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RESUMMATION

  • Resummation
  • Technique to acquire finite results from divergent series

    theoretical physics, resummation is a procedure to obtain a finite result from a divergent sum (series) of functions. Resummation involves a definition

    Resummation

    Resummation

  • Poisson summation formula
  • Equation in Fourier analysis

    was discovered by Siméon Denis Poisson and is sometimes called Poisson resummation. For a smooth, complex valued function s ( x ) {\displaystyle s(x)} on

    Poisson summation formula

    Poisson_summation_formula

  • Richard Feynman
  • American theoretical physicist (1918–1988)

    electrodynamics Quantum hydrodynamics Quantum logic gates Quantum turbulence Resummation Rogers Commission Shaft passer Sticky bead argument Synthetic molecular

    Richard Feynman

    Richard Feynman

    Richard_Feynman

  • Borel summation
  • Summation method for divergent series

    In the most general case, Borel summation is generalized by Nachbin resummation, which can be used when the bounding function is of some general type

    Borel summation

    Borel_summation

  • Ramanujan summation
  • Mathematical techniques for summing divergent infinite series

    {\displaystyle \gamma } is the Euler–Mascheroni constant. Ramanujan resummation can be extended to integrals; for example, using the Euler–Maclaurin

    Ramanujan summation

    Ramanujan_summation

  • Holstein–Primakoff transformation
  • Transformation in quantum mechanics

    Alternatively to a Taylor expansion there has been recent progress with a resummation of the series that made expressions possible that are polynomial in bosonic

    Holstein–Primakoff transformation

    Holstein–Primakoff_transformation

  • Nachbin's theorem
  • Theorem bounding the growth rate of analytic functions

    In mathematics, in the area of complex analysis, Nachbin's theorem (named after Leopoldo Nachbin) is a result used to establish bounds on the growth rates

    Nachbin's theorem

    Nachbin's_theorem

  • Asymptotic expansion
  • Series of functions in mathematics

    improve on the superasymptotic error, e.g. by employing resummation methods such as Borel resummation to the divergent tail. Such methods are often referred

    Asymptotic expansion

    Asymptotic_expansion

  • David Albert
  • American academic (born 1954)

    Doctoral thesis: Albert, David Z. (1982-04-01). "Behavior of the Borel resummations for the critical exponents of the n-vector model". Physical Review B

    David Albert

    David Albert

    David_Albert

  • George Sterman
  • American theoretical physicist

    Maryland Known for Sterman-Weinberg Jets proof of factorization theorems Resummation Awards J.J. Sakurai Prize for Theoretical Particle Physics (2003) Scientific

    George Sterman

    George_Sterman

  • Padé approximant
  • 'Best' approximation of a function by a rational function of given order

    computation, one would obtain an anti-diagonal of the Padé table. To study the resummation of a divergent series, say ∑ z = 1 ∞ f ( z ) , {\displaystyle \sum _{z=1}^{\infty

    Padé approximant

    Padé approximant

    Padé_approximant

  • List of things named after Siméon Denis Poisson
  • Poisson–Jensen formula Fourier analysis Poisson summation formula (Poisson resummation) Wavelet theory Poisson wavelet Poisson disk Poisson image editing Advanced

    List of things named after Siméon Denis Poisson

    List_of_things_named_after_Siméon_Denis_Poisson

  • Jean Écalle
  • French mathematician (born 1947)

    method of resurgent functions provides for such solutions a (Borel) resummation method for dealing with divergent series arising from semiclassical asymptotic

    Jean Écalle

    Jean_Écalle

  • Sequence transformation
  • Mathematical operator acting on sequences

    linear mappings such as discrete convolution with another sequence and resummation of a sequence and nonlinear mappings, more generally. They are commonly

    Sequence transformation

    Sequence_transformation

  • Claudia de Rham
  • Swiss theoretical physicist (born 1978)

    2018. de Rham, Claudia; Gabadadze, Gregory; Tolley, Andrew J. (2011). "Resummation of Massive Gravity". Physical Review Letters. 106 (23) 231101. arXiv:1011

