Carl Friedrich Gauss

Reproduced under is the article that the AH editors of CHOWK censored as they have censored many of my previous articles. These idiot editors on Chowk of which the major one is Mohammad Gill (the writer of pseudo-plagiarized BS), have mastered, like the US media of, drowning relevant discussion by either outright censorship of bombardment with BS. Read the article under and judge for yourselves whether it should have been published or not:

FACTIONALISM, SOCIAL MOVEMENT STRUCUTRE AND SOCIAL CHANGE by M. Asadi

Re: # 24 by kaalchakra:

Kaal:

You ask:

``Does the gaussian distribution need large numbers to reproduce itself?``

This is a very good question and the answer is: it needs very very large numbers to even APPROXIMATE it, let alone reproduce it.

To understand it, consider a bag of balls with numbers written on them. There are 100 balls with the number 50, 99 balls each with the numbers 49 and 51, 97 balls each of 48 and 52, 94 of 47 and 53 ans so on and so forth. Note if you plot percentages (of balls with the same number) on the y axis and ball numbers in the x-axis you have a distribution which looks pretty bell shaped.

Now do the following. Pick a ball and after noting the number put it back. Do it twice. Now plot the frequency against ball numbers. You will have a distribution that perhaps looks like the ``World Trade Center`` and if you are very lucky you will have that tower in Paris (i.e. when you pick a ball with the same number twice). Nowhere do you get the bell shape with the small number (2) of picks!

Remember to put the balls back after noting the number.

Now go for 10 picks instead of 2. The problem is that with a certain probability you might still end up with the World Trade Center or that Tower in Paris. But you will immediately tell me: ``GT such a probability is very low and you are very stupid``. Well that is exactly what Gauss said! All these odd shaped distributions will occur with lesser and lesser probabilities as the number of draws increase! The distributinS which get higher and higher probabilities look pretty much like the original distribution.

BUT Kaal, you being an original thinker will shout back: `` Hey that would happen with all distributions bell shaped or not``. And here Kaal you are again A.A. right. So what did Gauss have up his sleeve????

So bring on the chowk mathematicians :) (Hint: A.A. stand for almost always).

Re: # 38

I think it was Stephen Hawkings who said that if you want to know the mind of man, study religion; but if you want to know the mind of god, study mathematics.

Re: # 30

......... what?.... you didn`t know that like all great scientists gauss also reverted to islam.

The true story is that he figured it all out after reading the Quran. He did not acknowledge it and when he realised he will miss the 72 hoors, he reverted back to Islam.

#30 Hamidm2

[hazrat ghaus ali shah]

I have not laughed so much in a LONG time! Thank you, sir!

stop baiting poor zeemax and others. Iron, Hamidm2, Kaalchakra et al this does not become of you lot.

Zeemax is trying like hell to convince you lot about the goodness of his God. The least you can do is to listen to bugger politely.

Do you guys know he and Philosopher are whiskey drinking god-people. If not then see the DoH article. Philosopher was also tripped up by a new person on Chowk, I have never seen him before. You people might have found a god, but these others have found THE GOD!

Re: # 35

iron,

.......... i am absolutely in awe of mathematicians who can create order out of disorder and seem to see things that most mortals can`t ......... i am convinced that one of these days some mathematician will unlock the mystery to god and i will then be able to say, ``i told you so - he is just another silly property of the gaussian distribution``

#36 And very good wisdom it is :)

We can call it cosmic order and inherent simplicity - which makes goodness possible. And since the label God is already used up, no harm anyone referring to it as Satanic or whatever else.

People like Gauss surely have this Satanist connection that allows them to see the Order far beyond than the rest of us....

#33 kaal bhairavi, no I make my ends meet through other forms of work... though I wish I could be that.....Its called received wisdom!

#34 dare I say it, Hamidm2 It is preordained by God. Were not to have decreed it to be so, it would not have been so. You should become a beleiver after you do the ball bearing experiment.
Please, donot say such things, I am awaiting for God`s spokesperson (please note not representative or prophet) and the committee to give us the true explanations.......till then I donot know much about the mysteries of this world...

Re: # 32

iron,

.......... don`t you think it kind of spooky how you get an average value of 3.5?.......... i am still freaked out by that thing where you drop these ball bearings and they neatly fit into a normal distribution !! .......... i tell you, there is some satanic hand behind this stuff !

iron, you must be a very successful mathematics teacher. If not, you should be. That was a great explanation. Thanks.

#31 no doubt that is true.

Here is an example -

if you take a dice (alright not the kind you own made from bones ;-() ), and throw it repeatedly.... the average value will tend to (or face value) you will get is 3.5. This number you will get as you increase the number of tries. However, at the lower end you will get an approximation of this number.

Basic structures are a result, to a point, of the fact that all Gaussian functions are symmetric about the mean value of the independent vaiable making up the function. MOst other such symmetric functions are subsets of this gaussian function.

The gaussian function in addition has this wonderful property of being Sigmoidal - which has been misappropriated by the Neural network community to represent their silly functions. And here is the beauty of it (from my perspective),

it is a simple function of the form e^(-ax) (or variants of it). It is simple yet is able to capture a lot of information within it. The trignometric series of sin, cos etc can be represented by this function. That it can is beautiful. Gauss did it for he knew about series and how to represent these in a compact form.

The key in mathematics is the symmetries which always present - that is the result of nature of the underlying assumptions that we make.

iron

Look at the link that okhla posted in #25. Or even Alephnull`s posts about fundamental theorems depicting basic structures.

One aspect of true beauty is its inherent simplicity that all humans can intuitively feel, without anyone having to give in to blind, supernatural beliefs. No Masadism is ever needed.

Gaussian distribution seems to be one of those beautiful things. My guess, as a non-mathematician, is that we might not need large numbers for the property you alluded to to hold true under `normal` conditions.

If that is not true, that too can be simply explained (one would think). Again, no Masadist torturing of the oneself (or of others) is ever required, of or for anyone.

Re: # 29

iron_mask,

.......... oh, please! ............ don`t get zeemax started on this board which is dedicated to the mathematical pursuits of hazrat ghaus ali shah ......... what?.... you didn`t know that like all great scientists gauss also reverted to islam ?

#26 aunty zeemini why is your gaand khujlifying so much. Gill managed to do it. You cannot do it! If you could youwould have been doing it.

Tough luck smile and bear it aunty jee....