Results 11 to 20 of about 180,206 (238)
Accuracy of corneal astigmatism correction with two Barrett Toric calculation methods [PDF]
International Journal of Ophthalmology, 2019 AIM: To compare the prediction error between Barrett Toric calculator and the new online AcrySof Toric calculator which incorporated Barrett astigmatism algorithm in Chinese cataract eyes with normal axial length and anterior chamber depth (ACD ...
Jun Yang +4 more
doaj +1 more source
Siberian Journal of Life Sciences and Agriculture, 2023 The development vector of the current government policy in the Russian Federation aimed at improving social conditions – one of the critical indicators of which is life expectancy at birth [LE] – dictates the research relevance. Currently, the search and
Nina V. Zaitseva +3 more
doaj +1 more source
SOFT INTERSECTION-SYMMETRIC DIFFERENCE PRODUCT OF GROUPS [PDF]
Matrix Science MathematicSoft set theory constitutes a mathematically robust and structurally versatile formalism for modeling real-world systems characterized by epistemic uncertainty, vagueness, and parameter-contingent variability—ubiquitous features across decision theory ...
Aslıhan Sezgin, İbrahim Durak
doaj +1 more source
The length and depth of algebraic groups [PDF]
, 2018 Let $G$ be a connected algebraic group. An unrefinable chain of $G$ is a chain of subgroups $G = G_0 > G_1 > \cdots > G_t = 1$, where each $G_i$ is a maximal connected subgroup of $G_{i-1}$. We introduce the notion of the length (respectively, depth) of $
Burness, Timothy C. +2 more
core +3 more sources
Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms [PDF]
, 2007 We develop a theory of Tannakian Galois groups for t-motives and relate this to the theory of Frobenius semilinear difference equations. We show that the transcendence degree of the period matrix associated to a given t-motive is equal to the dimension ...
A. Tamagawa +31 more
core +1 more source
Executable Functions of the Representations in Learning the Algebraic Concepts
PNA: Revista de Investigación en Didáctica de la Matemática, 2018 This study aimed to examine the role of multiple representations in learning algebraic concepts for high school students. Using the semi-experimental research method for teaching of numerical, symbolic, and graphical representations, and traditional ...
Akram Daryaee +4 more
doaj +1 more source
On quasi-orthogonal cocycles [PDF]
, 2017 We introduce the notion of quasi-orthogonal cocycle. This is motivated in part by the maximal determinant problem for square {±1}-matrices of size congruent to 2 modulo 4. Quasi-orthogonal cocycles are analogous to the orthogonal cocycles of algebraic
Armario Sampalo, José Andrés +1 more
core +1 more source
Automatic surjectivity of ring homomorphisms on $H^*$-algebras and algebraic differences among some group algebras of compact groups [PDF]
Proceedings of the American Mathematical Society, 1999 Building on the author's previous study of \(p\)-classes of \(H^*\)-algebras [see Acta Sci. Math. 58, No. 1-4, 411-423 (1993; Zbl 0811.46056) and Proc. Am. Math. Soc. 124, No. 1, 169-175 (1996; Zbl 0840.46035)], this paper makes a worthwhile contribution to our understanding of ring homomorphisms by showing, in the main theorem, that, if \({\mathcal A}\
openaire +2 more sources
A description based on Schubert classes of cohomology of flag manifolds [PDF]
, 2008 We describe the integral cohomology rings of the flag manifolds of types B_n, D_n, G_2 and F_4 in terms of their Schubert classes. The main tool is the divided difference operators of Bernstein-Gelfand-Gelfand and Demazure.
Nakagawa, Masaki
core +2 more sources
On the algebra of symmetries of Laplace and Dirac operators [PDF]
, 2018 We consider a generalization of the classical Laplace operator, which includes the Laplace-Dunkl operator defined in terms of the differential-difference operators associated with finite reflection groups called Dunkl operators.
De Bie, Hendrik +2 more
core +2 more sources