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• A formula for the $n^{\rm th}$ decimal digit or binary of $π$ and powers of $π$
  By using an asymptotic formula known for the numbers of Euler and Bernoulli it is possible to obtain an explicit expression of the nth digit of $π$ in decimal or in binary, it also makes it possible to obtain the $n^{\rm th}$ digit of powers of $π^n$.
  arxiv Simon Plouffe 2022-01-29T15:06:35Z 置信度 0.78 math.NT
• A composition formula for manifold structures
  The structure set $\ST^{TOP}(M)$ of an $n$-dimensional topological manifold $M$ for $n \geqslant 5$ has a homotopy invariant functorial abelian group structure, by the algebraic version of the Browder-Novikov-Sullivan-Wall surgery theory. An element $(N,f) \in…
  arxiv Andrew Ranicki 2006-08-29T18:24:50Z 置信度 0.78 math.ATmath.GT
• Equivalence of Three Wall Crossing Formulae
  The wall crossing formula of Kontsevich and Soibelman gives an implicit relation between the BPS indices on two sides of the wall of marginal stability by equating two symplectomorphisms constructed from the indices on two sides of the wall. The wall crossing …
  arxiv Ashoke Sen 2011-12-12T11:46:07Z 置信度 0.78 hep-thmath.AG
• A Nekrasov-Okounkov formula for Macdonald polynomials
  We prove a Macdonald polynomial analogue of the celebrated Nekrasov-Okounkov hook-length formula from the theory of random partitions. As an application we obtain a proof of one of the main conjectures of Hausel and Rodriguez-Villegas from their work on mixed …
  arxiv Eric M. Rains, S. Ole Warnaar 2016-06-15T01:52:47Z 置信度 0.78 math.COmath-phmath.AG
• A new algorithm for computing the multivariate Faà di Bruno's formula
  A new algorithm for computing the multivariate Faà di Bruno's formula is provided. We use a symbolic approach based on the classical umbral calculus that turns the computation of the multivariate Faà di Bruno's formula into a suitable multinomial expansion. We…
  arxiv E. Di Nardo, G. Guarino, D. Senato 2010-12-29T19:20:00Z 置信度 0.78 math.COmath.ST
• A Ratio of Alternants Formula for Loop Schur Functions
  Lam and Pylyavskyy introduced loop symmetric functions as a generalization of symmetric functions. They defined loop Schur functions as generating functions over semistandard tableaux with respect to a `colored weight,' and they proved a Jacobi--Trudi-style de…
  arxiv Gabriel Frieden 2015-04-15T05:01:16Z 置信度 0.78 math.CO
• Computing the matrix fractional power with the double exponential formula
  Two quadrature-based algorithms for computing the matrix fractional power $A^α$ are presented in this paper. These algorithms are based on the double exponential (DE) formula, which is well-known for its effectiveness in computing improper integrals as well as…
  arxiv Fuminori Tatsuoka, Tomohiro Sogabe, Yuto Miyatake, Tomoya Kemmochi 等 2020-12-03T02:57:10Z 置信度 0.78 math.NA
• An analogue of a formula of Popov
  Let $r_{k}(n)$ denote the number of representations of the positive integer $n$ as the sum of $k$ squares. We prove a new summation formula involving $r_{k}(n)$ and the Bessel functions of the first kind, which constitutes an analogue of a result due to the Ru…
  arxiv Pedro Ribeiro 2024-08-03T11:54:36Z 置信度 0.78 math.NTmath.CA
• The trace formula and prehomogeneous vector spaces
  We describe an approach to express the geometric side of the Arthur-Selberg trace formula in terms of zeta integrals attached to prehomogeneous vector spaces. This will provide explicit formulas for weighted orbital integrals and for the coefficients by which …
  arxiv Werner Hoffmann 2014-12-30T16:21:26Z 置信度 0.78 math.RT
• Geometrization of Trace Formulas
  Following our joint work arXiv:1003.4578 with Robert Langlands, we make the first steps toward developing geometric methods for analyzing trace formulas in the case of the function field of a curve defined over a finite field. We also suggest a conjectural fra…
  arxiv Edward Frenkel, Ngo Bao Chau 2010-04-29T15:26:27Z 置信度 0.78 math.RTmath.AGmath.NT
• A combinatorial description of the affine Gindikin-Karpelevich formula of type A_n^(1)
  The classical Gindikin-Karpelevich formula appears in Langlands' calculation of the constant terms of Eisenstein series on reductive groups and in Macdonald's work on p-adic groups and affine Hecke algebras. The formula has been generalized in the work of Garl…
