Blinded by Beauty, but not Blind to it...! ;) :)

Mountain (de)Range(R/D)s...!! :)

2011-12-26T03:45:00.026+05:30

Making Mountains out of a mole-hill...! ;-) :)

It was Christmas, & I was lazing around with my friends in the utter cold weather...

And my dear friend Prashant "woke me" up with some of his suggestions on making 'nice-looking' mountain-ranges when he happened to see my following creation, which is essentially a Mathematica(l) plot of Sin(2x)+ Cos(2y) where both x & y are in the closed-interval [0, 3 Pi][click the pic below to see better! ]

He wondered if we can have better approximations to real mountain ranges...

And that got me thinking...(& literally, rummaging the cup-boards in my memory-p(a)lace (a dingy hut rather..!! :P))...

And soon, i found something interesting, an utterly simple way of making mountains...based on pairs of Parentheses which can be nested together as well as shown below...[click the pic below to see better! ]

I was working on an alternative way of making mountains out of "strings' while my dear friend Prashant came up with this beauty (http://on.fb.me/vOOgx0)... :)

Jusst made my own, "verbose" (like me moron..!:P) version...which is more like instructing a robotic arm(or a child) to draw the mountains, with a simple rule as below:

Traverse the string of brackets...given as input
If you encounter a "(", ASCEND i.e., draw a line moving towards the UPPER-RIGHT hand corner.
Else (if it is a ")"), DESCEND i.e., draw a line moving towards the LOWER-RIGHT hand corner.

Here's the output of my baby Mathematica(l) program: [click the pic below to see better! ]

As I came running DOWN the Stairs & shared with Prashant [it's always the Eureka! phenomenon, albeit with my clothes on..! ;) ], the thing of JOY (& BEAUTY!) that I discovered, & want to point out in this 'technique', is that it is a "look-see" device, or a sort of visual "check" fer whether a string of parentheses are properly 'balanced' or NOT! :-)
[

The simple heuristic/observation is that the brackets are 'okay' if the mountain-ranges reach 'back to ground-zero' i.e., the same height that they started out with/frem!

This assumes that the input-string begins with a "(" else, a trivial counter-example is : "())(" -- Can you see why..? :P

]

Any sort of 'imbalance' in the brackets, gives rise to a 'limping' Mountain-range...!:P

I request you to please check it out yourself!

The beauty of this is the utter simplicity; NO Need of sophisticated programs, nothing..!! :)

Even a child can doodle it & discover...& create a infinite number of mountain-ranges of different shapes & sizes...!

Note the following points:

The deeper the nesting, the taller the mountains become.
Also, YOU can 'guess &/or calculate & prove' the relationship between the TOTAL number of bracket-pairs & the TOTAL possible number of ways in which a 'proper' mountain range could be created.

Feel FREE to EXPLORE & share...!! <3 :)

Cheers, to the weird werld of Patterns around (which includes u (s) ! ;-) ...! ♥ :)

Merry X-mas & a Wonder-Filled Happy New Year to YOU n oLL your dear ones..!

Take care, & Keep Smiling, AL(L)-ways..!

Love & Best Wishes,

The boy in "rags" :-)

"Math is sometimes called the Science of Patterns."

: Ronald Graham

Randomness_001

2011-12-21T19:53:00.012+05:30

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"

if

2011-07-08T11:04:00.000+05:30

If. . . !

If you can keep your head when all about you
Are losing theirs and blaming it on you;
If you can trust yourself when all men doubt you,
But make allowance for their doubting too;

If you can wait and not be tired by waiting,
Or, being lied about, don't deal in lies,
Or, being hated, don't give way to hating,
And yet don't look too good, nor talk too wise;

If you can dream - and not make dreams your master;

If you can think - and not make thoughts your aim;

If you can meet with triumph and disaster

And treat those two imposters just the same;

If you can bear to hear the truth you've spoken
Twisted by knaves to make a trap for fools,
Or watch the things you gave your life to broken,
And stoop and build 'em up with wornout tools;

If you can make one heap of all your winnings
And risk it on one turn of pitch-and-toss,
And lose, and start again at your beginnings
And never breath a word about your loss;

If you can force your heart and nerve and sinew
To serve your turn long after they are gone,
And so hold on when there is nothing in you
Except the Will which says to them: "Hold on";

If you can talk with crowds and keep your virtue,
Or walk with kings - nor lose the common touch;
If neither foes nor loving friends can hurt you;
If all men count with you, but none too much;

If you can fill the unforgiving minute
With sixty seconds' worth of distance run -
Yours is the Earth and everything that's in it,
And - which is more - you'll be a Man my son!

