Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [soft-question]

For questions whose answers can't be objectively evaluated as correct or incorrect, but which are still relevant to this site. Please be specific about what you are after.

For questions whose answers cannot be objectively evaluated as correct or incorrect, but which are still relevant to mathematics.se.

12079 questions
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Moving from air traffic modelling to swarm intelligences

Having recently taken up a research role in a research institute within a University where I work alongside Postdocs, professors, regulators and the aerospace industries, I have been contemplating on exit opportunities in the near future. An area of…
Mathematicing
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Need Help to Translate French Wiki Page on Dessin D'Enfants

Can anyone help to translate the french wiki on the topology of dessin d'enfants: Soit ${\displaystyle S}$ la sphère privée de trois points... Merci beaucoup...
draks ...
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How to study efficiently?

I have seen many child prodigy which learn and understand mathematics to a greater extent and with small amount of time. Many of them in their late 20's were famous mathematician. I am as a ordinary mind person try to learn mathematics by working…
old
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Does anybody know why the new edition of Thomas' Calculus leaves out an important property of surface integrals?

Does anybody here think it's intentional? It seems like such a useful thing to know, why would anybody want to scrap that?
Ius Klesar
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Fourier series vs Taylor series convergence

Just a soft question: While studying Taylor series, we often discuss a Taylor series’s radius of convergence. However, we rarely talk about the radius of convergence of a Fourier series, and it seems like it always converges to some value(not…
Szeto
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How to check the rationality of a number?

A rational number is a number that can be written in the form $\frac{a}{b}$ where $b\neq 0$, I'm doing an exercise where the author asks: Is 5.96 a rational number? I believe I should find one $a$ and one $b$ such that $\frac{a}{b}=5.96$ to prove…
Red Banana
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Mathematical inspiration from my bathroom floor

I spend some time each day contemplating the grid pattern of my bathroom vinyl floor covering: What neat, not too difficult mathematical concepts are embodied in such a pattern? I've thought of a couple. First, the proof that rational numbers are…
Peter4075
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How would you call this sum?

One has: $\sum_n x^n$: sum of powers, $\sum_n \frac{1}{x^n}$: sum of reciprocal of powers, $\sum_p \frac{1}{x^p}$: ? Note that $p\in\mathbb{P}$, where $\mathbb{P}$ denotes the set of prime numbers.
Klangen
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What is the name of this formula? $n=\left(\frac{1.96\sigma}{p-\mu}\right)^2$

I know this is a derivation from the central limit theorem and used to calculate the number of times one needs to play a game with a buy-in and end up with a positive profit. $$n=\left(\frac{1.96\sigma}{p-\mu}\right)^2$$ Is there a name for it?
EconJohn
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Is the study of differential equations/dynamical systems etc algebraic or analytic?

I'm also wondering whether functional analysis, fourier analysis, lie theory, combinatorics, numerical analysis, order theory, category theory, representation theory are algebraic or analytic? respectively. By analytic I mean analysis like. Does…
user488215
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Can maths be mapped?

I always thought that we can imagine mathematics as a structure that was based on an unique principle and that we can see algebra, geometry, ... emerging when we're adding axioms to the first one. In this way, all the mathematics could be…
tripth
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Open problems that are understandable with knowledge from Calculus 3

I like to know what open problems have statements that are understandable for someone with knowledge of Calculus 3? For example, with a little work, the Jacobian Conjecture might be accessible.
Bart Snapp
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What does the definition of the limit say?

I have been having trouble for some days now internalizing the concept of a limit especially as it appears in different contexts as in continuity,derivatives, integrals sequences etc. Although I understand the definition of the limit in each of…
atifcppprogrammer
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Online Literature/Resources | ~ Calculus level

just a quick ask for recommendations: I'm a lonely math enthusiast, and my current knowledge goes to a half "mastery" of Calculus 1-3. And a bit of L.A. and discrete mathematics at that. And I've mainly used resources such as Khan Academy and…
Periodic Sqare well
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Regarding big-$O$

I was required to prove that the relation $S=\{(f,g)\in\mathcal{F}\times\mathcal{F}|f\in O(g)\}$ where $\mathcal{F} = \{f|f:\mathbf{Z^+}\rightarrow \mathbf{R}\}$ is not antisymmetric i came up with the following example $f=x^2$ and $g=2x^2$. This…
atifcppprogrammer
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