fermat apos s little theorem and euler apos s theorem
Báo cáo toán học: " Derangements and Euler’s difference table for C" potx
Ngày tải lên :
07/08/2014, 15:23
... k-circular successions we can first choose m positions i1 , , im of k-circular successions among the first n − k ones and then construct a permutation π0 of order n−m without k-circular successions on ... k-circular succession of σ (i) Suppose sgnπ (σ(i)) = As σ(i) ∈ Tσ and σ −1 (σ(i)) = i, we have sgnπ (σ(i)) = sgnπ (i) · sgnπ (σ(i)) = sgnπ (i) (ii) Suppose that sgnπ (σ(i)) = sgnπ (i) As σ(i) ∈ Tσ and ... decomposition into blocks is 9|5 8|2| and we recover σ by putting parentheses around each block Lemma 15 For k ≥ 1, the mapping ϕ transforms the k-circular successions to k-linear successions and...
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Big Questions from Little People: And Simple Answers from Great Minds
Ngày tải lên :
15/03/2014, 23:35
... television shows Aliens are everywhere, it seems But not everything you see in movies or on TV is true So what scientists say about aliens? Do they exist? The answer is: We still don’t know Most scientists ... equator are hottest: the jungles and deserts and tropical islands The places that catch the sunlight least well are the edges, the poles This is why they are all snow and ice, and unless you’re a penguin ... to us both Gemma Elwin Harris A BIG THANK YOU I cannot thank enough the brilliant and extremely busy scientists, historians, philosophers, psychologists, naturalists, explorers, artists, musicians,...
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exterior diff systems and euler-lagrange partial diff eqns - bryant, griffiths and grossman
Ngày tải lên :
31/03/2014, 15:56
... theory is not as well-developed as that of the first variation and the Euler- Lagrange equations We will consider these issues and several others in a geometric setting as suggested above, using various ... the first term on the right-hand side vanishes by our assumption on ξ (our second use of this assumption), so we must have = Θk ∧ (X ξ), and the induction hypothesis then gives X ξ = This is true ... differential system whose integral manifolds are graphs of Gauss maps of K = −1 surfaces in E3 In §4.3.4, we will discuss the B¨cklund transformation for this system, which a relates this particular...
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using options to buy stocks - build wealth with little risk and no capital
Ngày tải lên :
23/04/2014, 16:02
... the smallest of traded issues As a result of stock splits, mergers, acquisitions, and other factors, these limits are periodically adjusted Position limits are imposed by the various options exchanges ... risk associated with short selling (A short sale occurs when the investor borrows shares of a stock and sells them in the hope that they can be subsequently purchased back at a lower price and ... Class and Series All option contracts on the same underlying security having the same type (put versus call) and style (American versus European) are referred to as constituting an option class...
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Báo cáo toán học: " Landau’s and Rado’s Theorems and Partial Tournaments" pdf
Ngày tải lên :
07/08/2014, 21:21
... of Landau s theorem using Rado s theorem The necessity of (1) is obvious Now assume that (1) holds Let X = {(i, j); ≤ i, j ≤ n, i = j} Consider the matroid M on X whose circuits are the n disjoint ... integers r1 , r2 , , rn , it is possible to use Rado s theorem to establish necessary and sufficient conditions for T to be extendable to a tournament T with score sequence r1 , r2 , , rn Thus ... University Press, New York, 1992 [7] K.B Reid, Tournaments: scores, kings, generalizations and special topics, Congressus Numerantium, 115 (1996), 171–211 [8] C Thomassen, Landau s characterization...
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Báo cáo toán học: "Topological circles and Euler tours in locally finite graphs" pptx
Ngày tải lên :
07/08/2014, 21:21
... this assertion for locally finite G and discuss a possible application to hamiltonicity problems Finally, in Section we discuss extensions of the above results to non-locally-finite graphs and ... In this section we are going to discuss generalisations of the results of this paper to non-locally-finite graphs and other spaces Let us start with an example The graph G of Figure consists of ... bears some similarity to the first singular homology group H1 of |G|, as both are based on circles, i.e closed 1-simplices, in |G| Diestel and Spr¨ ssel [16] investigated the precise relationship...
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Báo cáo hóa học: "Research Article Strict Contractive Conditions and Common Fixed Point Theorems in Cone Metric Spac" docx
Ngày tải lên :
22/06/2014, 11:20
... 2◦ is a special case of 1◦ and 3◦ is a special case of 2◦ This is not the case in the setting of cone metric spaces, since for a, b ∈ P , if a and b are incomparable, then also a b /2 is incomparable, ... sequel we assume only that E is a Banach space and that P is a cone in E with int P / ∅ The last assumption is necessary in order to obtain reasonable results connected with convergence and continuity ... under strict conditions in symmetric spaces was investigated in 16–21 As an example we state the following result Theorem 3.12 see 19 Let X, d be a symmetric (semimetric) space that enjoys property...