:~ Rudyard Kipling

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

One of my favourite poems---it truly inspires me in moments of despair & loneliness...!
Hope you can FEEL it too pa..??

Please DO let me know...IF you like...! :-)

Take care, & Keep SmilinG...!

Love & Best Wishes,

The moron in "rags"

Planet Earth

A RuN to Remember...

2011-07-03T14:43:00.005+05:30

Stairs to Heaven...!

June-17, 2011.
It was the birthday of Miss Sinda & Dinsa, my dear friends at the office...
Apart frem being identical twins their names are anagrams of each other, & their b'day is a Prime (17) , with their star-sign's constellation being Gemini which also stands fer twins..!! This really made me ponder & smile a bit..

June-15, 2011.
Another good friend of mine Amod Pandey, had posted a pic of him completing a marathon in the city of Bangalore. But due to heavy work at the office, I hadn't noticed it at till, late in the night of June-17, 2011(Friday), while was doing some official work at home, I just see it...& smile...!
...but was feeling a bit feverish & dizzy.

The number on his shirt, caught my attention---3649.
Well, suffice it to say that it drove my impending sleep away, as I began to find patterns in it, & ask my-self a barrage of questions like what is the smallest number with such a pattern, etc...!

June 18, 2011.
Sunday. Got reminded by mom that it was Fathers' day !
By now, I had devised a series of numbers with such a pattern...as I saw last night.
I secretly wanted to gift my Pappa something he'll feel happy about--because, he's always stressed the importance of Math ever since I was a child.

And the previous night, I had also submitted my series of numbers to an extensive online search program which would apply all kinds of heuristics & algorithms to check & ensure if this series that I had stumbled upon, was indeed a NEW one, or else the proverbial, old-wine in a new bottle...! Luckily, I received confirmation that the series was indeed NEW..!

Along with this confirmation came the need for lots of formalities---I was asked to fill detailed forms about myself, & provide description about the series, & even give a program to compute the first 'n' terms of the series...[Else, anyone could reel off some random numbers & name the resulting series fer him/her-self... :)) ]

Anyways, I did that, & was asked to make some subtle changes in my documentation, which I did too.
The series I had submitted was now in the 'proposed' state---awaiting detailed analysis by REAL mathematicians & scientists behind the Online Encyclopedia of Integer Sequences, who would take the final decision...

Anyway, I immediately fergot all about it---and with absolutely no expectations about it, went to sleep....

The next morning, at office, I was very pleased to find a mail stating that my series had indeed been APPROVED & ALLOCATED...!!!

My lit'l Discovery had changed its status frem PROPOSED to APPROVED...!!

Mine is the 1,91,867'th series 'registered'---though it is actually a kind of generating function for an infinite(?) number of new similar series...! [I only considered n=2 fer now, since the square has always had mysterious applications w.r.t. the Universe around us...!]

That said, there are TONS of questions to be explored like the following :

a) The beautiful stair-case-like graph(s) of the members of this series...
Click on the below graph if you want to see a sample..! :)

{ Notice the unusual structures on the graph ?? Well, i purposely strove hard to make it look like the stamen (with those peculiar anthers !)of a Hibiscus flower ! :-) How ?? By using the Greek small letter 'theta' as the plot 'marker'...! ;)) }

b) Is the series INFINITE...???? Fer ANY value of n ??
[My conjecture is that it IS...at-least fer n=2]

c) Any 'weird' places where this series 'pops-up'...??

Well, those r interesting points to ponder about....

And the below lines express my feelings very aptly..

Love & Best Wishes,

The boy in "rags"

Some Reflection. . .!

2011-06-25T12:50:00.000+05:30

What a love-ly SONG....!

{I'm mailing this to SOME of my FrienDs right away...!!}

Really touched my heart...& made me wonder HOW many such lit'princesses abound...stifling their DReaMs....!!! :-(

Applicable to SO many of US on soo many levels......!!

(frem the Disney movie --- Mulan --it's beautiful..! Sung by Christina Aguilera)

Hope we Don't Just see Animation movies jusst fer entertainment...!

And nourish & cherish An(y)-Emotion that such gems stir in our Hearts...!!

Love,

the boy in "rags"

Planet (H)Eart(h). . .

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

Reflection. . .

Look at me---
i will never pass for a perfect bride, or a perfect daughter
Can it be i'm not meant to play this part...??
Now i see that if i were truly to be myself
i would break my family's heart

Who is that girl I see. . .
. . .staring straight back at me?

Why is my reflection someone i dont know...??
Some how i can not hide who i am, though i've tried. . .

