A Rademacher-type convergent series formula which generalizes the Hardy-Ramanujan-Rademacher formula for the number of partitions of n and the Zuckerman formula for the Fourier coefficients of θ4(0 | τ)−1 is presented. 1. Background 1.1. Partitions. A partition of an integer n is a representation of n as a sum of positive integers, where the order of the summands (called parts) is considered ir...

A recent work of Chen, Kabanets, Kolokolova, Shaltiel and Zuckerman (CCC 2014, Computational Complexity 2015) introduced the Compression problem for a class C of circuits, defined as follows. Given as input the truth table of a Boolean function f : {0, 1} → {0, 1} that has a small (say size s) circuit from C, find in time 2 any Boolean circuit for f of size less than trivial, i.e. much smaller ...

There is limited literature on the relationship between sensation seeking and adolescent risk behaviors, particularly among African Americans. We tested the association between psychometrically-derived subscales of the Zuckerman Sensation Seeking Scale and the intercepts and slopes of individual growth curves of conduct problems, sexual risk taking, and substance use from ages 13 to 18 years by...

This study was designed to investigate the relationship between risk taking behavior/perception and five factors of personality (AFFM). To realize the main objective of the study DomainSpecific Risk-Taking Scale and Zuckerman-Kuhlman Personality Questionnaire were administered on a group of 57 subjects ranging in age from 18 to 24 years. Obtained data was analyzed by using descriptive statistic...

Previous work (Knee & Zuckerman, 1996) found that the combination of high autonomy and low control was associated with fewer self-enhancing attributions after success and fewer self-protective attributions after failure. The present research again found strong support for a synergistic effect of causality orientations on defensive behavior through a prospective examination of defensive coping s...

For every n and 0 < < 1, we construct graphs on n nodes such that every two sets of size n share an edge, having essentially optimal maximum degree n 1?+o(1). Using known and new reductions from these graphs, we explicitly construct: 1. A k round sorting algorithm using n 1+1=k+o(1) comparisons. 2. A k round selection algorithm using n 1+1=(2 k ?1)+o(1) comparisons. 3. A depth 2 superconcentrat...

The covariant phase space of a lagrangian ¦eld theory is the solution space of the associated Euler-Lagrange equations. It is, in principle, a nice environment for covariant quantization of a lagrangian ¦eld theory. Indeed, it is manifestly covariant and possesses a canonical (functional) ¤presymplectic structure¥ ω (as ¦rst noticed by Zuckerman in 1986) whose degeneracy (functional) distributi...

JOSEPH MEITES, BERNARD T. DONOVAN, and SAMUEL M. McCANN (editors), Pioneers in neuroendocrinology, volume II, New York and London, Plenum Press, 1978, 8vo, pp. 422, $39.00. This series of autobiographies continues with twenty-four further essays. The individuals concerned include the three editors, Roger Guillemin, and Solly Zuckerman. These are the second generation of pioneers, whose contribu...

This article attempts to bridge and contribute to three related lines of inquiry: the effect of economic organization on cultural diversity; the origins of career specialism; and the contrast between market and firm as alternative modes of governance. In particular, I use the natural experiment engendered by the transformation of Hollywood from the firmbased studio system to the contemporary ma...

Abstract This article will reveal how local scientific determination and ambition, in the face of rejection by funders, navigated a path to success influence national policy international medicine. It demonstrate that Birmingham, England's ‘second city’, was key centre for cutting-edge biological psychiatry Britain 1920s 1930s. The ambitions Frederick Mott – doyen biochemistry, neuropathology n...