Haha I really gotta put this up...
This morning the prof was talking about Euclid's lemma... and he flashed some picture and said how he came up with some discoveries that we are familiar with.. like Euclidean space, and Euclidean geometry...
and a little caption said he lived during 300BC or around there..
Prof 'So, he lived a long time ago, this is 300BC.... Some people ask me if he is still alive.'
O_O
University undergraduates!
The future of our nation!!!
-_-''
On a side note i have spent an entire day on FF7 to see that it is a very good game but i will destroy my finals if i continue seeing how good the game is. Thus I have put it in a secure place and will keep mugging.
Sigh.
I was THIS close to buying a gamepad.
onward.
Tuesday 28 October 2008
Saturday 25 October 2008
The right thing to do
After many discussions, a lot of thought and a sizeable amount of beer with close friends over an F1 race, i have come to the following conclusion.
Some things shouldn't bother us too much
Its that simple.. You shouldn't worry about the things you can't fix, and just work on the things you should be fixing.
It seems that many of us are in a stage where we are re-learning life's simplest lessons.
Hopefully pride will not be an obstacle to our learning......
Onward.
Some things shouldn't bother us too much
Its that simple.. You shouldn't worry about the things you can't fix, and just work on the things you should be fixing.
It seems that many of us are in a stage where we are re-learning life's simplest lessons.
Hopefully pride will not be an obstacle to our learning......
Onward.
Sunday 19 October 2008
Pressure intoxicates
I feel quite loaded... like seriously with tons of lesson content and technically demanding stuff to ponder through..
But yet I feel strangely good.. like I'm achieving something...
Hmn. Maybe its some self-worth thing.
oh well...
I'll figure this all out AFTER the semester ends....
Till then...
onward.
But yet I feel strangely good.. like I'm achieving something...
Hmn. Maybe its some self-worth thing.
oh well...
I'll figure this all out AFTER the semester ends....
Till then...
onward.
Wednesday 15 October 2008
Never an ugly sight in geometry
God made all things beautiful......
Descartes' Theorem
The curvature mentioned earlier is the 'bend' in the poem below, and it refers to the reciprocal of the radius. (1/r)
The Kiss Precise
For pairs of lips to kiss maybe
Involves no trigonometry.
This not so when four circles kiss
Each one the other three.
To bring this off the four must be
As three in one or one in three.
If one in three, beyond a doubt
Each gets three kisses from without.
If three in one, then is that one
Thrice kissed internally.
Four circles to the kissing come.
The smaller are the benter.
The bend is just the inverse of
The distance from the center.
Though their intrigue left Euclid dumb
There's now no need for rule of thumb.
Since zero bend's a dead straight line
And concave bends have minus sign,
The sum of the squares of all four bends
Is half the square of their sum.
To spy out spherical affairs
An oscular surveyor
Might find the task laborious,
The sphere is much the gayer,
And now besides the pair of pairs
A fifth sphere in the kissing shares.
Yet, signs and zero as before,
For each to kiss the other four
The square of the sum of all five bends
Is thrice the sum of their squares.
- Frederick Soddy
Descartes' Theorem
If four mutually tangent circles have curvature ki (for i = 1,…,4), Descartes' theorem says:
| (1) |
When trying to find the radius of a fourth circle tangent to three given kissing circles, the equation is best rewritten as:
| (2) |
The ± sign reflects the fact that there are in general two solutions. Other criteria may favor one solution over the other in any given problem.
The curvature mentioned earlier is the 'bend' in the poem below, and it refers to the reciprocal of the radius. (1/r)
The Kiss Precise
For pairs of lips to kiss maybe
Involves no trigonometry.
This not so when four circles kiss
Each one the other three.
To bring this off the four must be
As three in one or one in three.
If one in three, beyond a doubt
Each gets three kisses from without.
If three in one, then is that one
Thrice kissed internally.
Four circles to the kissing come.
The smaller are the benter.
The bend is just the inverse of
The distance from the center.
Though their intrigue left Euclid dumb
There's now no need for rule of thumb.
Since zero bend's a dead straight line
And concave bends have minus sign,
The sum of the squares of all four bends
Is half the square of their sum.
To spy out spherical affairs
An oscular surveyor
Might find the task laborious,
The sphere is much the gayer,
And now besides the pair of pairs
A fifth sphere in the kissing shares.
Yet, signs and zero as before,
For each to kiss the other four
The square of the sum of all five bends
Is thrice the sum of their squares.
- Frederick Soddy
Tuesday 14 October 2008
Saturday 11 October 2008
Change of focus
Lam 3:21-33
(21) But this I call to mind, and therefore I have hope:
(22) The steadfast love of the LORD never ceases; his mercies never come to an end;
(23) they are new every morning; great is your faithfulness.
(24) "The LORD is my portion," says my soul, "therefore I will hope in him."
(25) The LORD is good to those who wait for him, to the soul who seeks him.
(26) It is good that one should wait quietly for the salvation of the LORD.
(27) It is good for a man that he bear the yoke in his youth.
(28) Let him sit alone in silence when it is laid on him;
(29) let him put his mouth in the dust-- there may yet be hope;
(30) let him give his cheek to the one who strikes, and let him be filled with insults.
