p is as the probability of incorrect selection i e as t increases p cs increases and p is decreases let denote the set and denote the set then the probability of incorrect selection can be expressed as
OPTIMAL COMPUTING BUDGET ALLOCATION FOR SIMULATION BASED OPTIMIZATION AND COMPLEX DECISION MAKING
Ngày tải lên :
10/09/2015, 09:30
... As T increases, P{ CS} increases and P{ IS} decreases Let S1 denote the set {1, 2, , m} and S2 denote the set {m + 1, m + 2, , k} Then the probability of incorrect selection can be expressed as ... always provide decision makers the information of the best alternatives no matter the null hypothesis is rejected or not The aim of R&S procedures is to determine the number of simulation replications ... first type is to guarantee a desired probability of correct selection, in which a correct selection means the best alternative is selected in the experiments A traditional work in this group is...
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Báo cáo toán học: " A Bijective Proof of Garsia’s q-Lagrange Inversion Theorem" pdf
Ngày tải lên :
07/08/2014, 06:22
... |C(D (T ))| − This completes the proof Let N be a height tree We denote by T ∨a N the tree obtained by replacing the ath external vertex of T in depth first order by N We will need the following result ... seek bijective proofs for identities such as these for the information they contain about trees in addition to partitions and Ferrers diagrams References [1] G E Andrews, The Theory of Partitions, ... then C (T ) is the height subtree of T consisting of the depthfirst occurring height-maximal internal vertex of T and its successors in T We will denote by D (T ) the tree derived from T by replacing...
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Báo cáo toán học: "Random Cayley graphs are expanders: a simple proof of the Alon–Roichman theorem" potx
Ngày tải lên :
07/08/2014, 08:20
... representation theory, and probability theory required for the statement of the theorem and the subsequent proof The exposition here is primarily for the purposes of setting down notation; we ... following analysis The first is the trivial representation 1, the one-dimensional representation that maps all elements of G to the identity operator on C The second is the regular representation ... some elementary group representation theory, we show that the log |G| term may be replaced with the term log D, where D is the sum of the dimensions of the irreducible representations of G The improvement...
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Báo cáo toán học: "A Simple Proof of the Aztec Diamond Theorem" potx
Ngày tải lên :
07/08/2014, 08:22
... well as the number of the required ntuples of non-intersecting large Schr¨der paths (see Proposition 2.1) Our proof of the o Aztec diamond theorem is completed by a bijection between domino tilings ... each step of the path is from the center of a domino edge (where a domino is regarded as having six edges of unit length) to the center of another edge of the some domino D, such that the step ... prove that the (1) (1) cardinalities of Πn and Ωn coincide with the determinants of Hn and Gn , respectively Following the same steps as [9, Theorem 5.1], a proof is given here for completeness...
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Báo cáo toán học: "Proof of an intersection theorem via graph homomorphisms" docx
Ngày tải lên :
07/08/2014, 13:21
... now can present the proof of the theorem Proof: First note that if p = 1/2 then p is the uniform measure and the theorem is trivial because if a vector in {0, 1}n belongs to I then the antipodal ... Next consider the graph H defined as follows The vertex set of H is the (continuous!) interval [0, 1] with the points and identified, i. e the circle There is an edge between two points x and y if ... all points in I that are not in C by their antipodal points can only decrease the diameter of the set hence will not spoil the independence Since I could not have contained any pair of antipodal...
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Báo cáo toán học: "On the Proof of a Theorem of P´lfy a" doc
Ngày tải lên :
07/08/2014, 13:21
... consisting of n /p blocks of size p, reducing this case to the imprimitive case above The result then follows by induction Acknowledgement: The author would like to thank Dave Witte Morris of the University ... composite, these are the only nontrivial cases) The doubly-transitive case was reduced by P lfy to the imprimitive case using a the fact that all doubly-transitive groups are known [2], which is ... Burnside group, by [3, Theorem 3.5A], we have that x, y is either doubly-transitive or imprimitive If x, y is imprimitive, admitting a complete block system B of m blocks of size k, then by [6, Lemma...
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Báo cáo toán học: "Orthogonal art galleries with holes: a coloring proof of Aggarwal’s Theorem" potx
Ngày tải lên :
07/08/2014, 13:21
... e- triangle Case 4: The number of i- triangles is odd, and the number of e- triangles is odd Then there is either an i- triangle ti or an e- triangle te that shares an edge with a complete subgraph graph of ... quadrilateralization of P whose dual graph is a cactus Then n+h vertex guards are always sufficient to see the entire interior of P It is worth pointing out that this result provides an alternate short proof ... of i- triangles is even, and the number of e- triangles is odd in G∗ Q This case can be proved in the same manner as above: we only have to consider an endpoint of the external edge of an e- triangle...
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Báo cáo toán học: "A quantitative ergodic theory proof of Szemer´di’s e theorem" pot
Ngày tải lên :
07/08/2014, 13:21
... by the language of ergodic theory In writing this paper we encountered a certain trade-off between keeping the paper brief, and keeping the paper well-motivated We have opted primarily for the ... we not require any familiarity with any of the other proofs of Szemer´di’s theorem, although we will of course discuss the relationship e between this proof and the other proofs extensively in ... by presenting the high-level proof of Theorem 2.4, implementing the abstract scheme outlined in the introduction One of the first tasks is to define measures of randomness and structure in the function...