When will my reflection show who i am inside...??!!!
When will my reflection show who i am inside...??!!!

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

Unlearning misht-lakes..!! :-/ :)

2011-06-05T18:42:00.002+05:30

I pursed my eyes, observed deeply, & realized a shocking truth, that I was mis-spelling the name of the great Hungarian genius Pál Erdős...!!! :-/ :-(

You too are mistaken, if you thought that the o in his name has an ordinary 'umlaut' over its head ! :P Decided to type it out & share...! :)

Also, thanks to my teacher Mrs.Sanhita Mahindrakar (who was such a great friend & guide & changed my life forever, by gifting me this book I didn't read for the 1st 2 years---"A Brief History of Time" by Prof.Stephen W Hawking ! :) ) at high-school, I learnt very late in my life about 2 more typos in my brain...'vaccum' (should be 'vacuum'!), & 'seperate' (should be 'separate' !)

Here's the not-right way...which is easy to assume...hahaha...

[Click on it..!]

and here's the right way, with what is called a Hungarian umlaut accent mark on the letter "o" : [Click on it...to see it better..]

Sigh...our mind/intellect, takes too many things fer granted...we must try and be... awake,...alert,...and aware...of the sheer emtpiness inside..!!

Keep Smiling...! :)

Lots of LOVE & Bessst Wishes...AL(L)ways...as always...! :)

The Boy in 'rags'

Planet Earth

=================================

“How very little does the amateur, dwelling at home at

ease, comprehend the labours and perils of the

author.”

-- R.L.Stevenson and L.Osbourne, "The Wrong Box"

=================================

A Font-astic quote on Fractals..!

2011-05-29T18:33:00.011+05:30

Fractal Universe! :)

Hi pa..!!

Please click on the below image, download it if you please, observe it...after reading it..!

Would you believe that it took almost 45 minutes to carefully "type" out the above paragraph..?? :) You may find the book mentioned above, but you will never find it in a way presented above.

Just notice the minute details, like for example, the way the words "cold" & "dry" (the quotes around them rather !) have been 'rendered', as also the fact that "i" is/am wearing a "hat" too...!!! ;-) :)

This is in fact, the opening paragraph of the magnum-opus of Benoit Mandelbrot (notice the right way to spell his name)--"The Fractal Geometry of Nature", which took the world by storm, & almost single-handedly elevated Fractals into the realm of the believable, rather than being mocked upon as 'silly program artefacts' that have no practical applications or implications what-so-ever...! It now turns out that Fractals & Chaos are at the 'heart' of almost every Physical phenomenon or manifestations of the Universe...!!

I am really shocked to find people who routinely ask me --"WHAT use is OLL this mathematics of?? It does not have any practical use..." That is the farthest from the TruTh anyone could ever get! :-)

Anyway, I just wanted to share this fantastic piece of quote by 'dressing it up' with an amount of care perhaps never given to it before..! Hope you liked it, & it makes you (p/w)onder pa...?

I should soon make some FRESH starts...of discoveries, & this has really inspired me indeed...! :-)

I wonder if...if...

"our universe is itself, a fractal...?!??" :)

Love & Best Wishes,

The boy in 'rags'
Planet Earth
----------------------------
'Begin at the beginning,' the King said gravely, 'and go on till you come to the end: then stop.'
:- Lewis Carroll (Alice in Wonderland)
----------------------------

Shear Magic...! <3 :)

2011-05-08T15:31:00.001+05:30

Hi pa!!

Well, one of my friends Shreyas, had shared a link on the topic of matrices in general, & there they had shown a very interesting "shear" transformation of the image of the famous MonaLisa of Leonardo Da Vinci.

Here is that image...courtesy Wikipedia ( Click this link )

And I had promised that I too would try n somehow do that on my own...!!
Because, I felt, with my Wishful Thinking, that OLL it needs, is a matrix representation of the image in question, & then, apply a 2X2 or 3X3X3 "transformation" matrix on it...! :)

And I shut myself up, trying this way & that...checking if there's a very simple representation I could work with...but all my efforts had either gone astray or in vain...into the drain...!! :-(

But all of a sudden, teday, (on the eve of Mothers' Day..!?!?) I was able to JUST Do it..!! :)

And hence, without much ado, let me SHARE this sheer miracle..!!
[Note: SHEAR & SHARE are anagrams of each other! Howzzthat..?? :P]

Fer this experiment, I decided to use the snap of the beautiful Maria Sharapova--guess she's lucky enough to be chosen by Me fer some image make-over(s)..!!? ;)

BEFORE the SHEAR: (As-is, in fact the "shearing" parameter is all zeroed out..!)
-----------------------

