Monday, December 29, 2008

hah hah

Dear ALvin,
Once again your solution agrees with mine. I think I will present it as a tree diagram since that will be easiest for readers to follow.
Also, the result for the A-B duel can be gotten recursively, without using geometric series. If x is the probability that A survives, then x = P(A kills B) + P(A misses B)P(B misses A)(x), so: x = 1/3 +(2/3)(1/3)x, and thus x = 3/7.
Best,
MB
-----"Loo Chee Wee" wrote: -----

To:
From: "Loo Chee Wee"
Date: 12/28/2008 11:32PM
Subject: RE: Triple shootout: Charlie goof


Hi sir

yar sure you are free to post up my solution
Here's my try-out for the infinite shootout

everyone's intention is to be last man standing or survive as long as possible
they move in sequence A,B,C
shootings are independent of each other
B and C are still trying to kill each other as top priority

scenario 1: A shoots B
A hits: C then shoots A and C survives
A misses and B shoots C, if B hits then A and B engages in a 1-1 shootout with A making first move, probability of A surviving is 4/21 from a geometric progression...if B misses C, c kills B with his shoot and A must hit his next shoot at C for any chance of survival, probability of surviving is 2/27

summing everything: under this case A has 50/189 chances of surviving

Scenario 2: A shoots C
A hits, B and A then engages in 1-1 combat with B making first move, probability of A surviving is 1/21, from a geometric progression
A misses, B shoots C, if B hits, B and A engages in 1-1 combat with A making first move, probability of A surviving is 4/21 using geometric progression
if B misses, then C kills off B with his shot and A must then hit C to survive, probability of A surviving is 2/27

summing everything: A has a 59/189 chance of surviving

Therefore: A should start with shooting C in the infinite case

I'm not so confident of this solution though but it's certainly more fun
Hope you can advise on this

Regards
ALvin

Sunday, December 28, 2008

hah

This is correct -- at least, it agrees with what I calculated for a 1-shot triple shootout.
The case of an "infinite" shootout (participants continue shooting until someone wins) is even more interesting. Why not give it a "shot"?
With your permission, I will post your solution for a the 1-shot case.
Thanks for writing.
M. Bridger
-----"Loo Chee Wee" wrote: -----

To:
From: "Loo Chee Wee"
Date: 12/28/2008 06:13AM
Subject: Triple shootout: Charlie goofs


Hi sir
Here's my try-out for the question you posted
Hope you can advise

P(A misses)=2/3
P(B misses)=1/3
P(C misses)=0

suppose they shoot in the sequence of A,B,C and each only has 1 bullet
Assume that the shootings are independent, that is C's probability of hitting target doesn't change whether A,B hits or not

scenario 1: Suppose A aims B

(1) :P(A misses)=2/3 and A will survive as B will aim for C and vice versa....(A)
(2): P(A hits)=1/3 and A dies and only C remains and he/she never miss
summing: P(A survives)= 2/3 = 6/9

scenario 2: Suppsoe A aims C

(1): P(A misses)=2/3 and A will survive with argument from (A)
(2): P(A hits)=1/3 and B will shoot A with 2/3 chance of killing him/her
summing: P(A surviving)= 2/3 + (1/3)(1/3) = 7/9

therefore A should aim for C

Regards
ALvin


Never knew i could contribute to a American TV show like that haha

Wednesday, December 24, 2008

More shows down

Starship troopers 3
the storm riders animated
Forgetting sarah marshall
step brothers

my 4D/TOTO strategy

twin primes: pairs of primes such that both P and P+2 are primes
(5,7) (11,13) (17,19),(29,31),(41,43)

Cousin primes: pairs of primes such that P and P+4 are primes
(3,7) (7,11) (19,23) (37,41)

Prime numbers:
2,3,5,7,11,13,17,19,23,29,31,37,41,43

perfect numbers: numbers that is the sum of all its divisors
6=1+2+3
28=1+2+4+7+14

Fibonacci numbers:
0,1,2,3,5,8,13,21,34

obviously i only paid attention to those below 45

Gauss: "Mathematics is the queen of sciences and number theory is the queen of mathematics"

Tuesday, December 23, 2008

Sia lah

Management science: A
Managerial economics: B..wtf
Algorithmic graph theory: A-...lucky never lose face
AODE: B+
Complex analysis 2: B-...little surprise considering that TPC is Chan heng huat's descendant

Before s/u: 4
After: 4.25

p.s: what is there left to fight for?
p.s.s: remind me to tell Darren and pong that the strategy of taking extra electives in order to push up CAP should be done with some SUs on hand as an insurance

Monday, December 22, 2008

a bit late...reviews and thoughts

1: Ok so Mr Bush was (nearly)hit by a shoe in Iraq, seems that he finally found the "weapon of mass destruction"...well shoes causes blisters to many people, so i'm right right?

2: Lehman brother bank sage: ok so people are wondering if there's going to be payout
three options:
a: no compensation
b: full compensation
c: compromised compensation
But anyway since town council is involved in the decision, if its an honest one, shall be clear
If not send the town council to cow council then

3: Ex-NKF chairman's wife sentenced only to 22 months jail? Come on lah lets dig out all the past records of people "washing black money"
For all these people let's divide the amount of money by their sentence and record the "dirty ratio" and we will then see that Js in SG don't seem to pass PSLE math

4: right when i was i year1 i proposed (for fun) setting up bubble tea shop and hairdresser in NUS and both are implemented now. One more to ensure NUS earn till siao
SINGAPORE POOLS

5: When i'm free one day i'm going to spend a weekend at a singapore pools outlet and record the number of people betting that day. Each person i will just multiply by $2. And then i will multiply by the number of outles across the island and then by 2 and 52.
Sui ah

Saturday, December 20, 2008

progress(3)

1: try to run the program done by ah fu on MATLAB, prof has done n=4 on MAPLE and that is his limit, must try to out-do him
Lucky got "divine help"on this one

2: define an association scheme for my graph...should be an analog to the Johnson graph(scheme)

3: go find out any results i can use on symmetric groups and then project it down onto my graph

P.S: proof on eigenvector for smallest eigenvalue of graph has been done

Thursday, December 18, 2008

more

forgot to mention that

Bolt is also down
together with
ZEITGEIST, The Movie

more shows

Another 3 movies down,


The savages
The miracle
Fred Claus

I'm not going to watch hulk and iron man, those Hollywood crap
If you believe, anything can happen

Tuesday, December 16, 2008

2 theorems

In combinatorics, the Erdős–Ko–Rado theorem of Paul Erdős, Chao Ko, and Richard Rado is a theorem on hypergraphs, specifically, on uniform hypergraphs of rank r.

The theorem is as follows. If n\geq2r, and A is a family of distinct subsets of {1,2,...,n}, such that each subset is of size r (thus making A a uniform hypergraph of rank r), and each pair of subsets intersects, then the maximum number of sets that can be in A is given by the binomial coefficient

{n-1} \choose {r-1}.
Baranyai's Theorem

If k|n, then the complete k-uniform hypergraph on n vertices decomposes into 1-factors, where a 1-factor is a set of n/k pairwise disjoint k-sets. Brouwer and Schrijver (1979) give a beautiful proof using the maximum flow, minimum cut theorem of network flows.

Monday, December 15, 2008

progress(2)

things to do

--> understand the proof for baranyai's theorem(ongoing)
--> prove the eigenvector for the smallest eigenvalue at hoffman equality (halfway done)
-->read up basic association schemes(1 page)
-->study association scheme for my graph(havent start)

Tuesday, December 9, 2008

simpson paradox

Simpson's paradox (or the Yule-Simpson effect) is a statistical paradox wherein the successes of groups seem reversed when the groups are combined. This result is often encountered in social and medical science statistics,[1] and occurs when frequency data are hastily given causal interpretation;[2] the paradox disappears when causal relations are derived systematically, through formal analysis.

Batting averages

A common example of the paradox involves batting averages in baseball: it is possible for one player to hit for a higher batting average than another player during a given year, and to do so again during the next year, but to have a lower batting average when the two years are combined. This phenomenon, which occurs when there are large differences in the number of at-bats between years, is well-known among sports sabermetricians such as Bill James.

