2005 年 12 月 2 日 星期五 【晴】

imo training test
it's named "hong kong (china) mathematical olympiad" instead of "imo training test 3"
pretend to be in large scale

4 questions
i finished 2
whether revised or not makes no difference in maths tests
both for easy and difficult ones

a,b,c,d are positive numbers such that a+b+c+d=1
prove the inequality 6(a^3 + b^3 + c^3 + d^3) >= a^2 + b^2 + c^2 + d^2 + 1/8
a sudden flash in my brain tells me how to do it:
(i'm not a scientist, so i can't know the solution by dreaming )
use cauchy-schwarz inequality (will be taught in pm) 3 times
wt a boring solution

i spell cauchy-schwarz wrongly in the solution

on a certain planet, there are 3*2005! aliens <-2005!=2005*2004*2003*...*2*1
they communicate with each other in 2005 languages
any 2 of them communicates with each other in exactly 1 language
prove that there exists 3 aliens communicating with each other with a common language

this question looks like the ramseys
btw...find 3 aliens from 3*2005! of them?
家豪 always says: "to prove something exists and to find it out may not be related"
(証明一樣野存在同搵唔搵到係兩回事黎
　我証明到比你睇呢3隻alien一定存在,但你想搵佢地出黎就係你既事)
the question is set by him?

at the end, a sheet was released
卓越數學培訓-2006數學奧林匹克訓練營
looks like a "camp"
but when julius ask them about the details,
「果3日几點要到?」
「朝九晚五」
「響邊度架?」
「呢度囉」
just 3 of extra-long lessons
it's taught by the professors from guangzhou
(「好勁,講乜都得既professor」 i nonsensely call them "講廣東話果兩個professor")
3-d geometry is included

it's difficult to identify and count each person in hk
but it becomes easy if we give a unique number to each of them
so the ID card number is invented to distinguish between people with similar appearances or names
in mathematics, something is difficult to count
but each of them has a unique property which is easily countable
this method is called 1-1 correspondence

a lesson is about trying and guessing
i like it

i think wt makes my maths ability strong is the out-of-school trainings, not my intelligence
(in fact i dun think i'm cleverer than many ppl)

>>December 5, 2005 at 9:04:23 AM GMT+8

2005 年 12 月 1 日 星期四 【晴】

the letter about 撞聾旅行團
forgot to put down the date, -3 marks

mr lam teaches so fast today
he said it worths 4 marks in the 1st exam
he shouldn't rush for it
because it's nothing when all of us can't answer that question
if original full mark=100, then change it to 96
absolute result (ur actual score) is useless
but relative result (ur score compared to others) is slightly more useful

co's wearing new shoes
蔡榮:「你以前出親街都係著白飯魚」
co goes to the self-study room in public library
co takes sick leave at the school
he has changed a lot
possibly...

co:「我諗你執執個樣好d喎」
蔡榮's look...

re
still about black ppl in us
(dunno whether it's discrimination or not if i call them "black ppl", as u know i dun mean to)
on the bus, a black woman was asked to give her seat to a white person
she refused and got sent to the prison
a few days later, a black 牧師 called all the black ppl there to do something
is it to boycott the transportation?
i forgot it bcoz i threw the paper away immediately after the lesson
an interesting question appears in my mind:
if they dun ride the buses, wt to do if they wanna go further? walking or cycling?
it's the same as to resist japanese imports in hk

if not giving up the seat guarantees a strong effect, she should sit firm (modified from "stand firm")
the foolish woman was just lucky
black ppl were supressed in us for many centuries
nobody had taken actions against it i doubt
if the 牧師 wasn't brave enough, the woman's action is just worth for imprisonment
if they are in china, they'd probably be killed by tanks or cannons


it's better to launch a terrorist attack instead

「如果冇人做烈士既話,我相信個情況到而家都係咁」
many ppl were stimulated
(hkgolden language: ppl who posted an erotic picture and got banned by admin bcoz of this)

http://www.xanga.com/dannyng
new entry about a piece of (old) news

>>December 3, 2005 at 11:41:00 AM GMT+8

2005 年 11 月 30 日 星期三 【晴】

free pm lesson again...
bio group asked us to attend the lesson with them

wt the...?!
it really happens...
unfortunately i found some errors

mr kwong is so keen on talking about negative things of china

"scientists are usually somehow abnormal...(skipped)...btw, i'm just a teacher, not a scientist"
it's the reason why i dun wanna be a mathematician

