We construct Adams operations on higher algebraic K-groups induced by operations such as symmetric powers on any suitable exact category, by constructing an explicit map of spaces, combinatorially defined. The map uses the S-construction of Waldhausen, and deloops (once) earlier constructions of the map.

A new definition of analytic adjoint ideal sheaves for quasi-plurisubharmonic (quasi-psh) functions with only neat singularities is studied and shown to admit some residue short exact sequences which are obtained by restricting sections the newly defined unions $\sigma$-log-canonical ($\sigma$-lc) centres. The induce naturally $L^2$ norms on $\sigma$-lc centres invariant under log-resolutions. ...

In this paper, we introduce the notions of expansion of ideals in $MV$-algebras, $ (tau,sigma)- $primary, $ (tau,sigma)$-obstinate  and $ (tau,sigma)$-Boolean  in $ MV- $algebras. We investigate the relations of them. For example, we show that every $ (tau,sigma)$-obstinate ideal of an $ MV-$ algebra is $ (tau,sigma)$-primary  and $ (tau,sigma)$-Boolean. In particular, we define an expansion $ ...

The transverse-field $XY$ chain with the long-range interactions was investigated by means of exact-diagonalization method. algebraic decay rate $\sigma$ interaction is related to effective dimensionality $D(\sigma)$, which governs criticality transverse-field-driven phase transition at $H=H_c$. According large-$N$ analysis, boundary $H_c(\eta)$ exhibits a reentrant behavior within $2<D < 3.065...

Graphic outcome of a Parsing Operator (P) process that unveil “Common Words” (3,000) and keywords (53,000) from of a Library of Documents belonging to a single discipline of a HKM, Human Knowledge Map. Along the x coordinate of this peculiar “S curve” we depict the logarithm of documents’ sample size times a Unit Sample Size versus the number (#) of detected semantic units, being either Common ...

Anabelian geometry is a grand synthesis of number theory, algebraic geometry, algebraic topology, and group theory. Parallel to the situation in algebraic topology where to a space, one attaches a fundamental group (after fixing a basepoint), in algebraic geometry one attaches to every algebraic variety X (and a geometric point x) its étale fundamental group πét 1 (X,x). Similar to the topologi...

Abstract We develop a new framework for the study of generalized Killing spinors, where every spinor equation, possibly with constraints, can be formulated equivalently as system partial differential equations polyform satisfying algebraic relations in Kähler–Atiyah bundle constructed by quantizing exterior algebra underlying manifold. At core this lies characterization, which we detail, image ...

We have used a nonspecific protein cleaving reagent to map the interactions between subunits of the multisubunit enzyme RNA polymerase (Escherichia coli). We developed suitable conditions for using an untethered Fe-EDTA reagent, which does not bind significantly to proteins. Comparison of the cleaved fragments of the subunits from the core enzyme (alpha 2 beta beta') and the holoenzyme (core+si...

Precise underwater navigation is crucial in a number of marine applications. Navigation of most autonomous underwater vehicles (AUVs) is based on inertial navigation. Such navigation systems drift off with time and external fixes are needed. This paper concentrates on one such method, namely terrain based navigation, where position fixes are found by comparing measurements with a prior map. Non...