Results 51 to 60 of about 327,876 (275)
Equiangular Vectors Approach to Mutually Unbiased Bases
Entropy, 2013 Two orthonormal bases in the d-dimensional Hilbert space are said to be unbiased if the square modulus of the inner product of any vector of one basis with any vector of the other equals 1 d.
Maurice R. Kibler
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Characterizations of inner product structures involving the radius of the inscribed or circumscribed circumference [PDF]
, 1996 summary:We define the radius of the inscribed and circumscribed circumferences in a triangle located in a real normed space and we obtain new characterizations of inner product ...
Tomás, M. S., Alsina, C., Guijarro, P.
core
Advanced Engineering Materials, EarlyView.This study demonstrates an efficient recycling route for out‐of‐spec AlSi10Mg atomized powders through compaction and arc remelting followed by suction casting. By correlating compaction load, cooling rate, and resulting microstructure, we show that intermediate pressures (50–80 kN) and rapid cooling refine dendrites, reduce porosity, and enhance ...
Mila Christy de Oliveira +4 more
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Quantitative relations between different measurement contexts [PDF]
QuantumIn quantum theory, a measurement context is defined by an orthogonal basis in a Hilbert space, where each basis vector represents a specific measurement outcome.
Ming Ji, Holger F. Hofmann
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Bombieri-Type Inequalities and Their Applications in Semi-Hilbert Spaces
Axioms, 2023 This paper presents new results related to Bombieri’s generalization of Bessel’s inequality in a semi-inner product space induced by a positive semidefinite operator A.
Najla Altwaijry +2 more
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Only 'free' measures are admissable on F(S) when the inner product space S is incomplete
, 2007 Using elementary arguments and without having to recall the Gleason Theorem, we prove that the existence of a nonsingular measure on the lattice of orthogonally closed subspaces of an inner product space S is a sufficient (and of course, a necessary ...
D. Buhagiar, E. Chetcuti
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Characterization of group homomorphisms having values in an inner product space
Publicationes mathematicae (Debrecen), 2000 In this note we prove that for functions f : G → E from a group G to an inner product space E, the inequality ‖f(xy)‖ ≥ ‖f(x) + f(y)‖ (x, y ∈ G) implies f(xy) = f(x) + f(y) (x, y ∈ G), and ask the open question: Is this statement true also for strictly ...
Gyula Maksa, P. Volkmann
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A Compact Spin‐Coated Graphene UWB Antenna for Breast Tumor Detection
Advanced Engineering Materials, EarlyView.A compact, spin‐coated graphene ultra‐wideband patch antenna designed for breast tumor detection, capable of distinguishing between malignant and benign tumors. This innovative antenna can serve as an effective initial screening tool, particularly in resource‐limited settings such as rural areas, where access to advanced medical equipment like MRI and ...
Raja Rashidul Hasan +9 more
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Near‐Field Electrospinning Micro‐Printhead Achieves Precise Control of Nanofiber Deposition
Advanced Engineering Materials, EarlyView.A micro‐printhead for near‐field electrospinning enables reproducible deposition of polymer nanofibers with diameters below 50 nm. Systematic parameter studies uncover the mechanisms linking operating conditions to fiber morphology, paving the way for precise and low‐cost nanoscale 3D manufacturing.As a high‐resolution, cost‐effective, and rapid ...
Han Xu, Dario Mager, Jan G. Korvink
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Exploring novel semi-inner product reproducing Kernels in Banach space for robust Kernel methods.
PLoS ONEKernel methods are widely applied across various domains; however, structural limitations of reproducing kernels in Hilbert spaces pose significant challenges.
Yi Ding, Ying Zhao, Yan Pei
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