"ur(not mine) method is so clever. i considered for a long time whether to give u a- or b+"
me:"i did think of the same method, but i missed some measurements and that's why i can't use it"

i know why i can just b+ but not a- or a
because of the inborn problem
my result is too accurate, so i can't write as many as 10 sources of error
so i lose some marks

he's really crazy
"hey, look at danny. he's far better than u"
because my dark side is not seen by everyone

i found my behaviour depending on the appearance too much
i think i'm not, but i can't find another explanation for these:
1. i simply explain the solution directly in order to finish this one as quickly as possible
2. i prefer pbl or mr tang's method for this one. vv unsuitable but vv good to kill time
　(if i'm free, i can use 1 hour explaining just 1 line of calculation)
3. i wanna be responsible to this one. i tend to use mr tang's method because it's vv suitable

re owl:
if my seed bursts, i can finish a sudoku within 2'30"
normally, 5-10 mins for the online one here:
http://www.miniclip.com/sudoku/sudoku.htm

re co:
addoil for "away study"

>>December 2, 2005 at 11:53:10 AM GMT+8

2005 年 11 月 29 日 星期二 【晴】

many free lessons again
dunno go to school for wt
just 4 lessons today (and only 2 are useful)

played sudoku with po in 2 whole free lessons
as it's so difficult, we used the method of contradiction
1st, use ball pen to fill those cells i know it's correct
2nd, when there's 2 possibilities to fill a cell, we use pencil try one and find any contradictions
if contradictions exist, we erase all pencil marks and use ball pen to fill all confirmed answers
3rd, repeat 1 and 2 until filling all cells

form period
"respect others"
WW
old topic...
is it because football club teacher thinks herself isn't respected by students?
related to her speech and action, isn't it?

"u interchanged the blue and black when repairing my pen?"
"no, i put the 3 in cyclic order"

mr leung is present!
so rare, he's present but another teacher(hammer) is absent

「首詩歌個名就叫做詩歌」


梁廣煒 read aloud the names of absentees in the last assembly and told them to stay in the hall
i think it's noticable because there're too many in 7c

questionaires are the remaining harms from "tung dynasty" 董朝遺禍
2 questionaires, 1 completed at school and 1 filled by parents
"i can use my 6th sense to talk with my mum"
kwong:"if anyone has similar ability as danny, u can do it b4 u leave"


o...i'm very slow in filling questionaires
i've already filled it blindly (same blank on the mc ans sheet)
but many ppl are still faster than me to hand in

played several poker card games
german bridge
i'm not good at predicting things
seldom got it right, usually wrong by -1 (guess=3,outcome=2)

re owl:
i think u'd better tell me which flash u dun understand
as there're so many @@

>>December 1, 2005 at 9:09:05 AM GMT+8

2005 年 11 月 28 日 星期一 【晴】

in that incident
i think
without the name, people can just guess wt's happening
but nobody knows who is really related

mr leung absent again
gang bang(鋼棒) read the slip: pm group go to library for self-study in 5th lesson
he didn't say 6th
we think there's something strange
e.g. mr leung will be back at the 6th lesson

circuit training
not as tiring as i expect
i didn't go to athletics team training since sports day?

ue
the cd player doesn't work
connie asked me to ask 阿亮 to fix it
and bc is trying to do so
"when i'm back, bc will finish it" <-from my experience

listening
hurry to chase the materials
but still missed many points

after half of the 6th lesson
mr hung told us to go 401 for the lesson because there's a teacher waiting for us
i thought that's house captain
but
wong ting hong ?
"do ur own work until the bell rings after 10 mins"
then why can't we stay in the library?

clc
WW!
watched the 鏗鏘集 for 7-1 anti-article-23 walk
i appreciate a student's idea most
"even there were 1 million people in 6-4 incident, the central government still supressed it with arms
　can u imagine how useless is our walk?"
some students gave opinions

there's a question on the handout: why hk teenagers are generally not concerned about politics?
we think we have many other things to care,and politics is less important to us
e.g. family, study,...
ms yim:"the response from 6a class is totally different from urs
　they said when we grow up, we must think about more things"
imagine, if the anti-23 walk was in march or april (just b4 the exam season for hkal and hkcee)
would there be as many students as that in 1/7/2003?
if u say "politics is more important than studies"
ask urself whether u'll go for the walk in the month b4 ur public exam
dun answer me, answer ur heart

http://kenkoudaa.sakura.ne.jp/page023.html


>>November 29, 2005 at 12:12:06 PM GMT+8

2005 年 11 月 27 日 星期日 【晴】

shit
pressed wrongly and the whole diary...

