A self-reciprocal function

Reciprocal Association between Thyroid Function and Metabolic Syndrome: A Review Article

Introduction: Thyroid dysfunction can impair fat and glucose metabolism, blood pressure, and body weight. On the other hand, metabolic syndrome (MetS) can be associated with an increased risk of hypothyroidism. Due to the high prevalence of both disorders and the possibility of synergistic metabolic detrimental consequences in combination, this review study aimed to investigate the reciprocal a...

Self-reciprocal Polynomials Over Finite Fields

The reciprocal f ∗(x) of a polynomial f(x) of degree n is defined by f ∗(x) = xf(1/x). A polynomial is called self-reciprocal if it coincides with its reciprocal. The aim of this paper is threefold: first we want to call attention to the fact that the product of all self-reciprocal irreducible monic (srim) polynomials of a fixed degree has structural properties which are very similar to those o...

On Properties of Self Reciprocal Functions

Reciprocal vector theory for diffractive self-imaging.

A reciprocal vector theory for analysis of the Talbot effect of periodic objects is proposed. Using this method we deduce a general condition for determining the Talbot distance. Talbot distances of some typical arrays (a rectangular array, a centered-square array, and a hexagonal array) are derived from this condition. Further, the fractional Talbot effect of a one-dimensional grating, a squar...

The Self System in Reciprocal Determinism

Explanations of human behavior have generally favored unidirectional causal models emphasizing either environmental or internal determinants of behavior. In social learning theory, causal processes are conceptualized in terms of reciprocal determinism. Viewed from this perspective, psychological functioning involves a continuous reciprocal interaction between behavioral, cognitive, and environm...