A real-life example is provided by Ken Ross[12] and involves the batting average of baseball players Derek Jeter and David Justice during the years 1995 and 1996:[13]


1995 1996 Combined
Derek Jeter 12/48 .250 183/582 .314 195/630 .310
David Justice 104/411 .253 45/140 .321 149/551 .270

In both 1995 and 1996, Justice had a higher batting average (in bold) than Jeter; however, when the two years are combined, Jeter shows a higher batting average than Justice. According to Ross, this phenomenon would be observed about once per year among the interesting baseball players. In this particular case, the paradox can still be observed if the year 1997 is also taken into account:


1995 1996 1997 Combined
Derek Jeter 12/48 .250 183/582 .314 190/654 .291 385/1284 .300
David Justice 104/411 .253 45/140 .321 163/495 .329 312/1046 .298

[edit] Kidney stone treatment

This is a real-life example from a medical study[14] comparing the success rates of two treatments for kidney stones.[15]

The first table shows the overall success rates and numbers of treatments for both treatments (where Treatment A includes all open procedures and Treatment B is percutaneous nephrolithotomy):

Treatment A Treatment B
78% (273/350) 83% (289/350)

This seems to show treatment B is more effective. If we include data about kidney stone size, however, the same set of treatments reveals a different answer:


Treatment A Treatment B
Small Stones Group 1
93% (81/87)
Group 2
87% (234/270)
Large Stones Group 3
73% (192/263)
Group 4
69% (55/80)
Both 78% (273/350) 83% (289/350)

The information about stone size has reversed our conclusion about the effectiveness of each treatment. Now treatment A is seen to be more effective in both cases. In this example the lurking variable (or confounding variable) of stone size was not previously known to be important until its effects were included.

Which treatment is considered better is determined by an inequality between two ratios (successes/total). The reversal of the inequality between the ratios, which creates Simpson's paradox, happens because two effects occur together:

  1. The sizes of the groups, which are combined when the lurking variable is ignored, are very different. Doctors tend to give the severe cases (large stones) the better treatment (A), and the milder cases (small stones) the inferior treatment (B). Therefore, the totals are dominated by groups 3 and 2, and not by the two much smaller groups 1 and 4.
  2. The lurking variable has a large effect on the ratios, i.e. the success rate is more strongly influenced by the severity of the case than by the choice of treatment. Therefore, the group of patients with large stones using treatment A (group 3) does worse than the group with small stones, even if the latter used the inferior treatment B (group 2).

[edit] Berkeley sex bias case

One of the best known real life examples of Simpson's paradox occurred when the University of California, Berkeley was sued for bias against women applying to graduate school. The admission figures for fall 1973 showed that men applying were more likely than women to be admitted, and the difference was so large that it was unlikely to be due to chance.[16][3]


Applicants % admitted
Men 8442 44%
Women 4321 35%

However when examining the individual departments, it was found that no department was significantly biased against women; in fact, most departments had a small bias against men.

Major Men Women

Applicants % admitted Applicants % admitted
A 825 62% 108 82%
B 560 63% 25 68%
C 325 37% 593 34%
D 417 33% 375 35%
E 191 28% 393 24%
F 272 6% 341 7%

The explanation turned out to be that women tended to apply to competitive departments with low rates of admission even among qualified applicants (such as English), while men tended to apply to less-competitive departments with high rates of admission among qualified applicants (such as engineering). The conditions under which department-specific frequency data constitute a proper defense against charges of discrimination are formulated in Pearl (2000).

[edit] 2006 US school study

In July 2006, the United States Department of Education released a study[17] documenting student performances in reading and math in different school settings.[18] It reported that while the math and reading levels for students at grades 4 and 8 were uniformly higher in private/parochial schools than in public schools, repeating the comparisons on demographic subgroups showed much smaller differences, which were nearly equally divided in direction.

[edit] Low birth weight paradox

The low birth weight paradox is an apparently paradoxical observation relating to the birth weights and mortality of children born to tobacco smoking mothers. Traditionally, babies weighing less than a certain amount (which varies between countries) have been classified as having low birth weight. In a given population, low birth weight babies have a significantly higher mortality rate than others. However, it has been observed that low birth weight children born to smoking mothers have a lower mortality rate than the low birth weight children of non-smokers.[19]


Vector interpretation

Simpson's paradox can also be illustrated using the 2-dimensional vector space.[21] A success rate of p / q can be represented by a vector \overrightarrow{A}=(q,p), with a slope of p / q. If two rates p1 / q1 and p2 / q2 are combined, as in the examples given above, the result can be represented by the sum of the vectors (q1,p1) and (q2,p2), which according to the parallelogram rule is the vector (q1 + q2,p1 + p2), with slope \frac{p_1+p_2}{q_1+q_2}.

Simpson's paradox says that even if a vector \overrightarrow{b_1} (in blue in the figure) has a smaller slope than another vector \overrightarrow{r_1} (in red), and \overrightarrow{b_2} has a smaller slope than \overrightarrow{r_2}, the sum of the two vectors \overrightarrow{b_1} + \overrightarrow{b_2} (indicated by "+" in the figure) can still have a larger slope than the sum of the two vectors \overrightarrow{r_1} + \overrightarrow{r_2}, as shown in the example.

decoy effect

In marketing, the decoy effect (or asymmetric dominance effect) is the phenomenon whereby consumers will tend to have a specific change in preference between two options when also presented with a third option that is asymmetrically dominated. An option is asymmetrically dominated when it is inferior in all respects to one option; but, in comparison to the other option, it is inferior in some respects and superior in others. In other words, in terms of specific attributes determining preferability, it is completely dominated by (i.e., inferior to) one option and only partially dominated by the other. When the asymmetrically dominated option is present, a higher percentage of consumers will prefer the dominating option than when the asymmetrically dominated option is absent. The asymmetrically dominated option is therefore a decoy serving to increase preference for the dominating option. The decoy effect is also an example of the violation of the independence of irrelevant alternatives axiom of decision theory.

Example

For example, if there is a consideration set involving MP3 players, consumers will generally see higher storage capacity (number of GB) and lower price as positive attributes; while some consumers may want a player that can store more songs, other consumers will want a player that costs less. In Consideration Set 1, two devices are available:

Consideration Set 1

A B
price $400 $300
storage 30GB 15GB

In this case, some consumers will prefer A for its greater storage capacity, while others will prefer B for its lower price.

Now suppose that a new player, C, is added to the market; it is more expensive than both A and B and has more storage than B but less than A:

Consideration Set 2

A B C
price $400 $300 $450
storage 30GB 15GB 25GB

The addition of C—which consumers would presumably avoid, given that a lower price can be paid for a model with more storage—causes A, the non-dominated option, to be chosen more often than if only the two choices in Consideration Set 1 existed; C affects consumer preferences by acting as a basis of comparison for A and B. Because A is better than C in both respects, while B is only partially better than C, more consumers will prefer A now than did before. C is therefore a decoy whose sole purpose is to increase sales of A.

Conversely, suppose that instead of C, a player D is introduced that has less storage than both A and B, and that is more expensive than B but not as expensive as A:

Consideration Set 3

A B D
price $400 $300 $350
storage 30GB 15GB 10GB

The result here is similar: consumers will not prefer D, because it is not as good as B in any respect. However, whereas C increased preference for A, D has the opposite effect, increasing preference for B.

Monday, December 1, 2008

things to do

cut hair...done
Find way to sell shades to make space for new one...on the way
Plan Vietnam trip...on the way
massage...done
paddle...on going
Gym...on going
run...on going
Do HT...resumed
Meet Prof before he goes for Christmas break...soon
Refurnish room...decide to postpone
do balance sheet...soon
watch movies...M2 and 4xmas done...

Monday, November 24, 2008

more

Further, what is the probability that

When there's no photo finish facility and they hired girls doing part-time for them to time the race?
Worse of all these people were sitting at a tower not aligned with the finishing line?
Why the fuck were they aligned with the half way mark for?

What is the probability that whenever its that old man who bleaches his hair, looks, dresses like a pedophile as my officer at the line-up.
My boat is never ask to 1 stroke up but 1 stroke back AND with my opponents 1 stroke up.
With the icing that it's not an one off incident but has happen for the past 3.5 years

Fucking pedophile: if your kayaking team can't win honorably against my coach's.
Please don't use such cheap tactics against his other DB teams to make your cock feel better.