  arxiv Seok-Jin Kang, Kyu-Hwan Lee, Hansol Ryu, Ben Salisbury 2012-03-07T21:35:53Z 置信度 0.78 math.RTmath.CO
• Improving Robustness of TCM-based Robust Steganography with Variable Robustness
  Recent study has found out that after multiple times of recompression, the DCT coefficients of JPEG image can form an embedding domain that is robust to recompression, which is called transport channel matching (TCM) method. Because the cost function of the ad…
  arxiv Jimin Zhang, Xianfeng Zhao, Xiaolei He 2022-11-18T08:49:03Z 置信度 0.78 cs.CR
• Superconnections and An Intrinsic Gauss-Bonnet-Chern Formula for Finsler Manifolds
  In this paper, we establish an intrinsic Gauss-Bonnet-Chern formula for Finsler manifolds by using the Mathai-Quillen's superconnection formalism, in which no extra vector field is involved. Furthermore, we prove a more general Lichnerowicz formula in this dir…
  arxiv Huitao Feng, Ming Li 2016-07-22T09:31:57Z 置信度 0.78 math.DG
• Scout-Dose-TCM: Direct and Prospective Scout-Based Estimation of Personalized Organ Doses from Tube Current Modulated CT Exams
  This study proposes Scout-Dose-TCM for direct, prospective estimation of organ-level doses under tube current modulation (TCM) and compares its performance to two established methods. We analyzed contrast-enhanced chest-abdomen-pelvis CT scans from 130 adults …
  arxiv Maria Jose Medrano, Sen Wang, Liyan Sun, Abdullah-Al-Zubaer Imran 等 2025-06-30T17:13:00Z 置信度 0.78 physics.med-ph
• TCM-NOMA: Joint Multi-user Codeword Design and Detection in Trellis Coded Modulation based NOMA for Beyond 5G
  In this paper, we propose a novel non-orthogonal multiple access (NOMA) scheme based on trellis-coded modulation (TCM). Different from those in the traditional code-domain NOMA, the incoming data streams of multiple users are jointly coded and mapped to the co…
  arxiv Boya Di, Lingyang Song, Yonghui Li, Geoffrey Ye Li 2019-02-04T10:13:14Z 置信度 0.78 cs.IT
• New Universal Deformation Formulas for deformation quantization
  Universal Deformation Formulas (UDFs) for the deformation of associative algebras play a key role in deformation quantization. Here we present examples for certain classes of infinitesimals. A basic representable 2-cocycle $F$ of an associative algebra $\mathc…
  arxiv Murray Gerstenhaber 2018-02-14T01:38:40Z 置信度 0.78 math.QAmath.RA
• Semicanonical bases and preprojective algebras II: A multiplication formula
  Let $n$ be a maximal nilpotent subalgebra of a complex symmetric Kac-Moody Lie algebra. Lusztig has introduced a basis of U(n) called the semicanonical basis, whose elements can be seen as certain constructible functions on varieties of nilpotent modules over …
  arxiv Christof Geiß, Bernard Leclerc, Jan Schröer 2005-09-21T15:06:54Z 置信度 0.78 math.RTmath.RA
• Formulas for pi(n) and the n-th prime
  Using inequalities of Rosser and Schoenfeld, we prove formulas for pi(n) and the n-th prime that involve only the elementary operations +,-,/ on integers, together with the floor function. Pascal Sebah has pointed out that the formula for pi(n) operates in O(n…
  arxiv Sebastian Martin Ruiz, Jonathan Sondow 2002-10-21T13:22:44Z 置信度 0.78 math.NTmath.HO
• On the Applicability Ranges of Tc Formulas for Proximity-Coupled Thin SN and SS Bilayers
  This brief note revisits the well-established $T_c$ formulas for proximity-coupled thin superconductor-normal conductor (SN) and superconductor-superconductor (SS) bilayers, highlighting their relationships and clarifying their ranges of applicability. Since t…
  arxiv Takayuki Kubo 2024-10-10T10:42:25Z 置信度 0.78 cond-mat.supr-conphysics.ins-det
• A formula for Plücker coordinates associated with a planar network
  For a planar directed graph G, Postnikov's boundary measurement map sends positive weight functions on the edges of G onto the appropriate totally nonnegative Grassmann cell. We establish an explicit formula for Postnikov's map by expressing each Pluecker coor…
  arxiv Kelli Talaska 2008-01-31T05:07:42Z 置信度 0.78 math.COmath.RA
• Explicit formulas for Grassmannian polylogarithms
  We give new explicit formulas for Grassmannian and Aomoto polylogarithms in terms of iterated integrals, for arbitrary weight. We also explicitly reduce the Grassmannian polylogarithm in weight 4 and in weight 5 each to depth 2. Furthermore, using this reducti…
