Results 101 to 110 of about 786,832 (288)
Combinatorial proofs of identities involving symmetric matrices [PDF]
Journal of Combinatorics, 2019 Brualdi and Ma found a connection between involutions of length $n$ with $k$ descents and symmetric $k\times k$ matrices with non-negative integer entries summing to $n$ and having no row or column of zeros. From their main theorem they derived two alternating sums by algebraic means and asked for combinatorial proofs.
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Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
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Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials
Abstract and Applied Analysis, 2009 By the properties of p-adic invariant integral on ℤp, we establish various identities concerning the generalized Bernoulli numbers and polynomials. From the symmetric properties of p-adic invariant integral on ℤp, we give some interesting relationship ...
Taekyun Kim, Seog-Hoon Rim, Byungje Lee
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ON SOME PROPERTIES OF UNBOUNDED BILINEAR FORMS ASSOCIATED WITH SKEW-SYMMETRIC L2(Ω)-MATRICES
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2013 We study the bilinear forms on the space of measurable square-integrable functionswhich are generated by skew-symmetric matrices with unbounded coecients.We show that in the case when a skew-symmetric matrix contains L2-elements, the corresponding ...
P. I. Kogut
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A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
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The Polarization Theorem and Polynomial Identities for Matrix Functions
Известия Иркутского государственного университета: Серия "Математика", 2017 In this article the simple combinatorial proof of the known polarization theorem (about the restoration of a polyadditive symmetric function over its values on a diagonal) is given.
G.P. Egorychev
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Advanced Engineering Materials, EarlyView.Thermomechanical fatigue tests of laser beam powder bed fusion (PBF‐LB) Inconel 718 show that the additively manufactured material reaches almost the lifetimes of conventionally‐rolled material under no‐dwell conditions. Introducing dwell times at the maximum temperature markedly reduces the lifetimes due to pronounced grain boundary sliding associated
Stefan Guth +6 more
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Two Variable Pfaffian Identities and Symmetric Functions [PDF]
Journal of Algebraic Combinatorics, 1996 The author proves identities for the Pfaffians \[ \text{Pf} \left( {y_i - y_j \over x_i + x_j} \right) \quad \text{and} \quad \text{Pf} \left( {y_i - y_j \over 1 + x_i x_j} \right) \] and then explores various special cases which give identities involving Pfaffians and Schur functions. One corollary is the explicit expansion of the plethysm \(p_2 \circ
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Stanley's character polynomials and coloured factorisations in the symmetric group [PDF]
, 2008 In Stanley [R.P. Stanley, Irreducible symmetric group characters of rectangular shape, Sém. Lothar. Combin. 50 (2003) B50d, 11 p.] the author introduces polynomials which help evaluate symmetric group characters and conjectures that the coefficients of ...
Rattan, Amarpreet
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Advanced Engineering Materials, EarlyView.This article investigates the dependence of the properties on the manufacturing orientation in the form of the inclination angle to the build plate of LPBF‐fabricated NiTi rods with a diameter of 150–220 µm. Metallographic, chemical, thermal, and mechanical characterization show behavior under identical manufacturing conditions that ranges from ...
Sandra Herzig +2 more
wiley +1 more source