    Claudia de Rham

    Claudia_de_Rham

  • Abel's theorem
  • Power series theorem in mathematics

    Integration by parts version of Abel's method for summation by parts Nachbin resummation – Theorem bounding the growth rate of analytic functionsPages displaying

    Abel's theorem

    Abel's_theorem

  • Feynman diagram
  • Pictorial representation of the behavior of subatomic particles

    ) This means that nonperturbative effects show up asymptotically in resummations of infinite classes of diagrams, and these diagrams can be locally simple

    Feynman diagram

    Feynman diagram

    Feynman_diagram

  • John Clayton Taylor
  • British mathematical physicist

    infrared divergences exponentiate. In addition, they contributed to the resummation programme in thermal QCD, simplifying the "hard" part of the effective

    John Clayton Taylor

    John_Clayton_Taylor

  • Anuradha Misra
  • Indian Scientist

    theoretical high energy physics, including Light front quantization, resummation in quantum chromodynamics. Misra completed her primary education from

    Anuradha Misra

    Anuradha_Misra

  • Massive gravity
  • Theory of gravity in which the graviton has nonzero mass

    vDVZ discontinuity in this approach motivated the development of dRGT resummation of massive gravity theory as follows. The interaction potential is built

    Massive gravity

    Massive_gravity

  • Binary black hole
  • System consisting of two black holes in close orbit around each other

    direct wave. The radiation reaction force can be calculated by Padé resummation of gravitational wave flux. A technique to establish the radiation is

    Binary black hole

    Binary black hole

    Binary_black_hole

  • Jonathan Keating
  • British mathematician

    zeta-function and other L-functions. He is known for his work on the resummation of semiclassical periodic orbit formulae, the statistics of quantum energy

    Jonathan Keating

    Jonathan_Keating

  • Quantum revival
  • Periodic recurrence of the quantum wave function

    A2CEM4.v1. S2CID 57487218. A. A. Karatsuba; E. A. Karatsuba (2009). "A resummation formula for collapse and revival in the Jaynes–Cummings model". J. Phys

    Quantum revival

    Quantum revival

    Quantum_revival

  • Jaynes–Cummings model
  • Model in quantum optics

    Physical Review Letters. A. A. Karatsuba; E. A. Karatsuba (2009). "A resummation formula for collapse and revival in the Jaynes–Cummings model". J. Phys

    Jaynes–Cummings model

    Jaynes–Cummings model

    Jaynes–Cummings_model

  • Chien-Peng Yuan
  • Taiwanese physicist

    to the theory of single top-quark production, the development of QCD resummation techniques, the global analysis of parton distribution functions, and

    Chien-Peng Yuan

    Chien-Peng_Yuan

  • Power series solution of differential equations
  • Method for solving differential equations

    power series solution can be reconstructed as either a resummation (such as an Euler resummation) or approximant (such as a Padé approximant) in order

    Power series solution of differential equations

    Power_series_solution_of_differential_equations

  • Bimetric gravity
  • Proposed theories of gravity

    S2CID 189851052. de Rham, Claudia; Gabadadze, Gregory; Tolley, Andrew J. (2011). "Resummation of Massive Gravity". Phys. Rev. Lett. 106 (23) 231101. arXiv:1011.1232

    Bimetric gravity

    Bimetric_gravity

  • Hagen Kleinert
  • German physicist

    Kauffman, J. Devreese, and K. Maki). Path integral molecular dynamics Resummation Gauge Fields in Condensed Matter, Vol. I, " SUPERFLOW AND VORTEX LINES"

    Hagen Kleinert

    Hagen Kleinert

    Hagen_Kleinert

  • Divergent geometric series
  • Century of Developments. Springer. ISBN 3-540-21058-X. Moroz, Alexander (1991). "Quantum Field Theory as a Problem of Resummation". arXiv:hep-th/9206074.

