The Honor Society of Phi Kappa Phi is the nation's oldest, largest, and most highly selective all-discipline honor society, with more than three hundred chapters on campuses across the country. The structure and continuity of the organization depend on volunteer faculty and student leaders at each college or university, both for selection and induction of honorees and for our increasing service...

Let $p \geq 2$ be a prime, and $\mathbb{F}_p$ the field with $p$ elements. Extending result of Seidel for $p=2,$ we construct an isomorphism between Floer cohomology exact or Hamiltonian symplectomorphism $\phi,$ coefficients, $\mathbb{Z}/p \mathbb{Z}$-equivariant Tate its $p$-th power $\phi^p.$ The construction involves Kaledin-type quasi-Frobenius map, as well pants product: equivariant opera...

Overdiagnosis of prostate cancer (PCa) should be minimized. We wanted to evaluate the diagnostic performance health index density (PHID) and compare it with that (PHI) alone prostate-specific antigen (PSAD). 232 men scheduled for a biopsy (prostate-specific level: 2–10 µg/L), were enrolled. PHI, PHID PSAD evaluated considering PCa clinically significant (csPCa) as outcomes. For PCa, area under ...

Simple continued fractions, base-b expansions, Dedekind cuts and Cauchy sequences are common notations for number systems. In this note, first, it is proven that both simple continued fractions and base-b expansions fail to denote real numbers and thus lack logic; second, it is shown that Dedekind cuts and Cauchy sequences fail to join in algebraical operations and thus lack intuition; third, w...

Many operations exist for constructing Scott-domains. This paper presents Dedekind completion as a new operation for constructing such domains and outlines an application of the operation. Dedekind complete Scott domains are of particular interest when modeling versions of λ-calculus that allow quantification over sets of arbitrary cardinality. Hence, it is of interest when constructing models ...

We fix data $(K/F, E)$ consisting of a Galois extension $K/F$ characteristic $p$ global fields with arbitrary abelian group $G$ and Drinfeld module $E$ defined over certain Dedekind subring $F$. For this data, we define $G$-equivariant $L$-function $\Theta_{K/F}^E$ prove an equivariant Tamagawa number formula for Euler-completed versions its special value $\Theta_{K/F}^E(0)$. This generalizes T...

Let R be a local ring of bounded module type. It is shown that R is an almost maximal valuation ring if there exists a non-maximal prime ideal J such that R/J is an almost maximal valuation domain. We deduce from this that R is almost maximal if one of the following conditions is satisfied: R is a Q-algebra of Krull dimension ≤ 1 or the maximal ideal of R is the union of all non-maximal prime i...