Joe

Oxford, UK

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Unifying the connections between the trigonometric and hyperbolic functions

calculus trigonometry exponential-function hyperbolic-functions asked Jan 25, 2021 at 19:02

math.stackexchange.com

31 votes

Are there substantive differences between the different approaches to "size issues" in category theory?

ct.category-theory set-theory foundations asked Jun 24, 2024 at 12:24

mathoverflow.net

27 votes

Why are infinite-dimensional vector spaces usually equipped with additional structure?

linear-algebra functional-analysis vector-spaces soft-question asked Aug 12, 2023 at 19:08

math.stackexchange.com

27 votes

Is it possible to turn this geometric demonstration of the area of a circle into a rigorous proof?

real-analysis calculus geometry circles asked May 29, 2021 at 21:08

math.stackexchange.com

27 votes

What does it mean for a polynomial to be the 'best' approximation of a function around a point?

real-analysis calculus taylor-expansion approximation asked Sep 26, 2020 at 20:34

math.stackexchange.com

25 votes

The proofs of limit laws and derivative rules appear to tacitly assume that the limit exists in the first place

real-analysis calculus limits derivatives asked Jan 8, 2021 at 22:59

math.stackexchange.com

24 votes

Is Zorn's Lemma equivalent to the Axiom of Choice for individual sets?

set-theory lo.logic order-theory axiom-of-choice asked Oct 2, 2025 at 15:38

mathoverflow.net

23 votes

Is it acceptable to say that a divergent series that tends to infinity is 'equal to' infinity?

real-analysis calculus sequences-and-series limits notation asked Nov 29, 2019 at 22:58

math.stackexchange.com

21 votes

Is there a word/short phrase for "the most" of something (not necessarily the majority)?

single-word-requests phrase-requests concept asked Dec 14, 2019 at 18:50

english.stackexchange.com

21 votes

Why do infinite-dimensional vector spaces usually have additional structure?

fa.functional-analysis linear-algebra gm.general-mathematics vector-spaces asked Aug 16, 2023 at 14:07

mathoverflow.net

Top Answers

What does the word "let" mean in mathematics?

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Why does an exponential function eventually get bigger than a quadratic

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How do we define addition?

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Does there exist a function which converts exponentiation into addition?

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Set Theoretically, NOT CONCEPTUALLY, are Position Vectors the same as Points

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Why do points matter in trading pieces?

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Correct verb to go to a website - open, surf, navigate?

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If sum of triangle angles is $180$ degrees, how $\sin(270)$ is possible?

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Is $\frac{\textrm{d}y}{\textrm{d}x}$ not a ratio?

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Is there a mathematical notation for restricting the depth of a factorial?

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Could we allow the zero ring to be local?

mathoverflow.net

how to prove the chain rule?

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Should a vector be formally defined to contain a reference to the whole vector space structure?

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Does $\mathbb{R}/\mathbb{Q}$ contain a subgroup isomorphic to $\mathbb{Q}$?

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uniqueness of embedding of an integral domain in its field of fractions

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Find the center of the symmetry group $S_n$.

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What are the differences between rings, groups, and fields?

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Derivative of the absolute value $|x^3|$, when $x = 0$.

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Integral Calculus, Infinitesimal

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The best chess websites or apps to play on

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Visual intuition for the definition of "asymptotically equivalent"

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Can we derive a norm and an inner product from a metric?

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Is the difference between additive groups and multiplicative groups just a matter of notation?

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Why and How do certain manipulations in indefinite integrals "just work"?

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Undefined consequent in logical implication

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Function as a triplet

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How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$?

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Unpinning the accepted answer from the top of the list of answers

meta.stackexchange.com

How does one prove that if $B$ is an $A$-algebra, then $A[t]\otimes_A B\cong B[t]$?

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Is $\lim_{x\to\infty} (0.99999...)^x=1$?

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