  arxiv Steven Charlton, Herbert Gangl, Danylo Radchenko 2019-09-30T17:50:55Z 置信度 0.78 math.NTmath.KT
• Mathematical proof of errors in Capasso's excess noise factor formula for an n-step staircase multiplier
  Solid-state devices such as multistep staircase avalanche photodiodes (APDs) are analogues to the photomultiplier tubes and are considered as a cascade-amplifier. The major source of internal noise in these APDs is due to the randomness in their stepwise impac…
  arxiv Ankitha E Bangera 2025-06-11T12:10:09Z 置信度 0.78 eess.SPmath.PRphysics.app-phphysics.ins-det
• Hook formulas for skew shapes IV. Increasing tableaux and factorial Grothendieck polynomials
  We present a new family of hook-length formulas for the number of standard increasing tableaux which arise in the study of factorial Grothendieck polynomials. In the case of straight shapes our formulas generalize the classical hook-length formula and Stanley'…
  arxiv Alejandro H. Morales, Igor Pak, Greta Panova 2021-08-23T13:01:25Z 置信度 0.78 math.CO
• The p-adic Gross-Zagier formula on Shimura curves
  We prove a general formula for the $p$-adic heights of Heegner points on modular abelian varieties with potentially ordinary (good or semistable) reduction at the primes above $p$. The formula is in terms of the cyclotomic derivative of a Rankin-Selberg $p$-ad…
  arxiv Daniel Disegni 2015-10-07T20:24:50Z 置信度 0.78 math.NT
• Hook formulas for skew shapes III. Multivariate and product formulas
  We give new product formulas for the number of standard Young tableaux of certain skew shapes and for the principal evaluation of the certain Schubert polynomials. These are proved by utilizing symmetries for evaluations of factorial Schur functions, extensive…
  arxiv Alejandro H. Morales, Igor Pak, Greta Panova 2017-07-04T11:50:47Z 置信度 0.78 math.CO
• Certifying the LTL Formula p Until q in Hybrid Systems
  In this paper, we propose sufficient conditions to guarantee that a linear temporal logic (LTL) formula of the form p Until q, denoted by $p \mathcal{U} q$, is satisfied for a hybrid system. Roughly speaking, the formula $p \mathcal{U} q$ is satisfied means th…
  arxiv Hyejin Han, Mohamed Maghenem, Ricardo G. Sanfelice 2021-06-11T15:27:05Z 置信度 0.78 eess.SY
• A Girsanov-type formula for a class of anticipative transforms of Brownian motion associated with exponential functionals
  In this paper, with the help of a result by Matsumoto--Yor (2000), we prove a Girsanov-type formula for a class of anticipative transforms of Brownian motion which possesses exponential functionals as anticipating factors. Our result unifies existing formulas …
  arxiv Yuu Hariya 2022-11-23T07:42:21Z 置信度 0.78 math.PR
• A Non-Invasive Interpretable NAFLD Diagnostic Method Combining TCM Tongue Features
  Non-alcoholic fatty liver disease (NAFLD) is a clinicopathological syndrome characterized by hepatic steatosis resulting from the exclusion of alcohol and other identifiable liver-damaging factors. It has emerged as a leading cause of chronic liver disease wor…
  arxiv Shan Cao, Qunsheng Ruan, Qingfeng Wu, Weiqiang Lin 2023-09-06T12:55:59Z 置信度 0.78 eess.IVcs.CV
• Explicit error bounds of the SE and DE formulas for integrals with logarithmic and algebraic singularity
  The single exponential (SE) and double exponential (DE) formulas are widely recognized as efficient quadrature formulas for evaluating integrals with endpoint singularity. For integrals exhibiting algebraic singularity, explicit error bounds in a computable fo…
  arxiv Tomoaki Okayama, Kosei Arakawa, Ryo Kamigaki, Eita Yabumoto 2024-11-29T14:59:52Z 置信度 0.78 math.NA
• A Chevalley formula for the equivariant quantum K-theory of cominuscule varieties
  We prove a type-uniform Chevalley formula for multiplication with divisor classes in the equivariant quantum $K$-theory ring of any cominuscule flag variety $G/P$. We also prove that multiplication with divisor classes determines the equivariant quantum $K$-th…
  arxiv Anders S. Buch, Pierre-Emmanuel Chaput, Leonardo C. Mihalcea, Nicolas Perrin 2016-04-26T03:01:57Z 置信度 0.78 math.AGmath.CO
• Leray-Hirsch theorem and blow-up formula for Dolbeault cohomology
  We prove a theorem of Leray-Hirsch type and give an explicit blow-up formula for Dolbeault cohomology on (\emph{not necessarily compact}) complex manifolds. We give applications to strongly $q$-complete manifolds and the $\partial\bar{\partial}$-lemma.
