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Hey Nish
only thing you need to do is divide the number into two parts
Q = (A^2 + b)
the only constraint here is
The Greater the A the better the Bakhshali Formula's result
So in this case if you take A = 550,
because A^2 = 30,2500 < 30,8197
so b = 308197 - 302500 = 5697
sqrt(308197)[^] =
550 + (5 697 / (2 * 550)) - (((5 697 / (2 * 550)) * (5 697 / (2 * 550))) / (2 * (550 + (5 697 / (2 * 550))))) [^]
This is accurate upto 5 decimal places
Even if you take
A = 500 , A ^ 2 = 25,0000 less than 30,8197
b = 58197
sqrt(308197)[^] = 500 + (58 197 / (2 * 500)) - (((58 197 / (2 * 500)) * (58 197 / (2 * 500))) / (2 * (500 + (58 197 / (2 * 500)))))[^]
This is accurate upto 2 decimal places
The Greater the A the better the Formula's result
So, it is simillar to the newton theory of approximation which is a iteration , but its one shot formula and gives much better result if A and b are properly chosen.
it was very recent that i also discovered about this formula and knew about Bakshali's manuscript you won't believe Bakshali's Manuscript were written on a Birch Bark and was found in a village in punjab (Bakshali is the name of the village) in 1881
i was totally amazed by the finding ,here[^] The manuscript is in oxford now
Raj
Omit Needless Words - Strunk, William, Jr.
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Universal DBA | Ajax Rating | ExplorerTree
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Thanks - now I get it
Regards,
Nish
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i am going on the vacation so i thought i will put the solution here
anybody who can dig till here, can post the solution
Question was will the SUM of the following series ever reach 100
SUM of the series: 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 . . .
(10 to the power 44) - 1 terms. The sum is 100 + 0.891 when n = 10^44
if somebody reaches here , please leave a note
hint for solution : If you add 1 to both sides ; the series becomes 1 + 1/2 + 1/3 + 1/4 + . . .
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Rule # 17: Omit Needless Words - Strunk, William, Jr.
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you mean infinite is the answer to the question ?
Rule # 17: Omit Needless Words - Strunk, William, Jr.
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Shameless selfplug: Universal DBA | Ajax Rating
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Quartz... wrote: you mean infinite is the answer to the question ?
Yes!
"It diverges, albeit slowly, to infinity." --- Harmonic series (Wikipedia)[^].
Maxwell Chen
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Sorry if i got you confused
my question was, Will the SUM of the following series ever reach 100 and at what value ?
1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 ....
definetly it will diverge to infinity since its sum is increasing
Rule # 17: Omit Needless Words - Strunk, William, Jr.
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Shameless selfplug: Universal DBA | Ajax Rating
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People who are trying to decide whether to create a blog or not go through a thought process much like this:
1. The world sure needs more of ME.
2. Maybe I'll shout more often so that people nearby can experience the joy of knowing my thoughts.
3. No, wait, shouting looks too crazy.
4. I know - I'll write down my daily thoughts and badger people to read them.
5. If only there was a description for this process that doesn't involve the words egomaniac or unnecessary.
6. What? It's called a blog? I'm there!
The blogger's philosophy goes something like this:
Everything that I think about is more fascinating than the crap in your head.
Disclaimer: by scott adams when he first started his blog..
"Not everything that counts can be counted..."
-Albert Einstein
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Quartz... wrote: I know - I'll write down my daily thoughts and badger people to read them.
Funny, I was just thinking along the same line. Except my thought was how would I prevent people from seeing anything I wrote?
Quartz... wrote: People who are trying to decide whether to create a blog or not go through a thought process much like this:
I use my blog mostly for venting, now that’s not to say its full of rant and rave but there are times when I need to write something down and don’t have VS near to do it. So I blog…
Question is why do you blog?
ZeePain! wrote: This seems like one of those programs that started small, grew incrementally, building internal pressure, and finally barfed all over its source code sneakers. Or something.
thedailywtf.com[^]
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sfdougl wrote: how would I prevent people from seeing anything I wrote?
why do you want to have a online blog then ! may be go for a private blogspace
sfdougl wrote: Question is why do you blog?
for me i think
=> Its more of an opportunity to connect with like minded people online
=> collect something interesting in a single place online could also be a reason.
sfdougl wrote:
I know - I'll write down my daily thoughts and badger people to read them.
But definetly not this one , for me it should be a very personal place and experience
"Not everything that counts can be counted..."
-Albert Einstein
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Quartz... wrote: why do you want to have a online blog then ! may be go for a private blogspace
That’s what Im eventually going to do, my server has IIS running already figured why not do some work. The only bad aspect to that is its one more thing that will need to be backed up.
