This paper introduces an inequality on vectors in $mathbb{R}^n$ which compares vectors in $mathbb{R}^n$ based on the $p$-norm of their projections on $mathbb{R}^k$ ($kleq n$). For $p>0$, we say $x$ is $d$-projectionally less than or equal to $y$ with respect to $p$-norm if $sum_{i=1}^kvert x_ivert^p$ is less than or equal to $ sum_{i=1}^kvert y_ivert^p$, for every $dleq kleq n$. For...

A projectional skeleton in a Banach space is a σ-directed family of projections onto separable subspaces, covering the entire space. The class of Banach spaces with projectional skeletons is strictly larger than the class of Plichko spaces (i.e. Banach spaces with a countably norming Markushevich basis). We show that every space with a projectional skeleton has a projectional resolution of the ...

(99m)Tc-sestamibi myocardial perfusion imaging is frequently performed in conjunction with exercise or pharmacologic stress testing for evaluation of coronary heart disease. Interpretation of these studies includes systematic review of unprocessed rotating projectional images for evaluation of cardiac size as well as the presence of motion or attenuation artifacts. Occasionally, incidental nonc...

Implementations of language oriented programming (LOP) are typically either language workbenches, which facilitate the development of external domain speci c languages (DSLs) with projectional editors, or host languages for internal DSLs that are parsed. In this work, we present Cedalio a novel approach to LOP, along with a prototyped programming language and workbench implementing our approach...

The language community has had a discussion about different styles of languages for a long time: big languages with many specific concepts (ABAP, Cobol), or small languages with few, but very powerful and orthogonal concepts (Lisp, Smalltalk)? With the advent of projectional language workbenches a new class of language becomes possible that can combine the best of both approaches: modular langu...

The present paper discusses a method for robust face recognition that works even when only one image is registered and the test image contains a lot of local noises. Two types of facial image decomposition are compared both theoretically and experimentally. That is, we consider both a projectional decomposition, in which images are decomposed into individuality and other components, and a locat...