Satisfiability problem

Hanoi Open Mathematical Olympiad 2006 Junior Section, Sunday, 9 April 2006 Q1. What is the last two digits of the number (11 + 12 + 13 + · · · + 2006)2 ? Q2. Find the last two digits of the sum 200511 + 200512 + · · · + 20052006 . Q3. Find the number of diﬀerent positive integer triples (x, y, z) satisfying the equations x2 + y − z = 100 and x + y 2 − z = 124. Q4. Suppose x and y are two real numbers such that x + y − xy = 155 Find...
16p sarahhottest 08042013 185 31 Download

We prove that if f (x) = n−1 ak xk is a polynomial with no cyclotomic k=0 factors whose coeﬃcients satisfy ak ≡ 1 mod 2 for 0 ≤ k 1 + log 3 , 2n resolving a conjecture of Schinzel and Zassenhaus [21] for this class of polynomials. More generally, we solve the problems of Lehmer and Schinzel and Zassenhaus for the class of polynomials
21p noel_noel 17012013 23 5 Download

To track the dynamic of continuity and change since 1960, it’s conventional to start by looking at the ﬁlm industry. As usually recounted, the indus try’s fortunes over the period display a darknesstodawn arc that might satisfy a scriptwriter of epic inclinations.We now have several nuanced ver sions of this story, so I’ll merely point out some major turning points. 1 The appendix provides a yearbyyear chronology.
6p hongphuocidol 03042013 21 6 Download

satisfy boundary conditions at more than one value of the independent variable, the resulting problem is called a two point boundary value problem. As the terminology indicates, the most common case by far is where boundary conditions are supposed
5p babyuni 17082010 42 4 Download

ON BOUNDARY VALUE PROBLEMS FOR SECONDORDER DISCRETE INCLUSIONS ´ PETR STEHLIK AND CHRISTOPHER C. TISDELL Received 8 October 2004 We prove some existence theorems regarding solutions to boundary value problems for systems of secondorder discrete inclusions. For a certain class of righthand sides, we present some lemmas showing that all solutions to discrete secondorder inclusions satisfy an a priori bound. Then we apply these a priori bounds, in conjunction with an appropriate ﬁxed point theorem for inclusions, to obtain the existence of solutions.
11p sting12 10032012 21 4 Download

EXISTENCE OF A POSITIVE SOLUTION FOR A pLAPLACIAN SEMIPOSITONE PROBLEM MAYA CHHETRI AND R. SHIVAJI Received 30 September 2004 and in revised form 13 January 2005 We consider the boundary value problem −∆ p u = λ f (u) in Ω satisfying u = 0 on ∂Ω, where u = 0 on ∂Ω, λ 0 is a parameter, Ω is a bounded domain in Rn with C 2 boundary ∂Ω, and ∆ p u := div(∇u p−2 ∇u) for p 1. Here, f : [0,r] → R is a C 1 nondecreasing function for some r 0 satisfying f...
5p sting12 10032012 18 3 Download

This has given rise to concerns about oil palm expansion contributing to the loss of biodiversity, greenhouse gas emissions, and social conflict due to a fail ure to recognize local land rights.With expected further increases in palm oil demand, directing plantation expansion away from standing forest toward degraded grassland areas will be important. Estimates suggest that the area available under these degraded areas is at least double what is needed to satisfy increased demand over the next decade.
34p enterroi 02022013 14 3 Download

Can these two images be reconciled? How to do we blend Zen and the underlying wisdom it represents with project management and its quest for satisfying people and organizations with valuable outcomes within time and cost constraints? Blending Zen and project management enables us to more effec tively manage projects to get the results we want, when we want them, for the price we expect to pay. This is the outer work—perfecting the form and perfecting its results.
15p lenh_hoi_xung 21022013 26 3 Download

With combined power and heat generation (cogeneration) the waste heat incurred during engine operation is recovered and utilized to satisfy thermal system process requirements for low grade steam and/or hot water. In many cases this utilization of waste heat results in overall systems of efficiencies of up to 90+% (thermal + electrical). This efficient form of energy conversion is able to achieve primary energy savings of about 40% using gas engine cogeneration systems, compared with conventional separate power and heat generation.
22p loixinloi 08052013 31 3 Download