i think i have a large 嫌疑 in composing results
in the chem lab report, theoretical value of the ans=-57.1
my result=-57.3

connie is absent today
dunno who said "mr leung must be absent too"
correct prediction

originally there's 1 free lesson
but today there're 5 (remaining=1 phy+3 chem lab)
bored with so many free lessons

whenever there's a question, that guy must say "very difficult" immediately without thinking
don't u think it's annoying?

hammer asked us a question
"when i walked around, no one could write down the answer"
in fact i guessed it correctly without a proof
and far later i thought of a proof for it
i'd better say what fermat said:
i've got a wonderful proof, but there's not much space here. so i don't write down the proof


"a classmate from the other class found the answer quickly, and explained it to the whole class
　(hammer didn't said who's that but everyone knows the one is bobby)
　he's the 1st one with this ability over my teaching experience
　i supposed everyone in the class understood what he said
　i enjoyed listening to him and i think he explained it quite clearly"
so exaggerating...
isn't the "whole class" only 9 people?
excluding bobby and including hammer

bobby seems to be very busy
someone asks questions and he goes there from the opposite side of the classroom
i think i'm quite lucky that someone comes to me to ask questions, instead of asking me to walk around

mr kwong:"i'm confident to write it down because the calculation is done by a specialist"
not really
my calculation is quite inaccurate

lazy people, lazy method
as i'm too lazy to press the calculator so many times
i used excel to do some calculations for me

found a good web to dl robot anime songs
http://rbo.5617.com/srwfront/jzzqx/z-music-yc.htm
原創系列=original robots/characters from 機戰

>>November 28, 2005 at 3:05:53 PM GMT+8

2005 年 11 月 26 日 星期六 【晴】

i thought i can't finish both section e and lab report within 1/2 day
too low self-esteem...

sigh...that cheap guy

sigh again...
everytime i have to do lab report, my work is double
just because someone doesn't want a C
i suddenly thought of something further

i know FAQ=常見問題=よくある質問
but today i just know wt "FAQ" stands for
frequently asked questions

>>November 27, 2005 at 2:49:22 PM GMT+8

2005 年 11 月 25 日 星期五 【晴】

α3
read the profile of machines and characters
saw some horrible things
an enemy boss-battleship from mazin robot(鐵甲萬能俠) has a mass 325000t (1t=1000 kg)
this is not the most horrible
since mazin is a kind of "super" type robot
(the story is less scientific,the weapons of the robots and the characters are usually very 熱血)
...is it possible to ko this ship?!
another enemy boss-ship in macross7 is 320000000t (3.2*10^8 t)

i remember battle7 used the macross cannon to give it a heavy damage, but can be recovered
the macross series(macross7 is not the 7th work) is "real" type
(contrary to "super" type, more scientific story and more reasonable weapons)

i think these ships need not have so many cannons
just some hard armour and a strong thruster is enough
with it's huge mass, only a crash towards the target can destroy it
if amuro's ν(nu) gundam (about 20t?) is knocked by the 3.2*10^8 t on earth
and he's lucky enough to survive under the crash
we can never see him again
because he's already thrown away from earth at high speed

bought the 空想科學讀本2
it's about same kind of things as the previous book
but the things are not discussed before

imo
number theory
the new topic is so difficult...
so i read the book bought today instead

cj is busy
so bobby poon(a geometry teacher) become the 替工

變身成初代超人果條友叫早田
超人既資料設定話早田係地球防衛隊既精英
佢響培訓學校第1年科科滿分,仲學識左50樣體育運動
第2年識晒世界上所有動植物既身體特質,生活習性等等,仲通過以少量燃料來回月球既test
第3年響一間黑房,每日淨係食朝頭早果餐,捱過左一個月
話說超人第1集,超人飛黎地球果陣唔小心撞爛左早田渣緊既戰機
導致早田死亡 (呢個天才死得咁化學既...)
自此,超人同早田就共用一個身體(打怪獸係超人,唔駛打怪獸果陣係人)
到最尾一集超人比隻怪獸打低左
有另一個超人出黎救佢
死左果個超人話想將自己條命送比早田
因為地球人壽命太短,佢自己已經生存左2萬年
空想科學讀本2個作者話:
「這句話就像人類把生命送給沒有100天壽命的獨角仙成虫一樣,沒有相當覺悟都說不出來」


in the end of today's lesson
cj's back
bobby:「遲d有個廣州黎既教授會黎呢度教3堂
　佢好勁架,講乜都得」
me(quietly) : 「廣東話」
「所以題目由我地定,我會比11個你地揀」
when he's listing
number theory: cj banned, because he has taught it
combinatorics: cj banned, because hk has suitable people to teach (家豪 )
geometric transformations: bobby banned, because he has taught it for 2 lessons
finally,「呢度冇民主架」
8C4
i'm interested in 3-d geometry, but bobby said "it will definitely not appear in imo"
so i think few people will vote it and rejected it
then 2x votes for 3-d
it's still not enough
no. of votes for the 4 hottest topics are written "AA"(almost all)

ramsey: if there are sufficiently many mathematicians, we can find one good at all topics of maths


