Spectral Mapping Theorems and Spectral Space-Independence

2003 ◽  
pp. 157-168
Author(s):  
Eva Fašanga
Keyword(s):  
Spectral Space ◽  
Spectral Mapping

Introduction of Spectral Mapping through Transmission Grating, Derivative Technique of Photon Emission

2014 ◽  
Author(s):  
Thierry Parrassin ◽  
Sylvain Dudit ◽  
Michel Vallet ◽  
Antoine Reverdy ◽  
Hervé Deslandes
Keyword(s):  
Integrated Circuits ◽  
Failure Analysis ◽  
Light Emission ◽  
Photon Emission ◽  
Optical Path ◽  
Spectral Mapping ◽  
Additional Information ◽  
Transmission Grating ◽  
Emission System ◽  
Advance Knowledge

Abstract By adding a transmission grating into the optical path of our photon emission system and after calibration, we have completed several failure analysis case studies. In some cases, additional information on the emission sites is provided, as well as understanding of the behavior of transistors that are associated to the fail site. The main application of the setup is used for finding and differentiating easily related emission spots without advance knowledge in light emission mechanisms in integrated circuits.

scholarly journals One-Pot Hydrothermal Synthesis of Victoria Green (Ca3Cr2Si3O12) Nanoparticles in Alkaline Fluids and Its Colour Hue Characterisation

Nanomaterials ◽  
2021 ◽  
Vol 11 (2) ◽  
pp. 521
Author(s):  
Juan Carlos Rendón-Angeles ◽  
Zully Matamoros-Veloza ◽  
Jose Luis Rodríguez-Galicia ◽  
Gimyeong Seong ◽  
Kazumichi Yanagisawa ◽  
...  
Keyword(s):  
Near Infrared ◽  
Single Step ◽  
Spectral Space ◽  
Infrared Reflectance ◽  
Hydrothermal Preparation ◽  
Near Infrared Reflectance ◽  
One Pot ◽  
Factors Affecting ◽  
B Values ◽  
Alkaline Conditions

One-pot hydrothermal preparation of Ca3Cr2Si3O12 uvarovite nanoparticles under alkaline conditions was investigated for the first time. The experimental parameters selected for the study considered the concentration of the KOH solvent solution (0.01 to 5.0 M), the agitation of the autoclave (50 rpm), and the nominal content of Si4+ (2.2–3.0 mole). Fine uvarovite particles were synthesised at 200 °C after a 3 h interval in a highly concentrated 5.0 M KOH solution. The crystallisation of single-phase Ca3Cr2Si3O12 particles proceeded free of by-products via a one-pot process involving a single-step reaction. KOH solutions below 2.5 M and water hindered the crystallisation of the Ca3Cr2Si3O12 particles. The hydrothermal treatments carried out with stirring (50 rpm) and non-stirring triggered the crystallisation of irregular anhedral particles with average sizes of 8.05 and 12.25 nm, respectively. These particles spontaneously assembled into popcorn-shaped agglomerates with sizes varying from 66 to 156 nm. All the powders prepared by the present method exhibited CIE-L*a*b* values that correspond to the Victoria green colour spectral space and have a high near infrared reflectance property. The particle size and structural crystallinity are factors affecting the Victoria pigment optical properties, such as CIE-L*a*b* values, green tonality, and near-infrared reflectance.

Two Heads Are Better Than One: A Two-Stage Complex Spectral Mapping Approach for Monaural Speech Enhancement

2021 ◽  
pp. 1-1
Author(s):  
Andong Li ◽  
Wenzhe Liu ◽  
Chengshi Zheng ◽  
Cunhang Fan ◽  
Xiaodong Li
Keyword(s):  
Speech Enhancement ◽  
Spectral Mapping ◽  
Two Stage ◽  
Mapping Approach ◽  
Better Than

scholarly journals Weak spectral mapping theorems for functional differential equations

1991 ◽  
Vol 94 (2) ◽  
pp. 205-216 ◽  
Author(s):  
Günther Greiner ◽  
Manfred Schwarz
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Spectral Mapping ◽  
Functional Differential

The Spectral Mapping Theorem for a Hermitian Operator

1963 ◽  
Vol 70 (10) ◽  
pp. 1049-1051
Author(s):  
S. K. Berberian
Keyword(s):  
Hermitian Operator ◽  
Spectral Mapping Theorem ◽  
Spectral Mapping

scholarly journals CHOICE-FREE STONE DUALITY

2019 ◽  
Vol 85 (1) ◽  
pp. 109-148
Author(s):  
NICK BEZHANISHVILI ◽  
WESLEY H. HOLLIDAY
Keyword(s):  
Boolean Algebra ◽  
Boolean Algebras ◽  
Stone Space ◽  
Spectral Space ◽  
Topological Representation ◽  
Stone Duality ◽  
Closed Sets ◽  
Spectral Spaces ◽  
Basic Facts ◽  
Regular Open

