Mintys.Physics istorijaPaslėpti nežymius pakeitimus - Rodyti kodo pakeitimus 2022 vasario 18 d., 21:56
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Ištrintos 0-69 eilutės:
The Meixner polynomials involve a substitution {$x\to px$} where {$p=\sqrt{d^2-4g}$} so that the links are balanced by the kinks. How does that relate to Poincare invariance? Hermite and Kravchuk
Gaussian ensembles, in random matrix theory, have orthogonal, unitary, symplectic versions. They involve symmetric, Hermitian, Hermitian quaternionic matrices. They are said to relate to Hermite polynomials, but how? How can I write the spherical harmonics, usually written in terms of {$r, \Phi, \theta$}, in terms of {$r, x, y, z$} ? And in what sense are they orthogonal polynomials? Interpreting how an observable as an operator that is acting as a shift upon the Hermite polynomial (the eigenfunction)
There is slack, gap, in defining orthogonal polynomials, bases for linear subspaces, and so on. What is the relationship between that freedom, the cracks in the top down approach, and canonical choices? Kim, Zeng. A Combinatorial Formula for the Linearization Coefficients of General Sheffer Polynomials. Dennis Stanton. Publication list.
Three-dimensional space
Feynman diagrams
Karlin, McGregor. The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem Karlin, McGregor. The Classification of Birth and Death Processes Karlin, McGregor. Many server queueing processes with Poisson input and exponential service time. M/M/1 Queue We can write a probability mass function dependent on t to describe the probability that the M/M/1 queue is in a particular state at a given time. We assume that the queue is initially in state i and write p<sub>k</sub>(t) for the probability of being in state k at time t. Then<ref>{{cite book | title = Queueing Systems Volume 1: Theory | first1=Leonard | last1=Kleinrock | author-link = Leonard Kleinrock | isbn = 0471491101 | year=1975 | page=77}}</ref> {$p_k(t)=e^{-(\lambda+\mu)t} \left[ \rho^{\frac{k-i}{2}} I_{k-i}(at) + \rho^{\frac{k-i-1}{2}} I_{k+i+1}(at) + (1-\rho) \rho^{k} \sum_{j=k+i+2}^{\infty} \rho^{-j/2}I_j(at) \right]$} where {$i$} is the initial number of customers in the station at time {$t=0$}, {$\rho=\lambda/\mu$}, {$a=2\sqrt{\lambda\mu}$} and {$I_k$} is the modified Bessel function of the first kind. Moments for the transient solution can be expressed as the sum of two monotone functions. <ref>{{Cite journal | last1 = Abate | first1 = J. | last2 = Whitt | first2 = W. | author-link2 = Ward Whitt| doi = 10.1007/BF01182933 | title = Transient behavior of the M/M/l queue: Starting at the origin | journal = Queueing Systems?| volume = 2 | pages = 41–65 | year = 1987 | url = http://www.columbia.edu/~ww2040/TransientMM1questa.pdf}}</ref> Viennot video
Fivesome
How could general relativity arise from the global quantum as grounded in the foursome? Relate Viennot's histoire with automata theory. Interpret Viennot's tableaux by rotating them 45 degrees so that they are like the Young tableaux and the binomial triangle. 2022 vasario 18 d., 18:59
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Pridėtos 1-2 eilutės:
The Meixner polynomials involve a substitution {$x\to px$} where {$p=\sqrt{d^2-4g}$} so that the links are balanced by the kinks. How does that relate to Poincare invariance? 2022 vasario 18 d., 15:33
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Pridėta 12 eilutė:
2022 vasario 18 d., 13:28
atliko -
Pakeista 13 eilutė iš:
Gaussian ensembles, in random matrix theory, have orthogonal, unitary, symplectic versions. The latter two relate to Hermite polynomials. į:
