General method of preparation of mesoporous M/Si3N4 nano-composites via a non-aqueous sol-gel route

We report a general method for the preparation of transition-metal silicon nitride nanocomposites; for example, mesoporous Pd-Si3N4 nanocomposite materials with high surface area were prepared by pyrolysis of a silicon palladium imide-chloride complex which was synthesized by reaction of silicon diimide gel with palladium chloride. These porous nanocomposites catalyse organic reactions.     

Electromagnetic field theory solution of the infinite tapered-plane transmission line

Zusammenfassung Für den eingeschwungenen Zustand dertapered-plane transmission line wird eine neue Lösungsmethode beschrieben und gezeigt, dass die Impedanztransformation direkt vom Verhältnis der Abstände zwischen Anfang und Ende der leitenden Ebenen bestimmt wird. Die Phasendifferenz der Spannungen zwischen den Leitungsenden ist dem Öffnungswinkel der beiden Ebenen proportional. Kriterien für den Entwurf solcher Leitungen lassen sich angeben.

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This work was submitted byNoach Amitay in partial fulfillment of the Degree Doctor of Philosophy.     

A New Shuffle Convolution for Multiple Zeta Values

Recently, interest in shuffle algebra has been renewed due to their connections with multiple zeta values. In this paper, we prove a new shuffle convolution that implies a reduction formula for the multiple zeta value z({5,1}ⁿ).Research partially supported by a grant from the Number Theory Foundation.     

On <Emphasis Type="Italic">Q</Emphasis>-Upper Algebras

Given a poset we introduce the notion of Q-upper algebras and study the (positive) implicativity, commutativity and quasi-commutativity in Q-upper algebras.     

Riesz Idempotent and Weyl’s Theorem for w-hyponormal Operators

Let T be a w-hyponormal operator on a Hilbert space H, its Aluthge transform, λ an isolated point of the spectrum of T, and E_λ and the Riesz idempotents, with respect to λ, of T and respectively. It is shown that Consequently, E_λ is self-adjoint, and if λ ≠ 0. Moreover, it is shown that Weyl’s theorem holds for f(T), where f ∈ H(σ (T)).     

Upper and lower bounds of temporal and spatial decays for the Navier-Stokes equations

We obtain the lower bounds of the temporal-spatial decays for weak solutions of the Navier-Stokes equations

     

Branching ratio for the production of I2Psol12) in the photodissociation of I2

The production of atomic iodine in the ground (²Pfrsol|3/2) and electronically excited (²P$\text{1}\text{3}$) states following laser-induced photodissociation of I₂ the region 425–498 nm was monitored directly by resonance spectroscopy. The branching ratio for iodine atom formation. R = [I(²P$\text{1}\text{2}$)]/[I(²P$\text{3}\text{2}$)], is above 0.5 in the region 495–498 nm in agreement with the recent observation of laser action on the atomic transition at 1315 nm following photolysis of I₂ using a dye laser. The present experiments permitted deconvolution of the I₂ continuous absorption spectrum below 498 into contributions from the B³ Π_o,u → X ¹Σ_g⁺ and ¹Π_tu → X¹σ_g^? transitions.     

Einflu? des Reaktionsmediums auf die Kinetik und den Mechanismus der kationischen Polymerisation und Copolymerisation der cyclischen ?ther

Ohne Zusammenfassung