... of time before the final prosthesis is implanted [17,20,30,33,34] The function ofthe spacer is on the one hand to release the antibiotic into the infected bed ofthe prosthesis and on the other ... re-implantation The disadvantage ofthe cemented revision technique is related to the fact that the osseous bed ofthe prosthesis has not only been enlarged by the loosening ofthe primary prosthesis ... debridement The cement ofthe spacer is not intended as a means of fixing the prosthesis so the mechanical characteristics ofthe cement is not of primary importance at this stage Thus, large amounts of...
... the geodesic flow on the unit tangent bundle ofthe flat torus T2 420 JENS MARKLOF 1.3 The asymptotic density ofthe sequence of λj is π, according to the well known formula for the number of lattice ... is the Haar measure of Gk This theorem is a special case of Shah’s more general Theorem 1.4 in [27] on the equidistribution of translates of unipotent orbits Because ofthe simple structure of ... simple structure ofthe Lie groups studied here, the proof of Theorem 5.7 is less involved than in the general context 5.8 Before we begin with the proof of Theorem 5.7, we consider the special test...
... determinantal formulae for the multidegrees of ladder determinantal rings The proofs ofthe main theorems introduce the technique of “Bruhat induction”, consisting of a collection of geometric, algebraic, ... which by de nition equals the length ofthe largest finite-length submodule in the localization of Γ at the prime ideal of X The support of Γ consists of those points at which the localization of Γ ... can then conclude the multidegree statement in Theorem A Since this part of Theorem A is essential to proving the other main theorems from Part 1, what we actually is give an independent proof of...
... I } is a sectional cover ofthe group G, then the degrees of S are the degrees ofthe various quotients Qi = Gi /Ni For g ∈ G, the degrees of g in S are the degrees degQi gNi , for those i ∈ ... GROUPS OF FINITARY LINEAR TRANSFORMATIONS 447 The original proofs ofthe BBHST Theorem 1.2 appealed to CFSG, but the theorem of Larsen and Pink [26] now renders the BBHST theorem independent of CFSG ... to isolate this section since its Theorem 5.1 of Jordan type constitutes the weak version ofthe classification of finite simple groups that we use in proving Theorem 1.1 The proof ofthe theorem...
... integrity ofthe vascular bed ofthe penis; (b) the endothelium lining the cavernosal arteries and the helicine arterioles, as well as the endothelium lining the lacunar spaces ofthe corpus ... flow to the corpus cavernosum The increased blood flow stimulates the endothelium lining the lacunar spaces ofthe corpus cavernosum to release endothelial NO from the endothelium NO synthase These ... in addition to the age ofthe cohort being studied, has influenced the strength ofthe correlation between ED and obesity The International Index of Erectile Function (IIEF) provides an important...
... integer depends only on the homotopy class [u] ofthe chosen disc map keeping the boundaries fixed If, as in our study later on, M = S , the index is independent of all choices and will be denoted ... Finally, we de ne the index ofthe embedded finite energy sphere F by Ind(F ) := µ(F ) − χ(S ) + F, (1.11) where F = Γ is the number ofthe punctures and χ(S ) = is the Euler characteristic ofthe two-sphere ... through a dense set of points (0, mk ) ∈ M which are in the complement ofthe periodic orbits ofthe Reeb vector field on M The leaves are embedded and either identical or disjoint The limit...
... Pascal Thomas devised an elegant function theoretic proof of Theorem 1.19 We include his proof in an appendix at the end ofthe paper 295 HOLOMORPHIC FUNCTIONS The equivalence ofthe von Neumann ... commence the proof of Theorem 1.20 from the introduction Accordingly, fix a nonempty relatively polynomially convex subset V of D2 If V has one ofthe forms (i)–(iv) of Theorem 1.20 then V is ... disk of type This completes the proof of Lemma 5.17 In light of Lemma 5.17 the proof of Theorem 1.20 will be complete once we have established our final lemma Lemma 5.20 If V satisfies the hypotheses...
... uniquely determines the solution The conditions for predictability are then related to the behavior ofthe unique solution ofthe initial value problem on the boundary of this region In the following ... will require a combination of a lot of bootstrapping, with careful a priori understanding ofthe geometry ofthe region Step will require bounds independent ofthe size ofthe data We will see that ... which there is a well -de ned notion of maximal domain of development In the class of solutions considered here for the equations of this paper, such a notion was de ned in Section For another de nite...
... the action of SL(2, Q) on Q2 : Indeed, the rigidity ofthe action of SL(2, Z) (regarded as a subgroup of SL(2, Q)) on Z2 (regarded as a subgroup of Q2 ), as well as the property H of SL(2, Q) ... dimensions” ofthe irreducible M -bimodules Hk in the Jones tower or, equivalently, as the square roots ofthe indices ofthe corresponding irreducible inclusions of factors, M ⊂ M (Hk ) They give ... maps; then we recall the basic construction of an inclusion of finite von Neumann algebras and study their compact ideal space; we also recall thede nitions of normalizer and quasinormalizer of...
... account for the buoyancy forces and stratification effects under the Boussinesq approximation Moreover, and due to the shallowness ofthe oceans and the atmosphere, i.e., the depth ofthe fluid layer ... if T∗ < ∞ then the H norm ofthe strong solution is bounded over the interval [0, T∗ ) This key observation plays a major role in the proof of global regularity of strong solutions to the system ... to the radius ofthe earth, the vertical large scale motion in the oceans and the atmosphere is much smaller than the horizontal one, which in turn leads to modeling the vertical motion by the...
