some aptitude questions with solutions

... theory with applications to differential equations. CBMS Reg Cof Ser Math. 65 (1986) doi:10.1186/1687-2770-2011-18 Cite this article as: Qian: Sign-changing solutions for some nonlinear problems with ... elliptic equation with strong resonance. Nonlinear Anal TMA. 66, 1885–1898 (2007). doi:10.1016/j.na.2006.02.046 6. Su, JB, Zhao, LG: An elliptic resonant problem with multiple solutions. J Math ... M k )-1distinctpairsof sign-changing solutions (M j denotes the eigenspace corresponding to l j ). Remark 1.2 In the article [1] , they only show the existence of solutions to problem (1.3), while we obtain its sign-changing solutions...

Ngày tải lên: 21/06/2014, 00:20

... to deal with such questions are called opinion QA systems. Re- searchers (Stoyanov et al., 2005) have found that opinion questions have very different character- istics when compared with fact-based ... also like to know about others’ opinions, thoughts and feelings toward some specific objects, people and events. Some examples of these questions are: “How is Bush’s decision not to ratify the Kyoto Protocol ... pages 737–745, Suntec, Singapore, 2-7 August 2009. c 2009 ACL and AFNLP Answering Opinion Questions with Random Walks on Graphs Fangtao Li, Yang Tang, Minlie Huang, and Xiaoyan Zhu State Key...

Ngày tải lên: 20/02/2014, 07:20

... measurable. (ii) For every ε > 0, there exists an closed set C E with à L (E \ C) ≤ ε. (iii) There exists a F σ -set F ⊂ E with à L (E \ F ) = 0. Problem 18 Let Q be the set of all rational ... interval (a − 1, a) intersects E since E is dense. Pick some r 1 ∈ E ∩(a − 1, a). Now the interval (r 1 , a) intersects E for the same reason. Pick some r 2 ∈ E ∩(r 1 , a). Repeating this process, we ...  www.MATHVN.com - Anh Quang Le, PhD www.MathVn.com - Math Vietnam MEASURE and INTEGRATION Problems with Solutions Anh Quang Le, Ph.D. October 8, 2013 30 CHAPTER 2. LEBESGUE MEASURE ON R Solution (a)...

Ngày tải lên: 23/02/2014, 19:32

... 51 st International Mathematical Olympiad Astana, Kazakhstan 2010 Problems with Solutions 10 We turn to the problem. First, suppose that g(k) = g(ℓ) for some k, ℓ ∈ N. Then by Lemma we have that k − ℓ is divisible ... attains the finite number of values; therefore it is constant from some index. Thus, the sequence (b n ) is periodic with period ℓ from some index N, which means that b n = b n−ℓ = b n−ℓ + b ℓ for ... and N, with ℓ ≤ s and such that a n = a ℓ +a n−ℓ for all n ≥ N. Solution 1. First, from the problem conditions we have that each a n (n > s) can be expressed as a n = a j 1 + a j 2 with j 1 ,...

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Ngày tải lên: 13/11/2014, 09:22

... investigate the existence of infinitely many periodic solutions for some nonautonomous second-order differential systems with p (t )-Laplacian. Some multiplicity results are obtained using critical ... 2011:33 http://www.boundaryvalueproblems.com/content/2011/1/33 Page 10 of 15 RESEARC H Open Access Infinitely many periodic solutions for some second-order differential systems with p(t)- Laplacian Liang Zhang, Xian Hua Tang * and Jing Chen * Correspondence: mathspaper@126.com School ... (1986) doi:10.1186/1687-2770-2011-33 Cite this article as: Zhang et al.: Infinitely many periodic solutions for some second-order differential systems with p(t)-Laplacian. Boundary Value Problems 2011 2011:33. Submit your...

Ngày tải lên: 20/06/2014, 22:20

... factors aiding children with asthma to recover or improve over the years. The multiple lo- gistic analyses revealed four significant and inde- pendent factors associated with this event. They ... children with a medical record of asthma (25). Even in our investigation there seems to be a similar low concordance when comparisons are made of the occurrence of clinically diagnosed asthma with ... pharmaceuti- cals are notable, leaving us with a set of established diagnosis as the dependant data of the study. How- ever, according to current classification (26), some of the NA cases would today...

