... consider the conditions of continuity ofthesolution and ofthe fluxes at interelement boundaries, conditions (B.6), as constraints on the true solution Had we used Lagrange multipliers to enforce these ... make the following observations concerning it: If = #(x) is the exact solutionof Eqs (B 1) and (B.2), then it is also the (one and only) solutionof Eq (B.3); i.e Eqs (B 1) and (B.2) imply the ... changed without affecting the equivalence of Eq (B.3) and Eqs (B.l) and (B.2), but the particular choice of signs indicated turns out to be crucial to the stability ofthe discontinuous Galerkin...
... particular the construction ofthe commutants, are very similar to those arising in the proof ofthe propagation of singularities in N -body scattering in previous works ofthe author – thewaveequation ... this proof The novelty is thus the use ofthe Dirichlet form (hence the H -based wave front set) for the proof of both the elliptic and hyperbolic/glancing estimates, and the systematic use of positive ... from thewave front set of a solution provided that, in a neighborhood of q0 , one side of Σ is absent from thewave front set – with further restrictions on the hypersurface in the presence of...
... 1.3 Section shows that operator T satisfies the hypothesis ofthe Banach fixed point theorem and thus the sequence {T m z0 }m∈N converges to thesolution z of 1.1 for any z0 ∈ C 0, However, such ... Approximating theSolution We now turn to the main purpose of this paper, that is, to approximate the unique fixed point ofthe nonlinear operator T : C 0, → C 0, given by 1.3 , with the adequate ... dv εk , and therefore, T zk−1 − zk ≤ εk 3.8 as announced The next result is used in order to establish the fact that the sequence defined in Theorem 3.1 approximates thesolutionofthe nonlinear...
... “Blow-up of solutions of nonlinear wave equations in three space dimensions,” Manuscripta Mathematica, vol 28, no 1–3, pp 235–268, 1979 [6] S G Georgiev, “Blow up ofthe solutions of nonlinear waveequation ... nontrivial solution in the set M Let u be thesolution from Theorem 3.1, that is, u is a solution to the integral equation (1 ) From Proposition 2.2, we have that u satisfies (1) Consequently, u is solution ... Consequently, the operator R : M → M is contractive operator We note that the set M is closed subset ofthe space Ꮿ((0,1]L2 ([0, ∞))) (for the proof see Lemma A.1 in the appendix of this paper) Therefore...
... to compute thesolutionofthe Riccati equation (and is therefore cheaper than the QZ algorithm which requires about 422n3 arithmetic operations) The cost ofthe different steps ofthe approach ... subscripts for each approach.) The third idea is to compute the desired solution via the unique solution X∗ ofthe DARE Thesolution X∗ can be found by direct application of Newton’s method for DAREs ... compute the approximate solution very fast, but due to the back transformation step, the accuracy ofthe SDA algorithm can deteriorate significantly On the other hand, the fixed-point iteration is often...
... (1974) As thewave number ka increases Thewave forces on the cylinders oscillate around thewave forces on an isolated cylinder As the cylinder spacing increases, thewave force on the cylinders ... outward On the sheltered side ofthe cylinder there will be a “shadow” zone where thewave fronts are bent around the cylinder, the so-called diffracted waves Khi sóng tới (incident wave) tác ... interaction ofthe cylinders, the run-up profiles ofthe cylinders are quite different from that of an isolated cylinder This numerical computation method will be used broadly for analysis of offshore...
... from the antenna to the object) When the antenna closer to the object than the time that the waves propagate from the transmitting antenna to the object and decreasing the time ofthewave at the ... studies of electromagnetic wave propagation in the ground, especially the reflected waves generated from the surface ofthe object boundary in the geological environment With the hazards in the dike, ... denoted by j = 1,2,3, , M Left side and the right edge ofthe road network is denoted by i = and i = N Bottom edges ofthe mesh are denoted by j = M The primary source of cause, as well as the secondary...
... 1/Figure Synthesis ofthe PNA building block backbone In the next step, the synthesis ofthe PNA backbone monomer using the fluorenylmethoxycarbonyl (Fmoc) protection occurred as described by Atherton ... Synthesis ofthe 4-pentenoic acid PNA building block The synthesis ofthe PNA building block functionalized with the 4-pentenoic acid is shown as an example for a myriad of applications The synthesis ... Sheppard.[40] Synthesis ofthe Fmoc-C2-glycine-tert-butyl ester The synthesis ofthe peptide nucleic acid backbone requires the introduction of protecting groups as shown in the Fmoc-C2-glycine-tert-butyl...
... such that these two points are on the initial linear portion ofthemethods are similarly affected bythe factors that d t − t curve This is the same basis utilized bythe influence the initial ... − t1 (7) Equation shows that the c v value is dependent on both the value ofthe slope m as well as that ofthe end of primary settlement δ p Equation shows also that the coefficient of consolidation ... conforming to the Terzaghi theory On the other hand, when these methods predicted different values for the EOP δ p , the c v values estimated from these methods were observed to be different Equation...