Fairness? In this world to talk about fairness is to talk about money ah
Justice Bao died a long time liaoz

Sunday, November 23, 2008

probability

What is the probability that NUS

Can have both boats in lane1 for their heats events?
while SIM can have lane 5 for both their mens and ivp heats?

What is the probability that on Saturday night SDBA uploaded the race schedule and line-up for Sunday, and NUS was to be in a semis that didn't seem so tough on paper
And then on Sunday morning when they reported the usher just on the spot says:
"hey everything is changed, line-up and event schedule. Oh you guys are NUS?
Ok Lane 1 for you"

what is the probability that the usher just keep scolding all the boats to buckle up their life-vests and to have footwear, if not they will disqualify the team...what is the probability that he's more afraid of someone falling off and drowning which will cause him lots of trouble versus he's really concerned of the safety of the paddlers?
If he's really concerned of the paddlers he wouldn't be using DQ as a threat to get the paddlers to behave
And why would he be shouting all those things to the paddlers only after they finish the race?

What is the probability that my banks heats was actually a photo finish between them and the second place, and when the results came out my team was actually third, with a timing that's 16 seconds behind the second place? And only after paying a upfront appeal fee of $150 then the thing was changed and my timing was cut by 16 seconds?

What is the probability that SDBA...a local ruling body for Singapore dragonboat, actually didn't have photo finish facility for the race...and everything was based on human timers with manual stopwatches for the lanes

What is the probability that at the public service race, the MOE team, compromising of all national paddlers...went off course....and demanded a re-race...and not willing to return back to shore....
such is the standard of moulders of the future of the nation
Can you imagine your child being taught by someone who spent 7 years getting a degree?
You know what he can teach your child? endurance

You know what is the probability of all the above mentioned happening?
Its the probability of seeing quantum teleportation if it's normal human beings, which by mathematical probability has only happened once since the birth of our universe.
If we are talking about SDBA, a body full of people who are interested in sucking money into their pockets, who prefer to spend money eating banquets themselves rather then building facilities for the people, who simply rest on their laurels because they are the single ruling body here...a peseudo monopoly,
then the probability is one
You can even see how the SDBA selection team's character being moulded and inherited from them man

Sunday, November 9, 2008

left out on previous post

Forgot to say that the author has also mastered the proof that for a k-regular graph.
K will be its largest eigenvalue with multiplicity 1 and all one vector as its eigenvector

Thursday, November 6, 2008

progress

First time was spent on getting the basic notations, definitions on algebraic graph theory

Next up the author learn/understand/write the three different kinds of proof for the classic Hoffman bound
The proofs uses linear algebra, semi definiteness and interlacing of eigenvalues respectively

Next up he considered a graph generated from a combinatorial point of view, claim is that the largest independent set of this partition graph is an equality on Hoffman
more precisely its an equality for the smallest eigenvalue

the largest independent set and clique has been found using Erdos-Ko -Rado theorem and "Berrynice" theorem...inferring that this graph satisfies AlphaG.OmegaG <= V(G) at equality

the author tried to classify this partition graph under one of the few known regular graph that satisfy hoffman at equality but failed

So the attempt to prove the conjecture begins,
People from another universoty has suggested using association schemes, generalize the phenomanon to known group theory results and project it down again
The author is currently looking at the matrices and main graph and its equitable partition.
There seems a pattern with the "compression matrix" containing the largest and smallest lamda of its "elder sibling"
The author conjectures this more general fact and hopes to prove it, which by far will then be a result in matrix theory and yet serves to prove his original conjecture on combinatorial graph theory

Currently the author is trying to come up with random sample matrices for his compression theory and using MATLAB, the conjecture has not broken down yet.

Thursday, October 30, 2008

$$$

Let's count how much money i have received so far....

$4000 + $5500 + 2 years of school fees=4000 + 5500 + 13000+++
= $24000

So since my pay has already been given a lower bound, let me just use it to gauge against others who will seek to find jobs under the "brokenback" economy next May....let me gauge against the best of the best...

24000/300=80months=3 years plus plus
Hm...counting back like that, i don't think i want to complain much then...

But still complaining less doesn't mean no complain,
Somebody still deserve to get punished for robbing my Canada pie
If not i could have just spend these 2 sems doing FYP, working part-time, or working to get an economics or statistics minor

infinity vs finite

If you have a finite number of tasks to be done in a finite amount of time, can it be done? Simple arithmetic question

If you have a finite number of tasks to be done in an infinite amount of time, can it be done? trivial

If you have an infinite number of tasks to be done in a finite amount of time, can it be done? Needs some math analysis on convergence vs divergence
Example: 1 + 1/2 + 1/4 +...=2, which means in can be done under this frame.
Proof: Assume series on LHS converges to X
So X-1=1/2 + 1/4 + 1/6=0.5X
therefore X-1=0.5X
=> X=2

If you have an infinite amount of tasks to be done in an infinite amount of time, can it be done? Needs logical arguments, but arguments for both sides have been produced and recoginzed.

Morale of story: There exist infinities of different cardinality, in fact there exist an infinite amount of infinities.

Doughnut

Ok after reading more works for my FYP...which by the way is some advanced group theory known as associative schemes where elements in this space are made to permute each other and i will sum up all the possible permutations. While having uniform k-class partitions of size 2

Since i have only partitions of blocks of size 2, my eventual abstract setting is like a torus, doughnut isn't it?

Wednesday, October 22, 2008

shape of universe

After so much research done and stuff we are still trying hard to figure out the shape of the universe...
Wont it be good/funny/mocking if the shape of universe is indeed like a doughnut as predicted by Homer Simpson?

Well its a big big doughnut indeed then

Zeckendorf's theorem

Zeckendorf's theorem states that every positive integer can be represented in a unique way as the sum of one or more distinct Fibonacci numbers in such a way that the sum does not include any two consecutive Fibonacci numbers. More precisely, if N is any positive integer, there exist positive integers ci ≥ 2, with ci + 1 > ci + 1, such that

N = \sum_{i = 0}^k F_{c_i},

where Fn is the nth Fibonacci number. Such a sum is called the Zeckendorf representation of N.

For example, the Zeckendorf representation of 100 is

100 = 89 + 8 + 3

There are other ways of representing 100 as the sum of Fibonacci numbers - for example

100 = 89 + 8 + 2 + 1
100 = 55 + 34 + 8 + 3

but these are not Zeckendorf representations because 1 and 2 are consecutive Fibonacci numbers, as are 34 and 55.

For any given positive integer, a representation that satisfies the conditions of Zeckendorf's theorem can be found by using a greedy algorithm, choosing the largest possible Fibonacci number at each stage.


Proof of Zeckendorf's theorem

Zeckendorf's theorem has two parts:

  1. Existence: every positive integer n has a Zeckendorf representation.
  2. Uniqueness: no positive integer n has two different Zeckendorf representations.

The first part of Zeckendorf's theorem (existence) can be proved by induction. For n = 1, 2, 3 it is clearly true, for n = 4 we have 4 = 3 + 1. Now let each n \leq k have a Zeckendorf's representation. If k + 1 is a Fibonacci number then we're done, else there exists j such that Fj < k + 1 < Fj + 1. Now consider a = k + 1 − Fj. Since it is a < k, a has a Zeckendorf representation; moreover Fj + a < Fj + 1 then a < Fj − 1 so the Zeckendorf representation of a does not contain Fj − 1. Then k + 1 can be represented as a + Fj. Moreover, it is obvious that each Zeckendorf representation corresponds to only one integer.

The second part of Zeckendorf's theorem (uniqueness) requires the following lemma:

Lemma: The sum of any non-empty set of distinct, non-consecutive Fibonacci numbers whose largest member is Fj is strictly less than the next largest Fibonacci number Fj+1.

The lemma can be proved by induction on Fj.

Now take two non-empty sets of distinct non-consecutive Fibonacci numbers S and T which have the same sum. Eliminate common members to form two sets S' and T' with no members in common. We want to show that S' and T' are both empty i.e. that S=T.

