Randomness_001

Coins...Fer a Change...!! :)


Was feeling 'lost'...and then decided to pay ettention to my thoughts....

I was thinking randomly...a lot about random numbers... 
(Hmmmm....i've not yet stopped...nor will I ever...hahaha!)

You can't imagine the MAGICAL things that lurk behind a seemingly RANDOM Universe....!

As one of my thoughts encouraged me to do, I took out a coin...& flipped it...(yeah...Cricket -match coin-TOSS! :P )...

And as it turns out...fer a few tosses, it appeared to be biased towards HEADS or TAILS...

[Out of 10 chances...7 will be heads, or even 8 or 9 will be tails...!]

But then, I imagined....
WHAT if...what if I extend this tossing OVER & OVER & OVER egain....& egain..!?!?

In the short-term...we may feel the Universe/God is biased...but over a Loooong term...there is JUSTICE..n EQUALITY (of Probability..)..?? :P

So armed with this thought...and tonnes of emptiness....i sat blinking before my monitor....waiting....fer the magic to happen...

And happen it did...!!

Before long, between my work....I had whipped up a couple of lines to show me graphically the results of 1,000 coin tosses...to help me 'see'...

And the results...are (t)here fer YOU to see...! :)

• n(heads)  = 504 
• n(tails)    = 496

{ Click on the picture below !} 

Moral: EVEN a state of ORDER has CHAOS & Randomness underneath...! :) 
It is just amazing HOW a seemingly random set of events...can aggregate and 'appear' to be 'orderly' to our Mind/Brain...! 


Is it not pa..? :)


Phew..! :)

Love & Best Wishes,

The boy in "rags"

An in(cr)edible recipe_Part_001 <3 :)

Hi pa..!!

Please Listen to Me...at-least one time...!?!

{ Time is running out..!! Hope you ARE listening...!? :-/ Hmmm.. :-( }

I just want you to do something fer me, & I promise YOU to show you something so incredible..!!!! :)

If I give you a +ve integer, 'n' to start with, you should go on giving me the smallest integer that is a multiple of (n-1) such that it is greater than or equal to 'n', STORE the result, & go on till you reach n=2, at which point the result does NOT change...

Okay..? :) 

JUST do that, and I shall show you a MAGICAL new thingy...!! :)
But don't stop...continue with this value 6 & the value 3 as your new 'n'...
i.e.., 6 gives way to 3-1=2*3=6 (n-1 is now 2)
and now, you can verify that considering n=2 , the answer remains the same =  6

Hence, given n=4 the final answer should be 6.
i.e.., 6 gives way to 3-1=2*3=6 (n-1 is now 2)
and now, you can verify that considering n=2 , the answer remains the same =  6
Hence, given n=4 the final answer should be 6.
Hence, given n=4 the final answer should be 6.
Or...to take another example, given n=5, the answer should be 10
{5-->8(by 4)-->9(by 3)-->10(by 2)-->10(by 1)-->STOP}

E.g., fer n=4, u start, & first come up with 6 (temporary result) by considering (n-1)=3

Or....given n=10, the answer should be 34. 

HOW..?

Here's HOW...

{10-->18(by 9)-->24(by 8)-->28(by 7)-->30(by 6)-->30(by 5)-->32(by 4)-->33(by 3)-->34(by 2)-->34(by 1)-->STOP}

So LET us imagine this PROCESS of generating the ANSWER, given a +ve integer 'n' input...as a Black-box...!

In Mathematical terms...let me call it a Function 'f' mapping an input 'n' (+ve integer) to some other +ve integer.

Thus, we have, 

f(1)=1,

f(4)=6,

f(5)=10,

f(10)=34

:

:

and so on...

[Can u write a simple function or manually build a table like this..for different values of +ve integers..?]

AHEM..!!

JUSST keep this function in mind...be READY..!!

For WHAT I shall unveil to YOU...is going to be one amazing surprise...!!!!!

I Promise..!!!!

(To be continued. . .)

[
PS: 

Not that I want to keep you waiting...no way...I myself can't wait...!! 

As I have said, Time is running out...& i have to SHARE soo many beautiful thingies..!!

It's just that I may have to spend some more energy/focus on R&D...! :)

I shall try & come up with a 'black-box' (function) of my own & try to graph some results...which shall be a fitting tribute to this incredible thingy we're going to witness..!

Am sure you shall agree...SOOON....!! ;) :)

Get Ready...to be SURPRISED...!!!

]

Women & the Universe -- sequel..! :)

Parallels between Women and the Universe...!?!

Today my dear friend Pavan was asking me about my views on Parallel Universes...! I shrugged my shoulders & said it's not a good scientific theory, since nothing about it can be easily proved/disproved by means of simple experiments--the hallmarks of a sound scientific theory. 

But thanks to his questions...i-Moron (That, would be the title of my auto-bio-graphy!! :P) suddenly remembered about my idea of writing a sequel to my previous article...& this time...list out the "parallels" of our Universe w.r.t. Women..!! :))

Without much ado...here we go..! :)

• Both are structures of incredible, infinite complexity...! 
• Both are the very source(s) of ALL Life...& have captured the imagination (& lives too..!! :( :) ) of we-men..!! ;) :)
• Both are immensely mysterious; with nobody yet able to fathom the secrets they harbour...from Einstein to Freud..! Nobody ever will too..! :)
• If provided the right kind of conditions, both are capable of giving birth/rise to bright new stars...!! :)
• Despite their external appearance of great serenity & stability, both are..in fact, seething cauldrons of chaos & confusion within..! In deed, it is a miracle that despite such complexity inside, they appear to be pretty order-ly outside!
• Both seem to be beyond the grasp of scientific study/analysis! Only mystics, poets & mad-men seem to be able to "see" their true-nature. As fer normal sane men, if/when they try to do it, they too end up as mystics, poets or made-men..! :)

Again no offence meant ...please..!! :) 

Hope you liked it..& it evokes more parallels between the two..?!?
I welcome you to share them then. Hmmm... :)

Anyway, it is easier to observe women than to study we-men. Because then I would be observing frem  the outside.

Of-course, it is an altogether different challenge/exercise to meditate on our own selves....to glance within..! That experience...is...simply Beyond All Wor(l)ds ...!! :)

Hmmmm...Take care then...& please keep smiling!

Love & Best Wishes,

The moRon in rags,

Planet Earth

-------------------------------------------------

And here's something frem Schulz's Peanuts to make you Smile...;) :)

[Click on the pic to be able to read properly]