Results 21 to 30 of about 480,204 (279)

The analytic theory of algebraic numbers [PDF]

open access: yesBulletin of the American Mathematical Society, 1975
After the presentation of a sketch of the analytic proofs of the Dirichlet's unit theorem, the finiteness of the class number and Minkowski's discriminant theorem, the author discusses his results [Invent. Math. 23, 135--152 (1974; Zbl 0278.12005)] concerning the Brauer-Siegel theorem.
openaire   +4 more sources

M-theory compactifications on hyperbolic spaces [PDF]

open access: yes, 2007
Negatively-curved, maximally symmetric hyperbolic spaces enjoy a number of remarkable properties that can be traced back to Riemannian geometry, group theory and algebraic geometry.
Orlando, Domenico
core   +2 more sources

Arithmetic of Calabi-Yau Varieties and Rational Conformal Field Theory [PDF]

open access: yes, 2001
It is proposed that certain techniques from arithmetic algebraic geometry provide a framework which is useful to formulate a direct and intrinsic link between the geometry of Calabi-Yau manifolds and the underlying conformal field theory. Specifically it
Candelas   +16 more
core   +2 more sources

Exchange dynamical quantum groups [PDF]

open access: yes, 1999
For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unity, we construct a dynamical quantum group (Hopf algebroid), whose representation theory is essentially the same as the representation theory of the ...
Etingof, Pavel, Varchenko, Alexander
core   +4 more sources

Tropical Effective Primary and Dual Nullstellens\"atze [PDF]

open access: yes, 2015
Tropical algebra is an emerging field with a number of applications in various areas of mathematics. In many of these applications appeal to tropical polynomials allows to study properties of mathematical objects such as algebraic varieties and algebraic
Grigoriev, Dima, Podolskii, Vladimir V.
core   +3 more sources

Data‐driven forecasting of ship motions in waves using machine learning and dynamic mode decomposition

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez   +2 more
wiley   +1 more source

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

open access: yesInternational Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam   +2 more
wiley   +1 more source

Hydrogel‐Based Capacitive Sensor Model for Ammonium Monitoring in Aquaculture

open access: yesAdvanced Engineering Materials, EarlyView.
Traditional techniques for monitoring aquaculture water quality, particularly ammonium levels, harm fish. This work presents a novel capacitive sensor with an ionic hydrogel transducer to monitor ammonium concentration in real time based on the ammonium‐induced hydrogel dissociation and osmotic pressure. Monitoring aquaculture water quality, especially
Mohammad Mirzaee   +3 more
wiley   +1 more source

Soft‐Layered Composites with Wrinkling‐Activated Multi‐Linear Elastic Behavior, Stress Mitigation, and Enhanced Strain Energy Storage

open access: yesAdvanced Engineering Materials, EarlyView.
In this study, exciting new bi‐/multi‐linear elastic behavior of soft elastic composites that accompany the activation of wrinkling in the embedded interfacial layers is analyzed. The new features and performance of these composite materials, including dramatic enhancements in energy storage, can be tailored by the concentration of interfacial layers ...
Narges Kaynia   +2 more
wiley   +1 more source

Monoidal algebraic model structures

open access: yes, 2013
Extending previous work, we define monoidal algebraic model structures and give examples. The main structural component is what we call an algebraic Quillen two-variable adjunction; the principal technical work is to develop the category theory necessary
Riehl, Emily
core   +1 more source

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