Origin of the term “sinc” functionWhat is the origin of the term “spectrum” in mathematics?Origin of the term “localization” for the localization of a ringContinuous or analytic functions with this property of sinc functionWhat is the origin of the term magma?Origin of the term “weight” in representation theoryOrigin of the term “generic” in set theoryOrigin of the term “Diophantine equation”Origin of the name ''momentum map''Origin of the convolution theorem
Origin of the term “sinc” function
What is the origin of the term “spectrum” in mathematics?Origin of the term “localization” for the localization of a ringContinuous or analytic functions with this property of sinc functionWhat is the origin of the term magma?Origin of the term “weight” in representation theoryOrigin of the term “generic” in set theoryOrigin of the term “Diophantine equation”Origin of the name ''momentum map''Origin of the convolution theorem
$begingroup$
Is the sinc function defined here, really a short form of "sinus cardinalis" as proposed by Wikipedia? This information is deleted now but it existed some time ago. Even if we search Google Books for this term, a lot of new books call sinc as sinus cardinalis without even bothering to check Woodward's original paper. The origin of sinc is attributed to Peter Woodward's work dating 1952, but he never mentions sinus cardinalis anywhere. This term is not listed in any etymological dictionary of mathematics and even unabridged Oxford English Dictionary.
What is meant by cardinal sine, if we assume whoever tried to rationalize the term, thought of it as a meaningful term?
Here is the paragraph from Woodward, P. M.; Davies, I. L. (March 1952). "Information theory and inverse probability in telecommunication" (PDF). Proceedings of the IEE - Part III: Radio and Communication Engineering. 99 (58): 37–44. doi:10.1049/pi-3.1952.0011
Thanks.
ho.history-overview fourier-analysis terminology
edited 5 hours ago
Francois Ziegler
21.9k3 gold badges81 silver badges129 bronze badges
asked 8 hours ago
M. FarooqM. Farooq
2336 bronze badges
$endgroup$
add a comment
|
$begingroup$
Is the sinc function defined here, really a short form of "sinus cardinalis" as proposed by Wikipedia? This information is deleted now but it existed some time ago. Even if we search Google Books for this term, a lot of new books call sinc as sinus cardinalis without even bothering to check Woodward's original paper. The origin of sinc is attributed to Peter Woodward's work dating 1952, but he never mentions sinus cardinalis anywhere. This term is not listed in any etymological dictionary of mathematics and even unabridged Oxford English Dictionary.
What is meant by cardinal sine, if we assume whoever tried to rationalize the term, thought of it as a meaningful term?
Here is the paragraph from Woodward, P. M.; Davies, I. L. (March 1952). "Information theory and inverse probability in telecommunication" (PDF). Proceedings of the IEE - Part III: Radio and Communication Engineering. 99 (58): 37–44. doi:10.1049/pi-3.1952.0011
Thanks.
ho.history-overview fourier-analysis terminology
edited 5 hours ago
Francois Ziegler
21.9k3 gold badges81 silver badges129 bronze badges
asked 8 hours ago
M. FarooqM. Farooq
2336 bronze badges
$endgroup$
$begingroup$
In French it's called "sinus cardinal".
$endgroup$
– YCor
6 hours ago
1
$begingroup$
... since at least G. Battail (1964, p. 128) and J. Lochard, Introduction et application de certains résultats de l’analyse à la théorie des signaux, L’Onde électrique 42 (1962) 709–714.
$endgroup$
– Francois Ziegler
5 hours ago
$begingroup$
I think we should search something around 1952 or earlier. Most of the work on communications/signal processing was done in English, as far as I can guess.
$endgroup$
– M. Farooq
5 hours ago
$begingroup$
You may also post history questions at the History of Science and Mathematics Stack Exchange.
$endgroup$
– Joel Reyes Noche
2 hours ago
$begingroup$
It was already asked by someone else and the answer was a cut-paste Wiki answer.
$endgroup$
– M. Farooq
2 hours ago
add a comment
|
$begingroup$
Is the sinc function defined here, really a short form of "sinus cardinalis" as proposed by Wikipedia? This information is deleted now but it existed some time ago. Even if we search Google Books for this term, a lot of new books call sinc as sinus cardinalis without even bothering to check Woodward's original paper. The origin of sinc is attributed to Peter Woodward's work dating 1952, but he never mentions sinus cardinalis anywhere. This term is not listed in any etymological dictionary of mathematics and even unabridged Oxford English Dictionary.
