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Jun 9, 2003 · Imaginary numbers can be used to help explain tunnelling, a quantum mechanical process in which, for instance, a particle can spontaneously pass through a barrier. In trying to unify general relativity with quantum mechanics, physicists used a related idea in which they would measure time with imaginary numbers instead of real numbers.
Feb 19, 2011 · I think they are comparable. In fact, I think they could both constitute in-of-themselves collective imaginaries. Islam, or Democracy (and more broadly, Liberal values that underpin democracy) are both 'visions' that can make up a collective imaginary. So, to answer your question--I think your comparison and use of collective imaginary is fair.
Sep 18, 2010 · These numbers are known as complex numbers and have the form a + bi, where a and b are real numbers and i is the imaginary unit. 4. How are complex numbers different from imaginary numbers? Complex numbers include both real and imaginary components, while imaginary numbers only contain the imaginary component.
Nov 20, 2020 · Imaginary numbers are called "imaginary" because they were initially thought to be fictitious or imaginary, as they cannot be represented on a traditional number line. They were first introduced by mathematician René Descartes in the 17th century, who referred to them as "imaginary" to differentiate them from real numbers.
Dec 26, 2007 · Of course it is- every real number is a complex number. The question was whether or not 0 is an imaginary number. That has already been answered: A real number is a complex number, of the form a+ bi with b= 0. An imaginary number is a complex number, of the form a+ bi, with a= 0. The number 0 is both real and imaginary.
Mar 30, 2019 · Imaginary numbers and real numbers are both types of complex numbers. Real numbers can be thought of as a subset of complex numbers, where the imaginary part is equal to 0. Imaginary numbers, on the other hand, have a non-zero imaginary part. 5. How are imaginary numbers used in real-world applications?
Jun 19, 2011 · In order for a wave to exist, it must have both a real and an imaginary component. The real component represents the physical nature of the wave, while the imaginary component represents its phase. 5. How is the imaginary part of a wave measured? The imaginary part of a wave is typically measured using complex numbers or phasors.
Mar 6, 2012 · The imaginary part of a plane wave function is used extensively in scientific research, particularly in the fields of physics, chemistry, and engineering. It is used to describe and analyze various physical systems and phenomena, and to make predictions about their behavior and properties.
An imaginary mass is a theoretical concept in physics that describes a type of particle called a tachyon. Unlike regular particles, which have a measurable mass, tachyons have an imaginary mass, meaning that their mass is expressed as a complex number rather than a real number.
In summary, there is some confusion surrounding the use of the letter "j" in mathematics, physics, and electrical engineering. While it is commonly used to represent the imaginary unit √-1 in mathematics and physics, it is also used by electrical engineers to represent the same concept, as they often use the letter "i" to represent current.
