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Results tagged with intuition
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user 12482
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).
8
votes
What is a complex inner product space "really"?
Suppose first that you're not interested in the complex situation at all and just consider real inner product spaces (with positive definite inner product for simplicity). Then you have the notion of …
- 8,098
14
votes
Surprising and Useful Physical Intuition for Mathematical Objects
But the intuition is clearly from physics.
Similar and also in this framework is the notion of oscillatory integrals... …
41
votes
What is a Lagrangian submanifold intuitively?
Everything is a lagrangian submanifold (A. Weinstein's lagrangian creed...)
Indeed, every manifold is the lagrangian zero section of its cotangent bundle ;)
But more serious: Weinstein's tubular neig …
- 8,098