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Báo cáo hóa học: " QUASICONTRACTION NONSELF-MAPPINGS ON CONVEX METRIC SPACES AND COMMON FIXED POINT THEOREMS" doc
Ngày tải lên :
23/06/2014, 00:20
... 366 Quasicontraction nonself-mappings this paper we consider quasicontraction nonself-mappings on Takahashi convex metric spaces and common fixed point theorems for a pair of maps Results generalizing ... Quasi contraction nonself mappings on Banach spaces and common fixed point theorems, Publ Math Debrecen 58 (2001), no 3, 451–460 S Reich and A J Zaslavski, Well-posedness of fixed point problems, ... commuting maps on a metric space, Proc Amer Math Soc 77 (1979), no 3, 369–373 F S De Blasi and J Myjak, Sur la porosit´ de l’ensemble des contractions sans point fixe [On the e porosity of the set of...
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Girsanov’s theorem and the risk-neutral measure
Ngày tải lên :
18/10/2013, 03:20
... and I ! = 0, this doesn’t really tell us anything useful about I Thus, P P we consider subsets of , rather than individual elements of e Distribution of B T If is constant, then n o Z ... is a martingale under IP 192 Lemma 1.54 (Baye s Rule) If X is F t -measurable and s t T , then f IE X jF s = Z s IE XZ t jF s : Proof: It is clear that Z 1s IE XZ t jF s is ... y2 dy (Substitute y = T + b) y = T + b = p 2T ,1 = 0: CHAPTER 17 Girsanov s theorem and the risk-neutral measure 191 fe We can also see that I B T = by arguing directly from the density formula...
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World Vision’s Little Book of Maternal and Child Health in the Asia Pacific pdf
Ngày tải lên :
05/03/2014, 10:20
... estates The state of children s health in Sri Lanka is set to worsen as a result of massive displacement, which has disrupted health services in affected areas, and rapidly rising food costs ... mobilisation of others This book explores some of these gaps, as well as potential solutions to fill them, by sharing stories from World Vision s field experiences A single story may not constitute ... The diversity of living standards across Indonesia s islands is not necessarily reflected in their national statistics In urban areas like Jakarta, micro-nutrient malnutrition affects the development...
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Đề tài " Deligne’s integrality theorem in unequal characteristic and rational points over finite fields " pptx
Ngày tải lên :
22/03/2014, 20:20
... Carroll to express his “confusion”, is a P2 blown up times, crossing itself in rational double curves, themselves crossing in triple points Theorem 1.3 allows one to say (in a less entertaining ... shall assume that W = Spec (K) and that C is a constant sheaf Let V1 be the projective and smooth completion of V , and Z := V1 \ V Extending scalars, we may and shall assume that Z consists ... reduced and is a strict normal crossing divisor In this case, X is necessarily regular as well Recall from [5, (6.3)] that if A ⊂ X, A = i Ai is a divisor, (X, A) is said to be a strictly semi-stable...
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Đề tài " Conformal welding and Koebe’s theorem " docx
Ngày tải lên :
22/03/2014, 20:21
... one easily sees that quasisymmetric and log-singular homeomorphisms are each nowhere dense sets which are distance apart (It is standard to show this space is complete but nonseparable but a little ... First suppose we can construct sequences with these estimates Then by the Weierstrass M -test, (7.2) and (7.3) imply fn and gn converge on D and D∗ respectively to continuous functions f and ... could find such sets where E1 ∪ E2 ∪ E3 = T and cap(E2 ∪ E3 ) + cap(h(E1 )) is as small as we 630 CHRISTOPHER J BISHOP wish But by Lemma 11, this contradicts our assumption on h, and so R must remain...
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abel's theorem in problems and solutions - v.b. alekseev
Ngày tải lên :
31/03/2014, 14:57
... ABEL S THEOREM IN PROBLEMS AND SOLUTIONS This page intentionally left blank Abel s Theorem in Problems and Solutions Based on the lectures of Professor V.I Arnold by V.B Alekseev Moscow State ... transformations and is defined as (the transformation is done first, afterwards) If and axe transformations of the set M then is also a transformation of set M DEFINITION Suppose that a set G ... transformations groups and group homomorphisms, kernels, exact sequences, and relativistic ideas The normal subgroups appeared as those subgroups which are relativistically invariant, that is, not depend...
