Multiscale Modeling Analysis of the Mechanical Behaviors and Failures of In Situ Particle Reinforced Titanium Matrix Composites Based on Microstructural Characteristics. [PDF]
Materials (Basel)Geng X +5 more
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An Experimental Study on the Mechanical Properties and ANN-Based Prediction of a Tensile Constitutive Model of ECCs. [PDF]
Polymers (Basel)Zhao Q +5 more
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Study on the adhesion performance of basalt fiber and polypropylene fiber based on unified phase-field theory and cohesive zone model. [PDF]
PLoS OneWen Z, Simeng W, Huiming W, Guanghui C.
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A Security-Enhanced Certificateless Aggregate Authentication Protocol with Revocation for Wireless Medical Sensor Networks. [PDF]
Sensors (Basel)Fan Q, Wang Y, Li X.
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Construction of Arbitrary-Order Internal Coordinate Transformations to Improve Studies of Large-Amplitude Motions. [PDF]
J Phys Chem ABoyer MA, Tabor DP.
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On Some Invariants of a Bilinear Form
Canadian Mathematical Bulletin, 1961 Let E be a finite dimensional vector space over an arbitrary field. In E a bilinear form is given. It associates with every sub s pa ce V its right orthogonal sub space V* and its left orthogonal subspace *V. In general we cannot expect that dim V* = dim *V. However this relation will hold in some interesting special cases.
Jonathan Wild
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On the Complexity of Bilinear Forms with Commutativity
SIAM Journal on Computing, 1979We consider the general problem of computing sets of bilinear forms in commuting indeter-minates. We develop lower bound techniques which seem to be more powerful than those already known in the literature. We show that duality theory as it is known for bilinear forms with noncommuting indeter-minates does not hold in the commutative case; we prove ...
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Bilinear transformations and forms
1995Bilinear transformations and bilinear forms are introduced and studied. Their matrix representation, and especially the representation of symmetric bilinear forms, is presented. Orthogonality relative to a bilinear form is considered. These notions are then used to define the tensor product of vector spaces, and the properties of the tensor product are
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Bilinear Forms on Novikov Algebras
International Journal of Theoretical Physics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bai, Cheng Ming, Meng, Dao Ji
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Anticodes for the Grassman and bilinear forms graphs
Designs, Codes and Cryptography, 1995This paper presents anticodes in Grassmann graphs and bilinear forms graphs. A new proof of the result due to Chihara viz. ``Many infinite families of classical distance-regular graphs have no nontrivial perfect codes, including the Grassmann graphs and the bilinear forms graphs'' has been given for these two families.
William J. Martin, X. J. Zhu
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