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Printed from https://www.writing.com/main/profile/blog/cathartes02/day/12-5-2024
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Rated: 18+ · Book · Personal · #1196512
Not for the faint of art.
Complex Numbers

A complex number is expressed in the standard form a + bi, where a and b are real numbers and i is defined by i^2 = -1 (that is, i is the square root of -1). For example, 3 + 2i is a complex number.

The bi term is often referred to as an imaginary number (though this may be misleading, as it is no more "imaginary" than the symbolic abstractions we know as the "real" numbers). Thus, every complex number has a real part, a, and an imaginary part, bi.

Complex numbers are often represented on a graph known as the "complex plane," where the horizontal axis represents the infinity of real numbers, and the vertical axis represents the infinity of imaginary numbers. Thus, each complex number has a unique representation on the complex plane: some closer to real; others, more imaginary. If a = b, the number is equal parts real and imaginary.

Very simple transformations applied to numbers in the complex plane can lead to fractal structures of enormous intricacy and astonishing beauty.




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December 5, 2024 at 10:02am
December 5, 2024 at 10:02am
#1080846
Yeah... I'm just going to leave this here.



Really, isn't that what most of us want?

Quantum-enhanced metrology techniques are emerging methods that enable the collection of precise measurements utilizing non-classical states.

Non-classical... so, rock or hip-hop?

To realize a significant metrological gain above classical metrology techniques using quantum-mechanical principles, Xu and his colleagues set out to devise an approach that would enable the generation of Fock states with up to 100 photons.

Okay, sure, if that's your thing.

No, I don't really understand the article, either. Nor did I look up what a Fock state is; I will eventually, but it might get in the way of my amusement right now. Point is, I only saved this one on the behest of my inner 12-year-old.


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