    Divergent geometric series

    Divergent_geometric_series

  • Relativistic Heavy Ion Collider
  • Particle accelerator at Brookhaven National Laboratory in Upton, New York, USA

    Balitsky–Fadin–Kuraev–Lipatov (BFKL) dynamics which are the result of a resummation of large logarithmic terms ln(1/x) for deep inelastic scattering with

    Relativistic Heavy Ion Collider

    Relativistic Heavy Ion Collider

    Relativistic_Heavy_Ion_Collider

  • Method of continued fractions
  • 0 V {\displaystyle A=G_{0}V} . The method can thus be understood as resummation of (in general divergent) Born series by Padé approximants. It is also

    Method of continued fractions

    Method_of_continued_fractions

  • Asymptotic safety
  • Attempt to find a consistent theory of quantum gravity

    alternative techniques to cure the divergence problem, for instance resummation or extended theories with suitable matter fields and symmetries, all

    Asymptotic safety

    Asymptotic safety

    Asymptotic_safety

  • Clausen function
  • Transcendental single-variable function

    for large values of n. Both forms are obtainable through the types of resummation techniques used to obtain rational zeta series (Borwein et al. 2000)

    Clausen function

    Clausen function

    Clausen_function

  • Richard M. Friedberg
  • Hartmann and J. T. Manassah), Phys. Reports 7C, 101 1974: "Dual Trees and Resummation Theorems" Journal of Mathematical Physics 16: 20 Bibcode:1975JMP....16

    Richard M. Friedberg

    Richard_M._Friedberg

  • Thomas Carlos Mehen
  • S2CID 119010760. Fleming, Sean; Leibovich, Adam K.; Mehen, Thomas (2006). "Resummation of Large Endpoint Corrections to Color-Octet J/psi Photoproduction".

    Thomas Carlos Mehen

    Thomas_Carlos_Mehen

  • Gregory Gabadadze
  • Georgian American physicist (born 1964)

    044020. De Rham, Claudia; Gabadadze, Gregory; Tolley, Andrew J. (2011). "Resummation of Massive Gravity". Physical Review Letters. 106 (23) 231101. arXiv:1011

    Gregory Gabadadze

    Gregory_Gabadadze

  • Jeff Forshaw
  • British particle physicist and author

    Retrieved 12 December 2016. Duran Delgado, Rosa Maria (2011). Infrared QCD resummations at hadron colliders (PhD thesis). University of Manchester. OCLC 798401971

    Jeff Forshaw

    Jeff Forshaw

    Jeff_Forshaw

  • Anatoly Karatsuba
  • Russian mathematician (1937–2008)

    S2CID 119933972. A. A. Karatsuba, E. A. Karatsuba (2009). "A resummation formula for collapse and revival in the Jaynes–Cummings model". J. Phys

    Anatoly Karatsuba

    Anatoly Karatsuba

    Anatoly_Karatsuba

  • Index of physics articles (R)
  • frame Restoring force Restricted open-shell Hartree–Fock Resultant tone Resummation Retarded position Retarded potential Retarded time Retentivity Retreating

    Index of physics articles (R)

    Index_of_physics_articles_(R)

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Online names & meanings

  • Samykya
  • Girl/Female

    Indian, Telugu

    Samykya

    United

  • NTHANDA
  • Female

    African

    NTHANDA

    star.

  • Sabriya
  • Girl/Female

    Indian

    Sabriya

    Patient, Fem of Sabri

  • Randon
  • Surname or Lastname

    English

    Randon

    English : variant of Rand 1, from the Old French oblique case.

  • Hittite
  • Biblical

    Hittite

    one who is broken; who fears

  • Praney
  • Boy/Male

    Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu

    Praney

    Lord Shiva; Obedient

  • Bernhardo
  • Boy/Male

    German

    Bernhardo

    Bear; Courageous; Brave as a Bear

  • Sudyumn
  • Boy/Male

    Hindu, Indian, Marathi

    Sudyumn

    Very Glorious

  • Samarthya
  • Boy/Male

    Hindu, Indian, Marathi, Sanskrit

    Samarthya

    Strength; Capability; Courage

  • Vansh
  • Boy/Male

    Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi

    Vansh

    Generation; Coming Generation of Father; Family

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RESUMMATION

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