... out explicitly for the first time here The key for designing proof machines for classes of identities is that of finding a canonical form, or failing this, finding at least a normal form 1.2 Canonical ... Canonical and normal forms 1.2 Canonical and normal forms Canonical forms Given a set of objects (for example, people), there may be many ways to describe a particular object For example “Bill Clinton” ... prefers canonical forms might remark that rational numbers have a canonical form: a/b with a and b relatively prime So another algorithm for proving A = B is to compute normal forms for both A and...
Ngày tải lên: 20/12/2013, 19:15
... 2.1 2.2 2.3 Problems for Equations Problems for Equations of Hyperbolic Type Inverse problems for x-hyperbolic systems Inverse problems for t-hyperbolic systems Inverse problems for hyperbolic ... 8.2 8.3 Problems for Equations of Second Order Cauchy problem for semilinear hyperbolic equations Two-point inverse problems for equations of hyperbolic type Two-point inverse problems for equations ... Inverse problems for equations in a Banach space correspond to abstract forms of inverse problems for partial differential equations The methodof differential equations in a Banachspace for investigating...
Ngày tải lên: 17/03/2014, 14:30
Báo cáo hóa học: " Research Article Some Iterative Methods for Solving Equilibrium Problems and Optimization Problems" potx
... Preliminaries For solving the equilibrium problem for a bifunction F : C × C → R, let us assume that F satisfies the following conditions: A1 F x, x for all x ∈ C; A2 F is monotone, that is, F x, y A3 for ... for all x ∈ C, for a constant κ > 1; then, T is relaxed μ, ν -cocoercive and Lipschitz continuous Especially, T is ν-strong monotone Proof Since T x κx, for all x ∈ C, we have T : C → C For for ... fixed-point formulation has been used to suggest the following iterative scheme For a given u0 ∈ C, un PC un − λAun , n 1, 2, , 1.6 which is known as the projection iterative method for solving...
Ngày tải lên: 21/06/2014, 07:20
Báo cáo hóa học: " Research Article A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings" pptx
... following conditions: A1 Φ x, x for all x ∈ C; A2 Φ is monotone, that is, Φ x, y Φ y, x ≤ for all x, y ∈ C; A3 For all x, y, z ∈ C, limΦ tz − t x, y ≤ Φ x, y ; t↓0 1.2 A4 For each x ∈ C, y → Φ x, y ... Therefore, by Lemma 2.3, we have limn → ∞ xn − xn This completes the proof Lemma 3.3 If the following conditions hold: lim λn n→∞ ∞ 0, λn ∞ ∞, n then lim xn − uin n→∞ n for each i Proof For any ... zn − p F p 3.17 for each i 1, 2, , m Note that < γi < for i 1, 2, , m From the assumptions, Lemma 3.2, and the previous inequality, we conclude that uin − xn → as n → ∞ for each i 1, 2,...
Ngày tải lên: 21/06/2014, 11:20
Báo cáo hóa học: "Research Article A Hybrid Extragradient Viscosity Approximation Method for Solving Equilibrium Problems and Fixed Point Problems of Infinitely Many " pptx
... Iterative methods for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 21–24 and the references therein Convex minimization problems have ... is the optimality condition for the minimization problem x∈F S ∩EP F Ax, x − h x , 1.21 where h is a potential function for γf i.e., h x γf x for x ∈ H Furthermore, for finding approximate common ... ρ ≤ A −1 Then I − ρA ≤ − ργ For solving the equilibrium problem for a bifunction F : C × C → R, let us assume that F satisfies the following conditions: A1 F x, x for all x ∈ C; A2 F is monotone,...
Ngày tải lên: 21/06/2014, 20:20
Báo cáo hóa học: " A strong convergence theorem on solving common solutions for generalized equilibrium problems and fixed-point problems in Banach space" pptx
... for equilibrium problems and optimization problems J Syst Sci Complex 2009, 22:503-517 Ceng LC, Al-Homidan S, Ansari QH, Yao JC: An iterative scheme for equilibrium problems and fixed point problems ... − γ for all x, y Î U with ||x - y|| ≥ ε; to be smooth if the limit lim t→0 ||x + ty|| − ||x|| t (2:1) exists for every x, y Î U; to be uniformly smooth if the limit (2.1) exists uniformly for ... extragradient method for mixed equilibrium problems and fixed point problems Math Comput Model 2009, 49:1816-1828 Peng JW, Yao JC: A viscosity approximation scheme for system of equilibrium problems, nonexpansive...
