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Thursday, January 07, 2010
Monday, January 04, 2010
Saturday, January 02, 2010
Friday, January 01, 2010
Friday, December 25, 2009
Thursday, December 24, 2009
Saturday, November 28, 2009
saw this following post by meiju on fb (pardon the blatant copying of text.. haha..):
What is the smallest positive prime factor of the integer: 2005^2007 + 2007^2005? - Singapore Maths Olympiad question for high school students. (the answer is 2, btw)
i couldn't help but try to prove that e answer was 2.. guess i'm still quite attracted to SMO questions.. anyway tt aside, e question does look quite intimidating.. but SMO questions, given their nature, are most of e time relatively simple, tt is if u noe wat concepts to apply.. in proving/solving this question, u need to make use of 3 simple concepts..
1. odd number * odd number = odd number
when u realise tt this is e case, u would see tt 2005^2007 is just multiplying a chain of odd numbers.. at e add of all e calculation, u would end up with an odd number.. same goes for 2007^2005..
2. odd number + odd number = even number
so e result of 2005^2007 (which is an odd number) + e result of 2007^2005 (also an odd number) gives u an even number..
3. even numbers are divisible by 2.
so ultimately, 2005^2007 + 2007^2005 would give u an even number and 2 would be one of it's factors.. coincidentally, 2 is e smallest positive prime factor possible for any given number..
without doing any real calculations, e question has been solved..
What is the smallest positive prime factor of the integer: 2005^2007 + 2007^2005? - Singapore Maths Olympiad question for high school students. (the answer is 2, btw)
i couldn't help but try to prove that e answer was 2.. guess i'm still quite attracted to SMO questions.. anyway tt aside, e question does look quite intimidating.. but SMO questions, given their nature, are most of e time relatively simple, tt is if u noe wat concepts to apply.. in proving/solving this question, u need to make use of 3 simple concepts..
1. odd number * odd number = odd number
when u realise tt this is e case, u would see tt 2005^2007 is just multiplying a chain of odd numbers.. at e add of all e calculation, u would end up with an odd number.. same goes for 2007^2005..
2. odd number + odd number = even number
so e result of 2005^2007 (which is an odd number) + e result of 2007^2005 (also an odd number) gives u an even number..
3. even numbers are divisible by 2.
so ultimately, 2005^2007 + 2007^2005 would give u an even number and 2 would be one of it's factors.. coincidentally, 2 is e smallest positive prime factor possible for any given number..
without doing any real calculations, e question has been solved..
Wednesday, November 04, 2009
Tuesday, November 03, 2009
Sunday, October 18, 2009
i wonder if an absence of posting on my blog is a good thing.. not tt i'm really busy with anything else though.. certainly, i'm working now.. but it could just be tt i'm just lazy nowadays.. quite a few of my friends' blogs are literally dead as i see it.. but maybe tt's cos they're busy.. anyway, pls pardon me if u find this post incoherent.. cos i'm really just typing out watever's going through my brain without much thought..
was put out of action for e majority of last month due to a major feeling of unwellness.. definitely not something tt i want to go through anytime soon.. anyway, e main cause of my sickness seemed to be due to stomach bloatedness.. as simple as it may have seemed, it caused quite a hell of a time for me then.. lethargic, lack of appetite, headache.. not very clear symptoms of the underlying problem, as i had thought.. and apparently wat e western docs had wanted me to think too.. was perhaps e first time where i was quite disappointed in e approach tt western medicine take in tacking a sickness.. or maybe my disappointment is directed at e healthcare system as a whole..
lots of patients, short consultation time.. basically getting a sense tt e doc is trying to clear e patients as fast as possible.. probably more so in e setting of a polyclinic.. come on.. i'm feeling sick.. v sick to be exact (although i may not look like it).. e last thing i wanna feel is tt u dun really give a damn abt my sickness..
sincerity sincerity.. smth tt was ingrained in me by emu.. i think sincerity is something which quite a few of us lack..
maybe i'll just talk a bit abt my temp job here.. i quite like it to say e least.. and tt's not because i'm e only guy in my team.. i think being part of a team tt's strongly bonded and fun to be with really makes a difference in whether e job is enjoyable.. and i would say tt i dun really see wat i am doing now as a job, because i quite enjoy wat i am doing.. hearing stories from those who have started work in e big 4 then made me wonder if i would find e same sense of enjoyment.. e enjoyment in doing something cos u sincerely wanted to do it.. cos u liked doing it.. and not because it was yr job.. not just because u were paid to do it..
haiz.. suddenly felt a flash of emo-ness flowing through me.. blogging at night time and in a state of mind tt's half shut down can make one emo.. and a little grumpy..
