Quaternion measurable processes are introduced and the Dirac equation is derived from the Langevin equation associated with a two-valued process.

The purpose of this brief paper is to present a new derivation of Biot’s theory of linear poroelasticity [1, 2, 3] in a modern thermodynamically-consistent fashion, and show that it may be deduced as a special case of a more general theory of chemoelasticity.

BACKGROUND The phenomenon of silent myocardial infarction is poorly understood. METHODS We aimed to evaluate the prevalence, extent, and independent predictors of silent myocardial infarction in 2 large independent cohorts of consecutive patients without a history of myocardial infarction referred for rest/stress myocardial perfusion single photon emission computed tomography. There were 1621...

The energy equation for turbulent flow of fiber suspensions was derived in terms of second order correlation tensors. Fiber motion of turbulent energy including the correlation between pressure fluctuations and velocity fluctuations was discussed at two points of flow field, at which the correlation tensors were the functions of space coordinates, distance between two points, and time.

Amenability is a cohomological property of Banach algebras which was introduced by Johnson in [14]. Let A be a Banach algebra, and suppose that X is a Banach A−bimodule such that the following statements hold ∥a · x∥ ≤ ∥a∥∥x∥ and ∥x · a∥ ≤ ∥a∥∥x∥ for each a ∈ A and x ∈ X. We can define the right and left actions of A on dual space X∗ of X via ⟨x, λ · a⟩ = ⟨a · x, λ⟩ ⟨x, a · λ⟩ = ⟨x · a, λ⟩, for...

gut, resulting from the shift to the right side, of tissue derived from the left side of the embryo. Rightness and leftness of derivation are maintained and can be observed in later development when these regions have been stained. When stain was localized in the right wall of the duodenum after application to the right or midventral region in the level of the prospective duodenum, or posterior...

Background—Effective risk stratification can inform clinical decision-making. Our objective was to derive and validate a risk score for in-hospital mortality in patients hospitalized with heart failure using American Heart Association Get With the Guidelines–Heart Failure (GWTG-HF) program data. Methods and Results—A cohort of 39 783 patients admitted January 1, 2005, to June 26, 2007, to 198 h...

let $mathfrak{a}$ be an algebra. a linear mapping $delta:mathfrak{a}tomathfrak{a}$ is called a textit{derivation} if $delta(ab)=delta(a)b+adelta(b)$ for each $a,binmathfrak{a}$. given two derivations $delta$ and $delta'$ on a $c^*$-algebra $mathfrak a$, we prove that there exists a derivation $delta$ on $mathfrak a$ such that $deltadelta'=delta^2$ if and only if either $delta'=0$...

BACKGROUND The predictive value of heart rate variability (HRV) in chronic heart failure (CHF) has never been tested in a comprehensive multivariate model using short-term laboratory recordings designed to avoid the confounding effects of respiration and behavioral factors. METHODS AND RESULTS A multivariate survival model for the identification of sudden (presumably arrhythmic) death was dev...

BACKGROUND AND PURPOSE Identifying occult coronary artery stenosis may improve secondary prevention of stroke patients. The aim of this study was to derive and validate a simple score to predict severe occult coronary artery stenosis in stroke patients. METHODS We derived a score from a French hospital-based cohort of consecutive patients (n=300) who had an ischemic stroke or a transient isch...