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Báo cáo sinh học: "Maximal and minimal point theorems and Caristi''''s fixed point theorem" pot
Ngày tải lên :
18/06/2014, 22:20
... Caristi s fixed point theorem and the results in the studies of Jachymski, Feng and Liu, Khamsi, and Li MSC 2010: 06A06; 47H10 Keywords: maximal and minimal point; Caristi s fixed point theorem; Caristi-type ... problem stated by Kirk First, several existence theorems of maximal and minimal points are established By using them, some generalized Caristi s fixed point theorems are proved, which improve Caristi s ... In the past decades, Caristi s fixed point theorem has been generalized and extended in several directions, and the proofs given for Caristi s result varied and used different techniques, we refer...
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báo cáo hóa học:" Maximal and minimal point theorems and Caristi''''s fixed point theorem" pdf
Ngày tải lên :
20/06/2014, 04:20
... Caristi s fixed point theorem and the results in the studies of Jachymski, Feng and Liu, Khamsi, and Li MSC 2010: 06A06; 47H10 Keywords: maximal and minimal point; Caristi s fixed point theorem; Caristi-type ... problem stated by Kirk First, several existence theorems of maximal and minimal points are established By using them, some generalized Caristi s fixed point theorems are proved, which improve Caristi s ... In the past decades, Caristi s fixed point theorem has been generalized and extended in several directions, and the proofs given for Caristi s result varied and used different techniques, we refer...
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Báo cáo toán học: " Maximal and minimal point theorems and Caristi’s fixed point theorem" docx
Ngày tải lên :
20/06/2014, 21:20
... the assumptions made on h in [12,13] force that (H) is satisfied In other words, (H) is necessarily assumed in [12-14] Meanwhile, is always assumed to be lower semicontinuous there In this study, ... ε} for some ε >0 Assume that is lower semit∈X continuous and bounded below, h is continuous and nondecreasing, and there exists δ >0 and c >0 such that h(t) ≥ ct for each t Î [0, δ] He showed ... In what follows we shall show that Theorem implies Caristi s fixed point theorem The following lemma shows that there does exist some partial order ≼ on X such that (H3) is satisfied Lemma Let...
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báo cáo hóa học:" Research Article Browder’s Fixed Point Theorem and Some Interesting Results in Intuitionistic Fuzzy Normed Spaces" doc
Ngày tải lên :
21/06/2014, 11:20
... Browder s Theorems and Some Results in IFNS In this section, we discuss the idea of fuzzy type of some Browder s fixed point theorems in intuitionistic fuzzy normed space by 26, 27 As a consequence ... Nonlinear Science and Its Applications, vol 3, no 2, pp 96–109, 2010 13 R Saadati, S Sedghi, and N Shobe, “Modified intuitionistic fuzzy metric spaces and some fixed point theorems,” Chaos, Solitons and ... ∗, ♦ is said to be intuitionistic fuzzy normed spaces for short, IFNS if X is a vector space, ∗ is a continuous t-norm, ♦ is a continuous t-conorm, and μ, υ are fuzzy sets on X × 0, ∞ satisfying...
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Báo cáo hóa học: "Research Article Quasicone Metric Spaces and Generalizations of Caristi Kirk’s Theorem" ppt
Ngày tải lên :
21/06/2014, 20:20
... English Series, submitted D Turkoglu, M Abuloha, and T Abdeljawad, “KKM mappings in cone metric spaces and some fixed point theorems,” Nonlinear Analysis: Theory, Methods and Applications, vol ... contractions in cone metric spaces,” Nonlinear Analysis: Theory, Methods and Applications, vol 71, no 11, pp 5170– 5175, 2009 10 J Caristi, “Fixed point theorems for mappings satisfying inwardness conditions,” ... This work is partially supported by the Scientific and Technical Research Council of Turkey References L.-G Huang and X Zhang, “Cone metric spaces and fixed point theorems of contractive mappings,”...
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Báo cáo hóa học: "Research Article Equivalent Extensions to Caristi-Kirk’s Fixed Point Theorem, Ekeland’s Variational Principle, and Takahashi’s Minimization Theorem" ppt
Ngày tải lên :
21/06/2014, 20:20
... extension to 10, Theorem and 7, Theorem From these results we also derive Theorem 3.2 Consequently, seven theorems established in Sections 3–5 are shown to be equivalent Firstly, we use Theorem 4.1 ... Point Theory and Applications Extensions of Ekeland s Variational Principle As applications of Theorems 3.4 and 3.5, several generalizations of EVP will be presented in this section Theorem 4.1 ... τ-distance, we show that these extensions are equivalent For the case where the τ-distance is l .s. c in its second variable, we apply our generalizations to extend several existing results about...
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