In this article we introduce (combinatorial) multi{color discrepancy and generalize some classical results from 2{color discrepancy theory to c colors. We give a recursive method that constructs c{colorings from approximations to the 2{color discrepancy. This method works for a large class of theorems like the six{standard{deviation theorem of Spencer, the Beck{Fiala theorem and the results of ...

We discuss preliminary results from two experiments and put forth the notion that development of sensory systems might be more geared towards discerning differences rather than for spotting similarities. present possibility necessity to spot have evolved ensure survival organism, which suggests numerous other assess response participants various stimuli. consider our state affairs, wherein need...

We describe hypergeometric functions of Deligne-Mostow type for open subsets of the configuration space of six points on P, induced from those for seven points on P. The seven point ball quotient example DM(2, 1) does not appear on Mostow’s original list [9], but does appear on Thurston’s corrected version [12]. We show that DM(2, 1) is a finite cover of the moduli space of cubic surfaces MC en...

We study the notion of a strongly normal sequence in the dual E∗ of a Banach space E. In particular, we prove that the following three conditions are equivalent: (1) E∗ has a strongly normal sequence, (2) (E∗, σ(E∗, E)) has a Schauder basic sequence, (3) E has an infinite-dimensional separable quotient.

INTRODUCTION The sural/radial nerve amplitude ratio (SRAR) is the quotient of the sensory nerve action potential (SNAP) amplitudes (Amp) of the sural and the superficial radial nerve. It has been hypothesized that this ratio can be used for the detection of early axonal loss, because the sural SNAP amplitude will decrease first, thereby also decreasing the SRAR value. OBJECTIVES To determine ...

Acknowledgments First of all I want to thank my advisor, Stefan Felsner. In lectures and many discussions I learned a lot from him not only about graph theory and combinatorics. He was also willing to share the large and little tricks and insights that make (scientific) working so much easier. During lunches and many coffee breaks I also learned a lot from Stefan about life, the universe, and e...

BACKGROUND Abnormal sensory sensitivity is a feature of autism-spectrum disorder (ASD), but is also reported in attention-deficit/hyperactivity disorder (ADHD). In many cases, ADHD and ASD are comorbid. This study investigated the prevalence of sensory hyper- and hyposensitivity among adults with ADHD, controlling for autistic symptoms. METHOD One hundred and sixteen adults diagnosed with ADH...

abstract. in this paper we study some relations between the power andquotient power graph of a finite group. these interesting relations motivateus to find some graph theoretical properties of the quotient power graphand the proper quotient power graph of a finite group g. in addition, weclassify those groups whose quotient (proper quotient) power graphs areisomorphic to trees or paths.

An immediate generalization of the classical McKay correspondence for Gorenstein quotient spaces C/G in dimensions r ≥ 4 would primarily demand the existence of projective, crepant, full desingularizations. Since this is not always possible, it is natural to ask about special classes of such quotient spaces which would satisfy the above property. In this paper we give explicit necessary and suf...