First we show that at least one of S' and T' is empty. Assume the contrary i.e. that S' and T' are both non-empty. Let the largest member of S' be Fs and the largest member of T' be Ft. Without loss of generality, suppose Fs<Ft. Then by the lemma, the sum of S' is strictly less than Fs+1, and so is strictly less than Ft, whereas the sum of T' is clearly at least Ft. This means that S' and T' cannot have the same sum, and so S and T cannot have the same sum. So our assumption that S' and T' are both non-empty must be incorrect.

If S' is empty and T' is non-empty then S is a proper sub-set of T, and so S and T cannot have the same sum. Similarly we can eliminate the case where S' is non-empty and T' is empty. The only remaining case is that S' and T' are both empty, so S=T. We conclude that any two Zeckendorf representations that have the same sum must be identical (up to order).

[edit] Fibonacci multiplication

One can define the following operation a\circ b on natural numbers a, b: given the Zeckendorf representations a=\sum_{i=0}^kF_{c_i}\;(c_i\ge2) and b=\sum_{j=0}^lF_{d_j}\;(d_j\ge2) we define the Fibonacci product a\circ b=\sum_{i=0}^k\sum_{j=0}^lF_{c_i+d_j}.

For example, the Zeckendorf representation of 2 is F3, and the Zeckendorf representation of 4 is F4 + F2 (F1 is disallowed from representations), so 2 \circ 4 = F_{3+4} + F_{3+2} = 13 + 5 = 18.

Tuesday, October 7, 2008

on being 31

My HT supervisor is 31 years old

Has a first class honors math degree
Masters in pure mathematics, pass with distinction, his dissertation was on group theory...(yar i know grasp)
PHD in mathematics

Based in Caltech, it's hard for Asians to find a place in a ang mor university....
Has worked with world-class mathematicians...well least those people has articles on Wikipedia
Published many, gave many talks...
Works on combinatorics, algebra, graph theory...just a single one is enough to kill

My brother is 29, and his time is spend on renovating his house, wedding preps, passing ippt after failing numerous times, praying for stocks to bounce back

When i'm 31?
teaching some NT boys in some secondary school? marking scripts and attending meetings?

Thursday, September 18, 2008

billard cue

Studying a pure math degree in NUS is like someone taking a billiard cue and stuffing up your arse, slowly

And then only at the last part they activate the spikes

Monday, September 8, 2008

social experiment

My friend was telling me that in this world you need 2 sets of rules; for the obedient, and for those that don't wish to obey official rules I.E: the underworld people...he went on to say how there's actually order in chaos blah blah...

I simply shut him up, assure him that his topic is good for writing his essay. But definitely not a reflection of society
We need 2 sets of laws, one for the rich, one for the rest...the former might even be a null set actually, but it's still a set.

Tonight everyone reading this is going to be part of a social experiment
If you have the chance to go through what the ex NKF CEO went through and need "suffer" the circumstances now...will you accept it?
He's imprisoned for a few months...family disgraced...blah blah
BUT
he splurged god knows how many millions taking first class flights and golden taps and toilet bowls for his black arse. With of course a stealth "X" amount of dollars hiding in some foreign banks collecting interest as he sits in his prison cell...all of this just for a few months of prison?
Pretty worth it isn't it?
--> interested readers might even view his "X" amount for his acting and cover mouth fees


Wait a second, just in case you are some high level civil servant reading this and thinking" what the fuck man, this guy is never going to get promoted!!!"
All these are just talking cock...

Why so serious...

hahaha...

hehehe...

hohoho...

WHY SO SERIOUS

rich VS powerful

if you have a choice, do you wish to be rich? or powerful?

Bear in mind that if you are rich, every father mother son is going to lick you foot and wanting to be your friends, including the powerful people
However if you are powerful, you may not even be rich, or that rich

See that the "leader of the world" draws a lower salary than "king of the red dot"
and we are not even counting the "side pocket"

Thursday, September 4, 2008

pie

where's my pie?
The American pie

Instead of getting the American pie i keep getting pieces of pork
cheebye take lesser money than them but the pork are equally much

Monday, September 1, 2008

Algebra

I'm actually so ashamed of keep asking Weicang on Algebra definitions that i thought i better type them out in an effort to remember them.

Group G
a set of elements with a binary operation defined on it such that x.y=z, where x,y,z are elements in G, . is the well defined binary op.
for every group there exist an identity element such that x.1=1.x=x
the binary op is associative
for every element in the group there exist an inverse such that x.y=1, note that the op may not be commutative

examples of groups are: even numbers, prime number congruent modulo group, 2x2 matrices

Homomorphism H
a mapping on a group such that H(x.y)=H(x)H(y), note that x.y remains as an element in G

Isomorphism I
a bijective homomorphism

Automorphism
A isomorphism from a group to itself, domain = codomain
thus preserving the structure of the group
the set of all automorphism of an object itself is a group
the automorphism group

More important for me...
In graph theory an automorphism of a graph is a permutation of the nodes that preserves edges and non-edges. In particular, if two nodes are joined by an edge, so are their images under the permutation.
And once you take all possible permutations and generalize them, you can an automorphism group.
and when two groups are representing two different graphs are actually isomorphic, they share the same structure and problems under one graph can be carried over and study on then.

Monday, July 21, 2008

pretty/ugly girls

So on Saturday i witnessed something

There's this girl who purposely threw a tantrum to make other people change their plans in order to go along with hers.
All just to please herself

Then i realize,
Fuck man she's one ugly bitch

So i though: is the above phenomenon an "if and only if"
Because if she's one hot babe, there will be dozens of guys waiting to please her and she need not disgrace herself like this to make herself happy isn't it?

Medical certificates

I used to think that only our country's soldiers will fall sick so easily on Mondays and Fridays

Seems that the "moulders of the future of our nation" have this tendancy too

slavery

For those who have been reading soccer news. will agree with me that the hottest news for the past weeks/months have been the Ronaldo transfer saga

one/two things caught my attention
The Fifa president claimed that R is like a modern slave
and straight away gena shoot up down left right
Soccer legend Pele claims that the money ronaldo is earning, how the fuck can he be termed a slave

Bringing this back to myself....
i realize i have been serving at Hua Yi without any pay
no reimbursements for my meals, transport, relief lessons

but i am definitely not a slave, this experience is priceless blah blah blah

overseas experience

For two times chances to go overseas and nua for 3-4 months slipped passed/or was snatched away from me

and according to my celestial calculations, i still have 1 more chance
I'm not going to let anyone drag me down anymore
I'm not going to let anyone obstruct me anymore

nothing is going to stand in my way

things that i learnt

Right finally got the chance to sit down proper without much constraints, get to sip my tea and enjoy the pace of life

something new that i learn

  • studying math in NUS is like someone taking a billiard cue, with spikes, and shaft it up your arse, SLOWLY.
  • They are really a bunch of idiots, can't think, and still like to act-beng
  • Teenagers actually think that wearing ankle socks and thick-edged spectacles are cool
  • There are always people who are out to suck your periods, till the extent that they even memorize your time-table
  • And when "these" people achieved their aim, they behave like some aunties having got a cheap bargain or something
  • p.s: I'm not saying that people guilt of such acts are aunties, but infer anyway you want

Thursday, July 10, 2008

4D

hm...over the weekend my father NEARLY struck 4D

he was 1 digit away from the top prize...
1 digit away from 10K

so obviously he was a bit tui....
he though it was so near, yet so far

Being a bit more critical, analytical
i gave it a bit more thought
and realized
it's actually not so near, but quite far

probability of striking top prize is 1/10000?
but the probability of have 3 similar digits is...9/2500 if I'm not wrong

which is 36 times more likely you know
the chances are even lower than buying system 24

no wonder they don't give payouts for striking 3 digits


another fine example of how math thoughts can defy common layman logic
i love mathematics, and meta-mathematics

Tuesday, July 8, 2008

movies

MOVIES MUST WATCH

1) the dark knight (DONE)
2) hellboy 2 (DONE)
3) the red cliff (DONE)
4) wall E
5) Money no enough (newly added)
6) Mummy 3

MOVIES TO CATCH UP ON
1) 21 (DONE)
2) the bucket list (DONE)
3) hulk
4) iron-man

leader

what makes a good leader?

Results? popular? Good aftermath after your reign?

