The paper deals with affine selections of affine (both convex and concave) multifunctions acting between finite-dimensional real normed spaces. It is proved that each affine multifunction with compact values possesses an exhaustive family of affine selections and, consequently, can be represented by its affine selections. Moreover, a convex multifunction with compact values possesses an exhaust...

In this literature review, the authors suggested that three themes arose from recent vocational psychology literature promoting (a) agency in career development, (b) equity in the workforce, and (c) well‐being in work and educational settings. The authors reviewed research on career adaptability, self‐efficacy beliefs, and work volition with the goal of delineating variables that promote or con...

We make the first steps towards showing a general “randomness for free” theorem for stochastic automata. The goal of such theorems is to replace randomized schedulers by averages of pure schedulers. Here, we explore the case of measurable multifunctions and their measurable selections. This involves constructing probability measures on the measurable space of measurable selections of a given me...

MR0864505 (90a:58201) 58G99; 35A99, 35B99, 53C42, 58-02 Gromov, Mikhael Partial differential relations. (English) Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], 9. Springer-Verlag , Berlin, 1986. x+363 pp. $60.00. ISBN 3-540-12177-3 Around 1970, the world of differential geometry was astounded by the news that a young Russian by the name of ...

MR0004042 (2,309c) 20.0X Brauer, R.; Nesbitt, C. On the modular characters of groups. Annals of Mathematics. Second Series 42 (1941), 556–590. The authors first summarize the theory of modular characters of a finite group G as previously developed by them [Univ. of Toronto Studies, Math. Series, no. 4, 1937]. If an element of G is defined to be p-regular when its order is prime to p, one of the...

In the past 12–15 years, most experiments on the health effects of diesel exhaust particles (DEP) have employed samples from one of two types of engines. Automobile-generated DEP has been tested extensively for its effects on the heart and lungs, but not its muta-genic properties. Forklift-generated DEP, on the other hand, has been tested primarily for genotoxicity but not for heart effects, an...

MR1316662 (95k:83006) 83C05; 35Q75, 58G16, 83C35 Christodoulou, Demetrios; Klainerman, Sergiu The global nonlinear stability of the Minkowski space. (English) Princeton Mathematical Series, 41. Princeton University Press , Princeton, NJ , 1993. x+514 pp. $69.50. ISBN 0-691-08777-6 This book presents the authors’ theorem on the stability of Minkowski space, a landmark in the development of mathe...