the intersection of finite

... yet; all the work has still to be done. 161 it reduces to checking whether the DCG derives one of a finite number of strings. Limit the DCG Another approach is to limit the size of the categories ... verify that the question whether the intersection of a word-graph and an off- line parsable DCG is empty or not is decidable since 163 The intersection of Finite State Automata and Definite Clause ... replace the usual string positions with the names of the states in the FSA. It is also straight- forward to show that the complexity of this process is cubic in the number of states of the FSA...

Ngày tải lên: 31/03/2014, 06:20

... yields the claim in (2.80). This completes the proof of Lemma 6. This completes the proof of Proposition 4 and hence of Theorem 1. 3. Proof of Theorem 2 In this section we indicate how the arguments ... second term on the right-hand side of the analogue of (2.93). 4. Proof of Theorem 3 In Sections 4–6 we prove Theorems 3–5. The proof follows the same line of reasoning as in [3, §5], but there are ... and generalization of the proof of Proposition 3 in [3]. We outline the main steps, while skipping the details. Step 1. One of the basic ingredients in the proof in [3] is to approximate the volume of the Wiener...

Ngày tải lên: 14/02/2014, 17:20

... Board of the National Research Council, whose members are drawn from the councils of the National Academy of Sciences, the National Academy of Engineering, and the Institute of Medicine. The ... did they see the final draft of the report before its release. The Acknowledgment of Reviewers Copyright © National Academy of Sciences. All rights reserved. Research at the Intersection of the ... Work at the intersection of the life sciences and the physical sciences has often been depicted in new ways of imaging or modeling biological specimens, some of which are illustrated on the cover:...

Ngày tải lên: 14/03/2014, 10:20

... can incorporate these correlations into the probability of default kD over the interval Y   D. To describe the dependence of the probability of default on the state of the economy, we use ... if the default free spot interest rate increases, keeping the value of the ®rm constant, the mean of the assetÕs probability distribution increases and the probability of default declines. As the ... if the put option trades in- the- money, the volatility of the corporate debt is sensitive to the volatility of the underlying asset. 9 Third, if the default free interest rate increases, the spread...

Ngày tải lên: 15/03/2014, 04:20

... chamber.                 ❍ ❍ ❍ ❍ ❍ ❆ ❆ ❆ ❆ ❆ ❅ ❅ ❅ ❅ ❅ ❅ ❅ ✘ ✘ ✘ ✘ ✘ ✘ ✘ ✘ ✘ ✘ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄       The Coxeter complex of type BC 3 is formed by all the mirrors of symmetry of the cube; here they are shown by their lines of intersection with the faces of the cube. Figure 3.2: The Coxeter ... that the maps r : z → z · e 2πi/n , t : z → ¯z, where ¯ denotes the complex conjugation, generate the group of symmetries of ∆. 2.3.8 Use the idea of the proof of Theorem ?? to find the orders of ... vector. 42 ✡ ✡ ✡ ✡ ✡ ❏ ❏ ❏ ❏ ❏ ❏ ❏ ❏ ❏ ❏ ✡ ✡ ✡ ✡ ✡ ✟ ✟ ✟ ✟ ✟ ✟ ✟ ✟ ✟ ✟ ✟ ✟ ✟ ✟ ✡ ✡ ✡ ✡ ✡ ✡ ✡ ✡ ✡ ❍ ❍ ❍ ❍ ❍ ❍ ❍ ❍ ❍ ❏ ❏ ❏ ❏ ❏ ❏ ❏ ❏ ❏ ❏ ❏ ❏❪ ❏ ❏ ❏❫ s ✻ ❄ t A BC The group of symmetries of the regular n-gon ∆ is generated by two reflections s and t in the mirrors passing through the midpoint and a vertex of a side of ∆. Figure 2.7: For the proof of Theorem...

Ngày tải lên: 31/03/2014, 16:16

... contraction, and the proof is complete. In the following theorem, which is the main result in this section, we establish the strong convergence of the sequence defined by 1.8. Theorem 3.2. Let ... improve some of the conditions and results in the mentioned papers, especially those of Song and Xu 11. 2. Preliminaries Let S : {x ∈ X : x  1} be the unit sphere of the Banach space X. The space ... see 15. References 1 I. Yamada, The hybrid steepest-descent method for the variational inequality problem of the intersection of fixed point sets of nonexpansive mappings,” in Inherently...