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Báo cáo toán học: "A short proof of a theorem of Kano and Yu on factors in regular graphs" pot
Ngày tải lên :
07/08/2014, 13:21
... Hence the statement is valid in this case Case 2: Assume that r = 2m is even In view of Theorem 1, G has all regular even factors containing e or avoiding e, respectively Since G has a 1-factor ... z, the edges ux, vx, wy, zy, three parallel edges between u and v, three parallel edges between w and z and two parallel edges e and e connecting x and y Then G is a 4-regular graph, and G has ... avoiding e, respectively Case 1: Assume that r = 2m + is odd According to Theorem 1, the 2m-regular graphs G − E( F ) and G − E( Fe ) can be decomposed into 2-factors Thus there exist all even regular...
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Báo cáo toán học: "A Bijective Proof of a Major Index Theorem of Garsia and Gessel" doc
Ngày tải lên :
08/08/2014, 12:22
... a time, the letters being inserted in the reverse of their order of appearance in π (i. e. , if π = (π(1), , π(a)), then π(a) is inserted first and π(1) is inserted last) Note that every insertion ... descent set is any subset of Q By the combinatorial description above, this is precisely the set of all shuffles of q0 , , qt Applying the theorem of Gessel and Garsia to this set yields an especially ... equidistribution result as well Preliminaries This section introduces the terminology and notation that will be used in the remainder of the paper (aside from what has been defined in the introduction)...
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Báo cáo toán học: "An entropy proof of the Kahn-Lov´sz theorem a" ppsx
Ngày tải lên :
08/08/2014, 12:23
... involved in discovering that the value of X turned out to be x (measured on a logarithmic scale) In these terms H(X) is the expected surprise in learning the value of X The conditional entropy ... neighbors as potential partners in the matching The number of such potential partners turns out to be uniform on the possibilities, and the result follows the electronic journal of combinatorics 18 ... entropy proof of Br`gman’s theorem as a e consequence of his randomized version of the chain rule Although the argument is exactly that of Radhakrishnan, we believe that its presentation herein...
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English 7 Unit 7 The world of work 3.ppt
Ngày tải lên :
30/06/2013, 01:27
... American ones ? - Vietnamese students have fewer vacations than America students II Listen Write the name of the public holiday in each of the pictures Prediction a) c) b) d) Listen and check ... your letter I like hearing about how students live in Viet Nam I find it really interesting I think you have fewer vacations than American students Is that true? Our longest vacation is in the summer ... Answer the questions a What does Tim like? - Tim likes hearing about how students live in Viet Nam b Which American vacation is the longest? - Summer vacation is the longest in America (or the...
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Exercises of unit 3
Ngày tải lên :
21/07/2013, 01:26
... building else 72 She asked if I had passed the English test the week before a "Had you passed the English test the week before?" she asked b "Have you passed the English test the week before?" ... paper It is all right to point at things but not at people with the hand and index finger Americans shake their index finger at children when they scold them and pat them on the head when they ... careful as the steps were very slippery b I suggested being careful as the steps were very slippery c I threatened him to be careful and said the steps were very slippery d I told him be careful...
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solutions to exercises and problems of Introduction of algorithm 3 (Bài giải sách Introduction of algorithm )
Ngày tải lên :
02/11/2013, 08:12
... Chapter 8: Sorting in Linear Time Solution to Exercise 8.1-3 If the sort runs in linear time for m input permutations, then the height h of the portion of the decision tree consisting of the m ... doesn t point to any other entries), just free the slot, returning it to the head of the free list If x is in j but there’s a pointer to a chain of other elements, move the first pointed-to entry to ... When t is the finish time of some activity, move the activity’s hall from the busy list to the free list (The activity is certainly in some hall, because the event times are processed in order and...
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Think of Java 3
Ngày tải lên :
10/12/2013, 14:41
... www.BruceEckel.com member initialization, the order of initialization, static initialization and array initialization Chapter 5: Hiding the implementation This chapter covers the way that code is packaged ... functionality It’s nicer if we can take the existing data type, clone it and make additions and modifications to the clone This is effectively what you get with inheritance, with the exception that if ... part of the new object The interface of the new object has been extended, and the existing system doesn t know about anything except the original interface When you see the substitution principle...
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Tài liệu Golf and the game of leadership 3 ppt
Ngày tải lên :
24/12/2013, 16:15
... factors possess little potential for motivation They are expected If they are not provided, people will be unhappy and dissatisfied Provide them and people will not be happy and satisfied They will ... playing the game Well, most of the time! The game of leadership has the same potential for motivation as the game of golf Where is there greater opportunity to experience the motivation factors than ... leaders believe they have people skills and that they can use them to motivate others They cannot! What they can is attempt to establish a motivational environment that will, we hope, influence...
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