Results 71 to 80 of about 850,197 (329)
Equivalent Binary Quadratic Form and the Extended Modular Group [PDF]
Extended modular group $\bar{\Pi}=$, where $ R:z\rightarrow -\bar{z}, \sim T:z\rightarrow\frac{-1}{z},\simU:z\rightarrow\frac{-1}{z +1} $, has been used to study some properties of the binary quadratic forms whose base points lie in the point set ...
malik, M. Aslam, Riaz, Muhammad
core
An integer may be represented by a quadratic form over each ring of p-adic integers and over the reals without being represented by this quadratic form over the integers.
Borovoi +16 more
core +1 more source
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
Quadratic form representations via generalized continuants
H. J. S. Smith proved Fermat's two-square theorem using the notion of palindromic continuants. In this paper we extend Smith's approach to proper binary quadratic form representations in some commutative Euclidean rings, including rings of integers and ...
Delorme, Charles +1 more
core
Identified through the use of statistical design of experiments and metallographic investigation, this study exposes the stochastic origins of intergranular cracks in blown powder laser beam directed energy deposition additive manufacturing of pure molybdenum. It further demonstrates a successful crack mitigation approach with direct correlation to the
Nathaniel J. Lies +2 more
wiley +1 more source
For exploratory wells where natural gas has been discovered in new regions or for new adjustment wells in mature areas, it is essential to conduct productivity testing (also known as deliverability testing) after completing the gas test and shut-in to ...
CHEN Yuanqian
doaj +1 more source
A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič +7 more
wiley +1 more source
Well-posedness of the microwave heating problem
A number of initial boundary-value problems of classical mathematical physics is generally represented in the linear operator equation and its well-posedness and causality in a Hilbert space setting was established. If a problem has a unique solution and
Baljinnyam Tsangia
doaj +1 more source
Extensions, crossed modules and pseudo quadratic Lie type superalgebras
Extensions and crossed modules of Lie type superalgebras are introduced and studied. We construct homology and cohomology theories of Lie-type superalgebras.
M. Pouye, B. Kpamegan
doaj
A Solution Approach for Solving Fully Fuzzy Quadratic Programming Problems
Quadratic Programming has been widely applied to solve real-world problems. This paper describes a solution method for solving a special class of fuzzy quadratic programming problems with fuzziness in relations.
Nemat Allah Taghi-Nezhad +1 more
doaj +1 more source

