Results 51 to 60 of about 66,979 (212)
Spatial‐Wavelength Multiplexing Error‐Controlled Photonic Analog Computing System
Advanced Science, EarlyView.A novel photonic integrated circuit prototype implementing the concept of general‐purpose analog computing and demonstrate its capability in radio frequency applications. The chip features a multichannel architecture and performs fully optical analog computation with frequency‐domain parallel processing. An FPGA‐based error‐correction algorithm aims to
Tao Zhu +15 more
wiley +1 more source
Classification of limits of triangular matrix algebras [PDF]
Proceedings of the Edinburgh Mathematical Society, 1993 Let Tn be the operator algebra of upper triangular n × n complex matrices. Three families of limit algebras of the form lim (Tnk) are classified up to isometric algebra isomorphism: (i) the limit algebras arising when the embeddings Tnk→Tnk+1, are alternately of standard and refinement type; (ii) limit algebras associated with refinement embeddings ...
Hopenwasser, A., Power, S. C.
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Advanced Science, EarlyView.This study investigates how CTCs survive varying shear stress during hematogenous metastasis. We uncover a self‐protection mechanism, by which non‐adherent CTCs adapt to high shearing milieu through accumulated cytoplasmic myosin‐mediated disruption of myosin‐actin binding, attenuating force transmission into chromatin to protect CTCs from shear ...
Cunyu Zhang +10 more
wiley +1 more source
Minimal linear representations of the low-dimensional nilpotent lie algebras [PDF]
, 2008 The main goal of this paper is to compute a minimal matrix representation for each non-isomorphic nilpotent Lie algebra of dimension less than 6. Indeed, for each of these algebras, we search the natural number n ∈ N \ {1} such that the linear algebra ...
Benjumea Acevedo, Juan Carlos +2 more
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A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Integrated and Differentiated Spaces of Triangular Fuzzy Numbers
, 2017 Fuzzy sets are the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling.
Kirişci, Murat
core +1 more source
Almost Settling the Hardness of Noncommutative Determinant [PDF]
, 2011 In this paper, we study the complexity of computing the determinant of a matrix over a non-commutative algebra. In particular, we ask the question, "over which algebras, is the determinant easier to compute than the permanent?" Towards resolving this ...
Chien, Steve +3 more
core +2 more sources
Lie Derivations on Generalized Matrix Algebras by Local Actions
AxiomsLet G=G(A,B,M,N) be a generalized matrix algebra. A linear map Δ:G→G is called a Lie derivation at E∈G if Δ([U,V])=[Δ(U),V]+[U,Δ(V)] for all pairs U,V∈G such that UV=E.
Jinhong Zhuang, Yanping Chen, Yijia Tan
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Superinvolutions on block-triangular matrix algebras
, 2020 The proof of Lemma 5.11 is ...
Dias, Laise, Diniz, Diogo, Ramos, Alex
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Free particles from Brauer algebras in complex matrix models
, 2010 The gauge invariant degrees of freedom of matrix models based on an N x N complex matrix, with U(N) gauge symmetry, contain hidden free particle structures. These are exhibited using triangular matrix variables via the Schur decomposition.
Kimura, Yusuke +2 more
core +1 more source