(31) For the Lord will not cast off forever,
(32) but, though he cause grief, he will have compassion according to the abundance of his steadfast love;
(33) for he does not willingly afflict or grieve the children of men.
(21) But this I call to mind, and therefore I have hope:
(22) The steadfast love of the LORD never ceases; his mercies never come to an end;
(23) they are new every morning; great is your faithfulness.
(24) "The LORD is my portion," says my soul, "therefore I will hope in him."
(25) The LORD is good to those who wait for him, to the soul who seeks him.
(26) It is good that one should wait quietly for the salvation of the LORD.
(27) It is good for a man that he bear the yoke in his youth.
(28) Let him sit alone in silence when it is laid on him;
(29) let him put his mouth in the dust-- there may yet be hope;
(30) let him give his cheek to the one who strikes, and let him be filled with insults.
(31) For the Lord will not cast off forever,
(32) but, though he cause grief, he will have compassion according to the abundance of his steadfast love;
(33) for he does not willingly afflict or grieve the children of men.
Thursday 9 October 2008
The Past
Father?
I don't get it.
I really don't.
Should the walls go up forever...
It seems the only way to stop hurting...
I don't have this kind of mental discipline.. I don't have it in me..
Is this a trial?
I am sick of failing.
How do I force myself to forget?
Sigh.
Okay, You're right. I did it before. I forced myself to forget something.
I know its possible.
Maybe I don't want to forget.
Maybe I'm afraid of losing something.
Sigh.
Lord?
Help me see that what I have now is not mine, and what I'm afraid of losing, You already hold in Your hands.
Force me to see that, if need be...
Father hold me..
I don't get it.
I really don't.
Should the walls go up forever...
It seems the only way to stop hurting...
I don't have this kind of mental discipline.. I don't have it in me..
Is this a trial?
I am sick of failing.
How do I force myself to forget?
Sigh.
Okay, You're right. I did it before. I forced myself to forget something.
I know its possible.
Maybe I don't want to forget.
Maybe I'm afraid of losing something.
Sigh.
Lord?
Help me see that what I have now is not mine, and what I'm afraid of losing, You already hold in Your hands.
Force me to see that, if need be...
Father hold me..
Tuesday 7 October 2008
Health
My health is seriously taking a beating...
I am finding myself pushing very hard to do my questions, which is a good thing, but it has so far come at a price.. i snap out of my assignments feeling slightly dazed..
Not to mention I'm having some very unfriendly assignments..
Do keep me in prayer..
onward.
I am finding myself pushing very hard to do my questions, which is a good thing, but it has so far come at a price.. i snap out of my assignments feeling slightly dazed..
Not to mention I'm having some very unfriendly assignments..
Do keep me in prayer..
onward.
Thursday 2 October 2008
Feeling the strain
I think i'm getting a bit cranky..
My room is in its usual mess but I have this insane urge to start cleaning the entire room... And when i say that I mean sanitise, like look for dirt and wipe down all the cupboards and rearrange all my books again....
I think its a sign i'm getting anal..... I really need a proper break after my tests.. But looking at my schedule that would mean i get like... a few hours to myself.. haha..
Onward.
My room is in its usual mess but I have this insane urge to start cleaning the entire room... And when i say that I mean sanitise, like look for dirt and wipe down all the cupboards and rearrange all my books again....
I think its a sign i'm getting anal..... I really need a proper break after my tests.. But looking at my schedule that would mean i get like... a few hours to myself.. haha..
Onward.
Wednesday 1 October 2008
Combat Action Report
I am pleased to report that I have fought off a bout of flu in 4 days with minimal effects.
-
--
---
Flu was diagnosed based on the patient observing a mucus colour of olive green on day 1 (saturday). Possible misdiagnosis due to green mucus appearing only in left nostril for entire duration. Infection judged to be present.
Treatment was based on a combination of multivitamins and vitamin C supplements. Vitamin C dose was 1000mg on day 1, followed by 2000mg on each subsequent day. On the subsequent days, the 2000mg consisted of 1000mg timed release and 1000mg of Redoxon.
Symptoms were alleviated, the harshest of which were a slightly hoarse throat and a mild headache. Symptoms may have been aggravated by the patient drinking one pint of beer at Rifle Range Road whilst eating rich foods such as satay, chilli crab and watching F1 cars fly around a track. However, patient has had a history of attempting to eat more during bouts of illness. The feast may have had contributed to the treatment. Beer may have had an antibiotic effect.
More research follows.
-
--
---
Flu was diagnosed based on the patient observing a mucus colour of olive green on day 1 (saturday). Possible misdiagnosis due to green mucus appearing only in left nostril for entire duration. Infection judged to be present.
Treatment was based on a combination of multivitamins and vitamin C supplements. Vitamin C dose was 1000mg on day 1, followed by 2000mg on each subsequent day. On the subsequent days, the 2000mg consisted of 1000mg timed release and 1000mg of Redoxon.
Symptoms were alleviated, the harshest of which were a slightly hoarse throat and a mild headache. Symptoms may have been aggravated by the patient drinking one pint of beer at Rifle Range Road whilst eating rich foods such as satay, chilli crab and watching F1 cars fly around a track. However, patient has had a history of attempting to eat more during bouts of illness. The feast may have had contributed to the treatment. Beer may have had an antibiotic effect.
More research follows.
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