... contractible edges Let M − M1 and M −→ M2 → − e e Then e is contractible in M1 and e is contractible in M2 , and we have a map M such that M1 −→ M and M2 − M We say that e and e can be contracted ... e1 and σ(e2 ) = e2 or σ(e1 ) = e1 and σ(e2 ) = e2 We say that e and e form a pair of parallel edges Lemma 1.4.1 If e, e form in M a pair of parallel edges, then M and M − e have the same genus ... forbidden minors of genus g, denoted by Mg is the set of maps of genus g with exactly one face and one vertex Cori and Marcus have proved in [3], Prop 6.3 that this set is finite and obtained an exact...
... ISSR and AFLP Variation explained by the first principal component (Z1) is 22% for ISSR and 26% for AFLP, and is 17% for ISSR and 13% for AFLP for the second principal component (Z2) ISSR and ... were conducted to assess the reproducibility of the band profiles 2.4 Data analysis Both ISSR and AFLP bands behave as dominant markers The band profiles of each primer (primer pair) were manually ... 1.5 U of both EcoR I and Mse I (Shanghai Sangon, China) After ligation of adapters and pre-amplification, selective amplification was conducted by combining 30 ng of both EcoR I and Mse I primers...
... g = 0, and One can also reduce the proof of Conjecture B for genus to that of constructing a single hypermap of type τ andgenus 1: Theorem 3.2 If H is a hypermap of type τ andgenus 1, and G ... joining vertices at ±1 and ±i, and three disjoint edges across D joining the pairs of vertices −i and 1, and −1, and −1 and i, so that D is subdivided into two faces of valency and two of valency ... i and −1 + i We have then, at this stage, three triangular faces and one face of valency Inside this hexagonal face we add three more edges, between −2 and 2, between −2 and 2i, and between and...
... Vaughn, 1977; Aizen and Patter- the amount of resources and water available at the time of flowering and fruiting (Corti, 1959; Sharp and Chisman, 1961; Wolgast and Stout, 1977a), and will be susceptible ... pollination and compatibility of male and female gametes (Farmer, 1981; Stephenson, 1981; Sutherland, 1986), on parasite attacks and the vigor of young seedlings (McComb, 1934; Jarvis, 1963; Fry and ... Lloyd and Bawa (1984) and Burd and Allen (1988) predicts that taller individuals reduce local-mate competition and have less saturating fitness curves due to a wider dispersal of their pollen and...
... parent (56% and 30%) and a bit less efficient as the male parent (21% and 42%; data not shown) Crosses between species of the section Odonthagnathis (n = 10; C leucocaulos and C glaucus) and C tinctorius ... CaMV – pat -nos JCH5 and JCH6 primers RGS Primer Figure The structure of the T- DNA construct and location of specific primers (LB and RB) T-DNA left and right border, (JCH5 and JCH6) pat gene ... seeds were harvested and stored for four to six months to allow for a break of dormancy F1 seeds were then germinated in ddH20 and sand and, where required, GA3 was added Parents and F1 plants were...
... brachyantha and/ or O granulata, L perrieri and P parviflora) Putative functions were verified by BLASTX alignment against Viridiplantae proteins Figures 2, andand Additional files and show phylogenetic ... in the MONOCULM1 region were also low [25] dS and dN ratios between O minuta copies and (BB) were slightly lower than between copies andand copies and We postulate that if there was divergence ... widely-divergent species and little is known about the short-term evolution of duplicated copies and their role in species divergence within a genus The model species Oryza sativa L and its wild relatives...
... viruses of the genus Closterovirus is between 105 and 227 nt and those in the genus Ampelovirus between 213 and 737 nt, respectively In contrast, the bipartite and tripartite members of the genus Crinivirus ... Table S5 and Table S6 T7 and SP6 polymerase promoter sequences were included in the forward and reverse primers, respectively, and the PCR amplified products were agarose-gel eluted and used ... bands were putatively identified as sgRNAs corresponding to CPm (ORF 7), p55 (ORF 5) and p5 +HSP70 h (ORFs and 4) genes The specificity of the abundantly-accumulated sgRNAs to CP, p21, p20A and...
... osmoregulatory impairment, and hypertrophy of hepatic adrenal and nasal gland tissue The biological effects of oil pollution on littoral communities were described by Beer (1968), and the acute toxicities ... Genetics and Conservations The Benjamin Cummings Pub Co., Inc., London Selander R., Smith M.H., Young S.Y., Johnson E.W & Gentry G.B (1971) Biochemical polymorphism and systematics in the genus ... pollution and Min oil pollution) Considering homozygotic genotypes, the detergent applied by itself favoured the FF genotype of PGI, and the combined pollution acted against the MM genotype of PGI and...
