Results 21 to 30 of about 479 (182)
The Expected Characteristic and Permanental Polynomials of the Random Gram Matrix [PDF]
The Electronic Journal of Combinatorics, 2014 A $t \times n$ random matrix $A$ can be formed by sampling $n$ independent random column vectors, each containing $t$ components. The random Gram matrix of size $n$, $G_{n}=A^{T}A$, contains the dot products between all pairs of column vectors in the randomly generated matrix $A$, and has characteristic roots coinciding with the singular values of $A$.
Martin, Jacob G., Canfield, E. Rodney
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Extremal Bicyclic Graphs with Respect to Permanental Sums and Hosoya Indices
AxiomsGraph polynomials is one of the important research directions in mathematical chemistry. The coefficients of some graph polynomials, such as matching polynomial and permanental polynomial, are related to structural properties of graphs.
Tingzeng Wu, Yinggang Bai, Shoujun Xu
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Permanental Polynomial Identities on Matrix Rings
Journal of Algebra, 1994 Let \(\Gamma\) be a directed graph, \(V\) the set of vertices, \(e_ 1,\dots,e_ N\) the set of edges of \(\Gamma\). Let \(\Phi_ +(v)\) (resp. \(\Phi_ -(v)\)) be the number of the edges starting (resp. ending) in \(v\). \(\Gamma\) is called Eulerian if \(\Phi_ +(v) = \Phi_ -(v)\) for all \(v\in V\).
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Advanced Functional Materials, EarlyView.MagPiezo enables wireless activation of endogenous Piezo1 channels without genetic modification using 19 nm magnetic nanoparticles and low‐intensity magnetic fields. It generates torque forces at the piconewton scale to trigger mechanotransduction in endothelial cells, standing as a novel platform to interrogate and manipulate Piezo1 activity in vitro.
Susel Del Sol‐Fernández +7 more
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Cell shape analysis of random tessellations based on Minkowski tensors
, 2016 To which degree are shape indices of individual cells of a tessellation characteristic for the stochastic process that generates them? Within the context of stochastic geometry and the physics of disordered materials, this corresponds to the question of ...
A.M. Kraynik +71 more
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Determinantal and permanental representations of Fibonacci type numbers and polynomials [PDF]
Rocky Mountain Journal of Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kaygisiz, Kenan, Şahin, Adem
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Hard‐Magnetic Soft Millirobots in Underactuated Systems
Advanced Robotics Research, EarlyView.This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
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Limit theory for geometric statistics of point processes having fast decay of correlations
, 2018 Let $P$ be a simple,stationary point process having fast decay of correlations, i.e., its correlation functions factorize up to an additive error decaying faster than any power of the separation distance.
Blaszczyszyn, B. +2 more
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Reconfigurable Acoustofluidic Microvortices for Selective Microcargo Delivery
Advanced Science, EarlyView.This work introduces a frequency‐encoded, reconfigurable acoustofluidic system that overcomes the low throughput and poor selectivity of conventional micro‐delivery methods. By exploiting discrete microbubble resonances to program adaptive microvortex modes, the platform enables real‐time switching and selective guidance of microscale payloads through ...
Lei Wang +6 more
wiley +1 more source
Classical deterministic complexity of Edmonds' problem and Quantum Entanglement
, 2003 This paper continues research initiated in quant-ph/0201022 . The main subject here is the so-called Edmonds' problem of deciding if a given linear subspace of square matrices contains a nonsingular matrix .
Gurvits, Leonid
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