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        Questions tagged [big-list]

        Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.

        91
        votes
        13answers
        26k views

        What are some noteworthy “mic-drop” moments in math?

        Oftentimes in math the manner in which a solution to a problem is announced becomes a significant chapter/part of the lore associated with the problem, almost being remembered more than the manner in ...
        2
        votes
        1answer
        126 views

        Practical applications of Sobolev spaces

        What are the examples of practical applications of Sobolev spaces? The framework of Sobolev spaces is very useful in the theoretical analysis of PDEs and variational problems: the questions of ...
        1
        vote
        2answers
        323 views

        When was the generalization easier to prove than the specific case? [duplicate]

        I distinctly remember from my long-ago undergraduate math that there were some interesting cases where a solution (proof) was sought for some specific thing but it wasn't easy to find - and in a few ...
        102
        votes
        18answers
        12k views

        Good “casual” advanced math books

        I'm curious if there are any good math books out there that take a "casual approach" to higher level topics. I'm very interested in advanced math, but have lost the time as of late to study textbooks ...
        84
        votes
        24answers
        13k views

        Noteworthy, but not so famous conjectures resolved recent years

        Conjectures play important role in development of mathematics. Mathoverflow gives an interaction platform for mathematicians from various fields, while in general it is not always easy to get in ...
        46
        votes
        8answers
        4k views

        Your professional $\LaTeX$ experiences that saves your time in typesetting

        In $\LaTeX$ typesetting, when we repeat a long and complex formula in long documents, it is appropriate to create a new command that just by calling this new command we get the desired output. For ...
        116
        votes
        44answers
        14k views

        Old books you would like to have reprinted with high-quality typesetting

        There are some questions on mathoverflow such as What out-of-print books would you like to see re-printed? Old books still used with answers that tell us things such as: Mathematicians prefer to ...
        3
        votes
        1answer
        355 views

        Improvements to one's own theorems

        What are some notable (famous?) instances where the following has occurred. A particular author proves: Every P which satisfies Q has property Z. A few years later (roughly speaking) the same ...
        7
        votes
        0answers
        213 views

        List of modern points of view simplifying or clarifying classical topics

        There are many modern mathematical achievements which greatly clarify or (and) simplify classical important topics. I believe a list of such achievements, among other benefits, would be a big help for ...
        47
        votes
        11answers
        6k views

        What definitions were crucial to further understanding?

        Often the most difficult part of venturing into a field as a researcher is to come up with an appropriate definition. Sometimes definitions suggest themselves very naturally, as when you solve a ...
        0
        votes
        0answers
        100 views

        Reference request for bounds of $n$-th composite

        Motivation I will briefly elaborate here my motivations for asking the question. If you are not interested in it then please go to the questions. Recently during trying to understand and prove the ...
        3
        votes
        2answers
        183 views

        Free ergodic probability measure-preserving actions of the free group

        Let $(X,\mathcal{B},\mu)$ be a standard Borel probability space. Let $\Gamma$ be a countable group. An action of $\Gamma$ on $X$ is: essentially free if for all $g \in \Gamma \setminus \{e \}$,...
        -6
        votes
        1answer
        290 views

        Big list of “outstanding paper awards” [closed]

        What are the prizes awarded for significant papers published in mathematical journals? One of them is the SIAM Outstanding Paper Prize. I'd be particularly interested in hearing about prizes ...
        5
        votes
        0answers
        298 views

        Theorems conditional on false conjectures

        What is an example of a theorem that was conditional on a conjecture that later turned out to be false?
        27
        votes
        8answers
        5k views

        How to explain to an engineer what algebraic geometry is?

        This question is similar to this one in that I'm asking about how to introduce a mathematical research topic or activity to a non-mathematician: in this case algebraic geometry, intended as the most ...

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        山西福彩快乐十分钟
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