  arxiv Lingxu Meng 2018-06-29T14:30:05Z 置信度 0.78 math.AGmath.DG
• Recursion formulas for nonlinear density fluctuations near the glass transition
  The time-convolutionless mode-coupling (TMCT) equation for the intermediate scattering function $f_α(q,t)$ derived recently by the present author is transformed into a simple nonlinear recursion formula for a generating function $Ω_α(\bm{q},t)(=-\ln[f_α(q,t)]/…
  arxiv Michio Tokuyama 2014-09-17T00:32:48Z 置信度 0.78 cond-mat.stat-mech
• Multiplication formula for Hernandez and Leclerc's quivers with potentials
  In this paper, we study multiplication formula of $F$-polynomial of representations of Hernandez and Leclerc's quivers with potentials. Since the truncated $q$-characters of some real simple modules over a quantum affine group $U_q(\widehat{\mathfrak{g}})$ can…
  arxiv Yingjin Bi 2024-05-18T09:00:39Z 置信度 0.78 math.RTmath.QAmath.RA
• Lifshitz formula by spectral summation method
  The Lifshitz formula is derived by making use of the spectral summation method which is a mathematically rigorous simultaneous application of both the mode-by-mode summation technique and scattering formalism. The contributions to the Casimir energy of electro…
  arxiv V. V. Nesterenko, I. G. Pirozhenko 2011-12-12T16:06:42Z 置信度 0.78 quant-phhep-th
• Wang-Sun Formula in $\overrightarrow{GL}(\mathbb{Z}/2k\mathbb{Z})$
  Wang and Sun proved a certain summatory formula involving derangements and primitive roots of the unit. We study such a formula but for the particular case of the set of affine derangements in $\overrightarrow{GL}(\mathbb{Z}/2k\mathbb{Z})$ and its subset of in…
  arxiv Octavio A. Agustín-Aquino 2022-07-29T06:20:02Z 置信度 0.78 math.NT
• Analytical recurrence formulas for non-trivial zeros of the Riemann zeta function
  In this article, we develop four types of analytical recurrence formulas for non-trivial zeros of the Riemann zeta function on critical line assuming (RH). Thus, all non-trivial zeros up to the $n$th order must be known in order to generate the $n$th+1 non-tri…
  arxiv Artur Kawalec 2020-12-13T21:30:44Z 置信度 0.78 math.NT
• The mass formula for a fundamental string as a BPS solution of a D-brane's worldvolume
  We propose a (generalized) ``mass formula'' for a fundamental string described as a BPS solution of a D-brane's worldvolume. The mass formula is obtained by using the Hamiltonian density on the worldvolume, based on transformation properties required for it. I…
  arxiv Takeshi Sato 1999-06-11T09:15:16Z 置信度 0.78 hep-th
• Intersection Forms and the Adjunction Formula for Four-manifolds via CR Geometry
  This is primarily an expository note showing that earlier work of Lai on CR geometry provides a clean interpretation, in terms of a Gauss map, for an adjunction formula for embedded surfaces in an almost complex four manifold. We will see that if F is a surfac…
  arxiv Mikhail Chkhenkeli, Thomas Garrity 1999-04-02T14:18:19Z 置信度 0.78 math.DG
• Localization in equivariant intersection theory and the Bott residue formula
  The purpose of this paper is to prove the localization theorem for torus actions in equivariant intersection theory. Using the theorem we give another proof of the Bott residue formula for Chern numbers of bundles on smooth complete varieties. In addition, our…
  arxiv Dan Edidin, William Graham 1995-08-01T20:59:02Z 置信度 0.78 math.AG
• The Precise Formula in a Sine Function Form of the norm of the Amplitude and the Necessary and Sufficient Phase Condition for Any Quantum Algorithm with Arbitrary Phase Rotations
  In this paper we derived the precise formula in a sine function form of the norm of the amplitude in the desired state, and by means of he precise formula we presented the necessary and sufficient phase condition for any quantum algorithm with arbitrary phase …
  arxiv Dafa Li 2001-07-03T06:39:59Z 置信度 0.78 quant-ph