AFTER a +ve SHEAR in the horizontal (x-axis) direction
-----------------------

AFTER a -ve SHEAR in the horizontal (x-axis) direction
------------------------

Hope u liked it pa..!??! :)

As fer me, i jusst LOVE--D it...(including the snap of Maria too..! ;) Sorry Maria...but thanks fer your b'ful snap & fer bearing with this...!! :) )

Thus, with some stubborn determination & image-ination, we can always manage to do some "transformations"...!! :P

Keep Smiling....AL(L)-ways...! :-* :)

Love & cheers,

the moron in "rags"
---------------------------------
Note: As a follow-up to this, I was able to extend it, & achieve a 3-D shear also..by setting up a nice, 3-dimensional [3X3X3] matrix.
But I feel the 2-D shear illustrates it just fine enough... :)
====================================================
Here's one of my favourite oxy-moronic quotes in this context... :)
I close my eyes, in order to "see"...
- Paul Gauguin
====================================================

A pithy lit'l ge(R?)m..!! <3 :)

2011-04-17T14:04:00.001+05:30

A R[ae]gex quote...!! :)

Recently, this quote "came to me" out of nowhere, in response to a cute little cartoon shared by my dear friend Arun Kapoor...

And i felt it deserve(s/d) to be shared...with YOU too/esp....!! J

================

"....OLL i need....is a

((CARTOON)?(ist)?) (FRienD)?...

Hmmm...."

:~ me-(mo)R(on)

================

Yes !!

I couldn't believe it...!

It was a unique, REGEX quote...where (expr)? denotes 0 or 1 occurrences of expr --TRY it..! :)

And then, I spontaneously thought (& wrote!) aloud (on FaceBook). . .

that

since there aRe 3 ? symbols, (0 or 1 occurrences!), there aRe 2^3 = 8 possible combinations & hence quotes possible...!

Now, that's pithy....ain't it..!?! ;-) :P
[

Yeah...what a PiTy...!! :(

Indeed it is...that the language has to suffer a fool like me gladly !:D

]

================

* * (000)

"....OLL i need....is a...Hmmm..."
--Sadness...un-expressed emotions..!! :-(::

================

* * (001)

"....OLL i need....is a FRienD...Hmmm...."
--Loneliness...

================

Soon, I also observed that (010) & (011) r not meaningful...

* * (010) "....OLL i need....is a...ist...Hmmm..."
&
* * (011) "....OLL i need....is a ist FRienD...Hmmm..."

================

But the REMAINING were oLL fine :)

================

‎* * (100)

"....OLL i need....is a CARTOON...Hmmm...." --again, someone lonely...but who loves cartoons..! :P [who else..! :P]

================

* * (110)
"....OLL i need....is a CARTOONist...Hmmm...." --Purrhaps..the editor of a newspaper/magazine..!? :P

================

‎* * (111)
"....OLL i need....is a CARTOONist FRienD...Hmmm...." --straight-forward... :)

================

Sorry fer irritating oll by stating the 'obvious' (?!)...but ONLY becoz i tried it did i realize that 2 of them were invalid..!

But as I've quoted E.T.Bell in my blog ,

"Obvious, is the most dangerous word in mathematics."

Thanks fer bearing with me...!

Lots of LOVE & Bessst Wishes...AL(L)ways...as always...! :)

The Boy in 'rags'

Planet Earth

Keep smiling...!. . .

:-)..!

A strange Black Swan. . . ! :)

2011-03-21T22:44:00.004+05:30

Hi pa!

i know you may laugh at it; i too did initially, till...
...till. . .i began hearing it laugh at me..!! :)

Here it is...a pattern that emerged by sheer chance...or in short, serendipity..!

I was shocked & amazed at HOW it looked like a mysterious, tantalizingly beautiful SWAN...!! :)

And before you laugh it off as a random cellection of numbers & symbols, let me assure you otherwise...!

It is actually the exact expression, or, a short-cut if you want, to compute the sum of the first 'n' natural numbers, with each raised to the power of 100.

Yes, you 'heard' it right...it is the value of : {Click to see it as a larger image}

And you might be surprised to know that I had to toil more to get the above summation equation than the below expression...!! :)

Anyways, here she is. . . my beautiful Black Swan...! :)

"Why can't I too recognize/find visual patterns in beautiful numbers..?? :-/

Certainly, if our ancestors could find our so-called 'constellations' by sheer co-incidence like the Big Bear(Ursa Major), the Hunter (Orion), Scorpius(Scorpion), The Bull(Taurus) et al, then, I too can ( & shall)...! :)"

~R. . .

[Click on it, to view it better...]

