The Principle of Mathematical Induction: Applications in Physical Optics by Joseph Ivin Thomas

“…Following an outline of some elementary concepts from vector algebra and phasor analysis, the proofs by induction of a couple of salient results in multiple-slit interferometry are presented, viz., the fringe intensity distribution formula and the upper bound of the total fringe count. …”
Get full text

Spectral integration and spectral theory for non-Archimedean Banach spaces by S. Ludkovsky, B. Diarra

“…Banach algebras over arbitrary complete non-Archimedean fields are considered such that operators may be nonanalytic. …”
Get full text

Multipliers of Modules of Continuous Vector-Valued Functions by Liaqat Ali Khan, Saud M. Alsulami

“…In 1961, Wang showed that if A is the commutative C*-algebra C0(X) with X a locally compact Hausdorff space, then M(C0(X))≅Cb(X). …”
Get full text

Generalized Projective product of semi-rings by mohd Shahoodh

“… The concept of Differential algebra has been played an influential role in various directions of abstract algebra. …”
Get full text

Noncommutative Effects on the Fluid Dynamics and Modifications of the Friedmann Equation by Kai Ma

“…Based on this approach, the noncommutative Poisson bracket is introduced, and the noncommutative algebra among Eulerian variables and the noncommutative corrections on the equations of motion are obtained. …”
Get full text

Relações Entre Pensamento e Linguagem: Explorações Teóricas no Contexto da Educação Matemática by JORGE TARCÍSIO DA ROCHA FALCÃO

“…Adicionalmente, extratos de protocolos de  pesquisa  envolvendo  atividade  representacional em  álgebra  são  mostrados, tentando-se evidenciar, de um  lado,  a importância dos suportes  de representação para a construção de significado neste campo conceitual, e de outro, a impossibilidade de atribuir a tais suportes, isoladamente, a explicação da aprendizagem de conceitos como os de variável e parâmetro  em álgebra. …”
Get full text

Geometrical Applications of Split Octonions by Merab Gogberashvili, Otari Sakhelashvili

“…It is shown how the G2 algebra’s chirality yields an intrinsic left-right asymmetry of a certain 3-vector (spin), as well as a parity violating effect on light emitted by a moving quantum system. …”
Get full text

An exact symmetry in λ-deformed CFTs by George Georgiou, Eftychia Sagkrioti, Konstantinos Sfetsos, Konstantinos Siampos

“…Abstract We consider λ-deformed current algebra CFTs at level k, interpolating between an exact CFT in the UV and a PCM in the IR. …”
Get full text

Groebner Bases Based Verification Solution for SystemVerilog Concurrent Assertions by Ning Zhou, Xinyan Gao, Jinzhao Wu, Jianchao Wei, Dakui Li

“…We introduce an approach exploiting the power of polynomial ring algebra to perform SystemVerilog assertion verification over digital circuit systems. …”
Get full text

Intuitionistic fuzzy lattice ordered G-modules by Poonam Sharma

“…The investigation of different ordered algebraic structures, like lattice-ordered groups, Riesz spaces, etc., is of great importance in algebra. …”
Get full text

Shape Invariance of Solvable Schrödinger Equations with the Generalized Hyperbolic Pöschl-Teller Potential by Min Li, Shi-Kun Zhong, Li Dong, Lu-Lin Xiong, Guang Luo

“…The calculation shows that the algebraic form shape invariance of the partner potentials with that superpotential is anastomotic to the above. …”
Get full text

On Bousfield’s conjectures for the unstable Adams spectral sequence for $SO$ and $U$ by Nguyễn, Thế Cường

“…The unstable Adams spectral sequence is a spectral sequence that starts from algebraic information about the mod $2 $ cohomology $H ^{ * } \left(X \right) $ of a space $X $ as an unstable algebra over the Steenrod algebra $\mathcal{A}$, and converges, in good cases, to the $2 $-localized homotopy groups of $X $. …”
Get full text

Augmented Superfield Approach to Nilpotent Symmetries of the Modified Version of 2D Proca Theory by A. Shukla, S. Krishna, R. P. Malik

“…For the sake of completeness, we also mention, very briefly, a unique bosonic symmetry, the ghost-scale symmetry, and discrete symmetries of the theory and show that the algebra of conserved charges provides a physical realization of the Hodge algebra (satisfied by the de Rham cohomological operators of differential geometry).…”
Get full text

A Combinatorial Note for Harmonic Tensors by Zhankui Xiao

“…We give another characterization of the annihilator of the space of (dual) harmonic tensors in the group algebra of symmetric group.…”
Get full text

Equações de Ahmes até Abel by Dora Soraia Kindel

“… Este livro trata alguns aspectos da história da álgebra desde os egípcios, cerca de 3000 a. C até 1800 d. …”
Get full text

Quantum dynamics of the effective field theory of the Calogero-Sutherland model by Federico L. Bottesi, Guillermo R. Zemba

“…We consider the known effective field theory of the Calogero-Sutherland model in the thermodynamic limit of large number of particles, obtained from the standard procedure in conformal field theory: the Hilbert space is constructed a priori in terms of irreducible representations of the symmetry algebra, and not by diagonalization of the hamiltonian, which is given in terms of fields that carry representations of the W1+∞ algebra (representing the incompressibility of the Fermi sea). …”
Get full text

Formação Continuada e Cultura Profissional: a educação algébrica e os movimentos de reorientação curricular no Estado de São Paulo by Antonio Marcos Emiliano, Maria Elisabette Brisola Brito Prado, Ruy Cesar Pietropaolo

“…Os resultados preliminares revelaram, iluminados pelos trabalhos de Usiskin, Lins e Gimenez, Shulman e de Zeichner, que os professores se apoiam em diferentes concepções de educação algébrica para ensinar álgebra na 6ª série/7º ano do Ensino Fundamental. …”
Get full text

Hyperinvariant subspaces for some operators on locally convex spaces by Edvard Kramar

“…Denseness of a class of operators which have a hyperinvariant subspace in the algebra of locally bounded operators is proved.…”
Get full text

Investigation of one task of the potential theory by Aleksas Domarkas, Rimantas-Jonas Rakauskas, Svajonė Vošterienė

“… Using computer algebra package Maple we compute aproximative analytical solution. …”
Get full text

A generalization of Gelfand-Mazur theorem by Sung Guen Kim

“…In this paper, we show that if A is a unital semisimple complex Banach algebra with only the trivial idempotents and if σA(x) is countable for each x∈Fr(G(A)), then A≅C, this generalizes the Gelfand-Mazur theorem.…”
Get full text