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Imaginary Numbers are Useful Complex Numbers Imaginary numbers become most useful when combined with real numbers to make complex numbers like 3+5i or 6−4i
What Are Imaginary Numbers Used For? (7 Examples) – JDM ...
https://jdmeducational.com/what-are-imaginary-numbers-used-for-7-examples
Imaginary numbers are a vital part of complex numbers, which are used in various topics including: evaluating integrals in calculus, second order differential equations, AC calculations in electricity, Fourier series, the Mandelbrot set, the quadratic formula, rotations, and vectors.
Imaginary number - Wikipedia
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An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i2 = −1.
What Are Real-Life Uses of Imaginary Numbers?
https://www.reference.com/world-view/real-life-uses-imaginary-numbers...
02.04.2020 · According to the university of Toronto, there are a variety of uses for imaginary numbers in the real world, most notably in the fields of electrical engineering and measuring natural phenomena. An electromagnetic field, for example, requires imaginary numbers to measure because the strength of the field is determined by both electrical and magnetic components that …
What Are Imaginary Numbers? | Live Science
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Jan 22, 2014 · Imaginary numbers, also called complex numbers, are used in real-life applications, such as electricity, as well as quadratic equations. In quadratic planes, imaginary numbers show up in equations...
How are imaginary numbers useful? - Quora
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Imaginary numbers are extensions of the Real number field that allow us to solve equations of the form x^2+c=0 where c is a positive number. They are extremely ...
What use are imaginary numbers in the real world? Do they ...
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They are of enormous use in applied maths and physics. Complex numbers (the sum of real and imaginary numbers) occur quite naturally in the study of quantum ...
The (Imaginary) Numbers at the Edge of Reality - Quanta ...
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As such they're used a lot in video games / cg animation, robotics, spaceflight, and the first practical use of them may have been in missile ...
What use are imaginary numbers in the real world? Do they ...
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Whilst being whimsical for an eccentric mathematician, imaginary numbers can be very useful for solving engineering problems. On example is if you have a pendulum swinging, it starts to slow down...
Real Life Application Of Complex Numbers - Issuu
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So what is an imaginary number? · A common visualisation of complex numbers is the use of Argand Diagrams. · Suppose a pianist is recording in a music studio.
What Are Imaginary Numbers? | Live Science
https://www.livescience.com/42748-imaginary-numbers.html
22.01.2014 · Imaginary numbers, also called complex numbers, are used in real-life applications, such as electricity, as well as quadratic equations.In quadratic planes, imaginary numbers show up …
What Are Imaginary Numbers? - Science | HowStuffWorks
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"Due to their relation with trigonometric functions, they are useful for describing, for example, periodic functions," Somma says via email. " ...
What use are imaginary numbers in the real world? Do they ...
https://www.theguardian.com/notesandqueries/query/0,5753,-18864,00.html
15.12.2021 · Imaginary, or complex, numbers aren't much use when adding up your shopping bill or working out your tax, (on second thoughts...) but …
What Are Imaginary Numbers Used For? (7 Examples) – JDM ...
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Imaginary numbers are necessary for complex numbers, which are used for a variety of applications, including: Calculus – evaluating some integrals. Differential Equations – solution of second order differential equations. Electricity – calculations in AC (alternating current) electronics.