Ngày tải lên: 26/10/2012, 09:48

... respond to questions. The questionnaire is designed in three degrees in terms of status: one responds with someone of higher status, one with someone of lower status and one with someone of ... Types to Questions by Native speakers of English and Native Speakers of Vietnamese In the situations, we deal with response patterns between someone of a high status (a manager) and someone ... English and Vietnamese, the speaker often uses some “rhetorical questions : “Do chickens have lips?”/ “Who understands Piaget?”/ “Why is the sky blue?” or some expressions, such as “War is War”/ “Boy...

Ngày tải lên: 07/11/2012, 14:54

... business with import and export petrolimex Asphalt products, in the short term, concluded 3 main sectors : lubricant , chemical, asphalt fields and some sectors related to them. - Doing business with ... has to directly run business operation. 3.6. Other solutions To improve effectivelly of working capital management, the company should put some measures below into practice - To increase awareness ... Doing business with services related to : Shipping, stocks, mixtrure, alnalysis, consultancy and technical services. - In the coming time, the company will take part in doing business with buildings...

Ngày tải lên: 01/12/2012, 10:21

... Course 17 – English Teaching Methodology 3 Some difficulties in reading lessons of students at Sao Viet centre and some suggested solutions. 2.1. Research questions: - What are the difficulties that ... Course 17 – English Teaching Methodology 4 Some difficulties in reading lessons of students at Sao Viet centre and some suggested solutions. 2.1. Research questions: 14 2.2. Research setting 15 2.3. ... English Teaching Methodology 11 Some difficulties in reading lessons of students at Sao Viet centre and some suggested solutions. Part I: introduction Nowadays, with the tendency of globalization...

Ngày tải lên: 10/04/2013, 10:36

... was down to 0.02 in comparison with 2006. Throughout analyses, showing the utilization of working capital in 2007 has more efficient than 2006. 2.2.2.6. Several solutions to improve efficiently ... conveniently in line with business character. 2.2.2.7. Hardly existed on working capital management activities Firstly, materials were imported, it still meet greartest difficult with import activities ... Doing business with services related to : Shipping, stocks, mixtrure, alnalysis, consultancy and technical services. - In the coming time, the company will take part in doing business with buildings...

Ngày tải lên: 25/04/2013, 14:45

Ngày tải lên: 25/07/2013, 11:20

... Prepare some questions to foster a class discussion. 2 Instructor Notes Module 9: Designing Solutions with Microsoft Technologies Materials and Preparation This section provides you with ... examples from your own experience. 4. Prepare some questions to foster a class discussion. 4 Instructor Notes Module 9: Designing Solutions with Microsoft Technologies Activity 9.3: ... Security Models Instructor Notes Module 9: Designing Solutions with Microsoft Technologies Introduction This module provides students with an overview of selecting specific Microsoft đ technologies...

Ngày tải lên: 18/10/2013, 18:15

... then at the same rate of creation there would some have been some 1,500 creations since the beginning of the Cambrian. 9 This raised some difficult questions. Why did God create/design a succes- sion ... naturalistic way, without invok- ing God. Privately, he invoked God for some libertarian interventions. In some (barely legible) notes on the Deluge made during the early 1820s, 34 he grappled with the ... would. Intelligent Design results in some of Creation being designedly created, whereas the rest is undesignedly created. We end up with a two-tier Creation, with some life systems, which are due...

Ngày tải lên: 01/11/2013, 07:20

... articles. 110 Questions 5 5.1 YES/NO QUESTIONS ã Short Answers 1 ã Short Answers 2 ã Are You the One? ã Human Bingo ã Twenty Questions 1 ã Twenty Questions 2 5.2 INFORMATION QUESTIONS ã Board ... INFORMATION QUESTIONS AND/OR YES/NO QUESTIONS ã Question Order ã Whats the Question 1? ã Whats the Question 2? ã Question and Answer Practice ã Answering Ads 5.4 TAG QUESTIONS ã Tag Questions ... until someone gives you a yes answer. 126 â 1997 Prentice Hall Regents. Duplication for classroom use is permitted. Fun with Grammar Worksheet 38: TAG QUESTIONS Write the missing tag questions...

Ngày tải lên: 01/11/2013, 15:20