... are identical?This article is concerned with variational methods on the existence ofcertain types of solutions to the planar three-body problem withvarious choicesof masses. There is a natural ... results.010.62m1···Triple Star in retrograde motionm2 1 1...Double Star with one planet1A star with two planetsDouble Star with oneouter planet or cometLunar orbit(satellite orbits)222.50orbiting ... collision-ejection orbits) with prime period 2T . This proves (14) for the case φ = π.Now suppose rφ∈ ΔT,φminimizes Iμ,α,Tover ΔT,φfor φ ∈ (0,π). Considerthe circular Keplerian orbit with prime period2πTφ:˜rφ(t)=αT2μφ213etTφi.The...
... Chih-Jen Lin.Radius margin bounds for support vector machines with the RBF kernel. NeuralComputation, 15:2643–2681, 2003.Combining SVMs withVarious Feature Selection Strategies 33 Feature Selection ... features is small.d) Among various feature subsets chosen above, select one with the lowestCV error.3. SVMa) Apply the SVM procedure in Section 2 on the training data with theselected features.Note ... method, but it does not directly obtain the featureimportance. In this article we combine SVM withvarious feature selectionstrategies and investigate their performance. Some of them are “filters”:...
... differ-ent management options associated with Barrett's HGDwere as follows: Post-esophagectomy with dysphagia =0.92; Post-PDT without dysphagia = 0.93; Post-PDT with dysphagia = 0.91. The state ... utility scores (0–1 with 0 = death and 1 = perfect health) for the various Barrett's esophagus associated states were: BE without dysplasia-0.95; Post-esophagectomy forHGD with dysphagia-0.92; ... life in patients with gastroesophageal reflux dis-ease (GERD) and BE, our analysis is the first to presentutilities associated with many of the pivotal health statesassociated with Barrett's...
... Z-complementary sequences are zero within a region aroundthe zero shift. Z-complementary sequences can be defined asfollows.Let A be a flock of complex-valued sequenceswith N ele-ment sequences ... iterations, there are 2nKZ-complementary sequences in total. These sequences aredivided into 2ngroups with each group containing K Z-complementary sequences. The sequences from the ((r−1)K + 1)th ... complementary sequences as a kernel, the proposed constructions are based on sequenceswith periodic and aperiodic zero-correlation zone(PAZCZ). These PAZCZ sequences are unitary sequences, not...
... similar toGabor functions or wavelets, as is typical with image data (see Chapter 21).310ICA WITH OVERCOMPLETE BASES A decomposition with these two properties seems to capture the essential ... problem is, however, that itscomplexity grows exponentially with the dimension of , and thus it can only be used,,16ICA with Overcomplete Bases A difficult problem in independent component analysis ... optimization is easier than usual is when the have a Laplaciandistribution:(16.5)308ICA WITH OVERCOMPLETE BASES where is the noise variance, here assumed to be infinitely small, the are therealizations...
... C8, G9and C11 most frequently and with the moderaterequirements of C7. As for CBF1, the prerequisite bases appeared to be C8 and G9, whereas the other bases within the binding motif were only ... ERF domains from various subgroups withinthe AtERF family recognize a certain binding site with universal binding characteristic to a conserved core.The divergent short flanking bases, on the other ... residuesreported to contact DNA bases directly are red; other conservedamino acid residues that do not directly contact with DNA bases are blue. (B) The DNA base sequence with position numberingalong...
... pumped with a5 W Nd : YVO4diode laser (Millennia, Spectra Physics),and associated with a third harmonic generator. The pulseshad 1–2 ps width and a repetition rate of 0.8–4 MHz, with an ... unlabeled (dashed line) and AEDANS labeled(dash-dots), recorded at 23.5 °C with $ 2 lM protein and with intensities normalized with respect to their emission maximum at327 nm. (D) Binding of wild-type ... samples labeled with 60% Atto532 (i.e. with 43% of Atto532 residing on double-labeled RepAdimers) show clearly different excitation anisotropyspectra from C160–RepA samples labeled with only10%...
