Most Popular

1500 questions
5
votes
1 answer

Where is the Foucault pendulum in Mainz?

A Foucault pendulum in Mainz is listed on Wikipedia. The article says that it is in School for Business and Technique, Mainz However, I didn't find any information about this pendulum on the Internet. I know that this question is not fully in the…
user153012
  • 355
  • 2
  • 10
5
votes
1 answer

Were there proofs of the Lebesgue Differentiation Theorem without using maximal functions?

Is there a proof of the Lebesgue Differentiation Theorem that does not involve the Hardy-Littlewood Maximal Function? For example, did Lebesgue prove it? If there is such a proof, where can I find it?
user109871
  • 506
  • 2
  • 9
5
votes
1 answer

When was the first appearance of the abbreviation RSA?

When was the first publication of the abbreviation RSA (Rivest, Sharmir, Adleman) because it does not appear in Martin Gardner’s article of 1977 which is at the following url: https://simson.net/ref/1977/Gardner_RSA.pdf
matq
  • 51
  • 1
5
votes
1 answer

When was the nine point conic discovered?

I wonder when was discovered the nine point conic. English Wikipedia article about it https://en.wikipedia.org/wiki/Nine-point_conic is misleading. The nine point conic wasn't discovered in 1892. In the book Trilinear Coordinates, by William Allen…
MrDudulex
  • 151
  • 2
5
votes
0 answers

What work did Hideki Yukawa do during the Second World War?

Yukawa received a Nobel Prize in 1949 for predicting the pi meson but while in Japan he published his theory which explained the interaction between protons and neutrons in 1935. What work did he do during the war years? I assume his work was not…
Sedumjoy
  • 1,223
  • 10
  • 17
5
votes
2 answers

Popper on Marx, Freud and Darwin

I've encountered the following claim: If we, as Popper apparantly did, view Marx and Freud's body of work as non-scientific because core tenets are not falsifiable and we apply the same rubic to Darwins theory of evolution, the latter would also…
mart
  • 151
  • 2
5
votes
2 answers

History of hypergeometric equation

It is known that Gauss studied hypergeometric equation $$x(1-x) \dfrac {d^2y}{dx^2}+(c-(a+b+1)x)\dfrac {dy}{dx}-aby=0$$ I would like to know something about history of this equation: 1) If $a=b=c=0$ then what are the solutions of corresponding…
Right
  • 153
  • 3
5
votes
1 answer

When/How were the product and chain rules first proved?

Pretty much every proof of the product or chain rules presented today revolve around the definition of the derivative as a limit (e.g. this post). However, when Newton/Leibniz were developing calculus, they would not have had access to the concepts…
chipbuster
  • 169
  • 4
5
votes
1 answer

When was Euler's log-sine integral first computed by real methods?

In Sec. 2.4 of Inside Interesting Integrals (2015), Paul J Nahin says of $$I:=\int_0^{\pi/2}\ln (a\sin x)dx=\int_0^{\pi/2}\ln (a\cos x)dx$$that: For many years it was commonly claimed in textbooks that these are quite difficult integrals to do,…
J.G.
  • 1,720
  • 8
  • 18
5
votes
2 answers

What inspired Nicholson to break water into hydrogen and oxygen with electricity?

It seems a bit of a stretch to go from a battery to electrolysis but this fellow appears to have thought of it only a few weeks after Volta invented the "pile" battery. I am wondering if he knew water's elemental components before he assembles his…
Sedumjoy
  • 1,223
  • 10
  • 17
5
votes
2 answers

Question about Gauss's contributions to the theory of electric circuits

This question is a continuation of my previously-posted question: Several questions about Gauss's contributions to electromagnetism. I wrote it after user vonbrand asked me to split my original question into several. I'm very interested to learn…
user2554
  • 4,409
  • 1
  • 13
  • 21
5
votes
3 answers

The Greeks did not discover "a single scientific law"

The title is drawn from a sentence in a Jim Holt article, "The Dangerous Idea of the Infinitesimal," now a chapter in his book collection.1 I found this a striking claim, and perhaps true, as the ancient Greeks did not have the algebraic means to…
Joseph O'Rourke
  • 1,417
  • 9
  • 20
5
votes
1 answer

Did Srinivasa Ramanujan have a surviving sibling?

Wiki says 'After his death, his brother Tirunarayanan chronicled Ramanujan's remaining handwritten notes consisting of formulae on singular moduli, hypergeometric series and continued fractions and compiled them' (quoted from Indian express (I would…
Freeman.
5
votes
1 answer

Do these trigonometric identities belong to Antonio Cagnoli?

I'm new to this stack community, please bear with me as I try to explain my question properly. Recently I came across with these trigonometric identities (where $ \omega + \phi + \psi = 180^\circ $): $$\tan \omega + \tan \phi + \tan \psi = \tan…
5
votes
5 answers

Foundational crises in non-Western historical mathematical communities

In Foundations of Set Theory by Fraenkel, Bar-Hillel, and Levy (1973), the authors argue that there have been three distinct periods of crisis in the foundations of mathematics. The first was undergone by the Ancient Greeks: [...] two discoveries…
Not_Here
  • 232
  • 1
  • 7