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1. Discussion on modified Sigmund sputtering formula NSTL国家科技图书文献中心

Shang, Shengfei |  Yang, Xiaoning... -  《Journal of Physics,D.Applied Physics》 - 2025,58(11) - 共8页

摘要：The modified Sigmund sputtering formula offers |  atoms. This formula introduces a parameter called |  improvements to the modified Sigmund formula under E < E-z |  high computational accuracy for calculating |  sputtering yields and the energy distribution of sputtered
关键词： sputtering yield |  energy distribution of sputtered atoms |  relative threshold energy E-z |  threshold energy E-th |  modified Sigmund's formula
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2. On the geometric trace of a generalized Selberg trace formula NSTL国家科技图书文献中心

Biro, Andras |  Toth, David -  《Forum mathematicum》 - 2025,37(2) - 547～579 - 共33页

摘要： formula was proved by the first named author in 1999. In |  operator. This formula was proved for discrete subgroups |  classical Selberg trace formula it was obtained by |  generalization of this generalized trace formula: we consider | A certain generalization of the Selberg trace
关键词： Selberg trace formula |  discrete subgroups of PSL(2, R)(n)
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3. PESIN ENTROPY FORMULA FOR EXTENDABLE CONTINUOUS OSELEDETS SPLITTINGS NSTL国家科技图书文献中心

Gang Liao |  Jinboye Yu -  《Discrete and continuous dynamical systems》 - 2025,45(5) - 1577～1590 - 共14页

摘要： formula for C~1 diffeomorphisms and show that it holds | In this paper, we consider the Pesin entropy |  for any ergodic SRB-like measure with extendable |  continuous Oseledets splitting of codimension one.
关键词： Pesin entropy formula |  C1 diffeomorphism |  SRB-like measure |  extendable continuous Oseledets splitting
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4. An elementary proof of the generalized Itô formula NSTL国家科技图书文献中心

Ondrejat, Martin |  Seidler, Jan -  《Mathematica Slovaca》 - 2025,75(1) - 205～214 - 共10页

摘要： & ocirc; formula can be extended from C2-functions to C1 | For one-dimensional semimartingales, the It | -functions with a locally absolutely continuous derivative | . We propose a new, different proof of this result | , which is simple, straightforward and quite elementary
关键词： continuous semimartingales |  c & agrave;dl & agrave;g semimartingales |  the It & ocirc; formula
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5. The Smarr formula within the Geroch-Held-Penrose formalism NSTL国家科技图书文献中心

Guilabert, Alberto |  Bargueno, Pedro -  《Classical and Quantum Gravity》 - 2025,42(7) - 共20页

摘要： formalism the Smarr formula for the Reissner-N & ouml | The connection between classical |  thermodynamics and black hole horizons is a fundamental topic |  in gravitational physics, offering a potential |  pathway to understanding quantum aspects of gravity
关键词： black hole thermodynamics |  GHP formalism |  Smarr formula |  entropy
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6. Impact of bladder size and shape on the accuracy of formula method for bladder volume evaluation NSTL国家科技图书文献中心

Shen, Jintao |  Zuo, Yaqi... -  《International urology and nephrology.》 - 2025,57(2) - 333～339 - 共7页

摘要： size and shape on the accuracy of the formula method | ). Bladder volume was also measured by the formula method V |  with the formula method, compared with 128.5 +/- 82.6 |  evaluated by the formula method was statistically lower |  of the formula method for estimating bladder volume
关键词： Bladder volume |  Bladder size |  Bladder shape |  Formula
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7. Innovative targeted protection of lactoferrin enriched whey increased the immunoactivity of infant formula NSTL国家科技图书文献中心

Lin Q. |  Wang Y.... -  《Food Bioscience》 - 2025,63 - 1～12 - 共12页

摘要： of infant formula. This study aimed to establish | ) to maintain the bioactivity of infant formula |  processing of infant formula, our control group was |  results showed that infant formula produced by |  immunoactivity of infant formula.
关键词： Infant formula |  Lactoferrin |  Membrane filtration |  Processing technology
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8. Applications of the Lipschitz Summation Formula and a Generalization of Raabe's Cosine Transform NSTL国家科技图书文献中心

Dixit, Atul |  Kumar, Rahul -  《Constructive approximation》 - 2025,61(1) - 179～218 - 共40页

摘要： branches of mathematics. The Lipschitz summation formula |  application by providing a new transformation formula which |  the Lipschitz summation formula. In the pursuit of | General summation formulas have been proved to |  be very useful in analysis, number theory and other
关键词： Lipschitz summation formula |  Raabe cosine transform |  Ramanujan's formula |  Hurwitz zeta function |  Lambert series
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9. A novel four parameter formula for the rotational spectra of even-even nuclei NSTL国家科技图书文献中心

Obaid, A. |  Khalaf, A. M.... -  《Nuclear Physics,A》 - 2025,1053 - 共19页

摘要： four parameter formula based on developing an | -Mottelson Geometric Collective Model (GCM). The formula | In this article, the authors presents a novel |  expression for the moment of inertia in terms of Bohr |  provides an excellent agreement with the experimental
关键词： Novel 4 parameters formula |  Rotational spectra |  Even-even nuclei
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10. Residue formula for flag manifold of type A from wall-crossing NSTL国家科技图书文献中心

Ohkawa, Ryo -  《Journal of algebraic combinatorics》 - 2025,61(1) - 共12页

摘要： application, we give the determinantal formula of the | We consider equivariant integrals on flag |  manifolds of type A. Using a computational method inspired |  by the theory of wall-crossing formulas by Takuro |  Mochizuki, we re-prove residue formulas for equivariant
关键词： Flag manifold |  Wall-crossing formula |  Symmetric polynomial |  Grothendieck polynomial
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