Theres a little psychopath sitting in all of us... mostly, unleashed during our anger pangs...
Sunday, September 2, 2007
Saturday, September 1, 2007
Friday, August 31, 2007
Randomness...

I don't think i really believe in luck or God or a higher force for that matter...mostly i am of the view, things love randomness, and thus no matter how much you'll try to organize your world...random strokes of good and bad luck will keep hitting you..
Theres no heaven or hell, so maybe theres no moment of truth, no check of how you lived through life and also no reincarnation... so again, the life you were assigned wasn't from a thorough calculation of your potential or your goodness... it was a random choice of nature... and then, in your life you see all this mess around you... nature does a lot of jobs with great accuracy, but it isn't perfect... what you see here is a labyrinth, with many paths, each leading with a different style of life-pattern... what these paths lead to isn't visible to you, you can only assume from the experiences of people who have gone through that path... but the funny thing is these paths are dynamic, they keep evolving and dissolving; merging and emerging, so you can never be sure... you pick, or you're forced to pick, (or in rare case you build) a path... but where you land up during your journey is so complex to find out, that its best explained as random...
Then, what the hell is a "set" life??... lots of people have that, they knew what they wanted, they made efforts and got that... no randomness there... the reason is, that certain paths are less likely to change than others... and thats why many normal people are likely to choose that path... study, study more, get a job, get married, have kids, grow old, die... it would only be in the introspective moments, that these people will think about all the paths they could've chosen, lives they could've lived... the randomness, the absolute freewill they could've enjoyed... but then, their focus was always to rush through life making the seemingly right choices, so it never caught their eye, how relative right is... and how they have the power to redefine right...
Its only now, i fully understand why i liked "entropy" so much in thermodynamics... the fundamental property of materials to have minimum energy and maximum entropy... this kind of gives me a great excuse why i don't like organizing my stuff... why i don't like killing the free spirit of things around me... a lousy excuse, but still an excuse... anyhow, going back to life and randomness...
Again, the people you meet in your lifetime, follows no plan at all... and how all these random meetings entangle into your character, and make you the person you are, is subject to so many theories that its impossible to predict anything... you unconsciously/consciously learn things, stuff them into the back of your head... and finally one day spit that out, in a totally unrecognizable manner; your actions or your choices or your words or your dreams...
The whole point of this discussion, is that theres randomness integrated in every aspect of your life, and life becomes more fun, once you start appreciating that... because, then you don't look for grounds to dump your blames on, or escape routes, or answers to never-ending "why me??"... when everything is governed by some nonsense; you tend to be more forgiving...
and this is yet another abrupt ending to an abrupt idea...
The golden ratio..
Nature loves symmetry... there are patterns and proportions all around us, that make sense of this whole chaos of the world, we live in... i remember how i felt when i came to know of pi, it felt like in some mysterious way, everything has an inherent nature of being pre-defined... that theres an order of things, that we just have to decipher and everything would be simplified to plain mathematics and logic..
Phi is another such number... better known as golden ratio; its been there consistently, just under our eyes, in nature, in architecture, in paintings, in music, in beauty and even in your DNA...heres a nice video about phi...
So, two quantities are said to be in golden ratio if, the ratio of their sum to the larger quantity is equal to the ratio of the larger one to the smaller one..
or (a+b)/a=a/b=phi (if 'a' is the larger one and 'b' is the smaller one)
or a=(phi)b
substituting this value of phi in first equation yields
phi=(1+sqrt(5))/2=1.6180339887....
Some unique things about phi::
* the ratio of subsequent numbers in fibonacci series tends to phi:
21/13 = 1.61538...
34/21 = 1.61905...
55/34 = 1.61764...
89/55 = 1.61861...
* 1/1.618=0.618, the golden ratio conjugate
* (sqrt(5) + 1)/2=1.618 and (sqrt(5) - 1)/2=0.618
* phi^(n+2)=phi^(n+1) + phi^(n); i.e. the powers of phi have this unusual property in that they are related not only exponentially, but are additive as well
* The human body conforms to phi...

