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Results tagged with intuition
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user 65
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
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Can the "physical argument" for the existence of a solution to Dirichlet's problem be made i...
I am not an expert on PDEs, but I know that often the existence and uniqueness of solutions to partial differential equations are obtained by Banach's fixed point theorem or similar results. Essential …
- 15.1k
6
votes
An intuitive reason why the "Rule 30" CA is random/pseudorandom?
Well, here are some thoughts of mine.
You want triangular shape, so you fix 000 -> 0 ; 100 -> 1 ; 001 -> 1.
Now you don't want symmetry, so the only way for you is to assign different values to 011 a …
- 15.1k
19
votes
What is the "intuition" behind "brave new algebra"?
This is a general phrase that refers to the direction of
higher category theory, per Lurie (you know references)
scheme homotopy theory, per Voevodsky
derived spaces, per Ben-Zvi and Nadler (0706.032 …
- 15.1k
6
votes
Some intuition behind the five lemma?
One example would be a map induced by a morphism $f: X \to Y$ in the long homology sequence.
E.g. suppose the top row is a cohomology of pair $(X, A)$ and the bottom row is the cohomology of pair $( …
- 15.1k
9
votes
1
answer
2k
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Explanation for Satake correspondence
On the contrary, I feel like I miss any intuition for classical representation theory. Why would statements like this be interesting?
I wasn't able to find anything in wikipedia or nLab. … Question: is there an intuition for Satake correspondence that would make its statement obvious? …
- 15.1k
1
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Is there a good way to think of vanishing cycles and nearby cycles?
One thing I understand is that vanishing cycles are more than just about singularities — there's a derived version that is more interesting. I'd like to get an answer myself. This is also important fo …
- 15.1k
36
votes
6
answers
5k
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How to think about model categories?
What should be my intuition about them?
E.g. I understand the typical examples come from taking homotopy of something — but are all model categories homotopy categories? …
- 15.1k