Results 101 to 110 of about 341,235 (326)
On entire rational maps in real algebraic geometry. [PDF]
Michigan Mathematical Journal, 1995 This paper is devoted to entire rational mapping in real algebraic geometry. Several results are proved, particularly an extension of a result of Bochnak and Kucharz stating that for \(X\) being any \(k\)-dimensional non-singular real algebraic set any entire rational map from \(X\) \(S^{2n-k}\) to \(S^{2n}\) is null homotopic.
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Risk‐aware safe reinforcement learning for control of stochastic linear systems
Asian Journal of Control, EarlyView.Abstract This paper presents a risk‐aware safe reinforcement learning (RL) control design for stochastic discrete‐time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk‐informed safe controller is also learned besides the RL controller, and the RL and safe controllers are combined together ...
Babak Esmaeili +2 more
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Uniform Gas Flow Distribution into Several Partial Flows under Consideration of Closable Outlets
Chemie Ingenieur Technik, EarlyView.The uniform distribution of a gas flow into several partial flows poses a challenge in various technical fields. This study presents a static flow distributor design that ensures an equal distribution of an inlet gas flow regardless of the flow rate and the number of open outlets.
Nikolas Schmidt +3 more
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Varieties of four-dimensional gauge theories
Journal of High Energy PhysicsWe use algebraic geometry to study the anomaly-free representations of an arbitrary gauge Lie algebra for 4-dimensional spacetime fermions. For irreducible representations, the problem reduces to studying the Lie algebras 𝔰𝔲 n for n ≥ 3.
Ben Gripaios, Khoi Le Nguyen Nguyen
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Numerical Evidence for a Conjecture in Real Algebraic Geometry [PDF]
Experimental Mathematics, 2000 Homotopies provide computational evidence for a challenging instance of a conjecture about whether all solutions are real. By a homotopy we mean a family of polynomial systems that describes algebraically the geometric transition from an easier configuration in special position into the general configuration for the problem we want to solve.
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Optimal model‐based design of experiments for parameter precision: Supercritical extraction case
The Canadian Journal of Chemical Engineering, EarlyView.Abstract This study investigates the process of chamomile oil extraction from flowers. A parameter‐distributed model consisting of a set of partial differential equations is used to describe the governing mass transfer phenomena in a cylindrical packed bed with solid chamomile particles under supercritical conditions using carbon dioxide as a solvent ...
Oliwer Sliczniuk, Pekka Oinas
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ON THE COMPLEXITY OF SEMIDEFINITE PROGRAMS ARISING IN POLYNOMIAL OPTIMIZATION
Croatian Operational Research Review, 2012 In this paper we investigate matrix inequalities which hold irrespective of the size of the matrices involved, and explain how the search for such inequalities can be implemented as a semidefinite program (SDP).
Igor Klep, Janez Povh, Angelika Wiegele
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Subuniformity of harmonic mean p$$ p $$‐values
Canadian Journal of Statistics, EarlyView.Abstract We obtain several inequalities on the generalized means of dependent p$$ p $$‐values. In particular, the weighted harmonic mean of p$$ p $$‐values is strictly subuniform under several dependence assumptions of p$$ p $$‐values, including independence, negative upper orthant dependence, the class of extremal mixture copulas, and some Clayton ...
Yuyu Chen +3 more
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The Comparison of Diffeomorphic Images Based on the Construction of Persistent Homology
Моделирование и анализ информационных систем, 2019 An object shape analysis is a problem that is related to such areas as geometry, topology, image processing and machine learning. For analyzing the form, the deformation between the source and terminal form of the object is estimated.
Sergey N. Chukanov
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Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, EarlyView.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
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