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Carbon segregation is known to have an extreme influence on the cohesive energies and mechanical properties of grain boundaries (GBs) in steel. In this paper, stability a series ?-Fe?110? symmetrical tilt (STGBs) with C was systematically investigated based first-principles calculations. We used newly-developed Tersoff/ZBL potential Fe–C interaction constructed from forces disolution various de...

A dilation equation is a functional equation of the form f(t) = ∑N k=0 ck f(2t − k), and any nonzero solution of such an equation is called a scaling function. Dilation equations play an important role in several fields, including interpolating subdivision schemes and wavelet theory. This paper obtains sharp bounds for the Hölder exponent of continuity of any continuous, compactly supported sca...

Silicon carbide (SiC) is a competitive candidate material to be used in several advanced and Generation-IV nuclear reactor designs as neutron moderator, fuel coating, cladding, or core structural material. Many studies have been performed investigate the durability of SiC severe environment reactor. However, nature behavior defect induced by irradiation are still not fully understood. This pape...

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Pollard’s Monte Carlo factorization algorithm usually finds a factor of a composite integer N in O(N1/4) arithmetic operations. The algorithm is based on a cycle-finding algorithm of Floyd. We describe a cycle-finding algorithm which is about 36 percent faster than Floyd’s (on the average), and apply it to give a Monte Carlo factorization algorithm which is similar to Pollard’s but about 24 per...

The present paper deals with some fixed point theorems for a class of mixed typeof contraction maps possessing the asymptotically regular property in a 2-Banach space.Full text References[1] M.Açıkgöz, A review on 2-normed structures, Int. Journal of Math. Analysis,1(2007), no.4, 187 191. MR2340939 (2008e:46012) Zbl 1132.46304.[2] Y.J.Cho, M.S.Khan and S.L.Sing, Common fixed...

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An algorithm is presented for finding a zero of a function which changes sign in a given interval. The algorithm combines linear interpolation and inverse quadratic interpolation with bisection. Convergence is usually superlinear, and is never much slower than for bisection. ALGOL 60 procedures are given. CommentsOnly the Abstract is given here. The full paper appeared as [1]. For similar m...