>>November 26, 2005 at 3:50:26 PM GMT+8

2005 年 11 月 24 日 星期四 【晴】

many activities today...

when i arrived at the sports centre, i was a bit sleepy
dunno how i survived after the 2 hours badminton

so hurry to sleep
because i got home after 3:30
and i'll visit the primary school 5:30
i must "catch" the 2 hours in between

i did phoned more than 10 people
only 2 said no
but when i told them the time yesterday, some said they can't come
and when i was going there today, some more said can't come...


all teachers said they remember our faces but not the names
grace:"all remember your name"
not really

the letter mst sent to sfcpm is so misleading...

α3
deathscythe(死神高達) is so strong!
his beam scythe(all att) has damage 7400
this weapon is nothing bad except the en consumption is large
really a 死神...

the pilot of ideon...
>2k pp
after learning all the necessary skills, train his 射擊
used all pp to train up to 3xx
but ideon will be freezed
because i dun wanna use this "wud" power

合體原種...a piece of cake

>>November 26, 2005 at 1:30:36 AM GMT+8

2005 年 11 月 23 日 星期三 【晴】

yesterday played seed omni vs zaft with brother
i used justice and he used saviour(high-mobility murasame )
justice's skateboard is so useful
1. throw it to the enemy when he's approaching u to use sword
2. throw it to "fake" the enemy, then shoot him with ur gun/ fly nearer and use sword

recently some 欄杆 were built in the route i go to school (which part of my way?)
yesterday, this route was not yet blocked
but today, i saw something block the last space left
i wanna climb across this new part of the 欄杆
it suddenly fell to one side
luckily i wasn't injured
but the undried 水泥 underneath was deformed

pm test at 11am
near 10 didn't come
mr leung looks angry...

a big trap...
luckily i discovered it by checking all steps (because i'm not confident with my accuracy)
and luckily i used some skills learned from imo to solve it
inserting parameter (taught by the on9 teacher, is he principal hung?)
　to solve x+y+z+...(some complicated terms, with variables only x,y,z)...=0
　the "god-like" mr hung suggests introducing other variables a,b,c
　first let z=a+b, after some "god-like" steps, we can let x=b-1/3
　and some more "god-like" steps,introduce another variable c with y=c+1234a/8765
　we'll get the values of a,b,c and thus x,y,z
my comments:
　it's really god's work
　(better say cannon-after-horse )
　how can u know the equation will be simple by letting y=c+1234a/8765?
　why not y=c+2345b/9876?
i don't have god's brain, so i can just use this method in a simple and foolish way

this time i think i have no careless mistakes (every time i think so )
but there's a problem i can't do that
so...someone's gonna say "what?! even danny can't do it? how about us?" right?
i'm just a normal human like anyone else making no difference
　suppose there are 10 lifting machines, of which one is the strongest among all
　and there's a stone can't be lifted by this machine
　then u can say all from the 10 can't lift the stone
humans are not machines
we have both "火事場の馬鹿力" (a word in japanese, guess the meaning?) and "low-status"

dodgeball!

o shit...
i have to take medicine today
but i've brought the old medicine bag where all pills and "cough water" were eaten already

sleepy b4 and after the speech day ceremony started
it's because i didn't take the medicine?
drug abuse

that's ok, because i can sleep during the long and boring speeches at the beginning

everyone's saying we should learn continuously thoughout our life
for wt?
to build up our knowledge and ability?
then wt's it for?
later use?
then why should we learn until our death?

so bad arrangement of seats...

i think the one needs rehearsals the most is not anyone of the students but mrs lam, isn't it?
she made many mistakes when reading the awards and the students' names


on my way back home, the newly-built 欄杆 was sticked with a piece of paper
written "the paint is wet"
i don't think so...
it's already dry this morning
although i know the purpose of sticking the paper

>>November 24, 2005 at 2:55:46 PM GMT+8