Ngày tải lên: 21/06/2014, 01:20
báo cáo hóa học: " The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasij-nonexpansive mappings" potx
... (1:8) The above formulation (1.6) was shown in [1] to cover monotone inclusion problems, saddle point problems, variational inequality problems, minimization problems, optimization problems, variational ... δ (ε) ≥ cεp for all ε Î [0, 2]; see [21,22] for more details Observe that every p-uniformly convex is uniformly convex One should note that no Banach space is p-uniformly convex for < p
Ngày tải lên: 21/06/2014, 02:20
báo cáo hóa học: " An improved spectral homotopy analysis method for solving boundary layer problems" potx
... higher-order approximations fi,m(ξ) for m ≥ 1, can be obtained through the recursive formula (2.33) The solutions for fi are then generated using the solutions for fi, m as follows: fi = fi,0 + ... proposed an ISHAM for solving general nonlinear differential equations This novel technique was compared against both numerical approximations and the MATLAB bvp4c routine for solving Falkner-Skan ... article as: Motsa et al.: An improved spectral homotopy analysis method for solving boundary layer problems Boundary Value Problems 2011 2011:3 Submit your manuscript to a journal and benefit from:...
Ngày tải lên: 21/06/2014, 02:20
Subspace based inversion methods for solving electromagnetic inverse scattering problems
... two equations as our forward problem model for solving the electromagnetic inverse scattering problems, for both point-like scatterers and extended scatterers The method for solving of these two ... consist two parts: methods for solving EISPPLS and methods for solving EISP-ES, both of which are on the basis of the concept of subspace The subspace-based methods for solving EISP-PLS are introduced ... inverse scattering problems for point-like scatterers is presented Second, the inversion technique based on EFIE for solving the electromagnetic inverse scattering problems for extended scatterers...
Ngày tải lên: 14/09/2015, 08:39
Design and analysis of algorithms for solving a class of routing shop scheduling problems
... were also developed for two multi-machine scheduling problems, open shop scheduling problems and routing open shop scheduling problems New neighborhood structures were defined for the two multimachine ... improvement for problems with different characteristics 80 Figure 4.6 Average number of improvements for problems with different characteristics 80 Figure 4.7 Average computation time for ... only on information found in the neighborhood of the current solution Constraint programming (CP) is a relatively new technique for solving combinatorial optimization problems in the computer...
Ngày tải lên: 14/09/2015, 14:07
A hybridized approach for solving group shop problems (GSP)
... Approach for Solving Group Shop Problems 2.7 Local Search As most scheduling problems are NP -hard in nature, the use of approximate methods has been a popular approach for solving scheduling problems ... Job Shop Problems (JSP) (Fisher and Thompson, 1963), Mixed Shop Problems (MSP) (Masuda et al., 1985) and Open Shop Problems (OSP) (Rock and A Hybridized Approach for Solving Group Shop Problems ... approaches for solving GSP problems In the literature, most researchers tend to focus on making tactical improvements to existing meta-heuristics for solving specific shop scheduling problems While...
Ngày tải lên: 16/09/2015, 12:42
Design and analysis of algorithms for solving some stochastic vehicle routing and scheduling problems
... DESIGN AND ANALYSIS OF ALGORITHMS FOR SOLVING SOME STOCHASTIC VEHICLE ROUTING AND SCHEDULING PROBLEMS By TENG SUYAN (B.ENG M.ENG.) A THESIS SUBMITTED FOR THE DEGREE OF DOCTOR OF PHILOSOPHY ... upper bound To evaluate the performance of the heuristics, for small size problems with long service time, the heuristics are compared against the upper bound; for other cases, they are compared ... 4.6 Average performance with the increase of problem size 4.7 Average performance with the increase of demand mean and variance 5.1 Denotations for heuristic HA2 5.2 Denotations for heuristic...
