Complex numbers in nature

Are complex numbers naturally ordered?
Ordering.
Unlike the real numbers, there is no natural ordering of the complex numbers.
In particular, there is no linear ordering on the complex numbers that is compatible with addition and multiplication – the complex numbers cannot have the structure of an ordered field..
Are there complex numbers in nature?
Complex numbers (the sum of real and imaginary numbers) occur quite naturally in the study of quantum physics.
They're useful for modelling periodic motions (such as water or light waves) as well as alternating currents..
How do imaginary numbers exist in real life?
While it is not a real number — that is, it cannot be quantified on the number line — imaginary numbers are "real" in the sense that they exist and are used in math.
Imaginary numbers, also called complex numbers, are used in real-life applications, such as electricity, as well as quadratic equations..
What is the point of imaginary numbers in real life?
Imaginary numbers can also be applied to signal processing, which is useful in cellular technology and wireless technologies, as well as radar and even biology (brain waves).
Essentially, if what is being measured relies on a sine or cosine wave, the imaginary number is used..
Why are complex numbers necessary in the real world?
Complex numbers can also represent electromagnetic waves and electric currents, so they are essential in the field of electronics and telecommunications.
Its mathematical formula is a + b i, where a and b are real numbers, and i is the imaginary number..
Why do complex numbers appear in physics?
Complex numbers are broadly used in physics, normally as a calculation tool that makes things easier due to Euler's formula.
In the end, it is only the real component that has physical meaning or the two parts (real and imaginary) are treated separately as real quantities..
Every nonzero complex number has a multiplicative inverse.
This makes the complex numbers a field that has the real numbers as a subfield.
The complex numbers also form a real vector space of dimension two, with {1, i} as a standard basis.
Ordering.
Unlike the real numbers, there is no natural ordering of the complex numbers.
In particular, there is no linear ordering on the complex numbers that is compatible with addition and multiplication – the complex numbers cannot have the structure of an ordered field.

Oct 16, 2016Complex numbers are not found in reality, but that is not because so-called Imaginary numbers do not exist. It is because no numbers are found in reality. In Do imaginary numbers actually exist, and is there any physical Are imaginary numbers only a mathematical tool or they are - QuoraWhat is the difference between real numbers, complex - QuoraIn which branch of mathematics are complex numbers most useful?More results from www.quora.com

Oct 16, 2016Complex numbers are not found in reality, but that is not because so-called Imaginary numbers do not exist. It is because no numbers are found in reality. In Do imaginary numbers actually exist, and is there any physical Are imaginary numbers only a mathematical tool or they are - QuoraIs the imaginary number in nature? - QuoraWhat are complex numbers and what is its use in mathematics?More results from www.quora.com

Complex numbers (the sum of real and imaginary numbers) occur quite naturally in the study of quantum physics. They're useful for modelling periodic motions (such as water or light waves) as well as alternating currents.

Complex numbers in nature

Are complex numbers naturally ordered?

Are there complex numbers in nature?

How do imaginary numbers exist in real life?

What is the point of imaginary numbers in real life?

Why are complex numbers necessary in the real world?

Why do complex numbers appear in physics?