-The distance between the finger tip and the elbow / distance between the wrist and the elbow,
-The distance between the shoulder line and the top of the head / head length,
-The distance between the navel and the top of the head / the distance between the shoulder line and the top of the head,
-The distance between the navel and knee / distance between the knee and the end of the foot,
-Length of face / width of face,
-Distance between the lips and where the eyebrows meet / length of nose,
-Length of face / distance between tip of jaw and where the eyebrows meet,
-Length of mouth / width of nose,
-Width of nose / distance between nostrils,
-Distance between pupils / distance between eyebrows.
in Architechture

The Golden Ratio has appeared in ancient architecture. The examples are many, such as the Great Pyramid in Giza, Egypt, and the Greek Parthenon that was constructed between 447 and 472BC. Not only did the ancient Egyptians and Greeks know about the magic of Golden Ratio, so did the Renaissance artists, who used it in the design of Notre Dame in between the 12th and 14th centuries. Some modern architecture are also influenced by Golden Ratio as well, such as the United Nations Building...
in DNA
The DNA molecule, the very program of life, is based on the golden ratio. DNA consists of two intertwined perpendicular helixes. The length of the curve in each of these helixes is 34 angstroms and the width 21 angstroms. Also, the major and minor groove of B-DNA follow golden ratio...
in Art

Da Vinci, a sculpture, painter, inventor and a mathematician, was the first one who first called Phi the Golden Ratio. And scientifically, Mona Lisa's face actually appears in a golden rectangle, which also makes her face appear more beautiful to human eyes. Also another masterpiece, the Last Supper, contains Golden Ratios...
....now, the list is practically endless, so i better stop here...
Conclusion: the golden ratio is ruling the world...watch this clip from "Numbers" where Charlie talks about golden ratio...
Phi is another such number... better known as golden ratio; its been there consistently, just under our eyes, in nature, in architecture, in paintings, in music, in beauty and even in your DNA...heres a nice video about phi...
So, two quantities are said to be in golden ratio if, the ratio of their sum to the larger quantity is equal to the ratio of the larger one to the smaller one..
or (a+b)/a=a/b=phi (if 'a' is the larger one and 'b' is the smaller one)
or a=(phi)b
substituting this value of phi in first equation yields
phi=(1+sqrt(5))/2=1.6180339887....
Some unique things about phi::
* the ratio of subsequent numbers in fibonacci series tends to phi:
1/1 = 1
2/1 = 2
3/2 = 1.5
5/3 = 1.666...
8/5 = 1.6
13/8 = 1.6252/1 = 2
3/2 = 1.5
5/3 = 1.666...
8/5 = 1.6
21/13 = 1.61538...
34/21 = 1.61905...
55/34 = 1.61764...
89/55 = 1.61861...
* 1/1.618=0.618, the golden ratio conjugate
* (sqrt(5) + 1)/2=1.618 and (sqrt(5) - 1)/2=0.618
* phi^(n+2)=phi^(n+1) + phi^(n); i.e. the powers of phi have this unusual property in that they are related not only exponentially, but are additive as well
* The human body conforms to phi...

-The distance between the finger tip and the elbow / distance between the wrist and the elbow,
-The distance between the shoulder line and the top of the head / head length,
-The distance between the navel and the top of the head / the distance between the shoulder line and the top of the head,
-The distance between the navel and knee / distance between the knee and the end of the foot,
-Length of face / width of face,
-Distance between the lips and where the eyebrows meet / length of nose,
-Length of face / distance between tip of jaw and where the eyebrows meet,
-Length of mouth / width of nose,
-Width of nose / distance between nostrils,
-Distance between pupils / distance between eyebrows.
in Architechture

The Golden Ratio has appeared in ancient architecture. The examples are many, such as the Great Pyramid in Giza, Egypt, and the Greek Parthenon that was constructed between 447 and 472BC. Not only did the ancient Egyptians and Greeks know about the magic of Golden Ratio, so did the Renaissance artists, who used it in the design of Notre Dame in between the 12th and 14th centuries. Some modern architecture are also influenced by Golden Ratio as well, such as the United Nations Building...
in DNA
The DNA molecule, the very program of life, is based on the golden ratio. DNA consists of two intertwined perpendicular helixes. The length of the curve in each of these helixes is 34 angstroms and the width 21 angstroms. Also, the major and minor groove of B-DNA follow golden ratio...
in Art

Da Vinci, a sculpture, painter, inventor and a mathematician, was the first one who first called Phi the Golden Ratio. And scientifically, Mona Lisa's face actually appears in a golden rectangle, which also makes her face appear more beautiful to human eyes. Also another masterpiece, the Last Supper, contains Golden Ratios...
....now, the list is practically endless, so i better stop here...
Conclusion: the golden ratio is ruling the world...watch this clip from "Numbers" where Charlie talks about golden ratio...
The simple truth...2
The difference between CAT and GRE...is somewhat like commercial and art cinema...
The simple truth...
Guys don't want their girlfriends to change, but they do...girls do want their boyfriends to change, but they don't...and that's the cause of most break-ups...
(courtesy: Sanchit)
(courtesy: Sanchit)
Thursday, August 30, 2007
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