In the literature, popular electronic structure principles regarding electronegativity, chemical hardness and electrophilicity concepts are available. It is undeniable that the equalization principles related to reactivity indexes such as electronegativity, hardness, and electrophilicity have been widely used to calculate the partial charges of atoms in a molecule. It is apparent that all such ...

Let A1, . . . , An be central simple algebras over a field F . Suppose that we possess an information on the Schur indexes of some tensor products of (some tensor powers of) the algebras. What can be said (in general) about possible degrees of finite field extensions of F splitting the algebras? In Part I, we prove a positive result of that kind. In Part II, we prove a negative result. In Part ...

“preventing an evil takes priority over securing an interest” and preferring the prohibition side is among discussions raised by usuli scholars and has been accepted as particular affirmative proposition; the said priority is known among islamic jurisprudents as “ preventing an evil takes priority over securing a benefit” in whose … is the contrast of evil and benefit. four interpretations of t...