Results 111 to 120 of about 289,909 (310)
On characterizations of inner product spaces [PDF]
Proceedings of the American Mathematical Society, 1975 The characterizations of inner product norms given by Tapia [10] make use of a generalized inner product in normed spaces. I shall give simpler proofs and a sharper result using a more geometrical approach. 1. The generalized inner product of a norm. Let /: V -R be a function defined on the real vector space V.
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Bessel type inequalities for non-orthonormal families of vectors in inner product spaces
, 2005 Some sharp Bessel type inequalities for non-orthonormal families of vectors in inner product spaces are given.
Dragomir, Sever S
core
Partial inner product spaces and semi-inner product spaces
, 1981 A comparison is made between the two objects mentioned in the title. Connections between them are threefold: (i) both are particular instances of dual pairs of locally convex spaces; (ii) many partial inner product spaces consist of chains or lattices of
Antoine, J.P +3 more
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Advanced Engineering Materials, EarlyView.A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič +7 more
wiley +1 more source
Reverses of the Schwarz Inequality in Inner Product Spaces Generalising a Klamkin-Mclenaghan Result
, 2005 New reverses of the Schwarz inequality in inner product spaces that incorporate the classical Klamkin-McLenaghan result for the case of positive n−tuples are given.
Dragomir, Sever S
core
Soft Mechanical‐Electrical Logic Using Liquid Metal‐Filled 3D‐Printed Architectures
Advanced Engineering Materials, EarlyView.We present 3D‐printed soft mechanical–electrical logic elements that use liquid metal–filled silicone tubes actuated by thermoplastic polyurethane/polylactic acid (TPU/PLA) architectures to produce Boolean operations. Complementary normally open and normally closed unit cells perform repeatable binary transitions and can be combined into more complex ...
Christoph Lehmann +2 more
wiley +1 more source
Determination method optimization for residual solvent in flaxseed oil
Shipin yu jixieObjectiveTo optimize the determination method for residual solvent in flaxseed oil.MethodsTest flaxseed oil samples are separated using a methyl polysiloxane capillary column containing 6% cyanopropyl-phenyl by headspace gas chromatograph (HS-GC ...
SHI Xincai +4 more
doaj +1 more source
Mathware & soft computing, 1995 Among normal linear spaces, the inner product spaces (i.p.s.) are particularly interesting. Many characterizations of i.p.s. among linear spaces are known using various functional equations. Three functional equations characterizations of i.p.s.
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On Toricelli's Problem in Inner Product Spaces
, 1999 It is well known in Elementary Geometry the problem proposed and solved by Toricelli in the 17th century, to minimize the sum of the distances of a variable point to three fixed points in the plane.
Comănescu, Dan +3 more
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Reverses of the Triangle Inequality via Selberg's and Boas-Bellman's Inequalities [PDF]
, 2006 Reverses of the triangle inequality for vectors in inner product spaces via the Selberg and Boas-Bellman generalisations of Bessel’s inequality are given.
Dragomir, Sever S
core