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...

OBJECTIVE A positive family history (FH) is a risk factor for late-onset Alzheimer's disease (AD). Our aim was to examine the effects of FH on pathological and neuronal loss biomarkers across the cognitive spectrum. DESIGN Cross-sectional analyses of data from a national biomarker study. SETTING The Alzheimer's Disease Neuroimaging Initiative national study. PATIENTS 257 subjects (ages 55...

BACKGROUND The hypothetical model of dynamic biomarkers for Alzheimer's disease (AD) describes high amyloid deposition and hypometabolism at the mild cognitive impairment (MCI) stage. However, it remains unknown whether brain amyloidosis and hypometabolism follow the same trajectories in MCI individuals. We used the concept of early MCI (EMCI) and late MCI (LMCI) as defined by the Alzheimer's d...

Detections of CO, CS, SO, C2H,HCO, HCN,HNC, H2CO, and C3H2 are reported from LIRS 36, a star-forming region in the Small Magellanic Cloud. C18O, NO, CH3OH, and most notably CN have not been detected, while the rare isotopes 13CO and, tentatively, C34S are seen. This is so far the most extensive molecular multiline study of an interstellar medium with a heavy element depletion exceeding a factor...

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...

We report the detection, for first time in space, of cyano thioformaldehyde (HCSCN) and propynethial (HCSCCH) towards starless core TMC-1. Cyano presents a series prominent a- b-type lines, which are strongest previously unassigned features our Q-band line survey Remarkably, HCSCN is four times more abundant than formaldehyde (HCOCN). On other hand, HCSCCH five less propynal (HCOCCH). Surprisin...

The present work investigates the effect of pilot fuel properties on TF combustion using premixed methane-hydrogen-air (CH4-H2-air) mixtures ignited by a small amount diesel pilot. Especially, we are investigating cetane number (CN) and aromatic content (AC) in single-cylinder compression ignition (CI) engine at varying charge air temperatures (Tair = 25 °C, 40 55 °C) H2 volume fractions (MH2 1...

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...