2,021,687 research outputs found

    1993-1994 T. R. Pearson

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    T. R. Pearson, a.k.a. Rick Gavin, was born in Winston-Salem, North Carolina. He was a student at North Carolina State University, where he gained a B.A. and M.A. in English. He was the first recipient of the John and Renée Grisham Writer in Residence Fellowship. He is the acclaimed author of fourteen novels, including A Short History of a Small Place and Warwolf, and a dozen screenplays. Top of the Rock is his fifth nonfiction book. He lives in Virginia and Brooklyn, New York. (Photo credit: Marian Young)https://egrove.olemiss.edu/grisham_res/1026/thumbnail.jp

    "Closing the R&D Gap, Evaluating the Sources of R&D Spending"

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    Both spending and tax policies have been implemented in the United States with the goal of stimulating private sector research and development (R&D). Karier questions whether current R&D policy, especially the research and experimentation tax credit, can contribute to closing the gap between nondefense expenditures on R&D in the United States and such expenditures in other countries, such as Japan and Germany. He also explores possible changes to our current R&D policy to make it more effective.

    Letter from J. R. Eakin to Carl Hayden

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    Letter from J. R. Eakin to Carl T. Hayden concerning access to Rowe Well and the canyon

    Letter from J. R. Eakin to Stephen Mather

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    Letter from J. R. Eakin to Stephen T. Mather about expenses and reconstruction of the Kaibab Trail

    Letter from Carl Hayden to J. R. Eakin

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    Letter from Carl T. Hayden to J. R. Eakin regarding changes to the Grand Canyon National Park boundaries and the purchase of lands from William Randolph Hearst

    Letter from F. R. Goodman to Carl Hayden

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    Letter from F. R. Goodman to Carl T. Hayden asking for clarification about the agreement to construct an approach road to the par

    Letter from Carl Hayden to F. R. Goodman

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    Letter from Carl T. Hayden to F. R. Goodman concerning the purchase of Bright Angel Trail and construction of an approach road to the park

    R-boundedness of smooth operator-valued functions

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    In this paper we study RR-boundedness of operator families \mathcal{T}\subset \calL(X,Y), where XX and YY are Banach spaces. Under cotype and type assumptions on XX and YY we give sufficient conditions for RR-boundedness. In the first part we show that certain integral operator are RR-bounded. This will be used to obtain RR-boundedness in the case that T\mathcal{T} is the range of an operator-valued function T:\R^d\to \calL(X,Y) which is in a certain Besov space B^{d/r}_{r,1}(\R^d;\calL(X,Y)). The results will be applied to obtain RR-boundedness of semigroups and evolution families, and to obtain sufficient conditions for existence of solutions for stochastic Cauchy problems.Electrical Engineering, Mathematics and Computer Scienc

    f(R,T)=f(R)+λTf(R,T)=f(R)+\lambda T f(R,T)=f(R)+λT gravity models as alternatives to cosmic acceleration

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    Abstract This article presents cosmological models that arise in a subclass of f(R,T)=f(R)+f(T)f(R,T)=f(R)+f(T) f(R,T)=f(R)+f(T) gravity models, with different f(R) functions and fixed T-dependence. That is, the gravitational lagrangian is considered as f(R,T)=f(R)+λTf(R,T)=f(R)+\lambda T f(R,T)=f(R)+λT , with constant λ\lambda λ . Here R and T represent the Ricci scalar and trace of the stress-energy tensor, respectively. The modified gravitational field equations are obtained through the metric formalism for the Friedmann–Lemaître–Robertson–Walker metric with signature (+,,,)(+,-,-,-) (+,-,-,-) . We work with f(R)=R+αR2μ4Rf(R)=R+\alpha R^2-\frac{\mu ^4}{R} f(R)=R+αR2-μ4R , f(R)=R+kln(γR)f(R)=R+k\ln (\gamma R) f(R)=R+kln(γR) and f(R)=R+me[nR]f(R)=R+me^{[-nR]} f(R)=R+me[-nR] , with α,μ,k,γ,m\alpha , \mu , k, \gamma , m α,μ,k,γ,m and n all free parameters, which lead to three different cosmological models for our Universe. For the choice of λ=0\lambda =0 λ=0 , this reduces to widely discussed f(R) gravity models. This manuscript clearly describes the effects of adding the trace of the energy-momentum tensor in the f(R) lagrangian. The exact solution of the modified field equations are obtained under the hybrid expansion law. Also we present the Om diagnostic analysis for the discussed models
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