We present calculations of the leading and O(1/N f) terms in a large-N f expansion of the β-functions and anomalous dimensions for various supersymmetric gauge theories, including supersymmetric QCD. In the case of supersymmetric QCD, we show that our O(1/N f) approximation displays an infra-red fixed point in the conformal window 3 2

the study of the dynamic behavior of a rigid body with one fixed point (gyroscope) has a long history. a number of famous mathematicians and mechanical engineers have devoted enormous time and effort to clarify the role of dynamic effects on its movement (behavior) – stable, periodic, quasi-periodic or chaotic. the main objectives of this review are: 1) to outline the characteristic features of...

For the last 80 years, the Stroop task has been used to test theories of attention and cognitive control and it has been applied in many clinical settings. Most theories posit that the overwhelming power of written words overcomes strict instructions to focus on print color and ignore the word. Recent evidence suggests that trials in the Stroop task could in fact be a mixture of reading trials ...

In 1994, S.G. Matthews introduced the notion of a partial metric space and obtained, among other results, a Banach contraction mapping for these spaces. Later on, S.J. O’Neill generalized Matthews’ notion of partial metric, in order to establish connections between these structures and the topological aspects of domain theory. Here, we obtain a Banach fixed point theorem for complete partial me...

We present a positive solution to McColm’s conjecture for the special case of decidable theories. This gives a uniform explanation of the separation of fixed-point from first-order definability over a wide range of commonly studied classes of finite structures (including ordered ones). We demonstrate why this result generalizes the standard constructive proofs, and show why it is unlikely that ...

In the MSSM the quasi-infra-red fixed point for the top-quark Yukawa coupling gives rise to specific predictions for the soft-breaking parameters. We discuss the extent to which these predictions are modified by the introduction of additional “non-holomorphic” soft-breaking terms. We also show that in a specific class of theories, there exists an RGinvariant trajectory for the “non-holomorphic”...

Some common fixed point theorems for Cq-commuting generalized nonexpansive mappings have been proved in metric spaces. As applications, invariant approximation results are also obtained. The results proved in the paper extend and generalize several known results including those of M. Abbas and J.K. Kim [Bull. Korean Math. Soc. 44(2007) 537-545], I. Beg, N. Shahzad and M. Iqbal [Approx. Theory A...

The Brouwer Fixed Point Theorem states that any continuous mapping from a closed ball in Euclidean space to itself has at least one fixed point. This theorem has a wide variety of applications in areas such as differential equations, economics, and game theory. Although this is fundamentally an analytic and topological statement, there exists an elegant combinatorial proof using Sperner’s Lemma...