correlations the number of data points and variables

... ) < exp(Cn1+δ ) The strategy for the proof of this theorem is the same as the strategy of the proof of Theorem 1.3.9 described in Chapter Denote the supremum C and C -norms of the family (3.1) ... consists of C -smooth maps of the interval I Then for any δ > and µst -a.e ε ∈ HBst (τ ) there exists C = C(ε, δ) > such τ that the number of periodic points Pn (fε ) of fε of period n and their ... groups and is the main reason why the estimate on the number of periodic points is exp(Cn1+δ ), not, say, exp(Cn log n) In view of the importance of the theorem, we present an outline of its proof...

Ngày tải lên: 29/03/2014, 07:20

... the isotopy class of f (Theorem 4.11) Since the Nielsen number N( f ) is a lower bound of the number of fixed points for maps in the homotopy class of f , the minimal number MI({α1 , ,αm }, {S1 ... lemma and Lemma 3.4, we get immediately our conclusion By this proposition, the number |αi ∩ S j | determines in some sense the number of fixed points In order to reduce the number of fixed points of ... spheres The minimal number MI({α1 , ,αm }, {S1 , ,Sm }) of the intersection of sliding paths and sliding spheres gives a possible number of fixed points for homeomorphisms in the isotopy class of...

Ngày tải lên: 22/06/2014, 22:20

Ngày tải lên: 07/07/2014, 12:20

... C1 and we can argue the existence of a 6-cycle as in the previous case Remark: The proof shows that the number of Hamilton cycles is within a polynomial factor of the number of two factors of ... In both cases the bounds are “close” to the expected number of in the random graph Gn,d The results here are strongly related to the result of Alon, R¨dl and Ruci´ ski [2] o n They considered ... denotes the number of spanning trees of G then (d − )n−1 nn−2 ≤ t(G) ≤ (d + )n−1 nn−2 (3) This follows from results of Alon [1] and Kostochka [7] We prove Theorem 1(a) in the next section and Theorem...

Ngày tải lên: 07/08/2014, 06:22

... conjecture of J Benton, R Snow, and N Wallach in [1] the electronic journal of combinatorics 13 (2006), #N8 Start of the proof Let N = {0, 1, } Define the weight of a matrix N to be the sum of its ... polynomial in x and y of degree ≤ deg f + By induction and (4) it follows that the coefficients of G are rational numbers This proves the lemma End of the proof Since G is a polynomial of degree ≤ ... in Nm be the vector of row sums of a matrix in M, and set λ = λ(x) Then (x, y) ∈ RC if and only if y ∈ Nn satisfies (i) |y| = |λ|, and (ii) yσ λ for all σ ∈ Sn the electronic journal of combinatorics...

Ngày tải lên: 07/08/2014, 13:21

... analyse the impact of different DR and LV on the "actual fluence maps" using the same "optimal fluence map" and thereby the impact on the number of monitor units and the dose-volume-histogram of the ... dose areas) The higher the DR and the lower the LV, the higher was the dose given to the PTV and OAR The D55 and D90 of the rectum differed by 0.2% – 3.7% and 0.3% – 3.9% relative to the mean over ... each other by use of the gamma index evaluation with mm and 3% [4-6] The relation between the gamma index and the number of monitor units were analysed The number of monitor units depends on the...

Ngày tải lên: 09/08/2014, 09:22

... particulars of the query language, e.g the keywords, and order of the operations and statements By measuring user performance of stage and stage 2, we can determine the impact of the data model and the ... separating the effect of the data model from the effect of the query language The second and the third sections review the existing researches that compare data models and query languages for the query ... 3-1 The research model The data model refers to the data model structure, the operations and any constraints on the operations It affects the way a user views and manipulates the data in the database...

Ngày tải lên: 28/09/2015, 13:21

... the r-th power of the class group of M , and as r/2+ε such has cardinality ε DM/Q , by the easy part of the Brauer-Siegel theorem On the other hand, the number of primes λ is |S|, and | Hom(Iλ ... ; then L is the normal closure of L over M Further, DL ≤ (DL )1/|H0 | K (NK DL/K )1/|H0 | It follows from the main theorem of [18] that Q the number of possibilities for L (and hence the number ... = Z/2Z In the former case, the proposition follows from the theorem of Datskovsky and Wright [6] on the number of cubic extensions of number fields (More precisely, EXTENSIONS OF A NUMBER FIELD...

Ngày tải lên: 06/03/2014, 08:21

... in Rn Proof of Theorem 4.1 The ubiquity version of Theorem 4.2 An auxiluary lemma 4.3 Proof of Theorem Proof of Theorem Proof of Theorem Proof of Theorem Various generalizations 8.1 Theorem for ... completes the proof of Theorem 10 in the case that G is finite C.3 Proof of Theorem 10: G = ∞ The proof of Theorem 10 in the case that G is infinite follows the same strategy as the proof when G ... Proof of Theorem modulo Theorem This is trivial Given the hypotheses of Theorem 7, the hypotheses of Theorem are clearly satisfied Fix an interval I ⊆ I0 By Theorem 7, there exist constants δ0 and...