... C23H24O12 + Na, 515.1165 H and 13C and spectra (CD3OD) (Appendix 22 and 23): see Table 3.1 and Table 3.2 COSY, HSQC and HMBC spectra (CD3OD) (Appendix 24, 25, and 26) Discussion of chemical ... for C18H14O7 + Na, 365.0637 H and 13C-NMR spectra (Acetone–d6) (Appendix 28 and 29): see Table 3.3 and Table 3.4 HSQC and HMBC spectra (Acetone–d6) (Appendix 30 and 31) Discussion of chemical ... splitting of signals and coupling constants of protons at δH 8.28, 7.01 and 6.94 demonstrated two ortho-coupled protons of H–1, H–2 and H–3 of the A ring and the splitting of signals and coupling constants...
... has nonnegative genus; the genus is zero if and only if it is a planar domain For example, the disk and the annulus are both genus zero; on the other hand, a closed surface of genus g with k disks ... with genus ≤ g < ∞ and Si → ∞ After going to a subsequence, Σj , and possibly replacing Sj by Rj and Σj by Σ0,j,Rj where R0 ≤ Rj ≤ Sj and Rj → ∞, then gen(Σj,0,R0 ) = gen(Σj ) ≤ g and either (a) ... NSF Grant DMS 9803253 and an Alfred P Sloan Research Fellowship and the second author by NSF Grant DMS 9803144 and an Alfred P Sloan Research Fellowship 524 TOBIAS H COLDING AND WILLIAM P MINICOZZI...
... the genus of the nonsingular fibers and the number and types of irreducible fibers By the work of Gromov and McDuff [MD] any genus- 0 Lefschetz fibration is in fact holomorphic Likewise, for genus ... On the holomorphicity of genus two Lefschetz fibrations By Bernd Siebert∗ and Gang Tian∗* Abstract We prove that any genus- 2 Lefschetz fibration without reducible fibers and with “transitive monodromy” ... ¯ Q ∈ U \ Z and put F = p−1 (Q) By hypothesis F is Jn -holomorphic and transverse to ϕn and ψn for every n Therefore, for each n the cardinality of −1 ¯ ¯ An := ϕ−1 (F ∩ (U × V )) and of ψn (F...
... form of genus one In higher genus the action of SL2 (R) is not transitive However we have: Theorem 3.5 In genus two the strata are connected, and SL2 (R) acts ergodically on Ω1 M2 (2) and Ω1 M2 ... sublattices H1 (Y1 , Z) and H1 (Y2 , Z) of H1 (X, Z) are orthogonal and of determinant Genus two We will be interested in expressing forms of genus as algebraic sums of forms of genus 1, (X, ω) ∼ (E1 ... subgroup of lower-triangular matrices, and let g, n, a and u denote the Lie algebras of G, N , A and U respectively Writing g = n ⊕ a ⊕ u, we have [n, a] = n and [n, u] = a We may similarly express...
... haplotype to mainland Ohio A tigrinum The Pelee Island A texanum have slight sequence diversity on the island but form a monophyletic clade that is sister to mainland Ohio and Kelleys Island A texanum ... 1997 Hybrids and genetic interactions of mole salamanders (Ambystoma jeffersonianum and A laterale) (Amphibia: Caudata) in New York and New England Am Mus Novit 3218: 1–78 Bogart, J.P., and Licht, ... County, Pelee Island, north Quary Ontario: Essex County, Pelee Island Ontario: Essex County, Pelee Island Ontario: Essex County, Pelee Island Ohio: Ottawa County, North Bass Island Ohio: Ottawa...
... Let x1 , x2 , x3 be the standard coordinates on R3 and Π : R3 → R2 orthogonal projection to {x3 = 0} For y ∈ S ⊂ Σ ⊂ R3 and s > 0, the extrinsic and intrinsic balls and tubes are (0.6) Bs (y) ... NSF Grant DMS 9803253 and an Alfred P Sloan Research Fellowship and the second author by NSF Grant DMS 9803144 and an Alfred P Sloan Research Fellowship 28 TOBIAS H COLDING AND WILLIAM P MINICOZZI ... exist R < r0 /ω and (after a rotation of R3 ) an N -valued graph ¯ Σg ⊂ Σ over DωR \ DR with gradient ≤ ε, and distΣ (0, Σg ) ≤ R ¯ ¯ Combining Theorem 0.3 and Theorem 0.4 with a standard blow-up...
... corresponding signals were present inter alia at d 109.9, 104.2, 103.7, and 101.2 for anomeric carbons and at d 41.0 and 22.8–22.9 for methylene and methyl groups, respectively The spectrum resembled that ... d 73.8, 69.0, 63.4, and 52.6 were higher than the others and were subsequently assigned to the NeuAc residue Analysis of both of the 1H- and the 13C-NMR spectra using 1D and 2D techniques gave ... the first at m/z 1626, 2149, 2677, 3204, 3730, and 4254, the second at m/z 1825, 2352, 2881, and 3401, and the third at m/z 1946, 2475, 3001, 3528, and 4054 All series are spaced with approximately...