... ζapreserves the real line, has an attracting fixed point at z = 0 with multiplier Dζa(0) = a−1and a repelling fixed point at z = 1 with multiplier Dζa(1) = a. (Here and in what follows, D is the ... .QUADRATIC POLYNOMIALS WITH A SIEGEL DISK 25exists, we define Pn:= (Pk)S; otherwise we take a k with I(Pk)=In−2. Such ak must exist, because the sequence of n’s associated with {Pk}k≥0cannot ... of π/3 with theunit circle at z = 1, the third bound follows.QUADRATIC POLYNOMIALS WITH A SIEGEL DISK 5where the summation is over all the univalent branches g = F−kθmapping D tovarious...
... point of f with multipliers λu/s(q),then q is also a fixed point of f2, and it has multipliers (λu/s(q))2> 0.Annals of Mathematics Real polynomial diffeomorphisms with maximal ... real polynomial diffeomorphism to a real polynomial diffeomorphism of the same degree in the form (1.1).Proof. According to [FM] a polynomial diffeomorphism fRof R2is con-jugate via a polynomial ... consistent with the analysisabove.Figure 0.11. BackgroundDespite the fact that we study real polynomial diffeomorphisms, the proofsof the results of this paper depend on the theory of complex polynomial...
... structure with timegranularities. Then a complex event type derived from is with each variable associated with an event type, anda complex event matching is with each variable asso-ciated with ... notion of a timed finite automaton with granularities (TAG). A TAG is essentially a standardfinite automaton with the modification that a set of clocks isassociated with the automaton and each transition ... is starting with simple subpatterns (subsequences in this case) and incre-mentally building longer sequence candidates for the dis-covery process. While we assume to start directly with adata...
... X1∪ X2is polynomially convex for D small enough . We have X3∪ X4is the imageof X1∪ X2under the biholomorphic map (z, w) → (−z, w). So X3∪ X4is also polynomially convex with D sufficiently ... (1993) 145.[5] G. Bharali, Surfaces with degenerate CR sigularities that are locally polynomially convex, Michigan Math. Journal., 53(2005) 429.[6] E. Kallin, Fat polynomially convex sets, Function ... exp(iθ), ρnexp(−niθ)) : 0 ≤ ρ ≤ r}, with a constant θ. Obviously,p−1(0) ∩ Xr1is polynomially convex for r small enough. Thus p−1(0)∩(Xr1∪Xr2) is polynomially convex for r smallenough....
... gradually oust the bulbsand corms and grown plants with whichphysiologists there is no difficulty insettling the question of quantity inaccordance with the signs of thephysiology of a normal body. ... quantity with sufficient care.That the question of nutrition should beconsidered in relation to every illnesseven though it may appear on the surfaceto have no direct connection with foodso ... philanthropist, thebusiness man, whereas none of these cando work at a really human standardwithout imagination that is living,penetrating, active and yet trained anddisciplined.A recent...
... non-cod-ing sequences at its 5' and 3' regions. The lengths and sequences of these non-coding sequences are segmentspecific. Growing evidences have supported the hypothe-sis that these sequences ... non-coding sequence with the corresponding sequences of the NA to investigate the role of segment-specific sequences on viral transcription and replication.An A/WSN/33 (H1N1) mutant with the above ... 217:242-251.Additional file 1NS vRNA sequences in the studied mutants. The non-coding sequences of NS vRNA in the wild-type (WT) and NSNA viruses were shown. The NS and NA segment-specific sequences were underlined...
... theIHMPT algorithm for ISAR imaging of ship target with highmaneuv erability.5.1. Simulated Data. Here, we use the simulated data ofship target with three-dimensional rotation (including theroll, ... pagesdoi:10.1155/2011/425203Research ArticleISAR Imaging of Ship Target with Complex Motion Based on NewApproach of Parameters Estimation for Polynomial Phase SignalYong Wang and Yi-Cheng JiangResearch ... positions willinfluence the parameters estimation accuracy. In [17, 18], the polynomial Fourier transform and local polynomial Fouriertransform are used in ISAR or SAR imaging, but thesealgorithms...
... perfectautocorrelation sequences associated with the set BLcan befactored into (L− 2)! PSSs. The construction is outlined inthe next example.Example 16. Fix L= 5. The PSS sequences are given ... perfect autocorrelation sequences. The first PSS in thepartition is the set of generalized Frank sequences. Theremaining PSSs are formed by appropriate permutationsof sequences in the first PSS ... utocorrelation sequences into PSSs proceeds as follows.(1) Start with the sequence (1, 2, , L−1), and apply themapping k→−ak (mod L), 1 ≤ a<L−1toeachofits elements.(2) Generate the “ j” sequences...