Love & Best wishes,

the boy in "rags"

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

Reflect upon this...!

2011-03-15T16:49:00.004+05:30

...MiRRoR...

I am silver and exact. I have no preconceptions.
Whatever I see, I swallow immediately.
Just as it is, unmisted by love or dislike
I am not cruel, only truthful –
The eye of a little god, four-cornered.
Most of the time I meditate on the opposite wall.
It is pink, with speckles. I have looked at it so long
I think it is a part of my heart. But it flickers.
Faces and darkness separate us over and over.

Now I am a lake. A woman bends over me.

Searching my reaches for what she really is.

Then she turns to those liars, the candles or the moon.

I see her back, and reflect it faithfully

She rewards me with tears and an agitation of hands.

I am important to her. She comes and goes.

Each morning it is her face that replaces the darkness.

In me she has drowned a young girl, and in me an old woman

Rises toward her day after day, like a terrible fish.

:- Sylvia Plath

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

PS: I felt the beautifully abstract, 'minimalistic' painting above was tailor-made fer this gem of a poem I wanted to share. It was done 'extempore' (that too on MS-Paint!) by my dear friend Prasidhya Sridhar. Thanks a lot fer her allowing me-moron to use it here! :-)

Sylvia Plath was a beautiful lady who wrote verse that is filled with great sensitivity & a keen observation of Life & its vagaries. Sadly, she ended her life due to depression when she was only 31. :-(

Anyway, hope you liked this poem pa..? :)

Take care, & keep REFLECTING. . . :)

Love & Best Wishes,
The MiRRoR in "rags"
Planet Earth
===========================

A gem on Dreams...

2011-03-10T22:56:00.004+05:30

~o~o~o~o~o~o~o~o~o~o~o~o~o~o~

DReams...
~o~o~o~o~o~o~o~o~o~o~o~o~o~o~

Hold fast to dreams
For if dreams die
Life is a broken-winged bird
That cannot fly.

Hold fast to dreams
For when dreams go
Life is a barren field
Frozen with snow.

:~ Langston Hughes
~o~o~o~o~o~o~o~o~o~o~o~o~o~o~
Love & Best Wishes,

The Dream(er) in "rags"...
Planet (H)eart(H)
-----------------------------------------

Thanks to Mommy :)

2011-03-08T17:06:00.004+05:30

A cup of Tea,an idea,and...voila! :)

Yesterday…as I was getting ready to go home early, I got stuck up with some office-work, & ended up having to wait for almost an hour for a bus in which I could jostle & finally reach home…

Not surprisingly, mom was peeved at me for not being home “on-time” ;she waits fer me everyday, just to have a tea with me...!

{My Pappa does not drink tea or coffee. And that leaves only me fer her company…!}

But soon, seeing how tired I was, her anger melted & turned to affection, and before I knew it, I was sitting before the TV with a steaming cup-o’tea, dunking & savouring bread slices, regardless of the fact that it was almost dinner time for the rest of the world.. :)

And then, I had dinner with Pappa & Mommy, but during dinner, there was talk about the world, & various countries, etc. And Mommy became especially curious to know if we could easily get every country’s name, along with its capital-city.

{

She seemed impressed at first when I told her the place where my dear friend Siva Prasanna is currently staying, called Dar Es Salaam, is the capital of Tanzania in Africa. She then suspiciously asked if I knew all the countries & capitals of the world, or if I was just bluffing. Hahaha. Nobody seems to believe me-moron..? :(

}

That’s it...! :-)

The unexpected cup of tea, and my Mommy’s curiosity had their effect…!

I quickly ran into my room, to my lappie…& came up with a 2-line (yes ! Just 2 lines!!) code which created this magical image… J

It has a list of 237 countries, their capital cities & their flags & even their shapes respectively...!

{Click on it..., better save it & SCROLL & view with a program like Google's Picasa..!! J}

Tried..??
I know...the image doesn't even appear at its normal size right..?
Thanks a ton to a few of my friends fer pointing it right away to me-moron.
"Only your real friends tell you when your face is dirty.", as my one of my oft-quoted saying (a Sicilian proverb) goes.:-)

Here's the LINK fer the image to download & view properly..! :)

The strange thing is, I took hardly 5 minutes to cleverly set up those 2 lines…but took an additional 20 minutes to get my CRAZY COLORs, FONTS, etc…! J

Some interesting points to note:

The font I wanted ( & managed to get!) is simply country number 138 J
The map of Egypt (number 60) has a near perfect right angle…looks like a right-angled triangle… J
The flag of Isle of Man (number 100) is so interesting, and unusual.

