The frame problem is the problem of how we selectively apply relevant knowledge to particular situations in order to generate practical solutions. Some philosophers have thought that the frame problem can be used to rule out, or argue in favor of, a particular theory of belief states. But this is a mistake. Sentential theories of belief are no better or worse off with respect to the frame probl...

The theory of localized frames is a recently introduced concept with broad implications to frame theory in general, as well as to the special cases of Gabor and wavelet frames. Using the new notion of a R-dual sequence associated with a Bessel sequence, we derive several duality principles concerning localization in abstract frame theory. As applications of our results we prove a duality princi...

2 Preliminaries in Mathematics and Physics 47 2.1 Surface Theory Based on Moving Frame . . . . . . . . . . . . . . 47 2.1.1. Moving Frame Method . . . . . . . . . . . . . . . . . . . 47 2.1.2. Stokes’ Theorem and Related Identities . . . . . . . . . . 49 2.2 Helfrich’s Model . . . . . . . . . . . . . . . . . . . . . . . . . . 50 2.3 Variational Method Based on Moving Frame . . . . . . . . . . ....

A Maximum Entropy statistical treatment of an inverse problem concerning frame theory is presented. The problem arises from the fact that a frame is an overcomplete set of vectors that de nes a mapping with no unique inverse. Although any vector in the concomitant space can be expressed as linear combination of frame elements, the coe cients of the expansion are not unique. Frame theory guarant...

We investigate how strategic behavior is affected by the set of notions (frames) used when thinking about game. In our games action consists visual objects: each player must privately choose one, trying to match counterpart’s choice. propose a model where different player-types are aware attributes (hence, frames). One novelties an epistemic structure that allows players think new frames, after...