#specialfunctions — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #specialfunctions, aggregated by home.social.
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@AdrianRiskin
Sketching the function in my head it's pretty clear that it has a maximum somewhere between -2 and 0. Doing the algebra I get x=exp(W(3e-1))-3 = −1.1454... which makes me confident :-)
Nice problem - wrong course.
#maths #SpecialFunctions #LambertW -
@AdrianRiskin
Sketching the function in my head it's pretty clear that it has a maximum somewhere between -2 and 0. Doing the algebra I get x=exp(W(3e-1))-3 = −1.1454... which makes me confident :-)
Nice problem - wrong course.
#maths #SpecialFunctions #LambertW -
@AdrianRiskin
Sketching the function in my head it's pretty clear that it has a maximum somewhere between -2 and 0. Doing the algebra I get x=exp(W(3e-1))-3 = −1.1454... which makes me confident :-)
Nice problem - wrong course.
#maths #SpecialFunctions #LambertW -
In mathematics, theta functions are special functions of several complex variables. They appear in various topics, including Abelian varieties, moduli spaces, quadratic forms, and solitons. As Grassmann algebras, they appear in quantum field theory.
#ThetaFunction #JacobiThetaFunction #SpecialFunctions #ComplexVariables -
In mathematics, theta functions are special functions of several complex variables. They appear in various topics, including Abelian varieties, moduli spaces, quadratic forms, and solitons. As Grassmann algebras, they appear in quantum field theory.
#ThetaFunction #JacobiThetaFunction #SpecialFunctions #ComplexVariables -
In mathematics, theta functions are special functions of several complex variables. They appear in various topics, including Abelian varieties, moduli spaces, quadratic forms, and solitons. As Grassmann algebras, they appear in quantum field theory.
#ThetaFunction #JacobiThetaFunction #SpecialFunctions #ComplexVariables -
A few days back, I posted some #AnimatedGifs of the exact solution for a large-amplitude undamped, unforced #Pendulum. I then thought to complete the study to include the case when it has been fed enough #energy to allow it just to undergo #FullRotations, rather than just #oscillations. Well, it turns out that it is “a bit more complicated than I first expected” but I finally managed it.
#Mathematics #AppliedMathematics #SpecialFunctions #DynamicalSystems #NonlinearPhenomena
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A few days back, I posted some #AnimatedGifs of the exact solution for a large-amplitude undamped, unforced #Pendulum. I then thought to complete the study to include the case when it has been fed enough #energy to allow it just to undergo #FullRotations, rather than just #oscillations. Well, it turns out that it is “a bit more complicated than I first expected” but I finally managed it.
#Mathematics #AppliedMathematics #SpecialFunctions #DynamicalSystems #NonlinearPhenomena
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A few days back, I posted some #AnimatedGifs of the exact solution for a large-amplitude undamped, unforced #Pendulum. I then thought to complete the study to include the case when it has been fed enough #energy to allow it just to undergo #FullRotations, rather than just #oscillations. Well, it turns out that it is “a bit more complicated than I first expected” but I finally managed it.
#Mathematics #AppliedMathematics #SpecialFunctions #DynamicalSystems #NonlinearPhenomena
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A few days back, I posted some #AnimatedGifs of the exact solution for a large-amplitude undamped, unforced #Pendulum. I then thought to complete the study to include the case when it has been fed enough #energy to allow it just to undergo #FullRotations, rather than just #oscillations. Well, it turns out that it is “a bit more complicated than I first expected” but I finally managed it.
#Mathematics #AppliedMathematics #SpecialFunctions #DynamicalSystems #NonlinearPhenomena
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A few days back, I posted some #AnimatedGifs of the exact solution for a large-amplitude undamped, unforced #Pendulum. I then thought to complete the study to include the case when it has been fed enough #energy to allow it just to undergo #FullRotations, rather than just #oscillations. Well, it turns out that it is “a bit more complicated than I first expected” but I finally managed it.