This then, is THANKS to YOU Mommy...!! :-)

Love & Best Wishes,

The boy in 'rags'

Planet Earth

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

"The best academy-a mother's knee."

:- James Russell Lowell

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

Five elements !!

2011-03-05T15:17:00.006+05:30

Phew..!!!

At-last, I have been able to "write out" this GEM, and thankfully, this time, not in a notebook in my scribbly hand-writing...!! :)

Please take a moment...to Behold the Beauty Below...:)
(Oh...nice alliteration there! :) Hmmm... :))

[ And Click it if you like..! ;-) ]

Like the five cosmic elements of the Greeks, or the ancient Indian system of seeing the Cosmos as being composed of Pancha-bhoothas (ಪಂಚಭೂತಗಳು--see this link), this lit'l equation, also known as Euler's Identity, somehow manages to unite 5 lovely "elements" in one place..!

(a) Euler's number e,

(b) a mystical element i (square root of -1) frem the Complex World..(like Ether..?? :) ),

(c) Unity (1),

(d) Nothingness (Zero--0 ), and

(e) To top it all, a Pi, the transcendental number that makes the World & so many more things (go) ROUND ! :P

Really, an awe-inspiring beauty indeed..!!

Love & Best Wishes,

The moron in 'raghu',{Planet Earth}

{

PS: How nice that even 'raghu' & "moron" have 5 (a Prime!!) characters apiece in them...! :)

}

An in(cr)edible recipe_Part_002 <3 :)

2011-02-24T00:40:00.005+05:30

(This is the 2'nd & final episode of a mysterious piece of pattern....read the first, crucial part here )

Phew...!!!

Finally...! :-)

The time has come...and due to inspirations in various forms...i've finally come "round" to breaking this long suspense over my recip(i)e...fer well...see it below..!

I have talked about a special function f(n) in my previous post

Now you may be wondering what is so special about it..

Isn't it..??

Have you EVER wondered WHY or HOW the famous mathematical constant, the transcendental number of Pi is usually said to be 22/7 right frem (y)our school days...?

Well, HOLD your breath...& click on the below image I created...(finally, after 4-5 days of being "stuck", "lost", & suddenly getting the solution to generate in one simple line of code..!! :) )...

I shall NOT say ANything ELSE/MORE...!

Just Click, & I'm sure you'll Smile...!! :)

Isn't this one of the MOST surPrising of oLL algorithms/patterns..!??!

The result above is NOT a fluke or co-incidence..

We get even better approximations to Pi at n=5076, etc...& it hovers quite near the value of Pi...as n increases..

I am not aware of ANY Proof as such as to WHY or HOW this ratio seems to approach or approximate Pi the way it does...

[But the max i know is that it could have been discovered by the great genius of Pál Erdős alongwith one of his beloved friends...though I'll surely update this space with more accurate info., as soon as i 'remember' it...!! :) ]

Whatever it is...!!

This is ONE Pi(e) recipe...that is unlike No/few other...!!!

And I'm presently thinking of scribbling a book-let at-least with a cellection of the Greatest such recipes...!!!

WHAT do you say pa..!??! :)

Please say something..!?!?

Come on now...please do respond to me...!! :-(:::

Why, aren't you my sweetie Pi(e)..!?!? ;-) :)...Hmmm...??? 

Take care...& keep smiling..! :)

Lots of LoVE <3 :),

The moron in 'rags'

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

"If numbers are not beautiful, 
 I don't know what is."

:-Pál Erdős

I leave you with such a cute, yet beautiful piece frem 'Peanuts' courtesy of Charles Schulz

[click on it...to read it & smile...& please keep smiling..!! ]

=========================================

An in(cr)edible recipe_Part_001 <3 :)

2011-02-17T15:00:00.000+05:30

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...!! :)

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

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}

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...!!!

]

Frem Negative to Positive..! <3 :)

2011-01-30T21:32:00.003+05:30

Hi pa,

The other day, while thinking of the strange vicissitudes of life, I came up with a very nice quote...but unfortunately, very few of my friends seem to have pondered about it, & the loving, love-ly graphs I came up to support it & the corollaries...!! :-(

So, here i am...writing to you...to share my 'babies' again...in hope...! :)

What i thought/said was...

"Life, is a sine-wave."

Later, it dawned on me that, all life "dies" down ultimately...even a wave loses its energy ultimately ( in the "real" universe, not theoretical..!)...

So, I modified my statement to :

"Life, is a (damped) sine-wave (in space-time)."

Hahaha..! Here's a real "Damp" life/wave...! [click on it fer a better view..!]

It was generated by plotting the below equation . .. [click on the image to see better !]

