Empirical characteristic functional analysis and inference in sequence spaces

1992 ◽  
pp. 517-534
Author(s):  
Uluğ Çapar
Keyword(s):  
Functional Analysis ◽  
Sequence Spaces ◽  
Characteristic Functional

scholarly journals Heterozygous variants in KCNC2 cause a broad spectrum of epilepsy phenotypes associated with characteristic functional alterations

2021 ◽  
Author(s):  
Niklas Schwarz ◽  
Simone Seiffert ◽  
Manuela Pendziwiat ◽  
Annika Rademacher ◽  
Tobias Bruenger ◽  
...  
Keyword(s):  
Functional Analysis ◽  
De Novo ◽  
Critical Role ◽  
Specific Response ◽  
Loss Of Function ◽  
Causative Gene ◽  
Characteristic Functional ◽  
Research Collaborations ◽  
The Brain

Background KCNC2 encodes a member of the shaw-related voltage-gated potassium channel family (KV3.2), which are important for sustained high-frequency firing and optimized energy efficiency of action potentials in the brain. Methods Individuals with KCNC2 variants detected by exome sequencing were selected for clinical, further genetic and functional analysis. The cases were referred through clinical and research collaborations in our study. Four de novo variants were examined electrophysiologically in Xenopus laevis oocytes. Results We identified novel KCNC2 variants in 27 patients with various forms of epilepsy. Functional analysis demonstrated gain-of-function in severe and loss-of-function in milder phenotypes as the underlying pathomechanisms with specific response to valproic acid. Conclusion These findings implicate KCNC2 as a novel causative gene for epilepsy emphasizing the critical role of KV3.2 in the regulation of brain excitability with an interesting genotype-phenotype correlation and a potential concept for precision medicine.

scholarly journals The duals of certain matrix domains of factorable triangles and some related visualisations

Filomat ◽  
2013 ◽  
Vol 27 (5) ◽  
pp. 821-829
Author(s):  
Eberhard Malkowsky ◽  
Vesna Velickovic
Keyword(s):  
Physical Chemistry ◽  
Functional Analysis ◽  
Computer Science ◽  
Sequence Spaces ◽  
Graphical Representations ◽  
The Matrix ◽  
Matrix Domains ◽  
Bounded Sequences

This paper presents a connection between some new results from the theory of sequence spaces in functional analysis and computer science, with an application to physical chemistry and crystallography. We determine the ?-duals of the matrix domains of factorable triangles in the spaces of strongly C1 summable and bounded sequences, with index p. Furthermore we apply our results to crystallography, in particular, to determine the shape of Wulff's crystals which, in some cases, can be considered as neighbourhoods in certain metrizable topologies. Finally we use our own software for the graphical representations of some of the crystals.

scholarly journals On Certain Topological Properties of Normed Space Valued Null Function Space c0 (S, (E, || . || ), xi, u) and Its Paranormed Structure

2015 ◽  
Vol 15 (1) ◽  
pp. 121-128
Author(s):  
Narayan Prasad Pahari
Keyword(s):  
Functional Analysis ◽  
Function Space ◽  
Normed Space ◽  
Function Spaces ◽  
Sequence Spaces ◽  
Basic Sequence ◽  
Topological Properties ◽  
New Class ◽  
And Function ◽  
Class Of Functions

The aim of this paper is to introduce and study a new class c0 (S, (E, || . || ), ξ, u) of normed space E valued functions which will generalize some of the well known  basic sequence spaces and function spaces studied in Functional Analysis.. Beside the investigation pertaining to the linear paranormed structure of the class c0 ( S, (E, || . || ), ξ, u ) when topologized it with suitable natural paranorm , our primarily interest is to explore the conditions pertaining the containment relation of the class c0 (S, (E, || . || ), ξ, u) in terms of different ξ and u so that such a class of functions is contained in or equal to another class of similar nature.DOI: http://dx.doi.org/10.3126/njst.v15i1.12028Nepal Journal of Science and TechnologyVol. 15, No.1 (2014) 121-128

scholarly journals On certain difference operators and their explicitly inverses

Filomat ◽  
2021 ◽  
Vol 35 (8) ◽  
pp. 2517-2531
Author(s):  
Pinakadhar Baliarsingh ◽  
Laxmipriya Nayak
Keyword(s):  
Functional Analysis ◽  
Present Article ◽  
Operator Theory ◽  
Matrix Theory ◽  
Matrix Inversion ◽  
Sequence Spaces ◽  
Difference Operators ◽  
Band Matrices

