Tuesday, 8 December 2009

8-11-09

First day of Home-coming day preparation. I was in trobule for the Language subjects, only. lol I'm confident to talk or write something well on my favourite subject, but I don't like those topics in exams.... orz Anyway after a several times of tests other subjects should be fine. LS is still a problem, though. Not worrying the score this time, but will there be any so called KEQ (Key Enquiry Questions)? If yes, then **** it. LS is just a subject for watering.... Rusty is right. In primary stage, we obtain certain Language knowledge, maths and general studies. They plot a certain part of the "field of knowledge". For language and maths, obviously there're many link systematically linked. For example in maths, the concept of "addition" can be applied to "multiplication". For general studies, there's only a few (or no) link between different topics. They taught some history, some biology, some sociology and so on. Linkings can't be built because those topics are far away. And in secondary level, we have more subjects. They start to construct an "known area" in the field of knowledge. Some of them have shown some contact. We know that history in the past will affect the society currently, and the chemical theory about carbohydrates has raised some environmental concerns in geography. Later on, we come across in the tertiary education stage. They provide a wide application/analysis on a certain topic. Most related topics will be discussing during this period. Then the "known area" of the field of knowledge starts to become the one and only one figure, which all knowledge learnt before have been connected each other. Then THAT is Liberal Studies. So.... Just get a good scoring for LS in DSE then all fine~ "throw balls to decide 4 numbers from 1 to 10 and make it into 55." This is not easy IF numbers is nearly choosen randomly. Boxes stay too far from the ball, despite the ball is made of polystyrene (too light), it's hard to aim a certain number. Moreover 55 = 11*5 and w/o 11, it's much more difficult. Just give an example.... 5 5 5 6 If all 4 numbers have to be used then there should be no solution. Three numbers: (5+6)*5 OR 5^2+5^2+5 (if "square function" is permitted) 3 3 7 7 : 7*7+3+3 (a classical problem for "24", but 55 is simple) 9 10 9 10 no solution! (I'm finding someone who can solve this, um....) 6 7 8 9 : 6*9+8-7 (this should be hard enough for normal people) 2 3 8 9 : 8*3!+9-2 (I admit I'm not using the given function.) 3 5 7 9 : 5*(9-rt(7-3)) (Tricky!) So that's enough. According to Jane, the so called model answer is 5*10+3+2. That're much more variation for 2,3,5,10! e.g. (3+2)*10+5 or 5*(10+3-2) or 5*(10-3+2^2) or 5*3+10*(2^2) or 10*3*2-5 By factorial or three nubmers: 5*3!+(10/2)^2 or 5^2+10*3 or (3^2)^2-10-(2^2)^2.... uh, that's too much. I've been tried to combine 7 "4"'s from 1 to more than 1000, and there's a several tricks leading to suscess. 1)Reciting to useless. 2)Prime factorize the number, find useful factors for multiplication. 3)Find combination for favouring numbers. 4)try sum or difference of two "things" under your number. 5)Last chance: Do some beautiful (meaningless) combination of strange functions given (factorial and gamma function are always useful!) ok, talk about that game again. I wanna suggest some interesting number sets for making 55. (+ - * / sq., sqrt, ! are permitted.) level 3! 1) 7 8 9 10 2)4 4 7 7 (2 solution) 3)2 4 6 8(even -> odd?) 4)5 5 9 9 5)4 6 8 10 (impossible?!?) ....

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