What is meant by cardinal sine, if we assume whoever tried to rationalize the term, thought of it as a meaningful term?
Here is the paragraph from Woodward, P. M.; Davies, I. L. (March 1952). "Information theory and inverse probability in telecommunication" (PDF). Proceedings of the IEE - Part III: Radio and Communication Engineering. 99 (58): 37–44. doi:10.1049/pi-3.1952.0011
Thanks.
ho.history-overview fourier-analysis terminology
edited 5 hours ago
Francois Ziegler
21.9k3 gold badges81 silver badges129 bronze badges
asked 8 hours ago
M. FarooqM. Farooq
2336 bronze badges
$endgroup$
Is the sinc function defined here, really a short form of "sinus cardinalis" as proposed by Wikipedia? This information is deleted now but it existed some time ago. Even if we search Google Books for this term, a lot of new books call sinc as sinus cardinalis without even bothering to check Woodward's original paper. The origin of sinc is attributed to Peter Woodward's work dating 1952, but he never mentions sinus cardinalis anywhere. This term is not listed in any etymological dictionary of mathematics and even unabridged Oxford English Dictionary.
What is meant by cardinal sine, if we assume whoever tried to rationalize the term, thought of it as a meaningful term?
Here is the paragraph from Woodward, P. M.; Davies, I. L. (March 1952). "Information theory and inverse probability in telecommunication" (PDF). Proceedings of the IEE - Part III: Radio and Communication Engineering. 99 (58): 37–44. doi:10.1049/pi-3.1952.0011
Thanks.
ho.history-overview fourier-analysis terminology
ho.history-overview fourier-analysis terminology
edited 5 hours ago
Francois Ziegler
21.9k3 gold badges81 silver badges129 bronze badges
asked 8 hours ago
M. FarooqM. Farooq
2336 bronze badges
edited 5 hours ago
Francois Ziegler
21.9k3 gold badges81 silver badges129 bronze badges
asked 8 hours ago
M. FarooqM. Farooq
2336 bronze badges
edited 5 hours ago
Francois Ziegler
21.9k3 gold badges81 silver badges129 bronze badges
edited 5 hours ago
Francois Ziegler
21.9k3 gold badges81 silver badges129 bronze badges
edited 5 hours ago
Francois Ziegler
21.9k3 gold badges81 silver badges129 bronze badges
21.9k3 gold badges81 silver badges129 bronze badges
asked 8 hours ago
M. FarooqM. Farooq
2336 bronze badges
asked 8 hours ago
M. FarooqM. Farooq
2336 bronze badges
asked 8 hours ago
M. FarooqM. Farooq
2336 bronze badges
2336 bronze badges
$begingroup$
In French it's called "sinus cardinal".
$endgroup$
– YCor
6 hours ago
1
$begingroup$
... since at least G. Battail (1964, p. 128) and J. Lochard, Introduction et application de certains résultats de l’analyse à la théorie des signaux, L’Onde électrique 42 (1962) 709–714.
$endgroup$
– Francois Ziegler
5 hours ago
$begingroup$
I think we should search something around 1952 or earlier. Most of the work on communications/signal processing was done in English, as far as I can guess.
$endgroup$
– M. Farooq
5 hours ago
$begingroup$
You may also post history questions at the History of Science and Mathematics Stack Exchange.
$endgroup$
– Joel Reyes Noche
2 hours ago
$begingroup$
It was already asked by someone else and the answer was a cut-paste Wiki answer.
$endgroup$
– M. Farooq
2 hours ago
add a comment
|
$begingroup$
In French it's called "sinus cardinal".
$endgroup$
– YCor
6 hours ago
1
$begingroup$
... since at least G. Battail (1964, p. 128) and J. Lochard, Introduction et application de certains résultats de l’analyse à la théorie des signaux, L’Onde électrique 42 (1962) 709–714.
$endgroup$
– Francois Ziegler
5 hours ago
$begingroup$
I think we should search something around 1952 or earlier. Most of the work on communications/signal processing was done in English, as far as I can guess.
$endgroup$
– M. Farooq
5 hours ago
$begingroup$
You may also post history questions at the History of Science and Mathematics Stack Exchange.
$endgroup$
– Joel Reyes Noche
2 hours ago
$begingroup$
It was already asked by someone else and the answer was a cut-paste Wiki answer.