... from both party of cials and the artistic subculture is crucial for understanding the meaning of this event The article’s mimicry ofthe form ofthe hypernormalized language ofthe party introduced ... satire in the West, then the pressing question is, of course, why? In this final section ofthe essay, we offer a brief analysis of two sets of conditions under which political discourse in the late- liberal ... make of them What made this particular disruption possible was precisely the artists’ performance ofthe hypernormalized imagery and rhetoric ofthe state—not the more common dissident strategy of...
... components ofthe AMPK pathway were present in these cell lines FEBS Journal 272 (2005) 109–119 ª 2004 FEBS Role ofthe intracellular tyrosine residues in LEPRb To determine the role ofthe three ... activation of STAT1, STAT3 and STAT5 stimulated us to characterize the structural determinants required for binding of each of these proteins Four point mutations targeting the residues C-terminal of ... Consistent with the established consensus sequence for binding of STAT3, mutation of Gln1141 abolished leptin-induced phosphorylation of STAT3 and decreased the activation ofthe a2M-derived promoter...
... which is capable of both the NADPH-dependent reduction of elemental sulfur and the NADP+-dependent oxidation of ferredoxin [22] A unique NADPH-dependent alcohol dehydrogenase with wide substrate ... isoalloxazine ring with the C4 position ofthe nicotina˚ mide ring located 3.49 A from N5 ofthe isoalloxazine ˚ ring The active site cysteine thiolate is 3.48 A from N5 on the si-side ofthe flavin, which ... In order to determine the extinction coefficient ofthe enzyme-bound FAD, the FAD was released from the holoenzyme by trichloroacetic acid (TCA) precipitation ofthe protein The e460 ofthe enzyme-bound...
... the single-letter code The PDI peptide side ofthe disul de bond is named R1, and the bacitracin side R2 (C) MALDI-TOF MS spectrum of peptides generated by tryptic digestion ofthe PDI–bacitracin ... (871.36), the sulfur–sulfur bond (905.36) and the sulfur–carbon bond ofthe open thiazoline ring of bacitracin A (937.33) Negative ion mode CID-TOF ⁄ TOF MS analysis ofthe same precursor yielded the ... proportion of fragments in the ion source The combination of in-source decay ofthe precursor m ⁄ z 2343.09 with CID on the in-source fragment m ⁄ z 937.22 in positive ion mode confirmed the location of...
... consequence ofthe decomposition (1.2) is that the tranformation ofthe Riemannian curvature tensor under conformal deformations of metric is completely determined by the transformation ofthe symmetric ... for this reason we will only provide an outline ofthe degree theory argument, and refer the reader to Section of [GV04] for many ofthe details To begin, de ne the operator 1/k Ψt [u] = σk (2.3) ... adapt the construction above in order to de ne the Leray-Schauder degree of solutions to (2.7) The analog of Theorem 2.1 is proved in a similar fashion using the local estimates of S Chen (Theorem...
... depositional rate of mm/yr, higher than the rate of deposition ofthe prodelta facies The topographies rapidly settled at -5.5 m at the end ofthe delta front The delta front silty sand facies, around ... saw-tooth depends on the arrangement ofthe soil layers and the mixed levels of sand, silt and clay soils If the thickness ofthe cohesionless or cohesive soil layer is large, the fluctuation ... most clearly in the delta front with the coarse sand The delta front facies is particularly attractive and can be considered one ofthe unique characteristics ofthe MR1 core The sediments are...
... r = ∞ The purpose of this section is to conclude the proof ofthe main theorem (Theorem 7.1 below) by combining the results ofthe previous sections 7.1 Theorem Let r be in N ∪ {∞} Then there ... Geman’s result [Ge] In the remainder of this introduction, we sketch the main steps in the proof of Theorem A Throughout the paper, we denote by Asa the real vector space of self-adjoint elements ... via the isomorphism Ψ Note that under this identification, the norm · e on Er,n corresponds to the usual Euclidean norm on Rrn In other words, Ψ is an isometry (n) (n) Consider next independent...
... different proof of hypoellipticity ofthe operators discussed here and in [Ch2] Proof of Theorem A The proof of Theorem A proceeds in the same way as given above in the outline of H¨rmander’s theorem ... neighborhood ofthe support of γ + and equals zero in ˜ a neighborhood ofthe origin The expression in braces is the symbol of an operator of order zero uniformly in δ Conclusion of proof of Theorem ... Conclusion ofthe proof of Theorem B In this section we conclude the proof of Theorem B by showing that if k ≥ then Ek loses at least k − derivatives in the Sobolev norms Proposition Suppose that there...
... expand the collection of functions under consideration to include those for which d(f, Z) ε The reader may care to recall thede nitions of d(f, Z) and of fZ at this point: they are given at the ... equivalent to the lower bound on the size of S ∧ S that we claimed We move on now to one ofthe more technical aspects ofthe theory of Bourgain systems, the notion of regularity De nition 4.11 ... symmetric set of K “dissociated” points We now proceed to develop the basic theory of Bourgain systems For the most part this parallels the theory of Bohr sets as given in several ofthe papers...
... constituents ofthe total fossil fauna ofthe New Zealand Late Jurassic, they nonetheless exhibit the main features ofthe biological changes that are probably related to sea level fluctuations The eustatic ... Orogeny, the quality ofthe overall match with the world-wide eustatic fluctuations is reasonably good The stratigraphic imprint ofthe eustatic fluctuations appears to continue into the lower part ofthe ... Conglomerate Another low in sea level in the later half ofthe Early Kimmeridgian (Marques et al 1991) is probably reflected by development ofthe Kiwi Sandstone The extensive siltstone sequences ofthe Puti...