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    On Classical Ramsey Numbers

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    colors‚ red and blue‚ it is impossible to color the edges of the kn without forming either a red kp or a blue kq. In short we formulate it as kn[pic]kp‚kq (read as kn arrows kp‚kq). The smallest value of such n is denoted by r(p‚q)‚known as the Ramsey number. A famous example for the two color Ramsey theorem is k6 which arrows k3‚k3. To prove k6 [pic]k3‚k3‚ let’s put 6 points on a plane and call one of them v. There are 5 edges joining v to the remaining 5 points. Let’s color them red

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    evidence for e portfolio

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    Evidence Survey In this task I have to produce a survey to gather information on public interest in fair-trade. I also have to produce a spreadsheet to analyse my results. I am also going to evidence all of my work that I will produce and show all of my steps during the task. For the first part in the task I created a questionnaire on fair-trade. I had to ask at least 15 adults my questionnaire and then analyse the data. The questionnaire I created I printed 15 copies of it to make the results

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    Ib Tok Prescribed Title

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    How can we recognize when we have made progress in the search for knowledge? Consider two contrasting areas of knowledge.            The search for knowledge is a constantly ongoing process.  So how are we to know if we have made any progress? Progress is development‚ advancement‚ and moving forward.  In this case it is the progress in the search for knowledge in an area of knowing.  Within the areas of knowing the strongest contradiction is between human science and natural science.  Human sciences

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    Essays and English Portfolio

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    My English Portfolio of Original Essays and Reflective Writings English 102.02 T/R 8:00 - 10:00 ENG 102.02 09/13/11 Tue-Thurs 8:05-10:05 PM Essay #1 What if the places we think are safe‚ were no longer the sacred places of bliss we frequently run to? History has shown us that maybe‚ perhaps we are never truly safe anywhere. Dudley Randall’s Ballad of Birmingham intricately tells us how quickly are illusions of are false sense of security can be shattered in the blink of an eye

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    Ib English Ioc

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    ACT 2 SCENE 2 INTRODUCTION Good afternoon. I’m going to tell you about the disposition of Julius Caesar’s wife Calpurnia‚ during the early morning hours on the Ides of March which was also the day Caesar was to be crowned king but‚ was assassinated instead. BRIEF SUMMARY The scene opens with thunder and lightning accompanied by torrential rain since the night before when Calpurnia is deeply disturbed by horrid nightmares of Caesar being slaughtered by sadistic murderers (sadistic because they were

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    Ib Biology Hl

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    Is the neural pathway significantly longer for a visual stimulus or a sound stimulus (or a pressure stimulus) Data collection and processing Table 1a: Data collected by John Rha and Arthur Hamilton by dropping ruler for calculation of length of the neural pathways (Visual‚ Auditory and Sensual) Trial# | Visual | Auditory(Sound) | Sensual(Pressure) | | (cm±0.1cm) | (cm±0.1cm) | (cm±0.1cm) | | John | Arthur | John | Arthur | John | Arthur | 1 | 43.9 | 24.1 | 33.1 | 34.6 | 50.1 | 50

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    Ib Tok Presentation

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    Identify an issue of global significance which introduces a conflict of concepts and values. Examine the facts‚ language‚ statistics‚ and images used by at least two sides in the conflict in their representation of the issue. In the process‚ identify assumptions‚ justifications‚ values‚ and emotions which diverge. To what extent can you find the truth of the issue? 1. Poverty (also more specifically beggars and begging) 2. Social concepts of time (e.g. Mainstream concepts vs. First Nations’ concepts)

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    Energetics IB SL

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    Energetics 5.1   5.1.1 Endothermic: A reaction in which energy is absorbed. If your reactants are at a lower  energy level than your products then the reaction is endothermic this means it has a + ΔH°       Exothermic: A reaction in which energy is released. If your reactants are at a higher energy  level than your products then the reaction is exothermic this means it has a ­ ΔH°     Standard Enthalpy  ( ΔH°)  The internal energy stored in the reactants. Only changes in  enthalpy can be measured

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    Ib History Ia

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    Pioneer Square Observation Report In Pioneer square there are many places to sit and observe the people whom pass by‚ but perhaps one of the most interesting places to go is the food court inside the pioneer square mall. I found that the best time to observe all the micro cultures was at lunch time‚ when people take a break from their busy lives to come and enjoy a lunch from a variety of choices. The environment is one of the other things that I was able to notice right away‚ not only the setting

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    ib biology ia

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    How does light intensity affect the rate of photosynthesis? Does the amount of light intensity increase the rate of photosynthesis in a pondweed? Design aspect 1 Introduction My investigation will be centered on measuring the rate of photosynthesis and whether or not light intensity will affect it. The formula of photosynthesis is Carbon dioxide + water  oxygen + glucose with the arrow referring to light energy as a means to convert the CO2 and H2O into oxygen and glucose. Logically‚ one would

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