#Mathematics #AppliedMathematics #SpecialFunctions #DynamicalSystems #NonlinearPhenomena
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Relations between special functions:
https://www.johndcook.com/blog/special_function_diagram/
#maths #mathematics #functions #SpecialFunctions #JohnDCook #math -
Relations between special functions:
https://www.johndcook.com/blog/special_function_diagram/
#maths #mathematics #functions #SpecialFunctions #JohnDCook #math -
Relations between special functions:
https://www.johndcook.com/blog/special_function_diagram/
#maths #mathematics #functions #SpecialFunctions #JohnDCook #math -
from "Definite integration using the generalized hypergeometric functions" by Ioannis Dimitrios Avgoustis (1977)
https://dspace.mit.edu/handle/1721.1/16269?utm_source=dlvr.it&utm_medium=mastodon
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from "Definite integration using the generalized hypergeometric functions" by Ioannis Dimitrios Avgoustis (1977)
https://dspace.mit.edu/handle/1721.1/16269?utm_source=dlvr.it&utm_medium=mastodon
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from "Definite integration using the generalized hypergeometric functions" by Ioannis Dimitrios Avgoustis (1977)
https://dspace.mit.edu/handle/1721.1/16269?utm_source=dlvr.it&utm_medium=mastodon
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from "Definite integration using the generalized hypergeometric functions" by Ioannis Dimitrios Avgoustis (1977)
https://dspace.mit.edu/handle/1721.1/16269?utm_source=dlvr.it&utm_medium=mastodon
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from "On the Specialness of Special Functions (The Nonrandom Effusions of the Divine Mathematician)" by R.W. Batterman (2007)
http://philsci-archive.pitt.edu/2629/?utm_source=dlvr.it&utm_medium=mastodon
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from "On the Specialness of Special Functions (The Nonrandom Effusions of the Divine Mathematician)" by R.W. Batterman (2007)
http://philsci-archive.pitt.edu/2629/?utm_source=dlvr.it&utm_medium=mastodon
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from "On the Specialness of Special Functions (The Nonrandom Effusions of the Divine Mathematician)" by R.W. Batterman (2007)
http://philsci-archive.pitt.edu/2629/?utm_source=dlvr.it&utm_medium=mastodon
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from "On the Specialness of Special Functions (The Nonrandom Effusions of the Divine Mathematician)" by R.W. Batterman (2007)
http://philsci-archive.pitt.edu/2629/?utm_source=dlvr.it&utm_medium=mastodon
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from "q-Stirling numbers: A new view" by Yue Cai and Margaret A. Readdy (2017)
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from "q-Stirling numbers: A new view" by Yue Cai and Margaret A. Readdy (2017)
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from "q-Stirling numbers: A new view" by Yue Cai and Margaret A. Readdy (2017)
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from "Delay differential equations via the matrix Lambert W function and bifurcation analysis: application to machine tool chatter" by Sun Yi, Patrick W. Nelson, and A. Galip Ulsoy (2007)
https://pubmed.ncbi.nlm.nih.gov/17658931/?utm_source=dlvr.it&utm_medium=mastodon
#math #delaydifferentialequations #specialfunctions #lambertw
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from "Delay differential equations via the matrix Lambert W function and bifurcation analysis: application to machine tool chatter" by Sun Yi, Patrick W. Nelson, and A. Galip Ulsoy (2007)
https://pubmed.ncbi.nlm.nih.gov/17658931/?utm_source=dlvr.it&utm_medium=mastodon
#math #delaydifferentialequations #specialfunctions #lambertw
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from "Delay differential equations via the matrix Lambert W function and bifurcation analysis: application to machine tool chatter" by Sun Yi, Patrick W. Nelson, and A. Galip Ulsoy (2007)
https://pubmed.ncbi.nlm.nih.gov/17658931/?utm_source=dlvr.it&utm_medium=mastodon
#math #delaydifferentialequations #specialfunctions #lambertw
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from "Delay differential equations via the matrix Lambert W function and bifurcation analysis: application to machine tool chatter" by Sun Yi, Patrick W. Nelson, and A. Galip Ulsoy (2007)
https://pubmed.ncbi.nlm.nih.gov/17658931/?utm_source=dlvr.it&utm_medium=mastodon
#math #delaydifferentialequations #specialfunctions #lambertw
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from "Polylogarithms and Associated Functions" by Leonard Lewin (1981)
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from "Polylogarithms and Associated Functions" by Leonard Lewin (1981)
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from "Polylogarithms and Associated Functions" by Leonard Lewin (1981)
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from "Polylogarithms and Associated Functions" by Leonard Lewin (1981)
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from "Special Functions of Mathematical Physics and Chemistry" by Ian N Sneddon (1956)
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from "Special Functions of Mathematical Physics and Chemistry" by Ian N Sneddon (1956)
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from "Special Functions of Mathematical Physics and Chemistry" by Ian N Sneddon (1956)
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from "Special Functions of Mathematical Physics and Chemistry" by Ian N Sneddon (1956)
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from "Generalized Hypergeometric Functions" by Bernard Dwork (1990)
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from "Generalized Hypergeometric Functions" by Bernard Dwork (1990)
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from "Generalized Hypergeometric Functions" by Bernard Dwork (1990)
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from "Airy functions and applications to physics" by Olivier Vallee and Manuel Soares (2010)
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from "Airy functions and applications to physics" by Olivier Vallee and Manuel Soares (2010)
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from "Airy functions and applications to physics" by Olivier Vallee and Manuel Soares (2010)
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from "Airy functions and applications to physics" by Olivier Vallee and Manuel Soares (2010)
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from "q-Special functions, a tutorial" by Tom Koornwinder (2013)
https://arxiv.org/abs/math/9403216?utm_source=dlvr.it&utm_medium=mastodon
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from "q-Special functions, a tutorial" by Tom Koornwinder (2013)
https://arxiv.org/abs/math/9403216?utm_source=dlvr.it&utm_medium=mastodon
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from "q-Special functions, a tutorial" by Tom Koornwinder (2013)
https://arxiv.org/abs/math/9403216?utm_source=dlvr.it&utm_medium=mastodon
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From "The analytic continuation of the Gaussian hypergeometric function 2F1(a,b;c;z) for arbitrary parameters" by W. Becken and P. Schmelcher (2000)
https://core.ac.uk/download/pdf/82108003.pdf?utm_source=dlvr.it&utm_medium=mastodon
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From "The analytic continuation of the Gaussian hypergeometric function 2F1(a,b;c;z) for arbitrary parameters" by W. Becken and P. Schmelcher (2000)
https://core.ac.uk/download/pdf/82108003.pdf?utm_source=dlvr.it&utm_medium=mastodon
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From "The analytic continuation of the Gaussian hypergeometric function 2F1(a,b;c;z) for arbitrary parameters" by W. Becken and P. Schmelcher (2000)
https://core.ac.uk/download/pdf/82108003.pdf?utm_source=dlvr.it&utm_medium=mastodon