The minimum rank of a simple graph G over a field F is the smallest possible rank among all symmetric matrices over F whose ijth entry (for i != j) is nonzero whenever {i, j} is an edge in G and is zero otherwise. We define a universally optimal matrix to be an integer matrix A such that every off-diagonal entry of A is 0, 1, or −1, and for all fields F , the rank of A is the minimum rank over ...

A projective manifold is algebraically hyperbolic if the degree of any curve is bounded from above by its genus times a constant, which is independent from the curve. This is a property which follows from Kobayashi hyperbolicity. We prove that hyperkähler manifolds are not algebraically hyperbolic when the Picard rank is at least 3, or if the Picard rank is 2 and the SYZ conjecture on existence...

Sakharov’s 1967 notion of “induced gravity” is currently enjoying a significant resurgence. The basic idea, originally presented in a very brief 3-page paper with a total of 4 formulas, is that gravity is not “fundamental” in the sense of particle physics. Instead it was argued that gravity (general relativity) emerges from quantum field theory in roughly the same sense that hydrodynamics or co...

This investigation follows up the suggestion that the equation of state for superconducting cosmic strings provided by Witten’s prototype biscalar field model can be well represented by an effective Lagrangian of simple logarithmic form depending on only 3 independent parameters. The numerical work described here confirms the validity of this approximation, and initiates the evaluation of the 3...

BACKGROUND The learning styles are the distinctive learners' strategies for information processing and discovering new concepts. One of the most important kinds of learning styles is the Witkin's theory of field dependence-independence cognitive style. OBJECTIVE This study seeks to find the relationship between field dependence -independence cognitive style and English text reading comprehens...

Side-channel analysis attacks, particularly power analysis attacks, have become one of the major threats, that hardware designers have to deal with. To defeat them, the majority of the known concepts are based on either masking, hiding, or rekeying (or a combination of them). This work deals with a hiding scheme, more precisely a powerequalization technique which is ideally supposed to make the...

Independence (in fact as well as in appearance) is widely thought to be necessary for the quality of audits, and audit quality is often equated with independence. Private incentives to demand (and supply) independent certification of financial statements are thought to be insufficient, thus the need to mandate independence through regulation. This study presents data from a field experiment on ...

⋆ E-mail address: [email protected], [email protected] † Permanent address: Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India. ‡ E-mail address: [email protected], [email protected]. Supported in part by D.O.E. contract DE-AC02-76ER03069. We prove local background independence of the complete quantum closed string field theory using the recursion re...