I say
a leader can never be judged upon short-term results...(1)
a good leader must be flexible, able to change his management style according to the situation, package he is given.
He might be the bastard today, and be the water boy tomorrow, all so to achieve good results

Some people are lucky, they are given tasks and subordinates that suit their ONE AND ONLY management style...and they achieve good results...so are these people "good leaders"?...refer to point (1)

A good leader must also be someone who knows where to get his advice...just look at the long history of China emperors...some cui due to believing in treacherous officers while some prosper due to choosing the right pillars of the state
A good leader must be broad minded, as his/her higher echelon may not like him/her and choose to trust more in someone else (thus skipping the downward chain of command)...but he/she shouldn't be jealous and should still be carrying out his/her task in a professional manner rather than playing politics in order to gain favor
A good leader must be someone who takes all the blame for all defeats, there are no lousy soldiers, only lousy generals.

What's a bad leader?
Basically the contrapositive of all above statements


Given many chances, tasks, assignments, leadership posts...but can't achieve results in every single one of them.
Basically looking at historical track records...
Note: If you were to continue giving such losers tasks and assignments...eventually he/she will make it...and it's not because he/she has improved ok...
Its just a mathematical fact...
win/lose always has some probability attached to it

so you can't possibly LLLLLLLLL... all the way....somewhere there's bound to be some( >1) slotted in....like this
LLLWLWLWLLLL
Realize that L still dominates the above chain and thus this person is still a bad leader...

He/She will also be pointing at other people, things for his/her failures to lead
Blame this, blame that, blame everyone but himself
gain face? or just some inert quality?
Perhaps,maybe those things and people did cause the losses and failures
But it's ultimately the leader's fault for failing to curb those fuck-up-ness in the first place isn't it?


That's all for the day :>
p.s: I'm not sure if you are reading this but please be strong and try to recover fast? I understand that 2 setbacks + 1 disappointment is indeed hard to swallow...
but the force is with you my dear apprentice

thoughts

There are a few kinds of people in the world...mainly the "doers" and the "thinkers"
These two traits are definitely not mutually exclusive and can co-exist together
And if you are neither...you better make sure you are damn talented in something appreciated in order to survive in the modern world

IF you are a pure-doer, you better make sure you have lots of brute force such that people will actually respect you due to your unlimited brute force
IF you are a pure-thinker, you better make sure you have good political flair and persuasion skills so you can have your show being run while staying backstage

People who don't think deep enough, especially when it relates to some sociological entity that they do not physically belongs to anymore, will often carry wrong thoughts and be disillusioned by any lies or acts carried out by...oh wells, actors.
And because of the fact that either they don't think enough or they can't think that deep enough...the lies that they are exposed to stick to them forever and they treat it as some mathematical tautologies
These people...oh well least they have a simple world though they are never exposed to the truth...but people in the past had lived well with the "fact" that the Earth is flat isn't it...
These people...they never see the right in the "wrong" things they hear, see, observed and they never see the wrong is the supposedly right things happening in the abstract sociological entity.


Me? As long as it's something I'm passionate about, i will put lots of thoughts to it, and i would say my brain power isn't that weak ba.
And i definitely won't mind doing the supposedly wrong things so that i can achieve the right things in the end.

Friday, July 4, 2008

the unforgiven sin

hm...today thye heng told me about his friend who is away at university of Waterloo now...
which means this friend of his is away on the dream summer exchange that i had hoped for

I wonder if she got her seat at the first round
or she got her seat because i was literally forced to give up mine
i wonder if MOE allowed her to go because she's a year2, which means she still has 1 year to serve her secondary school attachment (even though by right i can still go serve this attachment after my year4, before i enter NIE)
or is it because she's under the MOE scholarship scheme

either way, I'm reminded of the injustice i suffered...which explains why I'm still awake...

Tuesday, July 1, 2008

something i learnt today

When during a focus group discussion

the people who are thought to be the most talkative ones should be sitting beside the moderator, while the more passive ones should be sitting directly opposite the moderator.
This move ensures that the active ones get the least attention while the passive ones get the most attention, and will be encouraged to speak up more.

Wednesday, June 25, 2008

thoughts

Hm...after some thinking i decided to apply for sports grants despite my unimpressive CAP score,
hopefully the same miracle that happen to my MOETA interview strikes again.

Besides, I'm also using that as a sign whether i should extend my contract with the team or not also.
If not...
Signing off guys...
It's been fun

Thursday, May 29, 2008

results

Game theory...A...thanks to inspiration from watching "a beautiful mind" numerous times this semester
science of music...A...thanks to Daniel and Qiaozhi and tan jo
3D geometry...B+...myself to blame for too panic during exam
Computational finance...A-...myself to blame for thinking too much during excel exam
Math logic...D+...I'm not complaining

Need to go temple to return the prayers

math book

i just finish reading this wonderful math book from the library and i better type down whatever i remember....
i once receive an e-mail highlighting the striking parallels between Lincoln and Kennedy and was actually fooled...but in actual fact, its only normal for them to have those similarities, 1 men's lifetime is full of thousands, millions of data and for 2 men to share like only 10 of them? ITS PERFECTLY NORMAL, STATISTICALLY

just like how those psychologists do experiments by separating twins and see how they grow up, usually these twins might have some similarities which will amaze some people, but in actual fact they need not be twins or related to have those similarities...

same as those investment scams when they can actually predict correctly for 10 consecutive weeks....its all because they send all different kinds of mails to a large database, each week they just have to shave off half the population

chaos theory: in maths chaos theory is not referring to how chaotic the equations are, but actually how a minor change in the initial input can cause a dramatic change in the eventual outcome, thus in chaos theory we believe that the outcome depends greatly on the initial conditions and since a small change and interference somewhere can cause great changes...we aren't able to predict things in a long run...like weather

imagine you have a piece of A4 paper, each iteration you fold it into half, after 50 times, how high can you get...? a foot? a building?
You can reach the sun dude...
don't believe?
try punching 2^50 on your calculator
p.s: i can't guarantee smoke won't come out from your calculator

the Fibonacci's sequence, the entries in it is found everywhere in nature, the number of left or right spirals on a pineapple, a daisy flower, a pine cone,

for any three consecutive Fibonacci numbers X1, X2, X3
(X1)(X3) and (X2^2) always differ by 1
once there was an area paradoxical puzzle on all MRT trains...this explains it...there was a nearly invisible 1 unit square area in the triangle

this beautiful relationship is also true: X2/X1 - X3/X2 = +- (1/(X1X2))
golden ratio = 1 + 1/1+1/1+1/...forever
and each time if i were to shave off the one and 1/, i still get the same answer
thus
phi = 1 + 1/ phi
phi= (1 + 5^0.5)/2
there's also a sequence of numbers, the Lucas numbers, whose initial conditions are 2, 1
and they allow us to get the golden ratio too!!
thus the essence of Fibonacci lies not in its initial conditions, but its process

Divine proportions, the golden rectangle
how to draw one
draw a square, extend out the bottom line towards the left, mark a center point at the bottom of the square. using a compass, fixing it at the center point, starting from the top left corner of the square, draw a curve down to the bottom extended line.
link everything up, we have a golden rectangle...
i hope the rigorous proof of this stays with me forever...simply start by assuming that the square has length 2

the golden rectangle is the only rectangle that possess the same ratio property after squares are shaved off
if we take our image and place a quarter circle within each square, then we create a beautiful spiral. this spiral is close to a LOGARITHMIC spiral...the mathematical abstraction of the natural curve exhibited in the graceful nautilus shell.
the ratio of your height and that of your belly button is almost the golden ratio

we also have the golden triangle...its the triangle that arose during our construction of the golden rectangle...its a right angle triangle with one leg twice as long as the other leg
if we make four copies of the triangle, they can be assembled in a straightforward manner to produce a triangle having the same proportions as the first, but with twice the size of the original.
the golden triangle is also the only triangle for which five copies can be assembled to produce a larger copy of itself
YET
we can also repeat the regeneration process involving only four copies and we can produce a tiling of the entire plane...that is, an endless floor.
this pattern tiling...is known as PINWHEEL tiling, its aperiodic, which means it has no repeated pattern that would allow us to re-create the pattern after a translation. This chaotic or jumbled image does possess an attractive dissonance.
We do see it in some churches...

