... extend R and Θ to include these variables by forming the Cartesian product of R with copies of (0, ∞) and the Cartesian product of Θ with copies of [−π, π] We extend a and B by adding entries of zeroes; ... bynumberof singleton blocks using the generating function exy exp {ex − − x} Fix integers k and m Let an,j be the numberof partitions of an n-set into j blocks such that the total numberof ... h Proof (of Theorem 3): Since Λg ⊆ Λf , it follows that Λfg = Λf The remainder of the proof is straightforward and will be omitted Proof (of Theorem 4): By multidimensional multisection of series,...
... of Science, Mathematics - Physics 26 (2010) 43-49 47 Proccessing of the measured results and drawing of graphs are done by software of Origin The fitted equations and saturation thicknesses of ... crystal of Yap(Ce) having outer diameter of 60 mm, inner diameter of 15 mm, thickness of mm, and aluminum incident window with thickness of 0.3 mm, and a photomultiplier working at high voltage of ... / VNU Journal of Science, Mathematics - Physics 26 (2010) 43-49 includes two parts: i) the theoretical simulation of measuring intensity for thickness of materials by the system of MYO-101 with...
... multiplicity of infection values (m.o.i.) of 100 and 500, adipophilin mRNA was increased 14 ± 0.8- and 39 ± 7.8-fold, respectively, and adipophilin protein was increased 6.5 ± 1.7- and 38 ... acetone, and 10 lg cell supernatant After incubation at 37 °C (30 min), the reaction was terminated by addition of mL of borate ⁄ carbonate buffer (0.1 m, pH 10.5) followed by mL of chloroform ⁄ ... (oxLDL) by a variety of mechanisms, including the scavenger pathway [2], and that VLDL are capable of inducing CE and triglyceride (TG) accumulation in macrophages [3,4] The mechanism of TG accumulation...
... platform (SB) described in [8] By a reasonable organization of the hardware components andof the bus segments, one can increase the degree of parallelism of data transfers and in this way possibly ... solutions The proposed heuristics start with a random initial deviceto-segments allocation set by: (i) InitRandomly Random initial order of devices, and randomly set segment borders (code not shown) ... inclusion of the processing time andof the packet size in future versions of the algorithm comes as a necessity Impact of Topology A further improvement of performance is represented by a circular...
... of Science, Mathematics - Physics 26 (2010) 43-49 47 Proccessing of the measured results and drawing of graphs are done by software of Origin The fitted equations and saturation thicknesses of ... crystal of Yap(Ce) having outer diameter of 60 mm, inner diameter of 15 mm, thickness of mm, and aluminum incident window with thickness of 0.3 mm, and a photomultiplier working at high voltage of ... / VNU Journal of Science, Mathematics - Physics 26 (2010) 43-49 includes two parts: i) the theoretical simulation of measuring intensity for thickness of materials by the system of MYO-101 with...
... variables: the numberof descendants Dn and the numberof ascendants An of a randomly chosen internal node in a random search tree of size n This corresponds to averaging Dn,j and An,j over j ... expectations E [X] and probabilities P [X] are induced by the creation process of the random search trees (BSTs resp LBSTs) The numberof descendants and the numberof ascendants in random BSTs have ... element in a file of size ≤ 2, while the average numberof ascendants of the j th node in a random LBST of size n ≤ is 3/2 (for j = and j = 2) Then an,j and the expected numberof passes to select...
... blocks β and β of π and elements a < b < c < d such that a, c ∈ β and b, d ∈ β From now on we use state and partition indistinctly If we denote by N C m the set of all non-crossing partitions of [m], ... is a subgraph of G and G has no loops, then the numberof acyclic orientations of G is at least that of H; this is because every acyclic orientation of H can be extended to one of G The same ... n→∞ n→∞ The proof of the second equality is very similar; it relies again on the formula T (G∗ ; x, y) = T (G; y, x), and the fact that the numberof forests and the numberof connected subgraphs...
... positions in σ of the 1st through (b − (q − 1))th copies of k (the positions of the last q − copies of k not affect the numberof occurrences of the pattern), and we let A = ab−(q−1) The numberof occurrences ... detail some properties of the random variable X(τ ′ ), the numberof occurrences of a hidden word τ ′ in a random k-ary word of length n, including the mean and variance of its distribution A ... p letters is k By the principle of inclusion-exclusion, the numberof such σ is p Nm (−1)m+1 , m=1 where Nm is the sum, over all m-subsets of the first p positions, of the numberof words σ with...