AbstractThe standard topological representation of a Boolean algebra via the clopen sets of a Stone space requires a nonconstructive choice principle, equivalent to the Boolean Prime Ideal Theorem. In this article, we describe a choice-free topological representation of Boolean algebras. This representation uses a subclass of the spectral spaces that Stone used in his representation of distributive lattices via compact open sets. It also takes advantage of Tarski’s observation that the regular open sets of any topological space form a Boolean algebra. We prove without choice principles that any Boolean algebra arises from a special spectral space X via the compact regular open sets of X; these sets may also be described as those that are both compact open in X and regular open in the upset topology of the specialization order of X, allowing one to apply to an arbitrary Boolean algebra simple reasoning about regular opens of a separative poset. Our representation is therefore a mix of Stone and Tarski, with the two connected by Vietoris: the relevant spectral spaces also arise as the hyperspace of nonempty closed sets of a Stone space endowed with the upper Vietoris topology. This connection makes clear the relation between our point-set topological approach to choice-free Stone duality, which may be called the hyperspace approach, and a point-free approach to choice-free Stone duality using Stone locales. Unlike Stone’s representation of Boolean algebras via Stone spaces, our choice-free topological representation of Boolean algebras does not show that every Boolean algebra can be represented as a field of sets; but like Stone’s representation, it provides the benefit of a topological perspective on Boolean algebras, only now without choice. In addition to representation, we establish a choice-free dual equivalence between the category of Boolean algebras with Boolean homomorphisms and a subcategory of the category of spectral spaces with spectral maps. We show how this duality can be used to prove some basic facts about Boolean algebras.

LESS-mapping: Online environment segmentation based on spectral mapping

2012 ◽  
Vol 60 (1) ◽  
pp. 41-54 ◽  
Author(s):  
R. Vázquez-Martín ◽  
P. Núñez ◽  
A. Bandera
Keyword(s):  
Online Environment ◽  
Spectral Mapping

scholarly journals A spectral mapping theorem for perturbed Ornstein–Uhlenbeck operators on L2(Rd)

2015 ◽  
Vol 268 (9) ◽  
pp. 2479-2524 ◽  
Author(s):  
Roland Donninger ◽  
Birgit Schörkhuber
Keyword(s):  
Spectral Mapping Theorem ◽  
Spectral Mapping

scholarly journals Sinus Rhythm Atrial Fibrillation (AF) Catheter RF-Ablation Guided by “AF-Nests” Spectral Mapping

EP Europace ◽  
2005 ◽  
Vol 7 ◽  
pp. S14-S14
Author(s):  
J PACHON ◽  
E PACHON ◽  
T LOBO ◽  
M ZELIA ◽  
C PACHON ◽  
...  
Keyword(s):  
Atrial Fibrillation ◽  
Sinus Rhythm ◽  
Rf Ablation ◽  
Spectral Mapping

scholarly journals Large-scale vortices in rapidly rotating Rayleigh–Bénard convection

2014 ◽  
Vol 758 ◽  
pp. 407-435 ◽  
Author(s):  
Céline Guervilly ◽  
David W. Hughes ◽  
Chris A. Jones
Keyword(s):  
Large Scale ◽  
Reynolds Numbers ◽  
Spectral Space ◽  
Small Scale ◽  
Convective Velocity ◽  
Onset Of Convection ◽  
Convective Structures ◽  
Convective Scale ◽  
Domain Of Existence ◽  
Convective Motions

AbstractUsing numerical simulations of rapidly rotating Boussinesq convection in a Cartesian box, we study the formation of long-lived, large-scale, depth-invariant coherent structures. These structures, which consist of concentrated cyclones, grow to the horizontal scale of the box, with velocities significantly larger than the convective motions. We vary the rotation rate, the thermal driving and the aspect ratio in order to determine the domain of existence of these large-scale vortices (LSV). We find that two conditions are required for their formation. First, the Rayleigh number, a measure of the thermal driving, must be several times its value at the linear onset of convection; this corresponds to Reynolds numbers, based on the convective velocity and the box depth, $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}{\gtrsim }100$. Second, the rotational constraint on the convective structures must be strong. This requires that the local Rossby number, based on the convective velocity and the horizontal convective scale, ${\lesssim }0.15$. Simulations in which certain wavenumbers are artificially suppressed in spectral space suggest that the LSV are produced by the interactions of small-scale, depth-dependent convective motions. The presence of LSV significantly reduces the efficiency of the convective heat transport.

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