Results 51 to 60 of about 2,376,562 (166)
Geometry of essential matrix ranges and the Smith–Ward problem for operator systems
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract A d$d$‐tuple of bounded linear selfadjoint operators acting on an infinite‐dimensional separable Hilbert space is said to have the Smith–Ward property if the identity map of the image of the operator system in the Calkin algebra has a completely positive lift.
Douglas Farenick +2 more
wiley +1 more source
Towards quantum hierarchy for the Gromov–Witten theory of elliptic curves
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract We construct the quantum double ramification (DR) hierarchy associated with the Gromov–Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbers of the DR cycle, the Gromov–Witten classes of the elliptic curve, and the Hodge class λg−1$\lambda _{g-1}$, together with vanishing results for λg−2$\lambda ...
Paolo Rossi +2 more
wiley +1 more source
Invariant splitting principles for the Lipshitz–Ozsváth–Thurston correspondence
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We prove that the Lipshitz–Ozsváth–Thurston correspondence between extended type D structures of knot complements and F[U,V]/(UV)$\mathbb{F}[U,V]/(\textit{UV})$ knot Floer complexes can be arranged so that ιK${\iota}_{K}$‐invariant splittings of knot Floer chain complexes correspond to ιS3∖K${\iota}_{{S}^{3}\setminus K}$‐invariant splittings ...
Gary Guth, Sungkyung Kang
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 127, Issue 16, 30 August 2026.ABSTRACT This study proposes a quantum computing algorithm for dynamic structural analysis, assuming the use of quantum computers. Specifically, we apply a quantum algorithm known as Hamiltonian Simulation (HS), which calculates the time evolution of the Schrödinger equation with time‐independent coefficients, to the equations of motion governing the ...
Koya Wagatsuma +2 more
wiley +1 more source
Rolandion Algebra as a Mathematically Rigorous Framework for Quantum Gravity
We present Undecion (or Rolandion) Algebra, a mathematically rigorous 11-dimensional algebraic framework designed to bridge quantum mechanics and general relativity. Unlike previous approaches that struggle with mathematical consistency or experimental testability, our framework provides: (1) a precise scale-dependent product that smoothly interpolates
openaire +2 more sources
The algebraic calculator and mathematics education [PDF]
, 1999 This paper describes the recent development of hand-held algebraic calculators and evaluates their significance for secondary education. Sophisticated computer algebra systems (CAS) have been available to mathematicians for some years now but have been ...
Kissane, B.
core
A Cartan-Eilenberg approach to Homotopical Algebra [PDF]
, 2010 In this paper we propose an approach to homotopical algebra where the basic ingredient is a category with two classes of distinguished morphisms: strong and weak equivalences.
Navarro, Vicenç (Navarro Aznar) +8 more
core +1 more source
Algebra and technology: Emerging issues [PDF]
, 2001 Although there are a number of technologies related to school algebra, it is only the personal technology of the graphics calculator that seems likely to be available widely enough to influence curriculum design and implementation on a large scale.
Kissane, B.
core
This monograph presents a complete, self-contained extension of Operational Mathematics– the theory of extending the repetition count of basic mathematical operations (addition,multiplication, exponentiation, tetration, and higher hyperoperations) from natural numbers to integers, rational numbers, real numbers, and complex numbers– to the setting of ...
openaire +2 more sources
Lie algebras: infinite generalizations and deformations [PDF]
, 1990 There are many applications of Lie algebras to theoretical physics. This thesis is a study of some new mathematical structures which also are applicable to current physical ideas.
Fletcher, Paul, Fletcher, P
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