trace of tensor invariant
Báo cáo khoa học: Replacement of two invariant serine residues in chorismate synthase provides evidence that a proton relay system is essential for intermediate formation and catalytic activity docx
... an invariant aspartate residue (Asp367) operates in con-cert with N(5) of the cofactor to bring about theabstraction of the C(6proR) hydrogen of the substrate[13]. In addition to these invariant ... alignments of chorismate synthas-es from bacterial, fungal, plant and protozoan origin, of the crystal structure of the enzyme with boundEPSP and of the flavin cofactor, revealed two invariant serine ... additions of the same volume of anFMN solution to the enzyme solution of the sample cuvetteand to the buffer compartment of the reference cuvette. Tocompensate for the dilution of the enzyme...
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Báo cáo khoa học: Investigating the role of the invariant carboxylate residues E552 and E1197 in the catalytic activity of Abcb1a (mouse Mdr3) docx
... and visibly only in the presence of drugs (± Vi). These results are reminiscent of previousstudies of double-mutants of the IC in human andFig. 3. Photolabeling of Abcb1a NBDmutants by vanadate ... structurallyrelated to phosphate (Pi) [44]. Trapping of nucleotideby Vi requires both hydrolysis of the bond between theb- and c-phosphates of ATP and release of Pi. Vi canreplace Pionce it is released, ... previousstudies of catalytic residue mutants of the Walker Aand Walker B motifs and of the ICs (K429R, K1072R,D551N, D1196N, E552Q and E1197Q), which severelyaffect the catalytic activity of mouse...
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Đề tài " Unique decomposition of tensor products of irreducible representations of simple algebraic groups " pot
... coefficients of the topmost degree, weget,Sλ1 Sλn= Sµ1 Sµn. TENSOR PRODUCTS OF IRREDUCIBLE REPRESENTATIONS701Proof. The proof proceeds by induction on the cardinality of S. Considerequation ... characterisation of the generalized PRV-componentinside the tensor product. It is not clear that a generalized PRV-component of one side of the tensor product, is also a PRV-component for the other tensor product. ... some integers αi. TENSOR PRODUCTS OF IRREDUCIBLE REPRESENTATIONS703 of K. Given ρ, let χρdenote the character of ρ. For each finite place v of K,we choose a place ¯v of ¯K dividing v, and...
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Embodiment of Trace Theory in Teaching Verb Tenses
... school.Most of the students in the experimental group responded that TVTA is interesting. To most of them, TVTA was very helpful to grasp the basic concepts of verb tenses. However, some of them ... of the speaker to the space in front of the speaker indicates the future perfect.The idea of physical motion’s advantage on the language learning ability is very closely related with TRACE ... tense difficult? Verb tense is one of the most difficult grammar parts in mastering English since it is concerned with invisible concept of ‘time’. Each of verb tenses are taught separately...
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Tài liệu Đề tài " Logarithmic singularity of the Szeg¨o kernel and a global invariant of strictly pseudoconvex domains " docx
... integral of the coefficient of the logarithmic sin-gularity of the Szeg¨o kernel gives a biholomorphic invariant of a domain Ω, ora CR invariant of the boundary ∂Ω, and moreover that the invariant ... theorem, hestated the real analyticity of the coefficients of the asymptotic expansion of the Bergman kernel, though the proof was not published. Now a proof of thistheorem and claim, based on Kashiwara’s ... fiberintegral of Bdv and the Bergman kernel of H0(M,E⊗m); this is a localization of (1.3).I am very grateful to the referee for simplifying the proof of Proposition 3.LOGARITHMIC SINGULARITY OF THE...
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Báo cáo "A NEW NUMERICAL INVARIANT OF ARTINIAN MODULES OVER NOETHERIAN LOCAL RINGS " pptx
... numerical invariant of Artinian Modules over 39The p roof is then complete.The above theorem means that the least degree of all polynomials bounding fromabove I(x(n); A) is a numerical invariant of ... but the least degree of all upper-bound polynomialsfor the function is a numerical invariant of A. A characterization for co Cohen-Macaulaymodules in term of this new invariant is also given.Keywords: ... uel m ultiplicity of Noetherian B with respect to x. Denoteby n the maximal ideal of the local ring B and E theinjectivehullofB/n. Set B∨:=HomR(B; E), the Matlis dual of B. Then, B∨is...
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Đề tài " A stable trace formula III. Proof of the main theorems" pptx
... Section 10 of [I].We refer the reader to the introduction of [I] for a general discussion of the problem of stabilization. The introduction of [II] contains further discus-sion of the trace formula, ... established a key reduction in the proof of one of theglobal theorems. In this paper, we shall complete the proof of the theorems.We shall combine the global reduction of [II] with the expansions that ... that of [A7] and[A10].)The trace formula applies to the case of a global field, and to a finite set of valuations V of F that contains Vram(G, ζ). We recall that Vram(G, ζ) denotesthe set of...
