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Questions asking for the intuition behind some definition, conjecture, proof etc. In other words, questions designed to improve or to acquire understanding on a conceptual or intuitive level, as opposed to on a technical or formal level. When asking such a question it can be helpful to include a rough description of ones understanding of the subject at hand (on a technical level).

1 vote

Intuition on Log-Concave Sequences

As for nice properties of log-concave functions, there are many applications in probability. For example, if the PDF of a function is log-concave, so is the CDF.
John D. Cook's user avatar
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12 votes

What is convolution intuitively?

Maybe it would help your intuition to think about the discrete case first where the convolution is a sum rather than an integral. (f*g)(x) is the sum of f(i) g(j) over all (i, j) that sum to x. …
John D. Cook's user avatar
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4 votes

What examples of distributions should I keep in mind?

Stepping back from the problem a little bit, I'd say that focusing on distributions is not the right approach. It's obvious from the way you've written your question that you understand the basics of …
John D. Cook's user avatar
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11 votes

Most helpful heuristic?

"The shortest path between two truths in the real domain passes through the complex domain." -- Jacques Hadamard
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22 votes

Intuition for Integral Transforms

You can think of integral transforms as a change of coordinates. One of the key tricks in physics is to pick a coordinate system that makes your problem simpler. For example, you may set your coordin …
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