Results 71 to 80 of about 1,555,765 (257)
Some Applications of Generalized Char-Sets of Ordinary Differential Polynomial Sets
MATEC Web of Conferences, 2016 The notion of characteristic sets, which are a special kind of triangular sets, is introduced by J. F Ritt and W.T. Wu. Wu extended Ritt’s work and developed the characteristic set method not only in theory but in algorithms, efficiency and its numerous ...
Afzal Farkhanda
doaj +1 more source
Matrices with prescribed entries and characteristic polynomial
, 1974 It is proved that there exists an n × n n \times n matrix over an arbitrary field with n − 1 n - 1 prescribed entries and prescribed characteristic polynomial.
J. A. Dias da Silva
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dynoGP: Deep Gaussian Processes for Dynamic System Identification
International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
wiley +1 more source
Characteristic Polynomial and Finding Eigenvectors.
Conventionally, finding the eigenvectors of a matrix A involves first determining the eigenvalues which are the roots of the characteristic polynomial and then the eigenvectors corresponding to an eigenvalue \lambda are obtained by solving the system of ...
Areerak Chaiworn, Bunthita Chattae
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, 2008 Götze F, Kösters H. On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2009;285(3):1183-1205.We consider the asymptotics of the second-order correlation function
Kösters, Holger +3 more
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt +5 more
wiley +1 more source
The study of the characteristic polynomial of graphs
, 2011 碩士假設A是n階方陣，A的特徵多項式為p(A,x)=det(xI-A)，其中I是n階單位方陣。令G為一含有n個點的簡單圖且A(G)為圖G的鄰接矩陣， 我們稱A(G)的特徵多項式為G的特徵多項式，記為p(G,x)=det(xI-A(G))，其中I是n階單位方陣。 在本論文中我們直接計算出完全圖與星圖的特徵多項式，對於路徑與迴圈我們可得其遞迴關係式；由前面的計算我們得到行列式的化簡與圖之間的關係，推導出圖中含有degree 1的點或含有degree 2的點及含有一個橋的特徵多項式 ...
李明峯; Li, Ming-Feng
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On the Euler characteristic of fibres of real polynomial maps [PDF]
, 1998 Let Y be a real algebraic subset of $^m$ and $F:Y → ^n$ be a polynomial map. We show that there exist real polynomial functions $g_1, ..., g_s$ on $^n$ such that the Euler characteristic of fibres of $F$ is the sum of signs of $g_i$
Zbigniew Szafraniec +3 more
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Advanced Engineering Materials, EarlyView.Sustainability assessment requires methodologies that appropriately distinguish between additive and non‐additive material properties. A toxicity‐weighted scoring system is developed and applied that accounts for the disproportionate influence of highly toxic constituents through nonlinear weighting functions, providing more realistic estimates than ...
Seth Mehalic +2 more
wiley +1 more source