Ngày tải lên: 21/06/2014, 11:20

... on the two aforementioned phenomena: the effects of finite word length for the weights of the NN used for the classification, and the effects of the simplification of the activation functions of the ... Centroid. The spectral centroid of the ith frame can be associated with the measure of brightness of the sound, and is obtained by evaluating the center of gravity of the spectrum. The centroid ... used to represent the 2’s complement of the integer portion of the number, (iii) y designates the number of bits used to represent the 2’s complement of the fractional part of such number. For...

Ngày tải lên: 21/06/2014, 20:20

... sufficient evidence for the identification of that constituent; e.g., if the leftmost daughter is either the specifier or the head of that constituent in the sense of Jacken- doff (1977). Third, ... CFPSG. The first set is explicitly designed to preserve the property of noncenter-embedding. The second is designed to maximize the use of prefixes on the basis of being able to predict the identity ... > of S. P2 ~ ~in, on, ] Among the expressions generated by the extended grammar G2 are those in E3. (E3) a. the boss knew that the teacher saw the child yesterday b. the friend of the...

Ngày tải lên: 08/03/2014, 18:20

... ‘working toward the assemblage of the verbal self – in symbiosis with the other assemblages of the emergent self – and thereby inaugurating a new mastery of the object, of touch, of a spatiality. ... from the impasses of the present, or, simply, belies the very presence of the infinite within the finite. However, as we have seen, the rupturing of given signifying regimes is only one of the gestures ... character of the texture of these incorporeals’) and the actual (the ‘discursive finitude of energetico-spatio-temporal Fluxes and their propositional correlates’) is unclear, but the manner of this...

Ngày tải lên: 30/03/2014, 11:20

... The cost of a path in a WFST is the product (⊗) of the initial weight of the initial state, the weight of all the tran- sitions, and the final weight of the final state. When several paths in the ... paths in the WFST match the same relation, the total cost is the sum (⊕) of the costs of all the paths. In NLP, the tropical semi-ring (R + ∪ {∞}, min, +, ∞, 0) is very often used: weights are ... paths match the same relation, the total cost is the cost of the path with minimal cost. The following discussion will apply to any semi-ring, with examples using the tropical semi-ring. 2 The Equivalence...

Ngày tải lên: 31/03/2014, 03:20

... completes the proof of Theorem 2.  4. Smoothness of the intersection local time In this section, we consider the smoothness of the intersection local time. Our main object is to explain and prove the ... Existence of the intersection local time The aim of this section is to prove the existence of the intersection local time of S H and  S H , for an H = 1 2 and d ≥ 2. We have obtained the following ... facts for the chaos expansion. In Section 3, we study the existence of the intersection local time. In Section 4, we show that the intersection local time is smooth in the sense of the Meyer-Watanabe...

Ngày tải lên: 18/06/2014, 15:20

... 0. This completes the proof. □ 5. Regularity of the intersection local time The main object of this section is to prove the next theorem. Theorem 9. Let Hd <2. Then, t he intersection local ... completes the proof of Theorem 2. □ 4. Smoothness of the intersection local time In this section, we consider the smoothness of the intersectio n local time. Our main object is to explain and prove the ... facts for the chaos expansion. In Section 3, we study the existence of the intersection lo cal time. In Section 4, we show that the intersection local time is smooth in the sense of the Meyer-Watanabe...

Ngày tải lên: 20/06/2014, 23:20

... n), and the proof is complete. The following theorem deals with the continuous dependence of the solution of (26) and (27) on the functions F 1 , F 2 and the initial value f (m), g(n). Theorem ... g(m, n) ≡ 0, q =1,p ≥ 1, then Theorem 2.1 reduces to [[13], Theorem 1]. Following a similar process as the proof of Theorem 2.1, we have the following three theorems. Theorem 2.2.Supposeu, a, ... is decreasing in the second variable” in Theorem 2.5, then Theorem 2.5 reduces to [[14], Theorem 7]. Furthermore, if g(m, n ) ≡ 0, q =1,p ≥ 1, then Theorem 2.5 reduces to [[13], Theorem 3]. Following...

Ngày tải lên: 21/06/2014, 02:20

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