was put out of action for e majority of last month due to a major feeling of unwellness.. definitely not something tt i want to go through anytime soon.. anyway, e main cause of my sickness seemed to be due to stomach bloatedness.. as simple as it may have seemed, it caused quite a hell of a time for me then.. lethargic, lack of appetite, headache.. not very clear symptoms of the underlying problem, as i had thought.. and apparently wat e western docs had wanted me to think too.. was perhaps e first time where i was quite disappointed in e approach tt western medicine take in tacking a sickness.. or maybe my disappointment is directed at e healthcare system as a whole..
lots of patients, short consultation time.. basically getting a sense tt e doc is trying to clear e patients as fast as possible.. probably more so in e setting of a polyclinic.. come on.. i'm feeling sick.. v sick to be exact (although i may not look like it).. e last thing i wanna feel is tt u dun really give a damn abt my sickness..
sincerity sincerity.. smth tt was ingrained in me by emu.. i think sincerity is something which quite a few of us lack..
maybe i'll just talk a bit abt my temp job here.. i quite like it to say e least.. and tt's not because i'm e only guy in my team.. i think being part of a team tt's strongly bonded and fun to be with really makes a difference in whether e job is enjoyable.. and i would say tt i dun really see wat i am doing now as a job, because i quite enjoy wat i am doing.. hearing stories from those who have started work in e big 4 then made me wonder if i would find e same sense of enjoyment.. e enjoyment in doing something cos u sincerely wanted to do it.. cos u liked doing it.. and not because it was yr job.. not just because u were paid to do it..
haiz.. suddenly felt a flash of emo-ness flowing through me.. blogging at night time and in a state of mind tt's half shut down can make one emo.. and a little grumpy..
Sunday, October 11, 2009
A recent P6 PSLE maths question:
Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1:7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy?
Try solving the question without using algebra before you take a look at this article: Parents up in arms again over PSLE Mathematics paper
Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1:7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy?
Try solving the question without using algebra before you take a look at this article: Parents up in arms again over PSLE Mathematics paper
Saturday, September 26, 2009
Tuesday, September 01, 2009
Monday, August 17, 2009
it has been a while.. tty came back to sg and went back.. den there was convocation on 27 June, i found a temp job at e2i, and brandon left for beijing this morning at 1am.. quite a lot of things that i want to blog about.. but it'll be a long post.. and tt will take time..
had a very good dream yesterday.. was just flying around in a very carefree manner.. there was a light-hearted atmospehere.. the dream was particularly long, which is rare for a lucid dream.. there was a point when i thought to myself that i really should try something new, given that such a chance and such high lucidity was hard to come by.. so i thought that i should try summoning something, naruto style.. but somehow i must have thought that slamming onto e ground doesn't seem quite right and i went off to search for an egg and something else (forgot wat).. yeah.. totally random stuff.. forgot y i went to find tt egg for, even though i eventually found 1.. -.-
anyway, my flying skills seemed to have gotten better.. previously, taking off was a conscious effort, but in recent dreams it has become an unconscious effort.. now tt may sound kinda weird.. an unconscious effort in a fully conscious dream..
had a very good dream yesterday.. was just flying around in a very carefree manner.. there was a light-hearted atmospehere.. the dream was particularly long, which is rare for a lucid dream.. there was a point when i thought to myself that i really should try something new, given that such a chance and such high lucidity was hard to come by.. so i thought that i should try summoning something, naruto style.. but somehow i must have thought that slamming onto e ground doesn't seem quite right and i went off to search for an egg and something else (forgot wat).. yeah.. totally random stuff.. forgot y i went to find tt egg for, even though i eventually found 1.. -.-
anyway, my flying skills seemed to have gotten better.. previously, taking off was a conscious effort, but in recent dreams it has become an unconscious effort.. now tt may sound kinda weird.. an unconscious effort in a fully conscious dream..
Tuesday, July 28, 2009
Thursday, July 23, 2009
was just surfing around youtube when i stumbled upon quite a couple of nice songs by 范曉萱..
especially liked e way the 2 mv above was shot, with quite a substantial amount of time showing her singing the songs.. i thought that the camera angles really managed to show her beauty and expression of the songs nicely..
tty was commenting on my lyrics 7 demo that the chorus seemed to end before it even started.. looking back, i feel that perhaps with a longer set of lyrics, it would aid in the build up of emotions that will climax in the chorus.. but then again, in the first youtube video above, 范曉萱's 自言自語, the lyrics are about the same length as mine but the feeling is very different.. i think e problem lies in that the melody for my first 2 verses is not too distinctly different from the chorus.. or wat they say in singing competitions.. 没有层次感..
other nice songs by mavis:
范曉萱 - 氧氣
范曉萱 - 雪人
范曉萱 - 哭了
范曉萱 - 你的甜蜜
especially liked e way the 2 mv above was shot, with quite a substantial amount of time showing her singing the songs.. i thought that the camera angles really managed to show her beauty and expression of the songs nicely..