... ofthe ideological meanings ofthe discourse will help them understand more comprehensively the political discourses Scope ofthe study The linguistic features ofthe inaugural address made by ... notable ofthe Marked Theme, however, is the appearance of some Marked Theme designed to enhance the significance ofthe ideals of freedom: In America’s ideals of freedom (2 times) From the perspective ... say Mr Bush is the addresser with absolute power: as the Head ofthe State and as the Commander -in -Chief ofthe Army His authority is unlimited over the nation The audience ofthe speech; meanwhile,...
... in the reactive centre loop (RCL) ofthe serpin [5] The catalysis ofthe peptide bond cleavage appears to be arrested at the acyl intermediate bythe unique action ofthe serpin, whereby the ... the RCL ofthe serpin inserts into the major A b-sheet causing the protease to be rapidly translocated from the top to the bottom ofthe inhibitor [6] In the process, the structure ofthe protease ... polymers of serpins, where the insertion of another molecule’s RCL takes place [8] Both of these result in the irreversible inactivation (generally) ofthe serpins, and, in the case ofthe anticoagulant...
... through the same GA motif Sp1 and Sp3 bound to the same cis-element in the promoter ofthe gene for Dnmt1 Therefore, we next examined whether activation by Sp1 or by Sp3 affect expression ofthe ... Characterization ofthe promoter ofthe mouse Dnmt1 gene (A) Transcriptional activity ofthe mouse Dnmt1 promoter in NIH3T3 cells The top diagram shows the mouse Dnmt1 gene and the lower diagram shows the ... Conversely, the addition of GST–Sp3 resulted in a similar reduction in the binding of Sp1 to the GA motif (data not shown) These results imply that the binding of Sp1 and of Sp3 to the GA motif...
... promote the conservation ofthe world’s oceans through international legislation, such as the establishment ofthe 1972 Convention on the Prevention of Marine Pollution by Dumping Wastes and Other ... species of fish off the British coast were found to contain plastic cups within their guts that would eventually lead to their death (Anon, 1975) In the Bristol Channel in the summer of 1973, 21% ofthe ... 1986) They will approach objects in the water and often poke their heads into loops and holes (Fowler, 1987; Laist, 1987) Though the plastic loops can easily slip onto their necks, the lie of the...
... indicates the elution positions of molecular mass markers are shown above the panels The profiles ofthe three proteins overlap over a region that coincides with the expected molecular mass ofthe ternary ... recombinant proteins The 3D arrangement ofthe binding sites for TIPRL and a4 on the surface of PP2Ac shows that they are in close proximity, but not overlapping, which allows the assembly ofthe TIPRL:PP2Ac:a4 ... represented by a black bar for comparison Numbers on the left ofthe gray bars indicate the first amino acid in the respective activation domain-phosphatase catalytic subunit fusion The PP2Ac isoforms...
... ẵGSHị 1ị The numerator of Eqn (1) is represented bythe product ofthe maximum velocity (Vmax) and the concentrations of substrates, and the denominator bythe function ofthe concentrations of substrates ... and uni-uni-bi-uni-ping-pong [23] By replotting the slopes and the intercepts with the y-axis ofthe lines in Fig against the reciprocals ofthe concentrations ofthe substrates (Fig 2, insets a–d), ... represented bythe linear function ofthe reciprocals ofthe concentrations of DHA Therefore, it appears that the reaction catalyzed by DHAR proceeds via a bi-uni-uni-uni-ping-pong mechanism and that the...
... Since the structures of EPSs, including their conformation, are the main factors influencing their physical properties [27], the presence of Sug in the backbone ofthe EPS produced by S thermophilus ... constituent ofthe repeating unit of an EPS produced by a Gram-positive lactic acid bacterium Due to the novel composition ofthe EPS produced by S thermophilus 8S, the genetics and biochemistry ofthe ... have consequences for the physical properties ofthe EPS Furthermore, the ability ofthe EPS to form a lactone in the repeating unit might alter the physical properties ofthe EPS in response to...
... withers and the burning sun sucks the last ofthe moisture out ofthe soil Debate rages in Australia about whether this drought is so severe because of climate change or if it is just part ofthe ... variety of threats “California and Australia are hit by frequent forest fires, which also affect southern Europe in the summer In northern Europe there’s the problem of extreme weather, like the storms ... markets can change their view ofthe dangers of smoking tobacco faster than expected,” they say Among the newcomers since the 1990s is Finland’s Nokia, which surfed in on the IT wave and has maintained...
... is the set of terminal symbols in the simplified parser r = the set of stack symbols [X.P], where XeN is a non-terminal symbol ofthe parser and P is a set of packets Q = the set of states ofthe ... into the buffer, rather than being left on the stack Furthermore, let P denote the set of all packets of rules, and 2/' the powerset of P, and let P.P~,P2.- be elements of 2/' When a set of packets ... P is active, the pattern segments ofthe rules in these packets are compared with the current active node and contents ofthe viruml buffer (the window) Then the action segment of a rule with...
... performing other such chores, those people have allowedhim to be free to think about large-scale problems Interaction between the two typesof people is necessary, whether either one realizes it, for the ... function The "Astronomer's Wife" is an excellent short story that brings out the often forgottenpoint that both the practical people and the ambitious dreamers are important for eachother's survival ... had considered her lifestyle avalid one Of course an understanding was never reached, because otherwise the authorwould not have been able to illustrate the similar conflicts that exist in today's...