E^(-t/2)*(Sin(4t)). . . :)

Note the "negativity" in it...!! :-| :)

. . .A stroke of Optimism later...! ;) :)

But soon, I asked my-self ( & the equations..!) :

What happens if U use a bit of Positivity..???

And also have a Co-(Pilot/Sine)...& half a pi(e) to eat..?? :)) [click on the image below to appreciate it..!]

E^(+t/2)* Cos(4*t + Pi/2). . . :)

Just LOOK at the Change (in INPUT, & hence, in the OUTPUT!)...! ;) :)

Click on the below image to see it fer yourself ! :)

Hope you take the second wave-form as your Life...!

In deed, with a disturbance like ME in your Life...HOW can it be a Damped sine Wave...?? ;-)

It shall un-DoubteDly be an Ever-Rising WAVE of Joy & Wonder...with an under-current of calm observation & bliss...!

Hmmmmmmmm...

Take care...and keep L(i/o)ving...!! :-O :)

Lots of Love & Best wishes,

The moron in 'rags'

Planet Earth

=============================

The reluctance to put away 'childish' things may be a requirement of genius.

~Rebecca Pepper Sinkler

=============================

Search for Snakes...! :)

2011-01-12T15:16:00.004+05:30

Hi pa,

Thanks to my friends Hemanth, Gundeep, Anand & Amit, me got to know recently that 2011, apart from being a prime, is also the sum of 11 consecutive primes..!

Here's the problem formulation I managed to somehow type...which i have tried to make as generic as possible...
(except for the operation being Summation...!! It could be Product, or anything you can think of ! Feel Free to play around, explore & note down any beautiful patterns u may stumble upon...! :) )

Please click on the below picture to read the text better..it's just my silly analogies..but hope it's clear enough..?! :)

I decided to scribble some code to do this...& I discussed with many of my dear friends like Pavan, Prasidhya, et al., about my intuition as to how to go about it...I am Always indebted to them, fer NEVER EVER getting irritated with me-moron, but always smilingly listening to what I had to say ( or scribble & doodle, as always..! :) )...!

But somehow, i could never bring myself to actually write any piece of code---i was in that 'stuck' state...of utter emptiness, like always..! :)

I would struggle to articulate & explain one approach to my dears, & my MIND would soon fill up with counter-arguments for it, & soo much noise that I soon decided to shut-up & stop disturbing them with my stupid blabberings, and instead, leave the problem...(to simmer...! :))...

Post-Lunch....alone....and a hunch...!! ;) :)

And one fine day...(not so fine...since i was all lonely fer lunch...!), I was walking back from lunch, looking up @ the lovely clouds floating in the azure skies....& ...YES..! :)

i suddenly felt the ideas rushing into me...!! :)

i hurried up to my floor...took a cup of Tea...& feverishly typed a baby Java program...(not meant to be a model of coding..no ways..but, instead, just a transliteration of what i 'heard/felt' ...should/can be done...to discover this LONG, coiled, camouflaged SNAKE...nestled in the infinite ROPE of Numbers...!!

And except for an initial "ArrayIndexOfOutOfBoundsException" once, my baby program ran without any hassles...& showed me exactly what i wanted to see ! Phew !! :)

Have decided to share the complete code fer YOU, if you are interested, so that you can improve/modify it & do your own experiments...! :)

Please visit the below link to see the source-code (scantily/crazily documented...on the 'spur of the moment' :) )...u can hv a good laugh @ HOW it is JUST a plain translation of my childish idea...! :)
http://pastie.org/private/9aeq40yg5d6deflhxddata

Click on the below image to see a sample run... :)

Hope you too begin 'seeing' some snakes & worms & patterns in numbers then...!

Take care...and keep L(i/o)ving...!! :-O :)

Lots of Love & Best wishes,

The moron in 'rags'

Planet Earth

=============================

One of my all-time inspiring quotes...(yet again..!!)

Computers are useless; they can ONLY give you answers.

:- Pablo Picasso

(Hope the lit'l child below makes you smile..?? Courtesy of dear Mr.Charles M. Schulz (Peanuts) :) My state was/is JUSST Like this...Hmmm...!!)

=============================

Searching. . .in Vain ! :-|

2011-01-08T17:00:00.000+05:30

Hi pa,

Recently, my dear friend Vijay had written a love-ly poem in Kannada, which reminded me to share a "bhaavageethe" (bhaava=emotion, geethe=song) written by the poet G.S.Shivarudrappa & rendered so poignantly by the late C.Ashwath, a legendary singer & music composer himself.

I vowed to try & type that song in KannaDa script & only recently, managed to do it..!

