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1500 questions
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Why do we say "Matrices" and "Vertices", but "Complexes" rather than "Complices"?
I had a professor point out that it is odd we refer to more than one chain complex as "complexes." It seems that in most other definitions in math we stick to the typical latin plural, i.e. we say vertices instead of "vertexes", matrices instead of…
AnotherPerson
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Binet-Cauchy or Cauchy-Binet?
The Cauchy-Binet formula in linear algebra gives the determinant of a square matrix $AB$ for rectangular matrices $A,B$ of appropriate shape in terms of the determinants of the submatrices of $A,B$. (See the linked Wikipedia page for the specifics.)…
Semiclassical
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6
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Evolution of performances in natural language processing tasks
Is there any plots, etc. that show performance metrics on various natural language processing tasks as a function of year.
For example the following figure shows the evolution of performance of face recognition systems:
I am looking for something…
Franck Dernoncourt
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Did Kepler arrive at his planetary laws based on Mars's orbit alone?
Kepler apparently arrived at his first two laws based on the Tycho's data for Mars. But Mars has the largest eccentricity except for Mercury, so it is easier to tell the difference between a circle and an ellipse. What about other planets, like…
wdlang
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Who came up with the link between the spectrum of an operator and the poles of a meromorphic function?
From Dieudonné's "History of Functional Analysis" I learned that Picard in 1893 gave a characterization of an eigenvalue of the Laplacian as the simple pole of a meromorphic function.
Is there an earlier source that makes this link?
And who…
Jan Peter Schäfermeyer
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Famous scientists in the Nazi party
Can anyone give a list of famous scientists in the Nazi Party? Is there a complete list?
S. Kohn
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At what point in the history of medicine did doctors start having a net positive effect?
The height of medical science used to be applying leeches and administering useless poisons, like mercury. Undoubtedly many patients were killed by harmful treatments, and few if any were helped. Have historians of medicine estimated the year when…
Mikolaj
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Taylor's Theorem and Newton's Method of Divided Differences
While reading Chandrashrkhar's edition of Principia , I came to know that Newton's Method of Divided Differences can be used to prove Taylor's Theorem. Could some one help me in knowing how this is possible. I found this…
Shashaank
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6
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Are the works of J.E. Littlewood in ballistics stored somewhere?
I watched the movie 'The Man Who Knew Infinity' and read the biography of J.E. Littlewood in Wikipedia. He worked on Ballistics in WW1.
Were those works were stored somewhere? I have checked on the internet; but haven't found any.
Partha Sarker
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6
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Who discovered the normal mode decomposition of coupled oscillators?
Coupled oscillators can be broken down into a superposition of normal mode oscillations. Who was the first person to solve for this system in this way?
Matta
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What was the major influence of Francis Bacon on the development of modern science?
I am reading "Advice for young investigators" by Santiago Ramón y Cajal , in which the author suggested Francis Bacon had made no impact on the scientific development*:
"It would not be wise in discussing general principles of research to overlook…
Shing
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Galileo's Discussion of Uniform Motion
Can someone help me here? the language is archaic. This is (translation of) Galileo
If two particles carried at a uniform rate, the ratio of their speeds will be the product of the ratio of the distances traversed The inveerse ratio of the…
john mangual
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How the Cross-Ratio appears in the Work of Pappus?
The cross-ratio of four collinear points $A,B,C,D$ in the Euclidean Plane is defined by
$$(A,B,C,D) = \frac{AC}{AD}\frac{BD}{BC}$$
And the wikipedia article states it already appeared in the works of Pappus of Alexandria. Since I can't find any…
Jonas Gomes
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Question related to the legitimacy of a certain portrait of Christian Goldbach
According to what we read in footnote #2 of [I], no portrait of Christian Goldbach seems to be known. The author of the article under consideration even adds:
... Juskevič & Kopelevič's biography states that none exists [J&K, Christian Goldbach:…
José Hdz. Stgo.
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How did USA become world leader in STEM?
Looking in the past we can easily see that it was Europe who made most of the discoveries in STEM but today USA triumphs in this area. So, how did this shift took place and what were the reasons for the emergence of USA as the pioneer in these…
ankit
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