$endgroup$
– M. Farooq
2 hours ago
$begingroup$
In French it's called "sinus cardinal".
$endgroup$
– YCor
6 hours ago
$begingroup$
In French it's called "sinus cardinal".
$endgroup$
– YCor
6 hours ago
1
1
$begingroup$
... since at least G. Battail (1964, p. 128) and J. Lochard, Introduction et application de certains résultats de l’analyse à la théorie des signaux, L’Onde électrique 42 (1962) 709–714.
$endgroup$
– Francois Ziegler
5 hours ago
$begingroup$
... since at least G. Battail (1964, p. 128) and J. Lochard, Introduction et application de certains résultats de l’analyse à la théorie des signaux, L’Onde électrique 42 (1962) 709–714.
$endgroup$
– Francois Ziegler
5 hours ago
$begingroup$
I think we should search something around 1952 or earlier. Most of the work on communications/signal processing was done in English, as far as I can guess.
$endgroup$
– M. Farooq
5 hours ago
$begingroup$
I think we should search something around 1952 or earlier. Most of the work on communications/signal processing was done in English, as far as I can guess.
$endgroup$
– M. Farooq
5 hours ago
$begingroup$
You may also post history questions at the History of Science and Mathematics Stack Exchange.
$endgroup$
– Joel Reyes Noche
2 hours ago
$begingroup$
You may also post history questions at the History of Science and Mathematics Stack Exchange.
$endgroup$
– Joel Reyes Noche
2 hours ago
$begingroup$
It was already asked by someone else and the answer was a cut-paste Wiki answer.
$endgroup$
– M. Farooq
2 hours ago
$begingroup$
It was already asked by someone else and the answer was a cut-paste Wiki answer.
$endgroup$
– M. Farooq
2 hours ago
add a comment
|
1 Answer
1
active
oldest
votes
$begingroup$
The Wikipedia page for the Shannon-Whittaker reconstruction formula states that Whittaker used the term "cardinal series" for the reconstruction formula
$$
f(t) = sum_ninmathbbN f(n)mathrmsinc((t-nT)/T)
$$
as early as 1915. This may explain the name "cardinal sine".
answered 7 hours ago
DirkDirk
8,0034 gold badges33 silver badges70 bronze badges
$endgroup$
1
$begingroup$
I checked the Whitaker's Original Paper, Whittaker, E. T. (1915). XVIII.—On the Functions which are represented by the Expansions of the Interpolation-Theory. Proceedings of the Royal Society of Edinburgh, 35, 181–194. doi:10.1017/s0370164600017806, he never uses the term cardinal sine or sinus cardinalis. He does introduce the term cardinal. I think the question is now who associated the term sinus cardinalis to the Whitaker's relation.
$endgroup$
– M. Farooq
5 hours ago
add a comment
|
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1 Answer
1
active
oldest
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1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
The Wikipedia page for the Shannon-Whittaker reconstruction formula states that Whittaker used the term "cardinal series" for the reconstruction formula
$$
f(t) = sum_ninmathbbN f(n)mathrmsinc((t-nT)/T)
$$
as early as 1915. This may explain the name "cardinal sine".
answered 7 hours ago
DirkDirk
8,0034 gold badges33 silver badges70 bronze badges
$endgroup$
1
$begingroup$
I checked the Whitaker's Original Paper, Whittaker, E. T. (1915). XVIII.—On the Functions which are represented by the Expansions of the Interpolation-Theory. Proceedings of the Royal Society of Edinburgh, 35, 181–194. doi:10.1017/s0370164600017806, he never uses the term cardinal sine or sinus cardinalis. He does introduce the term cardinal. I think the question is now who associated the term sinus cardinalis to the Whitaker's relation.
$endgroup$
– M. Farooq
5 hours ago
add a comment
|
$begingroup$
The Wikipedia page for the Shannon-Whittaker reconstruction formula states that Whittaker used the term "cardinal series" for the reconstruction formula
$$
f(t) = sum_ninmathbbN f(n)mathrmsinc((t-nT)/T)
$$
as early as 1915. This may explain the name "cardinal sine".
answered 7 hours ago
DirkDirk
8,0034 gold badges33 silver badges70 bronze badges
$endgroup$
1
$begingroup$
I checked the Whitaker's Original Paper, Whittaker, E. T. (1915). XVIII.—On the Functions which are represented by the Expansions of the Interpolation-Theory. Proceedings of the Royal Society of Edinburgh, 35, 181–194. doi:10.1017/s0370164600017806, he never uses the term cardinal sine or sinus cardinalis. He does introduce the term cardinal. I think the question is now who associated the term sinus cardinalis to the Whitaker's relation.