Ngày tải lên: 15/03/2014, 09:20

... survival and in preventing thousands of new cases of the disease, both in the UK and across the world Cancer Research UK has been at the heart of this progress thanks to the sustained support and ... progress and has saved the lives of hundreds of thousands of people in the UK and many millions more around the world • We were the first to discover the breast cancer susceptibility gene BRCA2 and ... how to reduce their risk of cancer Three-quarters of the UK public will be aware of the main lifestyle choices they can make to reduce their risk of getting cancer • The number of smokers will...

Ngày tải lên: 22/03/2014, 16:21

... of trials and that of the ratio of the number of pending trials to the number of incoming trials instead of dummy variables thereon and found that the marginal effects of the two are insignificant ... robustness of our results, we first tried using the length of trials and the ratio of the number of pending trials to the number of incoming trials instead of using dummy variables thereon We ... population, the number of judges, and the number of court personnel In our analysis, we normalized the number of pending trials by the number of incoming trials, as done by Fabbri and Padula (2004),...

Ngày tải lên: 22/03/2014, 20:20

... research and development center sponsored by the Office of the Secretary of Defense, the Joint Staff, the Unified Combatant Commands, the Department of the Navy, the Marine Corps, the defense agencies, and ... enhance the stability of the marriage, and the longer the deployment, the greater the benefit Understanding the Effects of Military Service and Deployment on Military Marriages Despite the demonstrable ... understood and used by a wide audience Thus, the monograph may be of interest to the military services, the Office of the Secretary of Defense, individual service members and their families, members of...

Ngày tải lên: 29/03/2014, 19:20

... 12, put the under the units column, and then carry above the 45 17 + AM FL Y You’d then add the carried 1, the and the other to make 6, which you’d then write underneath the tens column And, you’d ... value of n and the number of elements in the array itself The larger the number of elements to move, the more time it would take In fact, the time taken by the For loop would be proportional to the ... part of the variable and the second read to get the second part The CPU then stitches together the value from these two parts, throwing away the bytes it doesn’t need (On other processors, the...

Ngày tải lên: 16/04/2014, 11:14

... computer lab, and dining hall, in addition to the maximum number of faculty per staff office and house [13] The national quality standard ratios for the number of students per tutor and clinical ... Within the MoH, there are three separate units that oversee the funding, construction, and management of training institutions Outside of the MoH, the Cabinet Office and the Ministry of Finance ... models, assisted in data collection, analyzed the data, and drafted the manuscript CP and EM assisted with data analysis and drafting of the manuscript All authors read and approved the final manuscript...

Ngày tải lên: 18/06/2014, 17:20

... Elmer) For analysis of cell growth inhibition, the data was plotted as the percent of the DMSO-treated control samples and the data was fit using the IDBS XLfit4 software for data analysis Values ... for the majority of cells to contain sub2N DNA Furthermore, the Ymin (minimum response of the dose response curve) and the T = values (the number of cells at Time zero) were determined from the ... GSK1070916 Ymin values represent the bottom of the response curve and define the largest effect of the compound These Ymin values are evaluated relative to the number of cells at time zero using a...

Ngày tải lên: 18/06/2014, 22:20

... Elmer) For analysis of cell growth inhibition, the data was plotted as the percent of the DMSO-treated control samples and the data was fit using the IDBS XLfit4 software for data analysis Values ... for the majority of cells to contain sub2N DNA Furthermore, the Ymin (minimum response of the dose response curve) and the T = values (the number of cells at Time zero) were determined from the ... GSK1070916 Ymin values represent the bottom of the response curve and define the largest effect of the compound These Ymin values are evaluated relative to the number of cells at time zero using a...

Ngày tải lên: 20/06/2014, 04:20

... Corollaries 3.1 and 3.2 all generalize and improve [5, Theorem 3.4] and the primitive Chatterjea’s fixed point theorem [3] Fixed point theorems of generalized Kannan’s type and others The following ... (3.1) Therefore, the conclusion follows from Theorem 3.1 The following result is immediate from the definition of Dp and Theorem 3.1 Theorem 3.3 Let T : X → CB (X) be a capable map Suppose that there ... y∈A Denote by N (X) the family of all nonempty subsets of X, C (X) the family of all nonempty closed subsets of X and CB (X) the class of all nonempty closed bounded subsets of X, respectively...

Ngày tải lên: 20/06/2014, 22:20

... lower semicontinuous Then Fix T = ∅ The purpose of this paper is to study the existence and data dependence of the fixed points and strict fixed points for some self and nonself multivalued operators ... · D(x0 ,T(x0 )) The rest of the proof runs as before and so the conclusion follows Remark 2.6 The above result generalizes the fixed point result in the work of Rus [12], where the following graphic ... a contradiction with the maximality of (t0 ,x0 ) Remark 2.4 Theorem 2.3 extends the main theorem in the work of Frigon and Granas [6] See also Agarwal et al [1] and Chis and Precup [2] for some...

Ngày tải lên: 22/06/2014, 22:20

... Since 85 number of traveller went up dramatically until 40 It was alomost twice then between 90 and 93 the number rimain stateable, which is about 12 millions From 93 to 95 it rose slightly Therefore ... is the same or slightly decreased Comment: This is an answer written by a candidate who achieved a Band score Here is the examiners comment: The writer does what is required of her in terms of ... and the message can be followed, but the weaknesses in grammatical control and in spelling cause difficulty for the reader Complex sentence structures are attempted, but the greatest levels of...

Ngày tải lên: 07/07/2014, 12:20