Stack Exchange

Michael Bächtold

Switzerland

https://www.hslu.ch/de-ch/hochschule-luzern/ueber-uns/personensuche/profile/?pid=1306

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Top Questions
41 votes

Are submersions of differentiable manifolds flat morphisms?

dg.differential-geometry ac.commutative-algebra flatness fibre-bundles smooth-manifolds asked Oct 19, 2009 at 14:16
mathoverflow.net

31 votes

Is there a mathematically precise definition of turbulence for solutions of Navier-Stokes?

ap.analysis-of-pdes mp.mathematical-physics fluid-dynamics asked Jun 11, 2010 at 11:08
mathoverflow.net

26 votes

Formalizations of the idea that something is a function of something else?

lo.logic formal-languages type-theory categorical-logic formalization asked Aug 9, 2018 at 20:39
mathoverflow.net

24 votes

Has Benezet's teaching experiment ever been reproduced?

primary-education arithmetic-operations asked Aug 14, 2018 at 17:26
matheducators.stackexchange.com

24 votes

Was Jacobi the first to notice the ambiguity in the partial derivatives notation? And did anyone object to his fix?

ho.history-overview notation differential-calculus asked Jul 17, 2019 at 10:13
mathoverflow.net

24 votes

"Function" vs "Function of ...": how much does it contribute to students difficulties?

calculus education-research functions asked Sep 23, 2016 at 16:42
matheducators.stackexchange.com

24 votes

Can LyX automatically save the PDF output in the same folder?

lyx asked Sep 11, 2012 at 13:19
tex.stackexchange.com

23 votes

Who first considered the $f$ in $f(x)$ as an object in itself, and who decided to call it a function?

mathematics mathematicians terminology calculus asked Jun 3, 2017 at 0:36
hsm.stackexchange.com

21 votes

Status of proof by contradiction and excluded middle throughout the history of mathematics?

lo.logic ho.history-overview proof-theory asked May 20, 2019 at 9:20
mathoverflow.net

19 votes

Can an integral equation always be rewritten as a differential equation?

ap.analysis-of-pdes differential-equations integral-operators asked Jun 1, 2010 at 10:20
mathoverflow.net

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Top Answers
51
Nonequivalent definitions in Mathematics
mathoverflow.net

43
Has incorrect notation ever led to a mistaken proof?
mathoverflow.net

21
What does $dx$ mean?
math.stackexchange.com

21
The logic of Buddha: a formal approach
mathoverflow.net

15
The origin(s) of the word "elliptic"
hsm.stackexchange.com

14
Why is cotangent more canonical than tangent?
mathoverflow.net

13
If d/dx is an operator, on what does it operate?
mathoverflow.net

12
The origin(s) of the word "elliptic"
mathoverflow.net

12
Jet bundles and partial differential operators
mathoverflow.net

12
What are the computationally useful ways of thinking about Killing fields?
mathoverflow.net

12
When did the abuse of notation $y=y(x)$ start?
mathoverflow.net

12
Reasons for (not) distinguishing $f$ from $f(x)$
matheducators.stackexchange.com

11
Tools for collaborative paper-writing
mathoverflow.net

10
Math and Music theory books
math.stackexchange.com

10
$\frac{dy}{dx}$ versus $\frac{{\mathrm d}y}{{\mathrm d}x}$
hsm.stackexchange.com

10
What is the right notation to use in multivariable chain rules?
matheducators.stackexchange.com

10
(Preferably rare) Audio/Video recordings of famous mathematicians?
mathoverflow.net

9
A calculus book that uses differentials?
matheducators.stackexchange.com

9
What is meant by the inverse function theorem in algebraic geometry?
mathoverflow.net

8
Geometric or intuitive proof of the symmetry of second partial derivatives
math.stackexchange.com

8
Who introduced random variables into probability?
hsm.stackexchange.com

8
What is a Lagrangian submanifold intuitively?
mathoverflow.net

8
Jets in synthetic differential geometry
mathoverflow.net

8
1-jet bundle on vector bundle with metric connection
mathoverflow.net

7
Who invented the Leibnitz notation $\frac{d^2y}{dx^2}$ for the *second* derivative?
hsm.stackexchange.com

7
Equivalence of "Weyl Algebra" and "Crystalline" definitions of rings of differential operators between modules?
mathoverflow.net

7
Ring of differential operators of a quotient ring
mathoverflow.net

7
Polymorphic functions in vector calculus
matheducators.stackexchange.com

6
Differential forms along the fiber
mathoverflow.net

6
Is 'For all $x$' an abuse of language in math?
matheducators.stackexchange.com

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