Gaussian ensembles, in random matrix theory, have orthogonal, unitary, symplectic versions. They involve symmetric, Hermitian, Hermitian quaternionic matrices. They are said to relate to Hermite polynomials, but how? 2022 vasario 18 d., 13:26
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Pridėtos 12-13 eilutės:
Gaussian ensembles, in random matrix theory, have orthogonal, unitary, symplectic versions. The latter two relate to Hermite polynomials. 2022 vasario 17 d., 21:47
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Pakeistos 15-18 eilutės iš
į:
Interpreting how an observable as an operator that is acting as a shift upon the Hermite polynomial (the eigenfunction)
2022 vasario 17 d., 21:42
atliko -
Pridėtos 12-15 eilutės:
How can I write the spherical harmonics, usually written in terms of {$r, \Phi, \theta$}, in terms of {$r, x, y, z$} ? And in what sense are they orthogonal polynomials? 2022 vasario 17 d., 16:17
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Pridėtos 8-11 eilutės:
2022 vasario 17 d., 15:53
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Pakeistos 1-7 eilutės iš
Mesuma K. Atakishiyeva, Natig M. Atakishiyev, Kurt Bernardo Wolf. Kravchuk polynomials and irreducible representations of the rotation group SO(3) related to quantum harmonic oscillator and to SU(2). Mentions that Charlier and Meixner are related to SU(1,1). į:
Hermite and Kravchuk
2022 vasario 17 d., 15:46
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Pridėtos 1-2 eilutės:
Mesuma K. Atakishiyeva, Natig M. Atakishiyev, Kurt Bernardo Wolf. Kravchuk polynomials and irreducible representations of the rotation group SO(3) related to quantum harmonic oscillator and to SU(2). Mentions that Charlier and Meixner are related to SU(1,1). Ištrintos 3-4 eilutės:
2022 vasario 17 d., 12:13
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Pakeistos 39-48 eilutės iš
į:
Fivesome
How could general relativity arise from the global quantum as grounded in the foursome? Relate Viennot's histoire with automata theory. Interpret Viennot's tableaux by rotating them 45 degrees so that they are like the Young tableaux and the binomial triangle. 2022 vasario 16 d., 20:17
atliko -
Pridėtos 1-5 eilutės:
There is slack, gap, in defining orthogonal polynomials, bases for linear subspaces, and so on. What is the relationship between that freedom, the cracks in the top down approach, and canonical choices? 2022 vasario 16 d., 16:10
atliko -
Pakeistos 33-34 eilutės iš
į:
2022 vasario 16 d., 16:08
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Pridėtos 30-33 eilutės:
Viennot video
2022 vasario 15 d., 21:24
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Pridėtos 1-2 eilutės:
Kim, Zeng. A Combinatorial Formula for the Linearization Coefficients of General Sheffer Polynomials. Pakeistos 4-7 eilutės iš
Stanton. Orthogonal polynomials and combinatorics. Corteel, Kim, Stanton. Moments of Orthogonal Polynomials and Combinatorics. į:
2022 vasario 15 d., 20:47
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Pridėtos 1-2 eilutės:
Stanton. Orthogonal polynomials and combinatorics. 2022 vasario 15 d., 20:40
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Pridėtos 1-2 eilutės:
Corteel, Kim, Stanton. Moments of Orthogonal Polynomials and Combinatorics. 2022 vasario 15 d., 17:47
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Pridėtos 1-14 eilutės:
Three-dimensional space
Feynman diagrams
Karlin, McGregor. The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem Karlin, McGregor. The Classification of Birth and Death Processes Karlin, McGregor. Many server queueing processes with Poisson input and exponential service time. 2022 vasario 15 d., 15:37
atliko -
Ištrinta 0 eilutė:
Pakeistos 3-4 eilutės iš
