input in mathematical dialogs

... Springer. To appear. M. Wolska and I. Kruijff-Korbayov´a. 2004b. Lexical- Semantic Interpretation of Language Input in Mathematical Dialogs. In Proc. of the ACL Workshop on Text Meaning and Interpretation, ... embedded within a FORMULA in the Actor relation with respect to the head contain’] contain( , ) CONTAINMENT(container , containee ) [’the Containment relation involves a predicate contain and its ... [A gilt] CAUSE , alle x, die in A sind sind nicht in B [As A applies, all x that are in A are not in B] Wenn [A ] COND , dann A B= [If A , then A B= ] Da gilt, [alle x, die in A sind sind nicht in B] RES Wenn...

Ngày tải lên: 17/03/2014, 06:20

... A 1 )) ) is determined from v((¬A 1 )) and v((A 0 → 7 INTRODUCTION xi abstract models of computation in the 1930’s, including recursive func- tions, λ-calculus, Turing machines, and grammars 4 . ... β}β (9) {α ∧ β}α x INTRODUCTION plus some notion of how to interpret statements in the underlying lan- guage and determine their truth. The real fun lies in the relationship between interpretation ... compensate for having few or no axioms by having many rules of inference. 11 iv CONTENTS Hints for Chapters 10–14 101 Part IV. Incompleteness 109 Chapter 15. Preliminaries 111 Chapter 16. Coding First-Order...

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... of cruided inference in more detai 1 . 2. OPTIVAL DECISION APPLIED The basic characteristics of puided inference can at best be introduced by discussing its annlication within the framework ... capitals with zero, one or two indices in Figure 1. In classifica- tion it was necessary to nresent first a cue, also knwn through prior learn- ing, indicating the level, too medium or ... psychology. (Advances in psychology ; 20) Papers presented at the 14th European Mathematical Ssychology Group Meeting, held in Brussels, Sept. 12-14, 1983. Includes indexes. Psychometrics...

Ngày tải lên: 14/03/2014, 22:20

... and Pontryagin’s principle of optimality [Zelkina], but except for the entry of Brock–Dechert, in each of these it turns up in a passing and cursory way. And, in another search engine, extensive ... that in case when F w is proper uniformly in w in a neigh- borhood of a certain w, then the set F −1 w (y) may contain at most finitely many points. All said extends to the case of a mapping between ... the domain of F . In particular, the restriction of a single-valued mapping F to a subset Q ⊂ IR m can be viewed as a set valued mapping F | Q (x) =  F(x), if x ∈ Q; ∅, otherwise. whose domain is...

Ngày tải lên: 16/03/2014, 17:20

... the column vector obtained from C j by dislocating or displacing the elements one place downward in a cyclic manner, the last element in C j appearing as the first element in C ∗ j , that is, C ∗ j =  a nj a 1j a 2j ···a n−1,j  T . In ... represents a determi- nant in which row r =rowi, and if, in addition, s = j, then, in addition, row s =rowj. In either case, the determinant is zero. 34 3. Intermediate Determinant Theory The result ... is, C ∗ j =  a nj a 1j a 2j ···a n−1,j  T . In this particular case, Theorem 3.1 can be expressed in words as follows: Theorem 3.1a. Given an arbitrary determinant A n , form n other deter- minants by dislocating the elements in the...

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... ~en*s xiii 6.5 Inverse problems with singular overdetermination: semilinear equations with constant operation in the principal part 414 6.6 Inverse problems with smoothing overdetermination: quasilinear ... 438 6.7 Inverse problems with singular overdetermination: semilinear parabolic equations 449 6.8 Inverse problems with smoothing overdetermination: semilinear hyperbolic equations 458 6.9 Inverse ... transmitted in any form or by any means, electronic or mechanical, including photocopying, microfilming, and recording, or by any information storage and retrieval system, without permission in writing...

Ngày tải lên: 17/03/2014, 14:30

... R.Courant, D.Hilbert: Methods of Mathematical Physics [3] I.Rubinstein, L.Rubinstein: Partial differential equations in classical mathematical physics [4] F.Treves: Basic linear partial differential equations [5] ... forward propagator, since supp Z k ⊂ K. If the dimension n is even, the point λ = k = n/2 −1 is again a pole of the numerator and denominator in (9), as a consequence of which the support of Z k is contained in ... corresponding coordinates (ξ, τ) . We assume that m ≥ 2, therefore the interior integral converges without the auxiliary de- creasing factor exp (−ετ 2 ) . We can write the interior integral as...

