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5 votes

Why did Grothendieck think that Deligne was more talented than him?

Grothendieck's assessment is not related to Deligne's proof of the Weil conjectures, which Grothendieck was not impressed by. As Deligne himself remarked, "since the proof used a trick, he did ...
Conifold's user avatar
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5 votes

How did Fourier know an infinite number of frequencies were required to solve the heat equation?

English translation of Fourier's Analytical Theory of Heat is accessible on Internet Archive. His reasoning for a stationary plate problem, which is his first example of applying trigonometric series,...
Conifold's user avatar
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3 votes
Accepted

Why was FFT needed to detect Soviet nuclear tests?

On the first question I can answer in general terms. Any analysis of wave phenomena is based on Fourier transform. In our case, the data are obtained from seismographers, and the goal is to find the ...
Alexandre Eremenko's user avatar
3 votes
Accepted

What is the origin (and perhaps original) of this quote by André Weil

A. Weil, De la métaphysique aux mathématiques, Collected Papers, Vol. 2, Springer-Verlag, 1980, pp.408-412. (Translation into English in J. Gray, Open Univ. Course in History of Math., Unit 12, p. 30.$...
AChem's user avatar
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2 votes
Accepted

Can I find the number e in the tables of Napier?

I received an answer to this question in the Math StackExchange (link). For completeness, I include the answer below and expand it further. The tables constructed by Napier have rows with the first ...
Andre's user avatar
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1 vote
Accepted

Why is Einstein summation named after Einstein?

Einstein proposed the convention in Die Grundlage der allgemeinen Relativitätstheorie (Annalen der Physik, 354 (1916) no.7, 769-822). It is introduced on p.158 of its English translation. Einstein's ...
Conifold's user avatar
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1 vote

Does Lagrange's FTA proof meet rigorous requirements even by modern standards?

Yes, Gauss mentions Lagrange too. He wrote “This great mathematician tried above all to fill in the gaps in Euler's first proof, and indeed, as regards what constitutes the second and fourth ...
José Carlos Santos's user avatar
1 vote

How did Fourier know an infinite number of frequencies were required to solve the heat equation?

What we assume to be "the general solution" has evolved and refined over time. There is an argument to be made that Fourier did not strictly know that this would give the general solution, ...
Georg Essl's user avatar
1 vote

Who was the first to understand a derivative and integral as both giving rise to new functions?

If you're looking for an early quote where someone uses the expression 'function' and familiar notation, then the earliest person to look into is Leibniz (because he coined those terms), and it's ...
Michael Bächtold's user avatar
1 vote

Who was the first to understand a derivative and integral as both giving rise to new functions?

While logarithms were introduced by Napier already at the beginning of the 17th century, the natural logarithm was introduced in 1649 by a little-known student of Gregoire de Saint-Vincent, precisely ...
Mikhail Katz's user avatar
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1 vote

Equicardinality of $\mathbb{R}$ and $\mathbb{R}^2$ via interleaving decimal expansions

After some more searching, I have found what seems to be an answer—except that I have not (yet) been able to track down original references. A MathOverflow answer by Goldstern says: In his book on ...
Timothy Chow's user avatar
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