Monday, May 26, 2008

game theory of religion

you believe in it, you pray.
you invest some time, effort and money

some go to smoke infested temples, some go to air-conditioned and very comfortable churches

If it exist, you gain some good will and benefits...since there are always people who pray for striking 4D and good results
If it doesn't, you don't really lose much.

Thursday, May 22, 2008

squaring a circle

Squaring the circle is a problem proposed by ancient geometers. It is the challenge to construct a square with the same area as a given circle by using only a finite number of steps with compass and straightedge. More abstractly and more precisely, it may be taken to ask whether specified axioms of Euclidean geometry concerning the existence of lines and circles entail the existence of such a square.

In 1882, the task was proven to be impossible, as a consequence of the fact that pi (π) is a transcendental, rather than algebraic irrational number; that is, it is not the root of any polynomial with rational coefficients. It had been known for some decades before then that if π were transcendental then the construction would be impossible, but that π is transcendental was not proven until 1882. Approximate squaring to any given non-perfect accuracy, on the other hand, is possible in a finite number of steps, as a consequence of the fact that there are rational numbers arbitrarily close to π.

Wednesday, May 14, 2008

the young padawan

"
when i first join this team .. 2 seniors once told me .. the team is politically 'clean' .. meaning no politics .. I'm from council background... from there .. i already realized .. the top 2 positions of a team .. actually doesn't need to do much .. just need to set direction .. and be the names in the structure of a team .. thats all .. pretty much depends on the subsets of the structure

and that .. this MIGHT be the 2nd time i m experiencing incompetent leadership .."

Wonderful, the force is strong with this one
looks like Darth Sidious has to recruit one more apprentice

fuck

Today some fuck thing really happen

Due to some lousy coxing from MK, i fell into the water.( of course u can say that i fell as I'm not as skillful as Mr Nasiman)
And lost my cap, a cap that is no longer in production and i have to spend half of my pay from today to buy a new one

Fuck man cox for like 1 semester already still make such mistakes
and only know how to make sorry faces
Even training also blur like fuck and not interested and focused at all
only know how to make sorry faces

such is the brain of a double major CAP 4.3?
oops i forgot its FASS

FASS 4.3 = 2.3 in SOC or MATH?

anyway don't know heard from who he's going after PZ?
Good
good

morons and idiots make a wonderful pair

i don't wish to be unfair, but its time to play politics, and apply game theory


watch out dudes

Tuesday, May 13, 2008

grandma

On Sunday my family went to visit Granny (we visit frequently so its not just cause of M-day)

she seems to be getting thinner each time
more wrinkles
doesn't seems to be eating much, i'm afriad she's too lazy to cook for herself and as long as she doesn't have appetite, she doesn't eat...which is wrong
Being thrifty by nature, she sometimes heat up leftovers and eat for the next meal

when i was much younger, separation issues never occurred to me, it was when i turned 18 and i started to experienced friends' parents passing away and stuff i realized death is so near us
i read more news and see natural disasters happening all the time, anyway in case you don't know geologist have claimed that the recent earthquake in China is caused by men's actions


haiz...shen lao bing si

Saturday, May 3, 2008

Business ideas

A few business ideas that hatched in my head...

1) this occurred recently
--> open sweet talk franchise at YIH, hire some specific people to work there, no machine blender, all are to be done manually

2) this occurred in first year of army
--> during CNY go buy a lot a lot of Big sweep, TOTO, 4D quick pick tickets. Then dress up as fortune god and sell them away at double the price. Or set up a vending machines that trades all the tickets mentioned above...price remains as mentioned, machine shaped like fortune god, with music playing.

3) a year ago
--> set up a soy bean drinks stall outside SDBA, and also a massage parlour...both open during weekends can already

4) 4 days ago
--> during the exam period and on public holidays, set up a make shift food and drinks stall at YIH, FASS, FOS, FOB...need not be very good stuff...just do it like those construction site stalls...but of course must make the packaging look good

5) second year of army
--> open up a club...hire some hot chicks to patronize the club day in night out, they must never say no to any men's advances. So after a while there will be a massive man crowd coming here thinking that there's lots of cheap sluts waiting to be preyed. Of Course they might get too used to the girls and thus we need hire new ones...thats when multi level marketing comes in, get the old girls to bring in their friends, i give them pills, drinks. On top of there the girls stand a chance of hooking up a rich man.

Viola!

occupations

An economist and philosopher. Both occupations happen to piss me off. The first makes predictions that never come true, the second never ever contributes to the world. Progress is made on the backbone of people who walk the talk, not talk and talk some more.

Tuesday, April 29, 2008

decisions

I remember like 4,5 years ago i applied to go NTU business after A's came out.... i didn't put second choice...1 whole list of places to put, i put only one....and got in

i felt a bit lost...as i didn't have econs background....and i was afraid it would cost me. But i was in the army then and i thought "what the heck, leave it there first, have 2 years to think about it"

so one day when i was at the level3 I/C table...i thought to myself...perhaps i should pursue my interest...mathematics?
so off i went...applied for NUS maths
ONG said i was an idiot
my brother rolled his eye on me...he had told me previously that the engineers in nus are darn zai in math, so that's an indication of his math standard ah


ah....if i stick to the commoner's choice...i'm just 1 week from graduation
the choices...engine, business...the choices that seem so normal coming out from JC

i was afraid that no econs background will give me disadvantage in biz...haha come here face the PRC army isn't that worse....

new VS old

Ah i wonder why people in the past can create so much work, but advancement now is so slow

My prof say people in the past didn't have much to do...no PS2, no PSP...so when they are free they just try solving equations
they didn't have internet, they didn't have 24/7 cities.
They don't think of solving the equations only from 8-5

$$$

How long can i live in the denial that money isn't everything, money isn't the most important thing in life?

when am i going to start using my brains to start grabbing money?

In our society( a consumerist one) we tend to think that
knowing how to make money= being smart

yet say...if there's a beggar on the street who knows how to solve P vs NP, most people will still say he's a loser.
Yet if there's a bugger who makes millions a month from doing MLM, but don't even know simple algebra or arithmetic, we will call him a genius.
Why?

Because of the way our big brother has shape us, sending us into schools that's equivalent to production lines....

Wednesday, April 23, 2008

desperation

This part of my life

this small but seemingly never ending part?

is call

Desperation

eureka

I'm sure everyone would have some eureka moments in their lives

And i wish to type down one that has been appearing in my head recently
, it really isn't one technically but it was for me then

primary 4....at 10am...the teacher just finish teaching "average"
she didn't teach anything regarding its meaning...just the formula of "summing everything up and divide by the number of entitles that you sum up with"

so after recess when we have to form 2 rows and walk back to the class room, i was thinking about this "average" issue...it really bothered me since i realized that it was used in seemingly different ways by my English and Maths teacher
then i realized suddenly...average is like finding the center point? so if you score 100 in test 1 and 90 in test 2, their center line is 95, which is their average...? so with that thought in mind upon reaching my desk i trial and error with all sorts of numbers and it all proved my "hypothesis"


ha ha childish and idiotic i know but that eureka gave me a temporary happiness

sacrifice

Was reading a friend's blog...shall not disclose his name today....

"I was thinking about Jim's advice. And actually a lot of other people's advice. To do what your heart tells you. I don't really want to get all my As. Or get into business. It was a cold calculated decision. Easier to get first class. Easier to earn more money. Why get As if I can't get any awards and scholarships for it? Pointless. learn for the sake of studying? Don't make me laugh.

I secretly detest friends when they stay in hall and flunk like retards. Wasting their parents money simply because they can. I wanted to stay in hall too. Or join those student activities. What? Studying is fun? Kiss my ass. That's why I told Y. Aiya. Life's like that. No time to keep worrying about it. Point is one thing.

Money. Say it with me. Money. There are people who are lucky enough to do what they want. Then there are us who do what needs to be done. Too bad. Someone gave up her chance of a happier life for me. Now I do what I can to make her as comfortable as possible for her last lap of life.

