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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
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
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
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
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
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
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
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
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
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
'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
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
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
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
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
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
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
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
Indian Scientist
theoretical high energy physics, including Light front quantization, resummation in quantum chromodynamics. Misra completed her primary education from
Anuradha_Misra
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
S2CID 119010760. Fleming, Sean; Leibovich, Adam K.; Mehen, Thomas (2006). "Resummation of Large Endpoint Corrections to Color-Octet J/psi Photoproduction".
Thomas_Carlos_Mehen
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
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
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
frame Restoring force Restricted open-shell Hartree–Fock Resultant tone Resummation Retarded position Retarded potential Retarded time Retentivity Retreating
Index_of_physics_articles_(R)
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Girl/Female
Indian, Telugu
United
Female
African
star.
Girl/Female
Indian
Patient, Fem of Sabri
Surname or Lastname
English
English : variant of Rand 1, from the Old French oblique case.
Biblical
one who is broken; who fears
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Lord Shiva; Obedient
Boy/Male
German
Bear; Courageous; Brave as a Bear
Boy/Male
Hindu, Indian, Marathi
Very Glorious
Boy/Male
Hindu, Indian, Marathi, Sanskrit
Strength; Capability; Courage
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi
Generation; Coming Generation of Father; Family
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