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Date: 1985
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1043576
Description: The lattice sums involved in the definition of Madelung’s constant of an NaCl-type crystal lattice in two or three dimensions are investigated. The fundamental mathematical questions of convergence an... More
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Date: 1986
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/941059
Description: Using the theory of the cubic modular equation we have discovered a remarkably simple class of cubically convergent algebraic iterations for π.
Reviewed: Reviewed
Date: 1986
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/941060
Description: A new brief proof of Fan's minimax theorem for convex-concave like functions is established using separation arguments.
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Date: 1986
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1043662
Description: In the course of a study of chemical lattice sums [1] the authors considered sums such as (1.1) ∑′ (- 1) n+m+k ( n2 + m2 + k2) -1/2, the summatio... More
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Date: 1986
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/939158
Description: Stimulation of arterial baroreceptors caused coronary vasodilatation by vagal activation and reciprocal withdrawal of sympathetic tone. The influence of central nervous μ-opioid/5-hydroxytryptamine (5... More
Reviewed: Reviewed
Date: 1986
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1043573
Description: We give sufficient conditions for order-bounded convex operators to be generically differentiable (Gâteaux or Fréchet). When the range space is a countably order-complete Banach lattice, these conditi... More
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Creators: Borwein, J. M.
Date: 1986
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/941040
Description: By studying partially monotone operators, we are able to show among other results that convex-concave and biconvex mappings defined on Asplund spaces or dually strictly convex spaces are respectively ... More
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Creators: Borwein, J. M.
Date: 1986
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1042491
Description: One can associate two norms with a Banach space convex process. These norms are dual to each other and the norm of a process agrees with the dual norm of its adjoint. This norm duality provides an ext... More
Reviewed: Reviewed
Date: 1986
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1042498
Description: As various types of tangent cones, generalized derivatives and subgradients prove to be a useful tool in nonsmooth optimization and nonsmooth analysis, we witness a considerable interest in analysis o... More
Reviewed: Reviewed
Date: 1986
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1043612
Description: We present a quadratically converging algorithm for π based on a formula of Legendre's for complete elliptic integrals of modulus sin(π/12) and the arithmetic-geometric mean iteration of Gauss and Leg... More
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Date: 1986
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/941046
Description: A new, simple, constraint qualification for infinite dimensional programs with linear programming type constraints is used to derive the dual program; see Theorem 3.1. Applications include a proof of ... More
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Creators: Borwein, J. M.
Date: 1986
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1042492
Description: We undertake a general study of regular points of Lipschitz and strictly differentiable mappings with applications to tangent cone analysis, inversion theorems, perturbed optimization problems, and hi... More
Reviewed: Reviewed
Date: 1986
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.13/939943
Description: The central μ opiate agonist, fentanyl, causes a neurogenically mediated systemic vascoconstriction in both rabbit and man. The human coronary circulation may participate in this response, since myoca... More
Date: 1986
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/939338
Description: In man and rabbit, anesthetic doses of the μ-opioid receptor agonist fentanyl cause systemic vasoconstriction. In unsedated dogs, intravenous infusion of fentanyl at 0.55 μg·kg⁻¹·min⁻¹ causes initial ... More
Reviewed: Reviewed
Date: 1986
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/939861
Description: The role of central (CNS) 5-hydroxytryptamine (5-HT) nerves in the thermal and arterial chemoreflex control of sympathetic innervation of ear skin vessels was studied in groups of unanesthetized norma... More
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