Identifying concept–formation as a mathematical process and demonstrating that the essence of a concept is objective, rather than intrinsic or subjective, Ayn Rand claims to have solved the “problem of universals” in philosophy and to have paved the way for the validation of scientific induction. Rand’s theory holds profound implications for marketing theory.

Let f : C → C be a meromorphic function. We study the size of the maximal disc in C with respect to spherical metric, in which a singlevalued branch of f−1 exists. The problem is related to normality and type criteria. Best possible lower estimates of the size of such discs are obtained for entire functions and a class of meromorphic functions containing all elliptic functions. An estimate for ...

in this work, we obtain the fekete-szegö inequalities for the class $p_{sigma }left( lambda ,phi right) $ of bi-univalent functions. the results presented in this paper improve the recent work of prema and keerthi [11].

in the present paper, we prove subordination, superordination and sandwich-type properties of a certain integral operators for univalent functions on open unit disc, moreover the special behavior of this class is investigated.

CONDITIONAL DISCRIMINATIVE FUNCTIONS OF MEANINGFUL STIMULI AND ENHANCED EQUIVALENCE CLASS FORMATION by Roxana I. Nedelcu Adviser: Dr. Lanny Fields, Ph.D. Two experiments explored how the formation of two 3-node, 5member equivalence classes by college students was influenced by the prior acquisition of conditional discriminative functions by one of the abstract stimuli, designated as C, in the c...

For (c,,..., c„) in C, let C(cx,..., c„) denote the class of functions/(z) = 1 + cxz + ■ ■ • + cnz" + 2*>_„+ia*z* which are analytic and satisfy Re/(z) > 0 in the unit disc. The unique function of least H2 norm in C(cx,. .., c„) is explicitly determined. In this paper we consider a minimal interpolation problem at the origin, for the class H2 n C, where H2 denotes the well-known Hardy space for...

Let us consider two closed homeomorphic manifolds M;N of class C 1 and two functions j : M ! R, c : N ! R of class C . The natural pseudodistance d between the pairs ðM; jÞ; ðN;cÞ is defined as the infimum of Yð f Þ 1⁄4 def maxP AMjjðPÞ cð f ðPÞÞj, as f varies in the set of all homeomorphisms from M onto N. In this paper we prove that a suitable multiple of d by a positive integer k coincides w...

A certificate of non-membership for a Boolean function f with respect to a class C, f 6∈ C, is a set S of input strings such that the values of f on strings from S are inconsistent with any function h ∈ C. We study certificates of non-membership with respect to several classes of read-once functions, generated by their bases. For the basis {&,∨,¬}, we determine the optimal certificate size for ...