Ciro Santilli @cirosantilli  40

Continuous version of the Fourier series.

Can be used to represent functions that are not periodic: math.stackexchange.com/questions/221137/what-is-the-difference-between-fourier-series-and-fourier-transformation while the Fourier series is only for periodic functions.

Of course, every function defined on a finite line segment (i.e. a compact space).

Therefore, the Fourier transform can be seen as a generalization of the Fourier series that can also decompose functions defined on the entire real line.

As a more concrete example, just like the Fourier series is how you solve the heat equation on a line segment with Dirichlet boundary conditions as shown at: Section "Solving partial differential equations with the Fourier series", the Fourier transform is what you need to solve the problem when the domain is the entire real line.

First published by Fourier in 1807 to solve the heat equation.

A conjecture is an open problem in mathematics for which some famous dude gave heuristic arguments which indicate if the theorem is true or false.

Previously known as "Food From Electricity", "NeoCarbonFood" sounds like a more commercializable version of it.

Uses electricity to electrolyse water into hydrogen and oxygen molecules, and then use bacteria that do hydrogen chemosynthesis to convert it into food.

Some coverage:

Selected answers by Ciro Santilli on the subject:

Euphemisms are evil bullshit.

Just say what you mean to say,

Don't be a pussy.

If you've been fired, say you been fired, not "let go".

If someone died, say they died, not "passed away".