A frame theoretic technique is introduced that combines Fourier and finite frames. The technique is based on fundamental theorems by Beurling and Landau in the theory of Fourier frames, and transitions to the finite frame case, where an algorithm is constructed. The algorithm exhibits the strengths of frame theory dealing with noise reduction and stable signal reconstruction. It was designed to...

Self-help groups benefit clients by linking them to people who have "been there" and are successfully coping with their situations. Mental health/substance use agencies can increase access to evidence-based benefits of self-help groups by engaging them in organizational exchanges. Organizational theories are used to frame beneficial exchanges with self-help groups. Adaptational theory is used t...

We introduce regular charts as physical reference frames in spacetime, and we show that general spacetimes can always be fully captured by regular charts. Effective quantum field theories (QFTs) can be conveniently defined in regular reference frames, and the definition is independent of specific background metric and independent of specific regular reference frame. As a consequence, coupling t...

This is an introduction to the problems connecting frame theory and the Kadison-Singer Problem. 1. Overview For an extensive introduction to the aspects of frame theory needed for an understanding of the Kadison-Singer Problem we refer to the survey paper [3], which is posted in this section of the web page “The Kadison-Singer Problem”. In the following section we will just give the basic defin...

We show that covariant field theory for sections of π : E → M lifts in a natural way to the bundle of vertically adapted linear frames LπE. Our analysis is based on the fact that LπE is a principal fiber bundle over the bundle of 1-jets J1π. On LπE the canonical soldering 1-forms play the role of the contact structure of J1π. A lifted Lagrangian L:LπE → R is used to construct modified soldering...

Relational Frame Theory (RFT) has made a very respectable empirical and theoretical showing in the psychological literature during the past decade, but the theory still remains unknown or unappreciated by most cognitive and behavioral psychologists. This article highlights why this might be the case, and presents RFT in a simplified, systematic manner, in part by comparing it to a well-known co...

The species-specific organizational property of speech is a continual mouth open-close alternation, the two phases of which are subject to continual articulatory modulation. The cycle constitutes the syllable, and the open and closed phases are segments-vowels and consonants, respectively. The fact that segmental serial ordering errors in normal adults obey syllable structure constraints sugges...

The article begins with a brief outline of the phenomenon of stimulus equivalence and its relationship to human verbal behavior. Relational Frame Theory is then outlined as a behavior-analytic account of both stimulus equivalence and human language. The experimental procedures that have typically been used to examine stimulus equivalence are then considered, before focusing on a series of studi...

The first part of the paper proposes a formal foundation of a theory of frames. Frames are embedded into a general ontology. On this background, we introduce a formal model-theoretic semantics for frames and thereby an interface to formal semantics. The model-theoretic semantics allows us to define central notions of frame theory such as the “satisfaction type” for a node in a given frame, and ...

Employing the notions of the strong $L$-topology introduced by Zhangand the $L$-frame introduced by Yao  and the concept of $L$-enrichedtopological system defined in the present paper, we constructadjunctions among the categories {bf St$L$-Top} of strong$L$-topological spaces, {bf S$L$-Loc} of strict $L$-locales and{bf $L$-EnTopSys} of $L$-enriched topological systems. All of theseconcepts are ...