tty was commenting on my lyrics 7 demo that the chorus seemed to end before it even started.. looking back, i feel that perhaps with a longer set of lyrics, it would aid in the build up of emotions that will climax in the chorus.. but then again, in the first youtube video above, 范曉萱's 自言自語, the lyrics are about the same length as mine but the feeling is very different.. i think e problem lies in that the melody for my first 2 verses is not too distinctly different from the chorus.. or wat they say in singing competitions.. 没有层次感..
other nice songs by mavis:
范曉萱 - 氧氣
范曉萱 - 雪人
范曉萱 - 哭了
范曉萱 - 你的甜蜜
Thursday, July 16, 2009
Lyrics no. 7
苦冷咸咖啡
喝杯苦的咖啡
苦痛刺着我心田
没有你的甜美
只有苦痛的思念
喝杯冷的咖啡
冷风吹着我的脸
没有你在这陪
只有冷风的残念
喝着苦冷咸涩泪水加咖啡
尝着没你的滋味
心里无限的回味
原来这是分手的滋味
原来这是分手的滋味
喝杯咸的咖啡
咸涩洗着我的脸
没有你在这陪
只有咸涩的怀念
作词:小飞机
二零零九年七月十六日完成
In a nutshell: this song talks about the different feelings experienced after break up..
Comments: this song is THE 1st song tt i've actually composed.. one tt actually has a melody.. and e inspiration came from nowhere while i was humming away in my shower.. all was completed in 2 hours.. well, e lyrics weren't long anyway.. but i'm not recording e song tonite yet.. so pray hard tt i don't forget the tune tml.. lol.. one point to note is tt e melody for e chorus seemed somewhat familiar.. and i'm not sure if it's from another song..
coincidentally, i was looking at lyrics 6 for formatting purposes and i realised tt lyrics 6 also touched on break up.. and it was perhaps a little strange tt my last comment for lyrics 6 turned out to be somewhat true..
on a sidenote, i was working on another set of lyrics.. one which i feel is quite important and something which i wanted to get out soon.. but tt has been left on e shelf for a while now and maybe when inspiration strikes again, i'll finish tt piece and post it up..
苦冷咸咖啡
喝杯苦的咖啡
苦痛刺着我心田
没有你的甜美
只有苦痛的思念
喝杯冷的咖啡
冷风吹着我的脸
没有你在这陪
只有冷风的残念
喝着苦冷咸涩泪水加咖啡
尝着没你的滋味
心里无限的回味
原来这是分手的滋味
原来这是分手的滋味
喝杯咸的咖啡
咸涩洗着我的脸
没有你在这陪
只有咸涩的怀念
作词:小飞机
二零零九年七月十六日完成
In a nutshell: this song talks about the different feelings experienced after break up..
Comments: this song is THE 1st song tt i've actually composed.. one tt actually has a melody.. and e inspiration came from nowhere while i was humming away in my shower.. all was completed in 2 hours.. well, e lyrics weren't long anyway.. but i'm not recording e song tonite yet.. so pray hard tt i don't forget the tune tml.. lol.. one point to note is tt e melody for e chorus seemed somewhat familiar.. and i'm not sure if it's from another song..
coincidentally, i was looking at lyrics 6 for formatting purposes and i realised tt lyrics 6 also touched on break up.. and it was perhaps a little strange tt my last comment for lyrics 6 turned out to be somewhat true..
on a sidenote, i was working on another set of lyrics.. one which i feel is quite important and something which i wanted to get out soon.. but tt has been left on e shelf for a while now and maybe when inspiration strikes again, i'll finish tt piece and post it up..
Wednesday, June 24, 2009
found this link in fb.. very gruesome, uncensored stuff.. probably e most gruesome i have seen yet.. definitely not for e faint-hearted.. Basij shoots to death a young woman in Tehran's Saturday June 20th
Sunday, June 14, 2009
Hello Song Yu sorry to hijack the blog.. haha But I need somewhere to put this reminder.
When when I come back in july we need to eat the following:
IKEA Swedish MEATBALLS!!!!! <--- must must must eat
Chicken Curry
Char kuay tiao
kuay chap
katong laksa
chicken rice <--- eat famous one
nasi lemak
kaly pok
BUFFET!!!!!!!!!!!!!!!!!!!!
brandon and song yu please contribute to the list!!!!!!!!!!!!!!!!!!!!!!!! this time must eat. everytime come back say want to eat end up never.
When when I come back in july we need to eat the following:
IKEA Swedish MEATBALLS!!!!! <--- must must must eat
Chicken Curry
Char kuay tiao
kuay chap
katong laksa
chicken rice <--- eat famous one
nasi lemak
kaly pok
BUFFET!!!!!!!!!!!!!!!!!!!!
brandon and song yu please contribute to the list!!!!!!!!!!!!!!!!!!!!!!!! this time must eat. everytime come back say want to eat end up never.
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