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Đề tài " On a class of type II1 factors with Betti numbers invariants " pdf
... in N,B ([ILP]).Proof. (i) and (ii) are trivial consequences of 1.4.1 and of the definitions.The first part of (iii) is trivial by (i), (ii). Thus, ePis the supremum of allprojections p ∈ ... same proof as in [Cho] shows that if G ⊂ G0is an inclusion of discrete groups with the property that there exists a net of positive definiteBETTI NUMBERS INVARIANTS811Our main example of a factor ... recentresult of Valette ([Va]). In each of these cases, the Betti numbers have beencalculated in [B]. Yet another example is offered by the action of SL(2, Q)onQ2: Indeed, the rigidity of the action of...
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Báo cáo khoa học: "On the formalization of Invariant Mappings for Metaphor Interpretation" pot
... means of depriving him of a necessity (food)which means that being deprived causes Connors’sdefeat. This fits well with the interpretation of (1)where McEnroe’s playing deprived Connors of hisusual ... theimportance of relations between text segments indiscourse interpretation. In fact, the incorporation of the above types of information ties in well withthe SDRT (Asher and Lascarides, 2003) view of language ... thesystematicity of mapping invariantly certain aspects of metaphorical utterances by formulating them asrelations between events that can be represented as111relations and properties of DRSs. For...
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Analysis of the atmospheric distribution, sources, and sinks of oxygenated volatile organic chemicals based on measurements over the Pacific during TRACE-P pdf
... differences. Mixingratios of OVOC were strongly correlated with each other as well as with tracers of fossiland biomass/biofuel combustion. Analysis of the relative enhancement of selectedOVOC with ... twicethat of nonmethane hydrocarbons (SC2-C8NMHC). Throughout the troposphere, theOH reactivity of OVOC is comparable to that of methane and far exceeds that of NMHC. A comparison of these ... touse it as a tracer of biomass combustion in discreetplumes downwind of terrestrial sources. Tetrachloroethylene(C2Cl4), a synthetic organic chemical, was mainly used as atracer of urban pollution....
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Đề tài "Invariant measures and the set of exceptions to Littlewood’s conjecture " doc
... farthere is no proof known of this result in its entirety which avoids the use of dynamics of homogeneous actions.An important property of the acting group H in the case of the OppenheimConjecture ... view of (5.2) it is clear that ˜γ and hence g−1˜γg ∈ Γ satisfy all theconditions of Theorem 5.1.6. Conclusion of the proof of Theorem 1.3In this section, we conclude the derivation of Theorem ... A-ergodic and invariant probability measure on X. For every pair a, b of distinct indices in {1, ,k},one of the three possibilities of Theorem 2.1 holds. However, in view of theresults of the previous...
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Đề tài " Prescribing symmetric functions of the eigenvalues of the Ricci tensor " pdf
... thatMnv−2pdvolg≤ C.(3.14)Proof. This is Lemma 4.3 of [CGY02b] (see also Lemma 4.1 of [Gur93]).This completes the proof of Proposition 3.3.Remark.Ifu ∈ C2is a Γ-admissible solution of (1.13), then by ... bound:maxMnwi≤ C.The next result summarizes the properties of the limit w = limiwi.Recall from the proof of Theorem 3.5 the definition of the tensor: Sg=Ric − 2δσ1(Ag)g. We let Swdenote ... ωnis the volume ratio of Euclideanspace.Proof. The proof is based on a construction of the geometric tangent conecorresponding to the end N1, as follows. Take any sequence of numbers risuchthat...
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Trace Element Analysis of Food and Diet pot
... Discovery of Essential Trace ElementsThe study of the discovery of essential trace elements has been outlined by Schrauzer.6The treatment of anaemia with iron and the association of iodine ... values of a set of data. It is a good indication of scattering, and is very useful for rough com-parisons of different sets of data. It is not a good measure of deviation or distribu-tion of data ... the activity of many enzymes and a number of trace elements control the contraction of muscle and the transmission of impulses bynerve cells. Table 1.3 lists the macrominerals and trace elements...
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DETERMINATION OF TRACE ELEMENTS BOUND TO SOIL AND SEDIMENT FRACTIONS
... Redistribution of Pb andCu in the presence of humic acid was demonstrated. The selectivity of the reagents was insufficient towarrant interpretation of results in terms of a specific origin of a metal ... implications (e.g., duringdredging operations) of land disposal of waste material, of acid precipitation, of redox changes in sub-soil, and of ingestion of polluted urban dust, can be qualitatively ... hampered a good comparability of data,was the lack of suitable reference materials that precluded control of the quality of the measurements.Thus, standardization of leaching and extraction schemes...
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Estimation method for contribution of emission to trace metal concentrations in urban atmosphere based o
... ResultsBackgroundClarification of the contribution of emission sources to trace metal concentrations in the atmosphere is useful for an accurateevaluation of the environmental impacts of trace metals to efficiently ... (emission of lead through the use of leaded gasoline and thecombustion of coal, etc.)Future DevelopmentsTo investigate the applicability of the new estimation method in areas along the Sea of Japan ... comparing the trace metal/lead ratios (concentration ratios) in dust fromrefuse incineration plants and the atmosphere.3. Proposal of Estimation Method for Contribution of Emission Sources to Trace...
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Biogeochemistry of trace metals
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