Questions tagged [soft-question]
Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.
2,274 questions
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Can a mathematics research paper have just propositions & corollaries? [closed]
I am writing a research paper, in which I am proving some properties of new convolution operation $\star$ for some transform, like linearity, associativity, commutativity,distributivity, shift ...
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Research without context is no research? [closed]
I was wondering what is research in mathematics. Can it be considered research only the research in open problems or it can be considered research also the finding of new formulas, new classes of ...
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On the condition of preadditive categories being locally small
The theory of categories is more flexible when not adding the (quite common) condition of being locally small. So the general notion of a category is the following (assuming we have a suitable ...
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The history of Riemann-Roch theorem [closed]
I became interested in the history of the Riemann-Roch theorem, so I searched various materials.
So, I read Über die Wechselwirkungen zwischen der französischen Schule, Riemann und Weierstraß. Eine ...
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Publishing corollaries of previously published results
About a year ago, I published a paper. Since then, through discussions with some colleagues, we have identified several interesting corollaries that can be derived from its results, with only minor ...
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Relative algebraic $K$ theory of Galois extensions
Let $R$ be a domain, e.g. $\mathbb{Z}$, and let $R\to R[x]/I$ be an integral extension, e.g $\mathbb{Z}[i]$.
Is anything known about the relative algebraic $K$ groups, $K_*(R',R)$? For example, when $...
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Why are some heuristics successful?
Mathematicians sometimes use heuristics to form expectations about what might be true or false. For examples, see Matthew Emerton's answer to Why should I believe the Mordell Conjecture?, this blog ...
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Questions about some parallel between polynomial and differential equation
Do the relations between Galois groups and solutions to polynomial equations with one variable have a counterpart between Lie groups and solutions to differential equations ?
Do the relations between ...
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Examples of long running and consecutively numbered international meetings [closed]
I just saw a poster at the next office's door announcing the
95th Annual Meeting of the International Association of Applied Mathematics and Mechanics.
Here is another example of a meeting I will ...
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Merging single-sorted and multi-sorted theories
The general theory of single-sorted (say, algebraic) theories is very similar to the general theory of multi-sorted (algebraic) theories. Each variable gets a sort, but apart from that nothing really ...
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What is the best way to read advanced textbooks in Pure Mathematics (PhD Level)? [closed]
This question was asked earlier on Mathstackexchange but was closed very very soon without any answer and then deleted by the system!
I am a PhD student (1st year) in a poor country with a corrupt ...
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Topological Hochschild Homology and $p$-adic étale cohomology of $\mathbb{Q}$-schemes
Recent progress in $p$-adic geometry has produced an interesting comparison isomorphism between the crystalline cohomology of a smooth algebra $A$ over a perfect field $k$ in characteristic $p$, and ...
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Is the logic of the ($\infty$-?)topos of simplicial sets "contradictory up to homotopy"?
In a sense this is a followup to my earlier question Does the (1-)topos structure on simplicial sets have any homotopy-theoretic significance?.
In the topos of simplicial sets, the subobject ...
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Why rough path theory principle is not applied in parameter estimation of stochastic differential equation(SDE)?
My apologies if this question is not proper for this site, but I could not figure out the following. Can anyone provide insight? It is almost certain that stochastic differential equations (SDEs) can ...
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Is it acceptable to copy the citations from another paper?
I am writing a paper about a PDE which I know to be relevant in many physical situations. Of course, when I say that "such PDE is important in physics in the field X and Y", it would be ...
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