• The Harer-Zagier and Jackson formulas and new results for one-face bipartite maps
  The study of bipartite maps (or Grothendieck's dessins d'enfants) is closely connected with geometry, mathematical physics and free probability. Here we study these objects from their permutation factorization formulation using a novel character theory approac…
  arxiv Ricky X. F. Chen 2023-02-07T16:35:22Z 置信度 0.78 math.CO
• Closed Form of the Baker-Campbell-Hausdorff Formula for the Generators of Semisimple Complex Lie Algebras
  Recently it has been introduced an algorithm Baker-Campbell-Hausdorff (BCH) formula, which extends the Van-Brunt and Visser recent results, leading to new closed forms of BCH formula. More recently, it has been shown that there are {\it 13 types} of such commu…
  arxiv Marco Matone 2015-04-20T19:48:54Z 置信度 0.78 math-phhep-phhep-thmath.RTquant-ph
• Product formulas on posets, Wick products, and a correction for the $q$-Poisson process
  We give an example showing that the product and linearization formulas for the Wick product versions of the $q$-Charlier polynomials in (Anshelevich 2004) are incorrect. Next, we observe that the relation between monomials and several families of Wick polynomi…
  arxiv Michael Anshelevich 2017-08-27T01:51:19Z 置信度 0.78 math.OAmath.CO
• Hilbert matrix norms on weighted Bergman spaces: even exponents and a counterexample to the beta formula
  Let $A_α^p$ be the weighted Bergman space on the unit disk, where $α>-1$. For $f(z)=\sum_{k=0}^{\infty}a_k z^k\in A_α^p$, consider the Hilbert matrix operator $\mathcal{H}f(z)=\sum_{n=0}^{\infty}\left(\sum_{k=0}^{\infty}\frac{a_k}{n+k+1}\right)z^n =\int_0^1…
  arxiv Hasi Wulan, Mengmeng Zhou, Jian-Feng Zhu 2026-07-26T08:31:26Z 置信度 0.78 math.CV
• New test vector for Waldspurger's period integral, relative trace formula, and hybrid subconvexity bounds
  In this paper we give quantitative local test vectors for Waldspurger's period integral (i.e., a toric period on $\text{GL}_2$) in new cases with joint ramifications. The construction involves minimal vectors, rather than newforms and their variants. This pape…
  arxiv Yueke Hu, Paul D. Nelson 2018-10-27T00:19:35Z 置信度 0.78 math.NT
• An equivariant index formula for elliptic actions on contact manifolds
  Given an elliptic action of a compact Lie group $G$ on a co-oriented contact manifold $(M,E)$ one obtains two naturally associated objects: A $G$-transversally elliptic operator $\dirac$, and an equivariant differential form with generalised coefficients $\mat…
  arxiv Sean Fitzpatrick 2007-12-14T19:16:14Z 置信度 0.78 math.DGmath.SG
• Independent electrons model for open quantum systems: Landauer-Buettiker formula and strict positivity of the entropy production
  A general argument leading from the formula for currents through an open noninteracting mesoscopic system given by the theory of non-equilibrium steady states (NESS) to the Landauer-Buettiker formula is pointed out. Time reversal symmetry is not assumed. As a …
  arxiv G. Nenciu 2006-10-26T13:08:53Z 置信度 0.78 math-ph
• Some infinite matrix analysis, a Trotter product formula for dissipative operators, and an algorithm for the incompressible Navier-Stokes equation
  We introduce a global scheme on the n-torus of a controlled incompressible Navier-Stokes equation in terms of a coupled controlled infinite ODE-system of Fourier-modes with smooth data. We construct a scheme of global approximations related to linear partial i…
  arxiv Joerg Kampen 2012-12-11T12:48:02Z 置信度 0.78 math.AP
• TCM-Serve: Modality-aware Scheduling for Multimodal Large Language Model Inference
  Multimodal Large Language Models (MLLMs) power platforms like ChatGPT, Gemini, and Copilot, enabling richer interactions with text, images, and videos. These heterogeneous workloads introduce additional inference stages, such as vision preprocessing and encodi…