We can write a probability mass function? dependent on t to describe the probability that the M/M/1 queue is in a particular state at a given time. We assume that the queue is initially in state i and write p<sub>k</sub>(t) for the probability of being in state k at time t. Then<ref>{{cite book | title = Queueing Systems Volume 1: Theory | first1=Leonard | last1=Kleinrock | author-link = Leonard Kleinrock | isbn = 0471491101 | year=1975 | page=77}}</ref> į:
We can write a probability mass function dependent on t to describe the probability that the M/M/1 queue is in a particular state at a given time. We assume that the queue is initially in state i and write p<sub>k</sub>(t) for the probability of being in state k at time t. Then<ref>{{cite book | title = Queueing Systems Volume 1: Theory | first1=Leonard | last1=Kleinrock | author-link = Leonard Kleinrock | isbn = 0471491101 | year=1975 | page=77}}</ref> Pakeistos 7-9 eilutės iš
where <math>i</math> is the initial number of customers in the station at time <math>t=0</math>,<math>\rho=\lambda/\mu</math>, <math>a=2\sqrt{\lambda\mu}</math> and <math>I_k</math> is the modified Bessel function of the first kind?. Moments for the transient solution can be expressed as the sum of two monotone functions?.<ref>{{Cite journal | last1 = Abate | first1 = J. | last2 = Whitt | first2 = W. | author-link2 = Ward Whitt| doi = 10.1007/BF01182933 | title = Transient behavior of the M/M/l queue: Starting at the origin | journal = Queueing Systems?| volume = 2 | pages = 41–65 | year = 1987 | url = http://www.columbia.edu/~ww2040/TransientMM1questa.pdf}}</ref> į:
where {$i$} is the initial number of customers in the station at time {$t=0$}, {$\rho=\lambda/\mu$}, {$a=2\sqrt{\lambda\mu}$} and {$I_k$} is the modified Bessel function of the first kind. Moments for the transient solution can be expressed as the sum of two monotone functions. <ref>{{Cite journal | last1 = Abate | first1 = J. | last2 = Whitt | first2 = W. | author-link2 = Ward Whitt| doi = 10.1007/BF01182933 | title = Transient behavior of the M/M/l queue: Starting at the origin | journal = Queueing Systems?| volume = 2 | pages = 41–65 | year = 1987 | url = http://www.columbia.edu/~ww2040/TransientMM1questa.pdf}}</ref> 2022 vasario 15 d., 15:36
atliko -
Pridėtos 1-8 eilutės:
M/M/1 Queue We can write a probability mass function? dependent on t to describe the probability that the M/M/1 queue is in a particular state at a given time. We assume that the queue is initially in state i and write p<sub>k</sub>(t) for the probability of being in state k at time t. Then<ref>{{cite book | title = Queueing Systems Volume 1: Theory | first1=Leonard | last1=Kleinrock | author-link = Leonard Kleinrock | isbn = 0471491101 | year=1975 | page=77}}</ref> {$p_k(t)=e^{-(\lambda+\mu)t} \left[ \rho^{\frac{k-i}{2}} I_{k-i}(at) + \rho^{\frac{k-i-1}{2}} I_{k+i+1}(at) + (1-\rho) \rho^{k} \sum_{j=k+i+2}^{\infty} \rho^{-j/2}I_j(at) \right]$} where <math>i</math> is the initial number of customers in the station at time <math>t=0</math>,<math>\rho=\lambda/\mu</math>, <math>a=2\sqrt{\lambda\mu}</math> and <math>I_k</math> is the modified Bessel function of the first kind?. Moments for the transient solution can be expressed as the sum of two monotone functions?.<ref>{{Cite journal | last1 = Abate | first1 = J. | last2 = Whitt | first2 = W. | author-link2 = Ward Whitt| doi = 10.1007/BF01182933 | title = Transient behavior of the M/M/l queue: Starting at the origin | journal = Queueing Systems?| volume = 2 | pages = 41–65 | year = 1987 | url = http://www.columbia.edu/~ww2040/TransientMM1questa.pdf}}</ref> |
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Puslapis paskutinį kartą pakeistas 2022 vasario 18 d., 21:56
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