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Why are imaginary numbers used in electronic systems control systems and physics?
Mathematics is beautiful in itself. Back in the 1700s and later, mathematicians studied "imaginary" numbers (numbers that involve a factor of the square root of -1) knowing that they didn't describe anything "real", the way "real numbers" do. But when beauty can be melded to practicality, things get REALLY interesting. It turns out that you can use imaginary numbers and "complex numbers" (which have a "real" component and an "imaginary" component) to describe the way radiation and electromagnetic fields behave.
Who discovered complex numbers in mathematics?
That's difficult to say. Rafael Bombelli defined an imaginary number in 1572, but Rene Descartes actually gave the term imaginary. Nobody seemed to have much use for them until the work of Euler and Gauss in the 1700's and 1800's. This information I got from the Wikipedia article on Imaginary Numbers.
Can a complex number be imaginary?
Yes, imaginary numbers are a subset of complex numbers.
What is the difference between imaginary numbers and complex numbers?
No difference. The set of complex numbers includes the set of imaginary numbers.
What is 3i in mathematics?
The "i" in 3i means the number is imaginary.
What number is the opposite of 55.7?
In mathematics there are real and imaginary numbers. Real numbers include 55.7 as a tangible quantity, The imaginary and opposite number is (a negative or minus) -55.7.
What are the roots of complex numbers in mathematics?
See the answer to the related question: 'How do you solve the power of an imaginary number?' (Link below)
How do you find the square root of negative numbers?
For most school mathematics, negative numbers do not have square roots. This is because a negative number multiplied by itself is a negative times a negative and so is positive. When (if) you study advanced mathematics, you will learn that there is a solution and this falls within the realms of complex mathematics and imaginary numbers.
Why are imaginary numbers used in electronic systems control systems and physics?
Mathematics is beautiful in itself. Back in the 1700s and later, mathematicians studied "imaginary" numbers (numbers that involve a factor of the square root of -1) knowing that they didn't describe anything "real", the way "real numbers" do. But when beauty can be melded to practicality, things get REALLY interesting. It turns out that you can use imaginary numbers and "complex numbers" (which have a "real" component and an "imaginary" component) to describe the way radiation and electromagnetic fields behave.
What real number is less than -1?
Many options - e.g. -2"Real number" means all the numbers we know, including positive and negative numbers.The only numbers that are not included are "imaginary numbers" - numbers that have an imaginary part i (used only i physics or high mathematics).See real-number
Are imaginary numbers irrational numbers?
No. Irrational numbers are real numbers, therefore it is not imaginary.
Who discovered complex numbers in mathematics?
That's difficult to say. Rafael Bombelli defined an imaginary number in 1572, but Rene Descartes actually gave the term imaginary. Nobody seemed to have much use for them until the work of Euler and Gauss in the 1700's and 1800's. This information I got from the Wikipedia article on Imaginary Numbers.
Which of these sets of numbers is not a subset of the real numbers irrational integer rational and imaginary?
Imaginary numbers are not a subset of the real numbers; imaginary means not real.
Can a complex number be imaginary?
Yes, imaginary numbers are a subset of complex numbers.
What is the difference between imaginary numbers and complex numbers?
No difference. The set of complex numbers includes the set of imaginary numbers.
What is 3i in mathematics?
The "i" in 3i means the number is imaginary.
Is the imaginary unit 8i irrational?
No, it is imaginary. Irrational numbers are a subset of real numbers Real numbers and imaginary numbers are sets without any overlap.
