We apply the standard approach of RG flow for the gauge couplings in N=1 D=4 Supergravity to show how to match its results with the heterotic Z3 orbifold and Type IIB Z3 orientifold-based models. Using only supergravity, anomaly cancellation and the requirement of unification we determine the part of the Kähler potential of the model invariant under the symmetries of the model. For heterotic or...

to doing this research daily interpolated temperature data from asfezari data base have been used. in order to recognition extreme cold days, the normalized temperature deviation index (ntdi) applied. then the index sorted according to extensive and severity and first 500 days selected for analysis. the geopotential height data extracted from www.esrl.noaa.gov data base. the thickness anomaly c...

gabal el-zeit block at the western coast of the gulf of suez region in egypt consists of two varieties of precambrian granites, namely monzogranite and a peripheral zone of alkali granite. both granitic varieties display moderate (60.1-68.5 wt%) and high silica (73.36-76.16 wt%) contents with high na2o+k2o (7.21-8.61 wt%), respectively. the investigated monzogranite is calc-alkaline metaluminou...

ti-mcm-41 was synthesized at ph 3, 7 and 11. the titanium content was determined by aas and found to be 4%, 3.2% and 4.5%, respectively. in order to increase the titanium content in ti-mcm-41, ti(iv) ions were grafted onto ti-mcm-41 using ticl4 in toluene and ti(obu)4 in ethanol. the incorporation of ti was determined to be 28% and 30%, respectively. the oxidation of olefins such as cyclopenten...

Some loose ends in Shadrin’s remarkable paper are tied up. Shadrin’s theorem [S] settles a problem posed first in [B73] in the following setting. For k ∈ N, let t := (ti : i ∈ Z) be nondecreasing with ti < ti+k, all i, and set a := inf i ti, sup i ti =: b. For each i, let Nik(x) := (ti+k − ti)∆(ti, . . . , ti+k)(x− ·) k−1 + = (∆(ti+1, . . . , ti+k)− ∆(ti, . . . , ti+k−1))(x − ·) k−1 + be the it...

Titanium (Ti) has been used for long in dentistry and medicine for implant purpose. During the years, not only the commercially pure Ti but also some alloys such as binary and tertiary Ti alloys were used. The aim of this review is to describe and compare the current literature on binary Ti alloys, including Ti-Zr, Ti-In, Ti-Ag, Ti-Cu, Ti-Au, Ti-Pd, Ti-Nb, Ti-Mn, Ti-Mo, Ti-Cr, Ti-Co, Ti-Sn, Ti-...