We consider the upper bounds of the finite block length capacity Cn,FB(P ) of the discrete time Gaussian channel with feedback. We also let Cn(p) the nonfeedback capacity. We prove the relations Cn(P ) ≤ Cn,FB(P ) ≤ Cn(αP ) + 1 2 ln(1 + 1 α ) and Cn(P ) ≤ Cn,FB(P ) ≤ (1 + 1 α )Cn(αP ) for any P > 0 and any α > 0, which induce the half-bit and factor-of two bounds given by Cover and Pombra in th...

a vertex irregular total k-labeling of a graph g with vertex set v and edge set e is an assignment of positive integer labels {1, 2, ..., k} to both vertices and edges so that the weights calculated at vertices are distinct. the total vertex irregularity strength of g, denoted by tvs(g)is the minimum value of the largest label k over all such irregular assignment. in this paper, we study the to...

The objective of our study was to evaluate whether cognitively normal (CN) elderly participants showing elevated cortical beta-amyloid (Aβ) deposition have a consistent neuroanatomical signature of brain atrophy that may characterize preclinical Alzheimer's disease (AD). 115 CN participants who were Aβ-positive (CN +) by amyloid PET imaging; 115 CN participants who were Aβ-negative (CN -); and ...

The full transformation semigroup TnTn is defined to consist of all functions from Xn={1,…,n}Xn={1,…,n} itself, under the operation composition. In \cite{JMH1}, for any αα in TnTn, Howie and denoted collapse by c(α)=⋃t∈\im(α){tα−1:|tα−1|≥2}c(α)=⋃t∈\im(α){tα−1:|tα−1|≥2}. Let OnOn be order-preserving transformations CnCn decreasing on XnXn=under its natural order, respectively. E(On)E(On) set ide...

The effects of ultrasonic treatment (UT)-assisted transglutaminase (TGase) catalysis on the physicochemical properties individual ?s-casein (?s-CN), ?-casein (?-CN), and ?-casein (?-CN) were investigated. After 60 min incubation at 30 °C, ?s-CN, ?-CN, ?-CN cross-linked with TGase (6.0 units/mL), high molecular weight polymers (>200 kDa) formed. use in conjunction UT (20 kHz, power 400 W, amp...

The vibrational predissociation spectra of the CN–H2 and CN–D2 complexes are measured in regions between 450 3100 cm−1 an ion trap at different temperatures free electron lasers for infrared experiments (FELIX) Laboratory. Strong differences two para ortho nuclear spin isomers (CN–(p-H2) or CN–(o-H2) CN–(p-D2) CN–(o-D2)) detected. In case we could assign observed bands with help accurate quantu...

CME Outfi tters designates this enduring material for a maximum of 1 AMA PRA Category 1 CreditTM. Physicians should claim only the credit commensurate with the extent of their participation in the activity. STATEMENT OF NEED Insomnia can affect many aspects of an individual’s life— impairing concentration and memory, increasing the risk of incident depression or recurrence of a depressive episo...

Cn (calcineurin) activity is stabilized by SOD1 (Cu-Zn superoxide dismutase), a phenomenon attributed to protection from superoxide (O2*-). The effects of O2*- on Cn are still controversial. We found that O2*-, generated either in vitro or in vivo did not affect Cn activity. Yet native bovine, recombinant human or rat, and two chimaeras of human SOD1-rat SOD1, all activated Cn, but SOD2 (Mn-sup...

A series of M[Au(CN)(2)](2)(analyte)(x) coordination polymers (M = Co, Ni; analyte = dimethylsulfoxide (DMSO), N,N-dimethylformamide (DMF), pyridine; x = 2 or 4) was prepared and characterized. Addition of analyte vapours to solid M(μ-OH(2))[Au(CN)(2)](2) yielded visible vapochromic responses for M = Co but not M = Ni; the IR ν(CN) spectral region changed in every case. A single crystal structu...

The smallest cardinality of an r-locating-dominating code in a cycle Cn of length n is denoted by M r (Cn). In this paper, we prove that for any r ≥ 5 and n ≥ nr when nr is large enough (nr = O(r3)) we have n/3 ≤ M r (Cn) ≤ n/3 + 1 if n ≡ 3 (mod 6) and M r (Cn) = n/3 otherwise. Moreover, we determine the exact values of M 3 (Cn) and M 4 (Cn) for all n.