Ngày tải lên: 17/09/2015, 17:19
Heuristic algorithms for solving a class of multiobjective zero one programming problems
... important for solving biobjective integer programming problems in the sense that it delimitates the nondominated frontier and hence reduce the search space This concept is also helpful for solving problems ... effective for solving these classes of problems These methods can also be extended to other multiobjective zero-one programming problems, especially the other members from the family of the knapsack problems ... programming problems Approximate approaches are widely accepted in solving real world problems, especially when the problem size is large One reason for this lies in the fact that the model formulated...
Ngày tải lên: 07/10/2015, 10:18
Mathematical methods for solving equilibrium, variational inequality and fixed point problems
... For finding a common solution of an equilibrium problem and a fixed point problem, the strategy is to combine a method for solving equilibrium problems with a method for solving fixed point problems ... y) = i=1 2.5.2 Solution methods for solving equilibrium problems For our purpose in the next chapters, we recall some well-known solution methods for equilibrium problems in this subsection Other ... optimization problems, saddle-point problems, variational inequalities (monotone or otherwise), Nash equilibrium problems, complementarity problems, fixed point problems, and other problems of...
Ngày tải lên: 21/05/2016, 22:17
Building C++CLI Programs for the .NET Developer Platform with Visual C++
... cross-compiler) for that architecture Visual C++ 2005 ships cross-compilers for x64 and Intel Itanium architectures, so you can generate code on an x86 computer that will execute natively on a 64-bit computer ... CLR will run the same platform-neutral assemblies compiled with /clr:safe, natively on the x64 architecture If the x64 CLR is not available (for example if the 64-bit computer has only a 32-bit ... C++/CLI PROGRAMS When compiling for 64-bit, there are some potential incompatibilities, since the size of a pointer is different, and so on You can compile with the /Wp64 option to get warnings for...
Ngày tải lên: 05/10/2013, 07:20
Grammar And Usage For Better Writing - Problems with Capitalization
... _g with my homework _ Final E Before Consonant Keep final silent e before a suffix beginning with a consonant amazement, atonement, hopeful, fortunately, useful Exceptions: acknowledgment, ... realize before dropped knew really believe embarrass knowledge receive benefit enough library recommend boundary every lightning resistance break exception maintenance rhythm continued PROBLEMS ... 222 C O M M O N U S AG E E R RO R S 15 I hope my cold dis _p _ears before the class trip _ 16 I’ve been stud _ng for the test since march _ 17 Does every rule have an ex _ption?...
Ngày tải lên: 23/10/2013, 13:20
Grammar And Usage For Better Writing - Problems with Nouns
... waited for my mother to come home present SAME TENSE: I lose my keys and wait for my mother to come home present SAME TENSE: present I lost my keys and waited for my mother to come home past PROBLEMS ... (have) written Forms of have and of be and are often used as helping verbs: has left, were chosen, agree PROBLEMS WITH VERBS 179 EXERCISE In each sentence, underline the correct form of the verb ... is, unfortunately, irregular These are the present tense forms: First Person: Second Person: Third Person: I am we are you are you are he, she, it is they are These are the past tense forms:...
Ngày tải lên: 23/10/2013, 13:20
Grammar And Usage For Better Writing - Problems with Pronouns
... underline the correct form of the pronoun (either subject or object) in parentheses (Her, She) and her tennis partner will travel to Cleveland for the match Mom prepared a hot dinner for Dad and (I, ... underline the correct possessive pronoun form in parentheses The idea for improving the lunchroom is (theirs, their’s) The Joneses own the Honda; (ours, our’s) is the Ford (Its, It’s) starting to rain—cover ... asked are you trying out for the team Work is the best method devised for killing time said William Feather Education is what remains said Lord Halifax when we have forgotten all that we have...
Ngày tải lên: 23/10/2013, 13:20
Grammar And Usage For Better Writing - Problems with Sentence Structure
... his gear for the rafting adventure SENTENCE: Jaleel packed his gear for the rafting adventure SENTENCE: Packing his gear for the rafting adventure, Jaleel threw in a change of clothes For how ... does he care for spinach (To identify subject and verb, mentally arrange the sentence in subject-verb order: “he does care for spinach.”) EXERCISE Combine each pair of sentences to form a good ... clothes? He used his computer to make party invitations When buses are delayed, students are usually late for school 10 Disneyland and Hollywood are popular places to visit in California EXERCISE...
Ngày tải lên: 23/10/2013, 13:20