We discuss the superstability of generalized module left derivations and generalized module derivations on a Banach module. Let A be a Banach algebra and X a Banach A-module, f : X → X and g : A → A. The mappings Δ1 f,g , Δ2 f,g , Δ3 f,g , and Δ4 f,g are defined and it is proved that if ‖Δ1 f,g x, y, z,w ‖ resp., ‖Δ3 f,g x, y, z,w, α, β ‖ is dominated by φ x, y, z,w , then f is a generalized re...

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.

This paper presents a new tri-dexel volumetric modeling method for representing complex geometric models in applications such as haptic virtual sculpting and product prototyping. A tri-dexel model consists of three overlapping dexel models in X, Y, and Z axis directions, respectively. Detailed algorithms of eliminating inconsistency in a tri-dexel model and reconstructing a water-tight polyhedr...

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.

In this work, we present TRI-DIRECT, an interactive visual analytic system with capabilities to analyze spatio-temporal data for both professional and novice users. The system is motivated by the Toxic Release Inventory (TRI) program of US Environmental Protection Agency (EPA) and its associated datasets; the TRI program was created in 1986 to track toxic chemical usage, which includes release,...

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 There is growing evidence that transradial (TRI) as compared to transfemoral (TFI) percutaneous coronary intervention (PCI) is associated with improved clinical outcome driven by less hemorrhagic complications, in particular in STEMI patients receiving aggressive antithrombotic treatment. Feasibility rate of TRI in STEMI patients has not yet been evaluated. METHODS/RESULTS Four-hun...

BACKGROUND AND PURPOSE Treatment with triglyceride emulsions of docosahexaenoic acid (tri-DHA) protected neonatal mice against hypoxia-ischemia (HI) brain injury. The mechanism of this neuroprotection remains unclear. We hypothesized that administration of tri-DHA enriches HI-brains with DHA/DHA metabolites. This reduces Ca2+-induced mitochondrial membrane permeabilization and attenuates brain ...

R epo contracts are a kind of collateralized loan that has become predominant in the United States among large cash investors. There are several types of repo contracts, such as bilateral delivery-versuspayment repos, interdealer repos, and tri-party repos. A significant portion of repo transactions in the United States take the form of tri-party repos, where a third party (a clearing bank) pro...