  arxiv Konstantinos Papaioannou, Thaleia Dimitra Doudali 2026-03-27T15:00:53Z 置信度 0.78 cs.DCcs.AI
• Six operations and Lefschetz-Verdier formula for Deligne-Mumford stacks
  Laszlo and Olsson constructed Grothendieck's six operations for constructible complexes on Artin stacks in étale cohomology under an assumption of finite cohomological dimension, with base change established on the level of sheaves. In this article we give a m…
  arxiv Weizhe Zheng 2010-06-18T21:11:50Z 置信度 0.78 math.AG
• Some properties of extended remainder of Binet's first formula for logarithm of gamma function
  In the paper, we extend Binet's first formula for the logarithm of the gamma function and investigate some properties, including inequalities, star-shaped and sub-additive properties and the complete monotonicity, of the extended remainder of Binet's first for…
  arxiv Feng Qi, Bai-Ni Guo 2009-04-07T11:43:42Z 置信度 0.78 math.CA
• The Spearman-Brown Formula and Reliabilities of Random Test Forms
  It is shown that the psychometric test reliability, based on any true-score model with randomly sampled items and conditionally independent errors, converges to 1 as the test length goes to infinity, assuming some fairly general regularity conditions. The asym…
  arxiv Jules L. Ellis 2023-08-26T08:28:44Z 置信度 0.78 stat.ME
• Kac-Ward formula and its extension to order-disorder correlators through a graph zeta function
  A streamlined derivation of the Kac-Ward formula for the planar Ising model's partition function is presented and applied in relating the kernel of the Kac-Ward matrices' inverse with the correlation functions of the Ising model's order-disorder correlation fu…
  arxiv Michael Aizenman, Simone Warzel 2017-09-18T17:14:49Z 置信度 0.78 math-ph
• Economic Design of Memory-Type Control Charts: The Fallacy of the Formula Proposed by Lorenzen and Vance (1986)
  The memory-type control charts, such as EWMA and CUSUM, are powerful tools for detecting small quality changes in univariate and multivariate processes. Many papers on economic design of these control charts use the formula proposed by Lorenzen and Vance (1986…
  arxiv Amir Ahmadi-Javid, Mohsen Ebadi 2017-08-21T11:38:26Z 置信度 0.78 stat.APcs.CEecon.GNmath.OC
• 1st Place Solution for ICDAR 2021 Competition on Mathematical Formula Detection
  In this technical report, we present our 1st place solution for the ICDAR 2021 competition on mathematical formula detection (MFD). The MFD task has three key challenges including a large scale span, large variation of the ratio between height and width, and r…
  arxiv Yuxiang Zhong, Xianbiao Qi, Shanjun Li, Dengyi Gu 等 2021-07-12T16:03:16Z 置信度 0.78 cs.CVcs.AI
• Noncommutative $L_p$-differentiability and trace formulae
  Let $\mathcal{M}$ be a semifinite von Neumann algebra equipped with a normal faithful semifinite trace $τ$, and let $L_p(\mathcal{M})$ denote the associated noncommutative $L_p$-space for $1<p<\infty$. Let $n\in\mathbb{N}$ and let $a, b$ be $τ$-measurabl…
  arxiv Arup Chattopadhyay, Clément Coine, Saikat Giri, Chandan Pradhan 2026-02-11T09:49:06Z 置信度 0.78 math.OAmath-phmath.FAmath.SP
• On the formula for the PI-exponent of Lie algebras
  We prove that one of the conditions in M.V. Zaicev's formula for the PI-exponent and in its natural generalization for the Hopf PI-exponent, can be weakened. Using the modification of the formula, we prove that if a finite dimensional semisimple Lie algebra ac…
  arxiv Alexey Sergeevich Gordienko 2012-11-06T15:46:09Z 置信度 0.78 math.RA
• A product formula for the eigenfunctions of a quartic oscillator
  We consider the Schrödinger operator on the real line with an even quartic potential. Our main result is a product formula of the type $ψ_k(x)ψ_k(y) = \int_{\mathbb{R}} ψ_k(z)\mathcal{K}(x,y,z)dz$ for its eigenfunctions $ψ_k$. The kernel function $\mathcal{K}$…