Phew..! Better late than never..! :)

So, here it is...to You, dear Vijay...as Promised..! :)
{Please do contact me to receive the brilliantly composed song (audio)...! Shall only be too happy to share it.. :)}

Click on the below image, to read/see better..!

. . .a Love-ly song indeed..!

It says how we search in vain fer a God that does NOT exist...amongst ruins of stones & mortar, whilst missing to see/feel the divine essence in our own midst..among our fellow beings, in our hearts...in love...in beauty..!
It also laughs at how we build fortresses of arrogance & stone-hearted numbness, stifling the eternal bliss of Love that could have flowered within..! :-(

So apt & relevant for OLL of us, in this age of superficial progress & inner shallowness & stupidity!

Love & Best Wishes,

The moron in 'rags'
Planet Earth

My lit'l Dedication ! <3 :)

2010-12-25T15:44:00.003+05:30

Please do "feel" this video-song...(frem West-Life !)
It's a (D/M)edication fer my Lovely Loving Ones ! In fact, it is...frem every loved one to their loving one(s)..!

I feel, & I hope the lyrics say it oLL..!! :)

{You Raise Me Up. . .}

When I am down and, oh my soul, so weary;
When troubles come and my heart burdened be;

Then, I am still and wait here in the silence,
Until you come and sit awhile with me.

You raise me up, so I can stand on mountains;
You raise me up, to walk on stormy seas;
I am strong, when I am on your shoulders;
You raise me up: To more than I can be.

There is no life - no life without its hunger;
Each restless heart beats so imperfectly;
But when you come and I am filled with wonder,
Sometimes, I think I glimpse eternity.

You raise me up, so I can stand on mountains;
You raise me up, to walk on stormy seas;
I am strong, when I am on your shoulders;
You raise me up: To more than I can be.

You raise me up, so I can stand on mountains;
You raise me up, to walk on stormy seas;
I am strong, when I am on your shoulders;
You raise me up: To more than I can be...!

----------------
Lots of LOVE & Warm regards,
i-moRon -- Rags..!

Planet Earth. . .!!
=============================================
And now, fer a touching cartoon frem "Raising Duncan" by a Mr.Chris Browne

[Click on it...to read it properly..!]

And YES !
Still looking fer the SONG ? :)

Click this link : You Raise me... !!

=============================================

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

2010-12-16T00:48:00.002+05:30

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]

Women and the Universe ! :)

2010-12-01T00:45:00.000+05:30

Relationship between Cosmetics and the Universe...?

Just notice this amazing thing :

...That the words cosmetics & cosmos (=the Universe)..both share a common Greek-root viz., κόσμος ("cosmos" spelled in Greek), which means "order-ly place".

The ancient Greeks believed that our Universe, or the "cosmos" as they called it, was a very order-ly, well-planned system with all the celestial bodies arranged in a great harmony. The term "cosmos" thus carried the connotation that was the exact opposite of "chaos", a state of sheer dis-order.

Well...now, it's easy to see what people...especially women...try to attain via their slew of cosmetic-products...!! :P . . .An attempt to mask the underlying chaos...with a layer of cosmos...!!?!? ;)) [No offence meant please..!! :) ]

Today all of a sudden, I got reminded of this observation twice...once in the office & once now...at home...& hence, I decided to share it before I go.

Hope you enjoyed it pa..? :)

Hmmmm...Take care...n Please Smile; and Keep Smiling...

Love & Best Wishes oLL-ways,

The chaos & cosmos in rags,
Planet Earth
-------------------------------------------------
And here's something H(e)art-Warming to make you Smile...(or Sigh..!? ;) )
(courtesy "BC" by Johny Hart)

Blinded by Beauty, but not Blind *to* it...! ;) :)

Mountain (de)Range(R/D)s...!! :)

Randomness_001

if

A RuN to Remember...

Some Reflection. . .!

Unlearning misht-lakes..!! :-/ :)

A Font-astic quote on Fractals..!

Shear Magic...! <3 :)

A pithy lit'l ge(R?)m..!! <3 :)

A strange Black Swan. . . ! :)

Reflect upon this...!

A gem on Dreams...

Thanks to Mommy :)

Five elements !!

An in(cr)edible recipe_Part_002 <3 :)

An in(cr)edible recipe_Part_001 <3 :)

Frem Negative to Positive..! <3 :)

Search for Snakes...! :)

Searching. . .in Vain ! :-|

My lit'l *D*edication ! <3 :)

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

Women and the Universe ! :)

Blinded by Beauty, but not Blind to it...! ;) :)

My lit'l Dedication ! <3 :)