Whitney forms are widely known as finite elements for differential forms. Whitney’s original definition yields first order functions on simplicial complexes, and a lot of research has been devoted to extending the nonsimplicial cells higher functions. As result, term become somewhat ambiguous in literature. Our aim here is clarify concept explicitly explain their key properties. We discuss init...

This paper studies the variation of the volume of a subanalytic family of sets. More precisely we are interested in the variation of the density. We prove that the density is continuous along a stratum of a Whitney subanalytic stratification and locally lipschitzian when the stratification satisfies the Kuo-Verdier condition. This problem had been studied by Comte in [C].

Low order Whitney elements are widely used for electromagnetic field problems. Higher order approximations are receiving increasing interest but their definition remains unduly complex. In this paper we propose a new simple construction for Whitney p-elements of polynomial degree higher than one that use only degrees of freedom associated to p-chains. We provide a basis for these elements on si...

I’ll give an outline of the theory of Whitney algebras of a matroid, with the notions of geometric product and the excahnge relations, I’ll give the letterplace superalgebra coding of these algebras, and I’ll show how this coding allows to get the exchange relations directly from the superstraightening laws. I’ll not speak about the Lax Hopf algebra structure of Whitney algebras. All this is pa...

Classical approaches for analyzing reverse transcription quantitative polymerase chain reaction (RT-qPCR) data commonly require normalization before assessing differential expression (DE). Normalization often has a substantial effect on the interpretation and validity of the subsequent analysis steps, but at the same time it causes a reduction in variance and introduces dependence among the nor...

Most conventional statistical tests for analyzing RT-qPCR data require normalization before differential expression can be assessed. This normalization can have a substantial effect on the interpretation and validity of the statistical test, but this effect is often ignored. Therefore the uWMW test, as proposed in [1], extends the Wilcoxon–Mann–Whitney test so that the normalization is incorpor...

Klystrons capable of 75 MW output power at 11.4 GHz have been under development at SLAC for the last decade. The work has been part of the program to realize all the components necessary for the construction of the Next Linear Collider (NLC). The effort has produced a family of solenoid-focused 50 MW klystrons, which are currently powering a 0.5 GeV test accelerator at SLAC and several test sta...