$endgroup$
– M. Farooq
5 hours ago
add a comment
|
$begingroup$
The Wikipedia page for the Shannon-Whittaker reconstruction formula states that Whittaker used the term "cardinal series" for the reconstruction formula
$$
f(t) = sum_ninmathbbN f(n)mathrmsinc((t-nT)/T)
$$
as early as 1915. This may explain the name "cardinal sine".
answered 7 hours ago
DirkDirk
8,0034 gold badges33 silver badges70 bronze badges
$endgroup$
The Wikipedia page for the Shannon-Whittaker reconstruction formula states that Whittaker used the term "cardinal series" for the reconstruction formula
$$
f(t) = sum_ninmathbbN f(n)mathrmsinc((t-nT)/T)
$$
as early as 1915. This may explain the name "cardinal sine".
answered 7 hours ago
DirkDirk
8,0034 gold badges33 silver badges70 bronze badges
answered 7 hours ago
DirkDirk
8,0034 gold badges33 silver badges70 bronze badges
answered 7 hours ago
DirkDirk
8,0034 gold badges33 silver badges70 bronze badges
answered 7 hours ago
DirkDirk
8,0034 gold badges33 silver badges70 bronze badges
8,0034 gold badges33 silver badges70 bronze badges
1
$begingroup$
I checked the Whitaker's Original Paper, Whittaker, E. T. (1915). XVIII.—On the Functions which are represented by the Expansions of the Interpolation-Theory. Proceedings of the Royal Society of Edinburgh, 35, 181–194. doi:10.1017/s0370164600017806, he never uses the term cardinal sine or sinus cardinalis. He does introduce the term cardinal. I think the question is now who associated the term sinus cardinalis to the Whitaker's relation.
$endgroup$
– M. Farooq
5 hours ago
add a comment
|
1
$begingroup$
I checked the Whitaker's Original Paper, Whittaker, E. T. (1915). XVIII.—On the Functions which are represented by the Expansions of the Interpolation-Theory. Proceedings of the Royal Society of Edinburgh, 35, 181–194. doi:10.1017/s0370164600017806, he never uses the term cardinal sine or sinus cardinalis. He does introduce the term cardinal. I think the question is now who associated the term sinus cardinalis to the Whitaker's relation.
$endgroup$
– M. Farooq
5 hours ago
1
1
$begingroup$
I checked the Whitaker's Original Paper, Whittaker, E. T. (1915). XVIII.—On the Functions which are represented by the Expansions of the Interpolation-Theory. Proceedings of the Royal Society of Edinburgh, 35, 181–194. doi:10.1017/s0370164600017806, he never uses the term cardinal sine or sinus cardinalis. He does introduce the term cardinal. I think the question is now who associated the term sinus cardinalis to the Whitaker's relation.
$endgroup$
– M. Farooq
5 hours ago
$begingroup$
I checked the Whitaker's Original Paper, Whittaker, E. T. (1915). XVIII.—On the Functions which are represented by the Expansions of the Interpolation-Theory. Proceedings of the Royal Society of Edinburgh, 35, 181–194. doi:10.1017/s0370164600017806, he never uses the term cardinal sine or sinus cardinalis. He does introduce the term cardinal. I think the question is now who associated the term sinus cardinalis to the Whitaker's relation.
$endgroup$
– M. Farooq
5 hours ago
add a comment
|
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$begingroup$
In French it's called "sinus cardinal".
$endgroup$
– YCor
6 hours ago
1
$begingroup$
... since at least G. Battail (1964, p. 128) and J. Lochard, Introduction et application de certains résultats de l’analyse à la théorie des signaux, L’Onde électrique 42 (1962) 709–714.
$endgroup$
– Francois Ziegler
5 hours ago
$begingroup$
I think we should search something around 1952 or earlier. Most of the work on communications/signal processing was done in English, as far as I can guess.
$endgroup$
– M. Farooq
5 hours ago
$begingroup$
You may also post history questions at the History of Science and Mathematics Stack Exchange.
$endgroup$
– Joel Reyes Noche
2 hours ago
$begingroup$
It was already asked by someone else and the answer was a cut-paste Wiki answer.
$endgroup$
– M. Farooq
2 hours ago