Mathematical questions

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  • The William Lowell Putnam Mathematical Competition is the premier undergraduate mathematical competition in North America. This volume contains problems from the years 1985-2000, with solutions and extensive commentary. It is unlike the first two Putnam volumes and unlike virtually every other problem-based book, in that it places the problems in the context of important mathematical themes. The authors highlight connections to other problems, to the curriculum, and to more advanced topics.

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  • Hanoi Mathematical Society Hanoi Open Mathematical Olympiad 2010 Junior Section Sunday, 28 March 2010 08h45-11h45 Important: Answer all 10 questions. Enter your answers on the answer sheet provided. For the multiple choice questions, enter only the letters (A, B, C, D or E) corresponding to the correct answers in the answer sheet. No calculators are allowed.

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  • Hanoi Mathematical Society Hanoi Open Mathematical Olympiad 2010 Senior Section Sunday, 28 March 2010 08h45-11h45 Important: Answer all 10 questions. Enter your answers on the answer sheet provided. For the multiple choice questions, enter only the letters (A, B, C, D or E) corresponding to the correct answers in the answer sheet. No calculators are allowed. Q1. The number of integers n ∈ [2000, 2010] such that 22n + 2n + 5 is divisible by 7, is (A): 0; (B): 1; (C): 2; (D): 3; (E) None of the above. Q2. The last 5 digits of the number 52010 are (A): 65625; (B):...

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  • Having identified and classified relevant water pollution problems, and having assigned priority to them, the next step is to identify appropriate interventions to cope with the problems. For every problem identified, therefore, an assessment should be made of the most appropriate means for intervention. Furthermore, an indication should be given of the relevant administrative level(s) to be involved. The proposed interventions may vary significantly in detail and scope.

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  • Most of the open questions discussed by the author were settled during the twentieth century. The author’s footnotes are labelled using printer’s marks*; footnotes showing where corrections to the text have been made are labelled numerically1. Minor typographical corrections are documented in the LATEX source. This document is designed for two-sided printing. Consequently, the many hyperlinked cross-references are not visually distinguished. The document can be recompiled for more comfortable on-screen viewing: see comments in source LATEX code....

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  • We introduce a probabilistic noisychannel model for question answering and we show how it can be exploited in the context of an end-to-end QA system. Our noisy-channel system outperforms a stateof-the-art rule-based QA system that uses similar resources. We also show that the model we propose is flexible enough to accommodate within one mathematical framework many QA-specific resources and techniques, which range from the exploitation of WordNet, structured, and semi-structured databases to reasoning, and paraphrasing.

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  • Another limitation of the literature is that minorities have been dramatically under- represented in psycho-oncology research (Anderson, 1992). Further, although the research demonstrates the importance of the spousal relationship during the cancer experience, there is a lack of controlled research concerning couples or family interventions. Finally, a crucial question that remains unanswered is determining what these findings mean in terms of clinical intervention and care.

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  • By the end of grade four, students understand large numbers and addition, subtraction, multiplication, and division of whole numbers. They describe and compare simple fractions and decimals. They understand the properties of, and the relationships between, plane geometric figures. They collect, represent, and analyze data to answer questions.

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  • (BQ) In this new edition, the authors have included additional sections to make for a more comprehensive coverage of topics; more exercise and revision questions; additional/replacement examples/figures to complement the modified text. As in previous editions, the treatment is straightforward to allow rapid progress in grasping the techniques, with sufficient exercises for practice.

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  • IQ test book is the author of two KEN RUSSELL PHILIP caster and consists of 1000 multiple choice questions in English about many areas, especially in mathematics, the geometry of space, and language skills with very many interesting things are waiting for you / try your IQ by as much test and test again with the answer books were available at the end!

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  • Now that you know your IQ score, your Intelligence Type and your rank along the four intelligence scales (Mathematical, VisualSpatial, Linguistic and Logical), we thought you might want to go back and see how you answered various questions. People often waver on at least a couple of questions, so we've provided the full set of questions along with the answer key.

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  • Directions: Solve each problem, choose the correct answer, and then fill in the corresponding space on your answer sheet. Do not linger over problems that take too much time. Solve as many as you can; then return to the others in the time you have left for this test. Note: Unless otherwise stated, all of the following should be assumed. 1. Illustrative figures are NOT necessarily drawn to scale. 2. Geometric figures lie in a plane. 3. The word line indicates a straight line. 4. The word average indicates arithmetic mean....

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  • Directions: Solve each of the following problems, select the correct answer, and then fill in the corresponding space on your answer sheet. Don’t linger over problems that are too time-consuming. Do as many as you can, then come back to the others in the time you have remaining. Note: Unless otherwise noted, all of the following should be assumed. 1. Illustrative figures are not necessarily drawn to scale. 2. All geometric figures lie in a plane. 3. The term line indicates a straight line. 4. The term average indicates arithmetic mean....

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  • For every exam it is important to calculate the amount of time you can spend on each section or question according to the number of marks it is worth. (Do the easy questions or sections first - this is helpful for calming nerves and establishing your concentration.) If your exam is all multiple choice, you may want to note where you should be after one hour and after two hours to ensure you aren't falling too far behind. It is important to work at a fairly quick pace; multiple choice exams are notorious for being long....

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  • Are you mystified by math word problems? This easy-to-understand guide shows you how to conquer these tricky questions with a step-by-step plan for finding the right solution each and every time, no matter the kind or level of problem. From learning math lingo and performing operations to calculating formulas and writing equations, you'll get all the skills you need to succeed!

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  • The most important trend in biological engineering is the dynamic range of scales at which biotechnology is now able to integrate with biological processes. An explosion in micro/nanoscale technology is allowing the manufacture of nanoparticles for drug delivery into cells, miniaturized implantable microsensors for medical diagnostics, and micro-engineered robots for on-board tissue repairs. This book aims to provide an upto- date overview of the recent developments in biological engineering from diverse aspects and various applications in clinical and experimental research....

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  • The atomic theory of matter asserts that material bodies are made up of small particles. This theory was founded in ancient times by Democritus and expressed in poetic form by Lucretius. This view was challenged by the opposite theory, according to which matter is a continuous expanse.

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  • Economists have an answer to the question of why people behave as they do — self interest. Economists' analysis of individual choice does not deny individual differences. A good beginning in understanding individual choice is to focus on the rational part of people's behavior.

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  • General symptoms include morning stiffness of more than 60 minutes, fatigue, sometimes even slightly elevated temperature, but the main initial symptom is low back pain at night and in the morning. All patients with low back pain should be questioned about a positive family history concerning rheumatic diseases, as the risk of developing this illness is higher in patients where family members already have been diagnosed with ankylosing spondylitis.

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  • This issue of Forced Migration Review is about improving communications between logisticians and programme managers to make such mix-ups a thing of the past. We are grateful to the Fritz Institute for drawing our attention to the importance of humanitarian logistics and for the very generous grant which has made this issue possible. We are deeply indebted to our Guest Editors, Anisya Thomas (Fritz Institute's Managing Director) and Ricardo Ernst (Georgetown University), and to Lynn Fritz for his personal support.

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