In recent years, a number of extensive applications of difference operators through sequence spaces have been developed. The most crucial application is being used in the study of functional analysis, operator theory and matrix theory. In this context, the present article makes an attempt to provide a survey on various difference operators and unify them by introducing two m+ 1-th sequential band matrices. The purpose of this work is also to extend the determination of their inverses and derive an adaptive recursive free formula for matrix inversions. We provide two relevant formulas for inversion of m + 1-th sequential lower and upper band matrices. Subsequently, the idea is being applied to develop a new explicitly formula for matrix inversion.

BOUNDEDNESS OF ONE CLASS OF THE MATRIX OPERATORS IN WEIG

2020 ◽  
Vol 69 (1) ◽  
pp. 128-133
Author(s):  
А.А. Kalybay ◽  
◽  
А.М. Temirkhanova ◽  
Keyword(s):  
Functional Analysis ◽  
Difference Equation ◽  
Linear Difference Equation ◽  
Linear Operators ◽  
Sequence Spaces ◽  
Matrix Operator ◽  
Classic Problem ◽  
The Matrix ◽  
The Given ◽  
Matrix Operators

Problems of solving different linear difference equation is given to study the properties of the matrix operators in various functional spaces. One of the important problems of functional analysis is to establish criteria of boundedness of the linear operators in functional spaces. Question of the boundedness of matrix operators in sequence spaces is a classic problem of functional analysis and there are many unsolved problems in it. For example, in the general case it is impossible to establish the boundedness of the matrix operator in the spaces of sequences by the given matrix. Therefore, various classes of matrix operators are considered for which the criteria of their boundedness are known. Due to the variety of encountered problems in practice, it is necessary to have various alternative criteria for the boundedness of matrix operators. In this paper, we establish a new alternative criterion for the boundedness of one class of matrix operators.

Clinical Issues: What’s in a Word? A Functional Analysis of Word Learning

2005 ◽  
Vol 12 (3) ◽  
pp. 4-8 ◽  
Author(s):  
Prahlad Gupta
Keyword(s):  
Functional Analysis ◽  
Word Learning ◽  
Clinical Issues

Case Formulation and Design of Behavioral Treatment Programs

2003 ◽  
Vol 19 (3) ◽  
pp. 164-174 ◽  
Author(s):  
Stephen N. Haynes ◽  
Andrew E. Williams
Keyword(s):  
Functional Analysis ◽  
Behavior Problems ◽  
Behavioral Treatment ◽  
Clinical Case ◽  
Relative Magnitude ◽  
Mechanisms Of Action ◽  
Treatment Programs ◽  
Case Formulation ◽  
Functional Relations ◽  
Causal Variables

Summary: We review the rationale for behavioral clinical case formulations and emphasize the role of the functional analysis in the design of individualized treatments. Standardized treatments may not be optimally effective for clients who have multiple behavior problems. These problems can affect each other in complex ways and each behavior problem can be influenced by multiple, interacting causal variables. The mechanisms of action of standardized treatments may not always address the most important causal variables for a client's behavior problems. The functional analysis integrates judgments about the client's behavior problems, important causal variables, and functional relations among variables. The functional analysis aids treatment decisions by helping the clinician estimate the relative magnitude of effect of each causal variable on the client's behavior problems, so that the most effective treatments can be selected. The parameters of, and issues associated with, a functional analysis and Functional Analytic Clinical Case Models (FACCM) are illustrated with a clinical case. The task of selecting the best treatment for a client is complicated because treatments differ in their level of specificity and have unequally weighted mechanisms of action. Further, a treatment's mechanism of action is often unknown.

The Social Order Yields to Functional Analysis

1958 ◽  
Vol 3 (6) ◽  
pp. 158-160
Author(s):  
LAWRENCE SCHLESINGER
Keyword(s):  
Functional Analysis ◽  
Social Order ◽  
The Social

Functional analysis and communication training to reduce problem behavior and time in restraint: A case study.

2019 ◽  
Vol 19 (1) ◽  
pp. 114-122 ◽  
Author(s):  
Petur Ingi Petursson ◽  
Sigmund Eldevik
Keyword(s):  
Functional Analysis ◽  
Problem Behavior ◽  
Communication Training
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