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Ngày tải lên: 18/03/2014, 00:20

... forth- coming in Handbook of Financial Engineering (with J Y. Yen). 85. Self-decomposability and option pricing. Mathematical Finance, 17(1):31– 57, 2007 (with P. Carr, H. Geman, and M. Yor). 86. Probing ... setting. We begin by presenting sequential sampling and bridge sampling tech- niques for constructing sample paths of a VG process. Sequential sampling is called incremental path construction in ... albeit in an indirect way through Praetz, he nevertheless in uenced the genesis of the VG distribution. viii ANHA Series Preface for providing a means for centralizing and disseminating information...

Ngày tải lên: 24/03/2014, 04:20

... deter- mined by the intertwining relation d L = L 1 d. (2.7) Proof. Applying the differential d to the l.h.s. of (2.4), we get 0=d  ∂ ∂t + L −r  Φ φ . Using the commutation d ∂ ∂t = ∂ ∂t d and the intertwining ... t 0 , where J W ε t 0 ←t 0 = identity. Springer Finance Springer Finance is a programme of books aimed at students, academics and practitioners working on increasingly technical approaches to the analysis ... Risk: Modeling, Valuation and Hedging (2002) Bingham N.H. and Kiesel R., Risk-Neutral Valuation: Pricing and Hedging of Financial Derivatives (1998, 2nd ed. 2004) Brigo D. and Mercurio F., Interest...

Ngày tải lên: 24/03/2014, 04:20

... transforms for different versions of the DT including those containing integral operators is given in [324]; e.g., the Abelian lattice DT results in the Casorati determinants [314, 322]. The DT theory is ... application of the DTs in vortex and relativistic string problems initiated by the paper of Nahm [344]. In searching for alternative formulations of the method containing the prin- cipal ideas of ... of transformations of different kinds and in different contexts were introduced in [317] (see again [324]) un- der the name “binary.” The binary transformations in [317, 324] are a 2+1 construction...

Ngày tải lên: 28/03/2014, 10:20

... a number of investigations where carried out in the context of linear static inequalities, where the prob- lem of minimal representations of system s containing both equalities and inequalities ... problems in control of linear discrete multidimensional sys- tems Li Xu, Zhiping Lin, Jiang-Qian Ying, Osami Saito, Yoshihisa Anazawa 221 Problem 6.8. An open problem in adaptative nonlinear control ... K (s) denotes a stabilizing controller; u (s) denotes the control input; y (s) denotes the control input; d (s) denotes the disturbance and r (s) denotes the reference input. We shall denote the closed-loop...

Ngày tải lên: 29/03/2014, 23:20

... pattern emerging in a sequence of numbers; a point of coincidence found in a group of lines; a large change resulting from a small variation; a finite real thing proved by an infinite, possibly ... play an important role in motivating and sustaining inquiry. AESTHETIC IN MATHEMATICAL INQUIRY 281 nomenon, some experience which either disappoints an expectation, or breaks in upon some habit of ... in- evitability in mathematical entities. Rather, her aesthetic capacity relates to her sensibility in combining information and imagination when making purposeful decisions regarding meaning and pleasure....

Ngày tải lên: 30/03/2014, 16:20

... Benjamin–Ono Equation 281 6.9.1 Introduction 281 6.9.2 Three Determinants 282 6.9.3 Proof of the Main Theorem 285 6.10 The Einstein and Ernst Equations 287 6.10.1 Introduction 287 40 3. Intermediate ... Determinants with Prime Elements . . 232 5.8.6 Bordered Yamazaki–Hori Determinants — 2 232 5.8.7 Determinantal Identities Related to Matrix Identities 233 6 Applications of Determinants in Mathematical ... J ∗ =        A 22 A 32 A 24 A 34 A 21 A 31 1 A 23 A 33 1        , σAJ = |a ij | ∗ J ∗ 20 3. Intermediate Determinant Theory In the definition of rejecter and retainer minors, no restriction is made concerning the relative magnitudes of either the...

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