Maybe along the way I'll find something to be happy about. If there's something I learnt, raising kids is a fucking pain in the ass. A chain to pull you into the depths of hell when nothing goes right. And if you choose to break that chain you get a chance to send your flesh and blood into hell instead."

haizzz i feel i have let my parents down

science of music

alrite so both test results for SOM are out and i score full for both
I.E 50% of the module is secured and just pray that the essay and music piece doesn't screw me up

need to thank QZ and GM
GM for recommendation of this wonderful module, at least i learn that math is ever present in music and Pythagoras was a musician too

i remembered that during the quiz 2 of my computational finance module some buggers forgot to bring their calculators and i was think "what the fuck man"
but however during my SOM quiz2 the next day, i actually forgot to bring mine too...hah must be freaking karma

but lucky i'm still quite good and relatively fast at arithmetic and thus was able to finish the paper with slight ease
i remembered finishing the paper twice and the girl beside me was still punching her calculator furiously... since we weren't allowed to leave the venue and it was an open book test i actually took out my TODAY to read

haiz how i wish i can have the same experience with my math papers, not the forgetting calculator part of course

p.s: i need make a mention that not all math mods require calculators, this semester i have 3 math exams, none really requires it. At least one i confirm don't need.
those people that you are think cannot live without their calculators? Those are the engineers that you are talking about

big

Think of the biggest number you can think of....





quadrillion?
that's 10^15...which is 1 followed by 15 zeros


now say 10^80...that's the estimated number of photons in the universe

and
(10^230, 10^1000)?
that's the estimated number of encrypting keys in the internet
i know that's quite a fuck up estimate interval but I'm sure we all have learn to live with fuck up things
now the keys are made up of prime numbers, which are the basic building blocks of math
primes which occur in a seemingly random manner on the number line

Tuesday, April 22, 2008

huh?

"If it was so, it might be; and if it were so, it would be; but as it isn't, it ain't. That's logic."
Lewis Carroll - Alice in Wonderland

some math

Taking a break from revision so i thought i clear some math thoughts here to save some space....

you know those ancient middle east...scientists/mathematicians/religious people...

I'm not a religious person so even though I'm respectful, I'm not really concerned with the differences between Jews, Christians, Muslims, bible or the Koran.

The ancient Jews believed that god speaks to us through numbers, and they had indeed created their language with a hidden numeric code
Obviously i can't write their language here so i give all the American translation

taking their language...if you decode their alphabet letter by letter and through some decoding techniques....
you get


Father---> 3
Mother--> 41

Child--> 44, which is Mother+ Father

Garden of Eden--> 144
Tree of knowledge in the garden --> 233
Take their quotient---> 1.618...which is that?
Golden Ratio

The Fibonacci's sequence...1,1,2,3,5,8,13,21.....
if you take the ratio (Xn+1)/(Xn),
and let n approach infinity
you get?

Golden ratio

Everything in this world can be represented by numbers. If you can grasp any system, you can represent them with numbers. See through them, you see patterns...and that include the stock market, grades system

Certainly i don't believe in Christianity but i do believe in god and this abstract holy entity governs all these questions that mathematicians have been trying to solve ever since mathematicians existed.

Sunday, April 13, 2008

over-train

nowadays when people don't come for training, they give lousy reasons like sick, over train, injured

now...edward is sick...for the second time in 3 weeks...and its claimed that its because he trains even before he fully recovers...
chey what a cui body constitution, as if i havent been through such things before...last time year1 i sick go training still gena fucked by that idiotic Mtoo for being too weak?
over train? i havent even seen him training hard before lah,
to think he's a regular, i'm actually paying taxes to feed such rubbish to defend my homeland?

and darren...strained his shoulder? from what? from the fitness test eddy gave on thursday?
fucl lah give better excuse can or not? so easily strained that all the muscles seriously for show one meh? want to study and skip training just say lah, want to go clubbing and skip training just say lah
if you can strain your shoulder so easily then you should seriously be the waterboy of the team
can't even go through a fitness test properly but can row june race? what a joke
and it's even funnier that my captain and vice-captain believe such nonsense
i had always thought that people from the toilet paper degree faculty are good at coming up with excuses...didnt know that it contains such a loser


this is a sport for tough men, not mama boys, pretty boys wanna be, sissy boys
it requires discipline, commitment, maturity

Friday, April 11, 2008

slut

So there's this girl that pissing me off, totally

--> she's good at acting
--> she's petty
--> she's wasting tax money in pursuing a piece of toilet paper


she's good at acting to gain self pity?
she somehow managed to go into year 4 when her CAP is nowhere?
i need make a mention that in fass the min criteria is 3.2....in science its 3.5....some QC just in case
in case of what? sluts of course

well....recently there's this nus sex survey...and there's was a public outcry...and Jamie yeo wrote an article title" nothing is going to stop them , seriously"
in it she mentioned how she knows a few nus girls...some stay hall some don't....those stay hall bring guys not even in nus...to do it...
some not in hall....actually did it with professors to pass or get a good grade?

Perhaps perhaps perhaps

child

ok if in the future my child says he/she wants to study in a specific faculty in nus....

I'M gg to freaking slap him/her till he/she wakes up his/her idea



question to ponder upon...even among the students we are looking down on them, i wonder if the the professors do it too?

p.s: the saint who use correction pen and wrote the holy words at the engine toilet....if i have a chance to meet him i will bow to him man....
maybe i met him before already...

nteam trial

Alright so apparently my captain wants to go for NTEAM selection trail
he claims its his personal dream and can't "sacrifice"

such brainless thoughts

who doesn't and haven't make sacrifices for the team?

and he did once implicitly told the team...don't go for the trial, well his actual words were..."i won't stop you, but don't let nteam training conflict with nus's"
" is the PM cup more important or a seat on NTEAM more important"

like fuck lah...obviously it will clash right?
even if won't clash, say you get selected...the moment you spend 1% effort thinking about Nteam you are compromising already isn't it?

captain...leaving the team one side and going for his personal dreams?
can you imagine a father leaving his family one side and pursuing his own dreams?
LFLS

P.S: my captain once won rookie of the year and team player of the year award....conclusion?

either you can win those awards by being an actor instead of being an athlete
or NUS is brainless in giving out awards, just like how they give toilet paper as degrees to some faculties


p.s.s: in this area i'm an absolute bijective function with my coach in terms of thoughs
" if you are good, people will approach you"
good at paddling, not at acting that is

family

so my a friend of my got accepted by SIA to be an air-stewardess

but she rejected it

why?

cause ever since she went for the interview her dad stopped talking to her,
and she values family more than anything else


how touching...
read out for my next post

tibet

Hai recently i had a dinner disagreement with my parents on the tibet issue

i feel that china can't even get such politics done...so why are they even hosting the games?

my father said...well apparently the ang mohs are only "helping" tibet cause weakening is the goal...like good old Russia
my mum said...Lamas are evil...can't be trusted...they have been planning such a evil plot long ago....

well my dad was born in china and is a china fan, my mum's "lama theory" comes from TV shows...shows produced by china stations

Read from ONG' s blog about how information is hidden and only selected stuff are reported in the media...like how why people didn't called for boycott of Atlanta and Sidney games under similar circumstances then
Well...what i feel is...the lama's aren't wrong...just that those people with white skin are...haiz

trash

Well currently i have lots of thoughts in my head and i better clear them here so i can have some space for studying...

Recently it's discovered that two guys who have left the DB team are still borrowing the fish tank gym key to train under our NUSDB name...for the past 3,4,5 months?
fuck them
such lousy ethics can only be trained through lousy family and schools and army units

i know long ago that YNCJ (read this in the language of negation) is a rubbish school, so these 2 idiots prove that rubbish school produce trash, not students

lesson of the day? send your children to international school, to be safe.

Wednesday, April 9, 2008

Reaped this off ong j y's post....again

"everyone needs a hero. Some role model to emulate and strive towards"

i guess mine is Charles Eppes?

Now...with two weeks to exams...i have thought of a few alternatives to survive this round

1) pia lecture notes and tutorials till no day no night
2) go and master the chinese martial arts "xi xing da fa", fly to ULCA, apply it on Prof Terrence Tao and fly back for exams

hm...i guess (1) seems easier

well on a side note, my prof introduced this #1 journal in mathematics....
the title is "Anals of Mathematics"

oops sorry its "Annals of Mathematics"

Friday, April 4, 2008

about the SCR team

oops forgot to mention the SCR team on my previous previous post....

well they are just a team of 8 members...including my ex platoon mate VICTOR CHAN MAN HOE!!!

so over dinner just now...i was telling him...so technically speaking the SCR's strength is just 7.5 isn't it?
or its 6? since 1 guy has to be send to look for him "teying" somewhere....