  arxiv Martin Hallnäs, Edwin Langmann 2013-12-12T14:29:09Z 置信度 0.78 math-phmath.CA
• A Tibetan Herbal Formula Understood from a Phytotherapeutical Perspective of tcm
  In this article I aim to describe the Tibetan formula Padma 28 from the perspective of traditional Chinese medicine ( tcm ) phytotherapy as practised in Europe. As a biomedical physician and tcm practitioner, familiar also with traditional Tibetan medicine ( t…
  crossref Florian Ploberger 2016-10-07T14:08:53Z 置信度 0.70
• Formula That Stabilizes the Exterior and Lungs
  crossref 2024-09-11T01:43:58Z 置信度 0.70
• Mining Anti-Infectious Bronchitis Virus Medication Rules and Verifying Formula Efficacy via the TCM Inheritance Computing Platform
  crossref 2026-06-10T05:38:40Z 置信度 0.70
• Formula that Clears Heat and Guides out Phlegm
  crossref 2024-09-11T01:43:58Z 置信度 0.70
• Formula to Guide Heat Out of the Organs
  crossref 2024-09-11T01:43:58Z 置信度 0.70
• Formula That Supports the Free Flowing of Qi
  crossref 2024-09-11T01:43:58Z 置信度 0.70
• Formula That Guide Heat Out of the Qi Level
  crossref 2024-09-11T01:43:58Z 置信度 0.70
• Research on technology innovation efficiency of TCM formula granule enterprises based on three-stage data envelope analysis model
  europepmc 2026 置信度 0.80
• An anti-SARS-CoV-2 formula consisting volatile oil from TCM through inhibiting multiple targets in cultured cells
  Abstract At present, coronavirus severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) and its variant virus are prevalent all over the world, taking a major toll on human lives worldwide. Oral mucosa and saliva are the high-risk routes of transmission.…
  crossref Huan Zhang, Wuyan Guo, Jing Shen, Xiaorui Song 等 2024-05-23T01:05:20Z 置信度 0.70
• Innovation and inheritance: A novel strategy for the development of anti-yellowing cosmetic material from TCM formula
  europepmc 2020 置信度 0.80
• Formula that Releases the Exterior Where the Head and Neck Are Affected
  crossref 2024-09-11T01:43:58Z 置信度 0.70
• New Progress in the Research of TCM Clinical Formula in the Treatment of Polycystic Ovary Syndrome
  crossref 熙 温 2019-01-17T02:43:26Z 置信度 0.70
• Study on Chinese Classic Herbal Formula of Royal Gold Tonica
  crossref 磊 赵 2023-05-23T08:20:46Z 置信度 0.70
• Real-World Drug-Adverse Reaction Prediction of Combined use of TCM Formula Granules and Western Medicine
  crossref Heng Weng, Bo Xiao, Wei Zhou, Yini Luo 2024-12-12T19:07:29Z 置信度 0.70
• TREATMENT OF CORONARY HEART DISEASE AND ANGINA PECTORIS THROUGH THE SYSTEMS PHARMACOLOGY INVESTIGATION LEVEL IN THE MECHANISMS OF TCM WITH THE GUANXIN SHUTONG CAPSULE FORMULA
  crossref Akhtar Hussain Shar, Hany M. El-Wahsh, Mohamed Shahen, Zihu Guo 等 2020-03-02T03:04:41Z 置信度 0.70
• Treating serious cough with half dose of formula
  crossref 2018-08-15T02:43:35Z 置信度 0.70
• LanGui tea, an herbal medicine formula, protects against binge alcohol-induced acute liver injury by activating AMPK-NLRP3 signaling
  Abstract Background LanGui tea, a traditional Chinese medicine formulation comprising of Gynostemma pentaphyllum (Thunb.) Makino, Cinnamomum cassia (L.) J. Presl, and Ampelopsis grossedentata (Hand-Mazz) W.T. Wang, has yet to have its potential contributions t…
  crossref Ming Gu, Yu-jun Chen, Ya-ru Feng, Zhi-peng Tang 2024-03-04T11:01:36Z 置信度 0.70
• TCM Formula for Trauma Treatment Screening and its Role of Promoting Infectious Wound Coalescence Investigating
  crossref Siya LiSrAr, Bolin Gu, Jinwu Meng, Jinyue Zhu 等 2023-02-23T16:57:04Z 置信度 0.70
• Validation of a high performance liquid chromatography (HPLC) method for the quality control of the Traditional Chinese Medicine (TCM) formulation, Traditional Chinese formula Huanglianjiedutang (HLJDT)
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• Prof. Zhang Li Ran’s Clinical Experience in Treating Insomnia with the Formula of “Soul-Restoring, Reverse-Regulating and Pivot-Adjusting Formula”