Morphological analysis must take into account the spellingchange processes of a language as well as its possible configurations of stems, affixes, and inflectional markings. The computational difficultyof the task can be clarified by investigating specific models of morphological processing. The use of finitestate machinery in the "twolevel" model by K i m m o Koskenniemi gives it the appearance of computational efficiency, but closer examination shows the model does not guarantee efficient processing.
7p bungio_1 03052013 23 2 Download

The computational difficultyof the task can be clarified by investigating specific models of morphological processing. The use of finitestate machinery in the "twolevel" model by K i m m o Koskenniemi gives it the appearance of computational efficiency, but closer examination shows the model does not guarantee efficient processing. Reductions of the satisfiability problem show that finding the proper lexical/surface correspondence in a twolevel generation or recognition problem can be computationally difficult.
5p bungio_1 03052013 9 1 Download

Taken abstractly, the twolevel (Kimmo) morphological framework allows computationally difficult problems to arise. For example, N + 1 small a u t o m a t a are sufficient to encode the Boolean satisfiability problem (SAT) for formulas in N variables. However, the suspicion arises that naturallanguage problems may have a special structure  not shared with SAT   that is not directly captured in the twolevel model. In particular, the natural problems may generally have a modular and local nature that distinguishes them from more "global" SAT problems.
8p bungio_1 03052013 20 1 Download

This paper investigates the complexity of the satisfiability problem for feature logics strong enough to code entire grammars unaided. We show that feature logics capable of both enforcing reentrancy and stating linguistic generalisations will have undecidable satisfiability problems even when most Boolean expressivity has been discarded. We exhibit a decidable fragment, but the restrictions imposed to ensure decidability render it unfit for standalone use.
7p buncha_1 08052013 34 1 Download

Outline: Problemsolving agents, Problem types, Problem formulation, Example problems, Basic search algorithms. Replace letters by numbers from 0 to 9 such as no different letter is replaced by the same number and satisfying the following constraint.
17p lalala06 02122015 5 1 Download

Lecture Algorithm design  Chapter 8 "Intractability II" include all of the following: Decision problems, definition of P, certifiers and certificates: composite, certifiers and certificates: 3satisfiability, certifiers and certificates: Hamilton path, definition of NP,...and another content.
67p youcanletgo_03 14012016 9 1 Download

In computational complexity theory, PSPACE is the set of all decision problems that can be solved by a Turing machine using a polynomial amount of space. In this chapter will introduce PSPACE with a number of content: PSPACE complexity class, quantified satisfiability, planning problem, PSPACEcomplete.
23p youcanletgo_03 14012016 7 1 Download

Chapter 4: Understanding consumer behavior. In this chapter, you learned to: Describe the stages in the consumer purchase decision process; distinguish among three variations of the consumer purchase decision process: routine, limited, and extended problem solving; identify major psychological influences on consumer behavior; identify major sociocultural influences on consumer behavior.
40p estupendo5 24082016 6 1 Download

Econometricians, as well as other scientists, are engaged in learning from their experience and data  a fundamental objective of science. Knowledge so obtained may be desired for its own sake, for example to satisfy our curiosity about aspects of economic behavior and/or for use in solving practical problems, for example to improve economic policymaking. In the process of learning from experience and data, description and generalization both play important roles.
112p phuonghoangnho 23042010 256 146 Download

Ever since Java programmers have downloaded their first virtual machine, their ears have been glued to the ground, constantly on the lookout for tips and tricks for using the latest Java APIs. After all, there's nothing quite as satisfying as grasping a new technique for solving a common programming problem. Remember the first time you learned the power of ModelViewController (MVC), or developed your first singleton class? It was clear that someone out there had thought through the same problems you were having and, best of all, developed a solution that worked....
314p vantrungtran 03022010 128 30 Download

CHAPTER SEVEN INTRODUCTION TO RISK, RETURN, AND THE OPPORTUNITY COST OF CAPITAL WE HAVE MANAGED to go through six chapters without directly addressing the problem of risk, but now the jig is up. We can no longer be satisfied with vague statements
34p thegun16 26112010 70 23 Download