Haha some lame crap shit oldie jokes...what fond memories....

and chan made mention of Sgt Sing,the man with twice the effort and half the results and his air-con story again....he still likes to bring that up after like...3,4 years?

"aiya the guard rest is a place meant for resting!! do till like this, when got guests come how to let them see?"
" you don't need to tell me i also know who did this!!"


Hope they are all doing well and i hope those who deserve their retributions are living it now....
wan, teo, ah peh, chandran, poon, hafix, sim, heng(mdm), chan (security), garnesh, the 2 young bravo sgts whom i dun even bother their names...1 teddy bear and 1 dino i remember


and not forgetting...liow...
may your son have no asshole dude

captain shinji

"i hate people who just say it but don't mean it"

"the feelings of those below, should not be considered by the one who stands on top, even if the one on top understands those feelings"

Captain Shinji, squad5 captain...hundred years ago....

Darn...just when i'm idolizing the espadas...the 12 squad captains have won me over

star bucks

just came from from a talk held by some "corporate social responsibility" society....on Star Bucks....

things i learned...i want to save space so type things here

well a brand is successful and establish if people staying half a globe away from its HQ recognizes it

why people buy such expensive coffee and why at its peak star bucks actually was expanding faster than macs?

its predictability....in a world when change is the only constant, people want something we can hold on to, something which is always there...well starbucks is everywhere, tastes the same everywhere

its emulation...it has attracted stars like britney spears and magic johnson...attracts lots of kids...kids that when they grow up will buy, and be LIFE-LONG customers...since coffee is addictive too...so no point attracting old folks...plus that it takes away the hip factor....

sense of belonging and satisfaction....in a world where people have a lost sense of identity. we can actually be categorised into people who knows how to order starbucks and those who not...ask yourself, ordering starbucks coffee is complicated and complex right...so people feel a sense of achievement and satisfaction in completing it. And that gives us a sense of belonging to this starbucks group and satisfaction...a plus factor: when you get your coffee...the server actually says..."ALvin, here's your cappuccino, enjoy your drink" the personalization is a +

sense of heightening: when you carry a starbucks and walk around...its like you are of some status...just like i-pod and crumbler bag....certainly its not expensive like mercs but its certainly not cheap....and you can do it over and over again....

comfort: certainly all starbucks outlets are comfortable...and good for relaxation and time-wasting...notice how all crouches in outlets are always placed beside the windows? and from outside you look in the people always seems so comfortable and relaxed and you envy them? that's it.

reward: after a week's long hard work or after a bad incident like quarreling with your parents what do you do? SPEND $$$---consumer society
you certainly don't want to go buy a house or a car...so STARBUCKS
and certainly how $$$ u spend on the coffee is directly dictated by how low your mood or how high your mood is

buy space: you want some space...to study or do work...buy a cup of coffee and sit whole day long....the place is middle class, clean, tidy, neat...perfect!

starbucks has sort of declared that its recycling the materials and helping the Earth with the slogan...:"help us help the earth" so people who want to help the Earth but do not wish to do something...they buy starbucks....
for people this is like trying to start repent the sins they have commit towards Earth

they have also failed to expand into middle east and china

and a few others i can't recall
something else i learn: starbucks have a totally different strategy from macs...

starbucks wants its customers to stay as long as possible...so their surroundings is comfy, macs wants it to be high...thus plastic sits and colorful walls....
people are starting to link macs--starbucks...which is destroying them...as it sort of degrades starbucks...(who the hell looks cool eating big-mac and drinking from mac-cafe)...so they are losing their class factor and thus lots of customers...think their profit is down 40% this year as compared to last year.

the prof also mentioned they might have expanded too quickly and too densely...something that is classy usually won't appear everywhere right?
but i have another view on this...in our consumer society...people always want spend their money ...say now this bugger want drink coffee...but the nearest starbucks is like 1 mile away...isn't it better to just grab the nearest alternative around...since there's so many around...coffee bean, gloria jeans, coffee club express....and they are slightly cheaper too. so perhaps starbucks had wanted to counter this by grabbing all locations?

bubble tea is an upcoming craze in the states...people are paying $5 , $6 for a cup

Friday, March 21, 2008

getting old

i'm truly getting old

nowadays i drink alcohol...i really enjoy the drink and its smoothness, last time it was all about the after effects on myself and on others

i go shopping and spend time looking at shirts, pants, coats, belts instead of t-shirts, berms and slippers

i prefer to sit down by a couch and enjoy a drink with music in the background rather than going into a smoky and dark arena and get myself wasted

i'm getting intrigued by cigars

i'm reading books instead of manga

wrinkles appearing on my forehead

Thursday, March 20, 2008

a man whom i truly respect

read this from ong jy's blog, a man whom i truly respect for who he is

"you should have realized by now a lot of people living on this earth are actually wasting the earth's resources."

"well son, people who waste the earth's resources are better off dead."

"They represent all I hate about girls. What use are they good for? Can't study, can't work, can't even cook and clean. My mum does not even have O Levels, at least she is independent, hardworking and can cook and clean. What good are you all? Seriously, why can't I form a group with tomatoes, durains and mangoes? At least I can eat them after working with them. They won't mutter silly little things, do their silly little giggles."

if only i have a chance to work with him, but well
sometimes people can work together, but cannot work with each other

Monday, March 17, 2008

toilet paper

haiz
looks like in nus there's seriously different levels of intensity for different people


fuck

Sunday, March 16, 2008

day of the year

alright so today is my worst day of the year...here goes...

1) met at science canteen at 735...supposed to eat mac breakfast...in the end the macs at clementi is actually closed for renovation and thus people bought porridge...i hate porridge for breakfast

2) so no mac breakfast...so ended up have to buy my morning coffee from science canteen...which is super off form and diluted today...

3) science of music lecture i was sitting beside 3 EE students who couldn't sop talking...loudly...fucking idiots....1 of them is an ex-commando...zhiwei, keen's platoon mate

4) after SOM lecture quickly rush back room, then off to arts to meet MC and qiaozhi. To gain entry into this lab that zhiwei recommended to do my music project...in the end....fucking holy shit...no cable, no keyboard, no nothing...so wasted 1 hr...and i feel darn guilty about wasting their precious time....

5) mind you now its only 130 pm...i still have game theory lessons later and i dunnoe how worse the day can get.

6) if all things had went well i shouldn't even be worrying about all these. the only worry i would have is where to get all the $$$ to spend when i go canada for my super 3 months summer exchange
...i shouldn't even be worrying now about how to pass my math logic, what to do during the next 3 months OK


So the only 2 conclusions are....

1) i'm not praying enough

2) i'm praying to the wrong god

Thursday, March 13, 2008

question

1) why do i help them?

a) to help myself--cause i don't want to lose again
b) help coach--avoid seeing his sad face again
c) because i like them
d) because i like the team


stay tune for answer

p.s: if your logic intuitive is good enough, you should propose a second question...who's the "them"

a) juniors
b) the team
c) J team
d) the holy monks--which in a way= the j team since its about control

Tuesday, March 11, 2008

one day

one day, i'm going to retire
after that
my job will be to....



sit down and do nothing everyday
at a place where i can hear the sounds of sea waves hitting the shore
that's the most beautiful rhythm in the world

Monday, March 10, 2008

game theorist

So game theory mid term is back....
well...what pisses me off this time is that half way through the test i actually realized some of my mistakes...but due to the time constraint and the actual huge matrix that i had to draw up i decided to stick to my old, but slightly wrong matrix to salvage whatever marks i could obtain...
second question...my algorithm is correct...but i misread the question...misread as in interpreted the English wrongly...this is like so what the fuck


This is a math test....



but oh well...generally im still satisfied

sins

A: hey i sinned again last night

E: hey least you know you sinned, which is a step towards the good since most people sin w/o even knowing it

A: but i am sinning, and enjoying every minute of it!!!

E: ...


Conclusion: so does that makes me a double sinner?

2 more days to South Park season 12....the stress reliever is here