scholarly journals Generic bivariate multi-point evaluation, interpolation and modular composition with precomputation

2020 ◽  
Author(s):  
Vincent Neiger ◽  
Johan Rosenkilde ◽  
Grigory Solomatov
Keyword(s):  
Point Evaluation ◽  
Modular Composition

scholarly journals Matrix integrals & finite holography

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Dionysios Anninos ◽  
Beatrix Mühlmann
Keyword(s):  
Critical Exponents ◽  
Continuum Theory ◽  
Point Of View ◽  
Leading Order ◽  
Minimal Models ◽  
Point Evaluation ◽  
Brst Cohomology ◽  
Matrix Integrals ◽  
The Matrix ◽  
The Continuum

Abstract We explore the conjectured duality between a class of large N matrix integrals, known as multicritical matrix integrals (MMI), and the series (2m − 1, 2) of non-unitary minimal models on a fluctuating background. We match the critical exponents of the leading order planar expansion of MMI, to those of the continuum theory on an S2 topology. From the MMI perspective this is done both through a multi-vertex diagrammatic expansion, thereby revealing novel combinatorial expressions, as well as through a systematic saddle point evaluation of the matrix integral as a function of its parameters. From the continuum point of view the corresponding critical exponents are obtained upon computing the partition function in the presence of a given conformal primary. Further to this, we elaborate on a Hilbert space of the continuum theory, and the putative finiteness thereof, on both an S2 and a T2 topology using BRST cohomology considerations. Matrix integrals support this finiteness.

Essential Norm and Weak Compactness of Composition Operators on Weighted Banach Spaces of Analytic Functions

1999 ◽  
Vol 42 (2) ◽  
pp. 139-148 ◽  
Author(s):  
José Bonet ◽  
Paweł Dománski ◽  
Mikael Lindström
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Analytic Functions ◽  
Composition Operators ◽  
Essential Norm ◽  
Weak Compactness ◽  
Weakly Compact ◽  
Point Evaluation ◽  
Weighted Banach Spaces ◽  
Spaces Of Analytic Functions

AbstractEvery weakly compact composition operator between weighted Banach spaces of analytic functions with weighted sup-norms is compact. Lower and upper estimates of the essential norm of continuous composition operators are obtained. The norms of the point evaluation functionals on the Banach space are also estimated, thus permitting to get new characterizations of compact composition operators between these spaces.

scholarly journals Shape derivative of cost function for singular point: Evaluation by the generalized J integral

JSIAM Letters ◽  
2014 ◽  
Vol 6 (0) ◽  
pp. 29-32 ◽  
Author(s):  
Hideyuki Azegami ◽  
Kohji Ohtsuka ◽  
Masato Kimura
Keyword(s):  
Singular Point ◽  
Cost Function ◽  
Shape Derivative ◽  
J Integral ◽  
Point Evaluation

scholarly journals Multi-purpose Syntax Definition with SDF3

2020 ◽  
pp. 1-23 ◽  
Author(s):  
Luís Eduardo de Souza Amorim ◽  
Eelco Visser
Keyword(s):  
Error Recovery ◽  
Abstract Syntax ◽  
Abstract Syntax Tree ◽  
Syntax Tree ◽  
Full Class ◽  
High Level ◽  
Modular Composition ◽  
Tree Representations ◽  
Context Free ◽  
Context Free Grammars

Abstract SDF3 is a syntax definition formalism that extends plain context-free grammars with features such as constructor declarations, declarative disambiguation rules, character-level grammars, permissive syntax, layout constraints, formatting templates, placeholder syntax, and modular composition. These features support the multi-purpose interpretation of syntax definitions, including derivation of type schemas for abstract syntax tree representations, scannerless generalized parsing of the full class of context-free grammars, error recovery, layout-sensitive parsing, parenthesization and formatting, and syntactic completion. This paper gives a high level overview of SDF3 by means of examples and provides a guide to the literature for further details.

A combination of different diagnostic tools allows identification of inactive hepatitis B virus carriers at a single time point evaluation

2016 ◽  
Vol 37 (3) ◽  
pp. 362-368 ◽  
Author(s):  
Sergio Maimone ◽  
Gaia Caccamo ◽  
Giovanni Squadrito ◽  
Angela Alibrandi ◽  
Francesca Saffioti ◽  
...  
Keyword(s):  
Hepatitis B Virus ◽  
Hepatitis B ◽  
Diagnostic Tools ◽  
Point Evaluation ◽  
Single Time ◽  
B Virus ◽  
Single Time Point ◽  
Time Point
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