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• Qige Huxin Formula Attenuates Isoprenaline-Induced Cardiac Fibrosis in Mice via Modulating Gut Microbiota and Protecting Intestinal Integrity
  Background. The composition and metabolic activities of gut microbiota are strongly interconnected with cardiac fibrosis (CF) and heart failure (HF). Qige Huxin formula (QHF), a traditional Chinese medicine (TCM) formulation originating from a classical Fangji…
  crossref Lipeng Shi, Xuqin Du, Biao Zuo, Jinyuan Hu 等 2022-07-20T20:35:26Z 置信度 0.70
• TCM und Schulmedizin
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• Research on the TCM Formula Law of Physician Wei Huafeng in Treating Cough Based on Data Mining and Network Pharmacology Analysis
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• Contribution Of CD8 T Cells To The Anti-Allergic Effects of the TCM Formula FAHF-2
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• Behandlungsmethoden der TCM
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• Ancient and Modern Literature on the Classical Formula of Linggui Zhugan Decoction
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• TCM formula optimization for treating diabetic peripheral neuropathy: Network pharmacology, machine learning, and experimental verification
  Background: Diabetic peripheral neuropathy (DPN) is a common chronic complication of diabetes mellitus that significantly impairs patients’ quality of life. Traditional Chinese medicine (TCM), as a major component of complementary and alternative medicine, has…
  crossref Yang Du, Juqin Peng, Fuzhi Zhang, Qingyuan Yu 等 2026-03-26T12:01:00Z 置信度 0.70
• Zeit im Rahmen der TCM
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• Prinzipien und Philosophie der TCM
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• Study on HPLC Fingerprint of Imperata cylindrica Medicinal Material and Formula Granules
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• Experience in Treating Children with Pertussis Using the Self-Designed Feire Pingchuan Formula
  crossref 春华 王 2026-04-01T08:30:02Z 置信度 0.70
• A TCM herbal formula increases IGF-1 and IGFBP-1 levels in the sera and ovaries in an aged female rat model of menopause
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• Overview of Modern Pharmacological Research on the Classical Formula Sini Decoction Plus Ginseng Soup
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• TCM Wins Award
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• TCM in China — TCM im Westen
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• TCM Receivers Awards
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• Structures of [Ag(tcm)], [Ag(tcm)(phz)1/2] and [Ag(tcm)(pyz)] (tcm=tricyanomethanide, C(CN)3-, phz=phenazine, pyz=pyrazine)
  crossref Stuart R. Batten, Bernard F. Hoskins, Richard Robson 2002-07-26T05:17:16Z 置信度 0.70
• An Integrated Pharmacology-Based Analysis for Antidepressant Mechanism of Chinese Herbal Formula Xiao-Yao-San
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• Effect of Static Load on the Nucleus Pulposus of Rabbit Intervertebral Disc Motion Segment in an Organ Culture
  The development of mechanically active culture systems helps in understanding of the role of mechanical stress in intervertebral disc (IVD) degeneration. Motion segment cultures facilitate the application and control of mechanical loads. The purpose of this st…
  crossref Jia-Wen Zhan, Min-Shan Feng, Li-Guo Zhu, Ping Zhang 等 2016-10-31T17:00:42Z 置信度 0.70
• Efficacy and safety of Chinese patent medicine injection for COVID-19
  crossref Meiqi Lu, Zhen Lu, Ting Zhang, Wei Wang 等 2020-06-19T13:00:36Z 置信度 0.70
• TCM ist die menschliche Erfahrung im Kampf gegen Krankheiten
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• Gesund leben mit TCM
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