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Results tagged with big-picture
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user 34671
Questions designed to get an overview of a specific subject or body of results or to understand the relations among similar definitions, techniques or concepts appearing in different sub-fields of mathematics. While such questions by their very nature sometimes cannot be made very narrow and focused, it can be helpful to keep in mind that the design of MathOverflow does not make it a good fit for questions that are too broad.
1
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Examples of eventual counterexamples
Nate Eldredge has mentioned the Skewes number,and in fact it is not the only place where we can speak of counterexamples, within number theory:
The Riemann hypothesis is a fairly good case where count …
1
vote
Recent fundamental new directions in PDEs
A very active field of research (and to my understading, may fall into the "fundamental" category) is Domain Decomposition methods (DDM), which can be understood in the geometrical numerical and compu …
1
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Intuitions/connections/examples for "eigen-*"
@vonjd
As explained by SandeepJ, "eigen..." is related to the spectrum of something. In particular, when one calculates the eigenvalues and their corresponding eigenvectors from A.x = lambda*x, addin …
5
votes
Fundamental Examples
Within the category of algorithms and computer science, I would say Conway's "The Game of Life", where binary, two dimensional structures may evolve, requiring not much than an initial state.
http:/ …