Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with intuition
Search options not deleted
user 121
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).
14
votes
Help motivating log-structures
Sometimes, it is not easy to choose a compactification of a moduli space, especially if the objects being parametrized are complicated - one may find that a choice of degenerate structure is too permi …
5
votes
Abstract nonsense versions of "combinatorial" group theory questions
This may be splitting hairs, but I think the Sylow theorems are more arithmetic than combinatorial. Depending on your standards of good categorification, I think this makes it difficult to encode pre …
- 45.7k
5
votes
Why is the gradient normal?
The proof I usually see: Choose an arbitrary unit length tangent vector on the level set, and write it with coordinates. If you take the inner product of this vector with the gradient, the sum you ge …
- 45.7k
14
votes
Examples of eventual counterexamples
D. H. Lehmer showed that the first prime value of the Ramanujan tau-function, defined by $$\sum_{n=1}^\infty \tau(n) q^n = q \prod_{n=1}^\infty (1-q^n)^{24} = q - 24q^2 + 252q^3 - 1472q^4 + \dots,$$ o …
18
votes
Accepted
What is a twisted D-Module intuitively?
One way to think of twisted $D$-modules that I like is to view them as monodromic $D$-modules (see Beilinson, Bernstein A Proof of Jantzen Conjectures section 2.5, available as number 49 on Bernstein' …
- 45.7k
64
votes
Why should I believe the Mordell Conjecture?
Here's a quick and dirty version of George Lowther's calculation that I learned from Bjorn Poonen. It is presented in a bit more generality in the next-to-last slide of this talk, so it is in a sense …
- 45.7k
5
votes
How do I make the conceptual transition from multivariable calculus to differential forms?
I had a lot of difficulty with Spivak's Calculus on Manifolds (which has essentially no physical intuition outside the Archimedes exercise at the end), but I think I was uncomfortable with the abstract … I don't have much advice for connecting with physical intuition, but I have found it useful to:
Decompose div, grad and curl in terms of d and the metric. …
- 45.7k
8
votes
Algebraically closed fields of positive characteristic
The spherical completion (aka maximal completion) of $\overline{\mathbb{F}_p((t))}$ is an example of an algebraically closed field of characteristic p that hasn't been mentioned here yet. The "spheri …
- 45.7k
14
votes
Intuitive pictures in characteristic p
I heard the following analogy when talking to some specialists in absolute de Rham theory. I think Deninger's name was mentioned at about the same time.
One possible way to imagine a variety over $\ …
- 45.7k
40
votes
What is convolution intuitively?
I think one's standards of intuitiveness depend strongly on one's background. Even if a picture seems unintuitive at first, it can be helpful later.
If you're an algebraist, I'd suggest the multipl …
66
votes
4
answers
11k
views
Is there a good way to think of vanishing cycles and nearby cycles?
Once in a while I run into literature that invokes vanishing cycle machinery with a cryptic sentence like, "this follows from a standard vanishing cycle argument." Is there a good way to look at vani …
- 45.7k