... coefficient of 0.88 beginning of the season, the predawn potential was about -0.5 MPa water for both sprouts and standards and it reached minimum values (-2.6, -2.8 MPa for sprouts and standards, ... determined by adding a blue dye to the water and counting with a microscope the numberand area of vessels filled by the solution The relationship between the real sap velocity ( Vs) and the heat ... consisted of measuring in the field the water uptake of sampled trees, which represented the averages of the size classes A plastic tank was attached around the stem and filled with water The bark and...
... existence of Cpc in melanoma cells was evidenced by the analyses of immunoblotting and confocal immunofluorescence localization Cpc was found to be at nucleus at the early stage (10 and 30 min) of entrance ... promoted the degradation of MITF, leading to the Page of 11 suppression of melanogenesis Moreover, Cpc attenuated the activation of p38 MAPK and the downstream phosphorylation of CREB to down-regulate ... experiment Melanin content was calculated by normalizing the total melanin values with protein content (μg of melanin/mg of protein) and expressed as a percentage of control All the experiments were...
... all 60 replicates The numberof QTL contributing to the trait was changed by letting 5% (low numberof QTL), 25% (intermediate numberof QTL) or 50% (high numberof QTL) of all loci with a MAF ... the optimal numberof components If the optimal numberof components was below ten, this optimal numberof components was used and the algorithm was stopped If the optimal numberof components ... accuracies of MEBV calculated with BM, LARS and PLSR as affected by the simulated numberof QTL The plots display the accuracies of 60 replicated simulations for numberof QTL around 35, 172 and 343...
... Genome Biology 2006, Conclusion Samples ofand μl of tear fluid were resuspended in 20 μl of M urea and M thiourea (Invitrogen) and submitted to reduction and alkylation as described above For ... MS2 and 50 counts for MS3 An activation q -value of 0.25 and an activation time of 30 ms was applied in both MS2 and MS3 fragmentation [20] However, due to the expected higher complexity of in ... would have a larger numberof peptides identified in the Orbitrap, due to the higher speed of analysis We also show that 64 proteins (or approximately 12% of the total numberof proteins described)...
... Promoter Analysis of MFT-like Subfamily Genes in Arabidopsis, Rice and Maize 137 ix LIST OF ABBREVIATIONS AND SYMBOLS LIST OF ABBREVIATIONS AND SYMBOLS Chemicals and reagents ABA ... ethylene might play a role in the release of dormancy and the promotion of germination of non-dormant seeds of many species (Kepczynski and Kepczynska, 1997; Matilla, 2000) Ethylene production ... Expression of MFT in Response to NaCl and ABA 91 Figure 17 Expression of MFT, ABI3, ABI4, and ABI5 in Wild-type Seeds after Imbibition .93 Figure 18 Expression of MFT in Wild-type and...
... conclusions of the Proposition 3.4 are true Proof of Proposition 3.7 Similar to the proof of the Proposition 3.4 The intuition of this proposition is not straightforward and resides in the same type of ... functions of α as it is shown y2 Proof of Lemma 3.1 The discriminant of h can be written as Δ v 2uy 4u2 y > 0; hence h has two real roots For each α −v/2uy ∈ R, we will denote by x1 α andby x2 ... functions of α ∈ R can be elementary studied by computing their derivatives and the limits at the endpoints of R Since x1 α > 0, for each α ∈ R and x2 α > 0, for each α ∈ R, then x1 α and x2 α...
... all t1 < t2 in 0, and x ∈ a, 3a b /4 By 2.7 – 2.9 and using a similar method to that from Theorem 2.2, we can show that J is increasing on 0, and 2.6 holds This completes the proof The following ... functions I and J Theorem 2.5 Let f, g, I, and J be defined as above Then I t ≤ J t on 0, Proof By the identity a b /2 J t f tx 1−t 3a b a f t a b−x 1−t a 3b g 2x − a dx, 2.10 on 0, , 2.3 and using ... Proschan, and Y L Tong, Convex Functions, Partial Orderings, and Statistical Applications, c c vol 187 of Mathematics in Science and Engineering, Academic Press, Boston, Mass, USA, 1992 G.-S Yang and...
... for ≤ n ≤ 11 and So, by the sign of P C3 ; λn C4 n−3 n−4 < λn C4 for n > 11 Thus the result holds λn C3 Lemma 3.13 C3 n − 4, ≺ C4 n − 5, for n ≥ Proof By the proofs of Lemmas 3.7 and 3.10, we ... from Ck by joining a vertex of Ck with n − k K1 , and Ck n − k − 1, denotes the unicyclic graph obtained from Ck by Journal of Inequalities and Applications joining two adjacent vertices of Ck ... surveyed the main results of the theory of graphs with least eigenvalue −2 starting from late 1950s Connected graphs in which the numberof edges equals the numberof vertices are called unicyclic...