Results 21 to 30 of about 11,534 (108)

On Non Commutative G2 structure

, 2005
Using an algebraic orbifold method, we present non-commutative aspects of $G_2$ structure of seven dimensional real manifolds. We first develop and solve the non commutativity parameter constraint equations defining $G_2$ manifold algebras.
A Belhaj, Banks T, Belhaj A Saidi E H, Bellorin J Restuccia A, Boulton L, Connes A, de Wit B, Gopakumar R, Joyce D, M P García del Moral, Myers R C, Patil S P, Sahraoui E M, Seiberg N   +13 more
core   +1 more source

Definition and Computation of Tensor‐Based Generalized Function Composition

Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.
ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
wiley   +1 more source

Coordinate‐ and Spacetime‐Independent Quantum Physics

Annalen der Physik, Volume 538, Issue 1, January 2026.
This article studies in the framework of quantum field theory in curved spacetime, if there exists a single zero‐rank‐tensor solution of a Klein‐Gordon PDE, being valid at once for the depicted spacetimes. The answer is shown to be affirmative, even for a class of such solutions having the standard applications in particle physics. ABSTRACT The concept
Viacheslav A. Emelyanov, Daniel Robertz
wiley   +1 more source

Monoidal derivators and additive derivators [PDF]

, 2012
One aim of this paper is to develop some aspects of the theory of monoidal derivators. The passages from categories and model categories to derivators both respect monoidal objects and hence give rise to natural examples.
Groth, Moritz
core  

On the Noisy Road to Open Quantum Dynamics: The Place of Stochastic Hamiltonians

Annalen der Physik, Volume 538, Issue 1, January 2026.
Stochastic Hamiltonian formulations of open quantum dynamics are revisited, highlighting their roots in stochastic calculus. The connections among stochastic Hamiltonians, stochastic Schrödinger equations, and master‐equation approaches are made explicit.
Pietro De Checchi, Federico Gallina, Barbara Fresch, Giulio G. Giusteri   +3 more
wiley   +1 more source

Stability Analysis of Different Quaternion‐Valued Impulsive BAM Neural Networks With Unknown Parameters and Time‐Varying Delays

Engineering Reports, Volume 8, Issue 1, January 2026.
This work tackles the unresolved stability problem of heterogeneous quaternion‐valued BAM neural networks plagued by unknown parameters, time‐varying delays, and impulses. By synergizing Lyapunov theory with inequality techniques, we establish rigorous, yet practical, global stability conditions.
Xi Long, Yaqin Li
wiley   +1 more source

Where Mathematical Symbols Come From

Topics in Cognitive Science, Volume 18, Issue 1, Page 169-186, January 2026.
Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley   +1 more source

Exponential renormalization

, 2010
Moving beyond the classical additive and multiplicative approaches, we present an "exponential" method for perturbative renormalization. Using Dyson's identity for Green's functions as well as the link between the Faa di Bruno Hopf algebra and the Hopf ...
A. Connes, A. Connes, A. Connes, B. Delamotte, C. Itzykson, C. Reutenauer, Ch. Brouder, D. Kreimer, D. Kreimer, F. Dyson, Frédéric Patras, H. Figueroa, J. Collins, K. Ebrahimi-Fard, K. Ebrahimi-Fard, K. Ebrahimi-Fard, Kurusch Ebrahimi-Fard, M. Bellon, S.A. Joni, W. Suijlekom van, W. Suijlekom van, W.E. Caswell   +21 more
core   +1 more source

Canonical forms of oriented matroids

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
wiley   +1 more source

Combinatorial Alexander Duality -- a Short and Elementary Proof

, 2008
Let X be a simplicial complex with the ground set V. Define its Alexander dual as a simplicial complex X* = {A \subset V: V \setminus A \notin X}. The combinatorial Alexander duality states that the i-th reduced homology group of X is isomorphic to the (|
A. Björner, A. Björner, A. Hatcher, Anders Björner, D. Bayer, E. Miller, G. Kalai, G. Kalai, I.M. James, J.A. Eagon, J.R. Munkres, J.W. Alexander, Martin Tancer, R.P. Stanley, R.P. Stanley, R.P. Stanley, R.P. Stanley, V.M. Buchstaber   +17 more
core   +4 more sources