Quartz... wrote: Its more of an opportunity to connect with like minded people online
That's cool and understandable; one thing great about the modern age is the communication infrastructure. Suddenly the planet isn’t such a large place any more. I just don’t have anything interesting to write about.
ZeePain! wrote: This seems like one of those programs that started small, grew incrementally, building internal pressure, and finally barfed all over its source code sneakers. Or something.
thedailywtf.com[^]
-- modified at 0:14 Tuesday 22nd November, 2005
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sfdougl wrote: I just don’t have anything interesting to write about.
Well i think you do have a lot interesting to write about, you read so many things online,
you learn so many things online , anything which impresses you can be a part of the blog
something which you can come back later and see
"Not everything that counts can be counted..."
-Albert Einstein
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Quartz... wrote: you read so many things online,
you learn so many things online ,
Umm have you been reading over my shoulder? I knew someone was there, damn it I'm going to have to get better locks for the doors. Seriously though that’s why I haunt the message boards attempting to help as I can.
Quartz... wrote: anything which impresses you can be a part of the blog
something which you can come back later and see
That is one nice things about blogs / diaries. They give you a glimpse back in time…
ZeePain! wrote: This seems like one of those programs that started small, grew incrementally, building internal pressure, and finally barfed all over its source code sneakers. Or something.
thedailywtf.com[^]
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If you have a Mysteriously Beautiful problem in maths
please post it here .
I am crazy about Mathematical Problems since the age of 10 and So far i have around
80 Problems which are actually "Impossible" or Mysteriously Beautiful. And the
collection is growing
ciao
"Not everything that counts can be counted..."
-Albert Einstein
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ok i will start, with a hope that somebody will add here...........
FIRST QUESTION i asked in the cp a week before
A PENNY SAVED IS HOW MANY EARNED... ? simple huh !
"Not everything that counts can be counted..."
-Albert Einstein
-- modified at 21:53 Tuesday 22nd November, 2005
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Nothing, its already here.
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Ok , here is a nice math problem :
Suppose we have one room .How many people must must enter the room so that : the probability that at least two of the persons inside are born on the same date , is not less than 0.5 ?
"Success is the ability to go from one failure to another with no loss of enthusiasm." - W.Churchill
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Good old one
well the quick answer is 23
because In a group of 23 people, at least two have the same birthday with the probability higher than 1/2.
because (364/365)·(363/365)·...·(343/365) = .493 and
1 - .493 = .507
does it need any explaination
"Not everything that counts can be counted..."
-Albert Einstein
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Puzzle Of The Day
The chances of a tossed coin falling head or tails is almost 50-50 with an extremely small chance of it falling on its edge. Therefore what should be the dimensions of a coin that has a probability of 1/3 to fall heads, 1/3 to fall tails, and 1/3 on its edge?
What is one supposed to do after reading this, You could of course pretend you haven’t read it but then who would know you didn’t?
The problem with these kind of problems is they look so easy and will stick to your mind till you get an answer
^[^]
"Not everything that counts can be counted..."
-Albert Einstein
-- modified at 15:46 Sunday 19th March, 2006
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A 9 digit number which is a perfect square consist of the digits 1 - 9 in some order.
One chance = > exchange the positions of two of them. In three chances the number should look like 123456789. What is this number? Interesting ????
What? What did you say ? Why do I write? Simple, because the human factor here is loser takes all. Nice, no? Your call.
"Not everything that counts can be counted..."
-Albert Einstein
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lets see ....
A Cpian puts 10,000 dollar in a Weekly trading scheme.
-> About half the time, He makes an 80% gain.
-> The other half, he makes a 60% loss.
One year later, how much money he will have?
a> 1.95
b> 14,000
c> 140,000
d> 1.4 Million
e> 131 Million
f> I don't want to answer and the question sucks
No Marks without explaination
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My first article^
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I calculate it as:
26 * 1.8 * 10000 + 26 * .4 * 10000 but that's nowhere near one of the options.
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Ok i am back, with some more mind toppling puzzles
To strengthen the genius in you on a boring friday and for some of you to ponder in the weekend.
You are a programmer turned mad scientist,
and decide to have a Party ONE MONTH from today.
-> You have one thousand bottles of wine
-> You suddenly discover that one of them is poisoned.
-> The poison takes a LITTLE LESS THAN a month to take effect.
-> You have a LOTS of lab mice at your disposal.
-> What is the SMALLEST number of mice that must drink from the
bottles to find the poisoned one?
Hint, hint: It’s a hint
So What could be a GOOD RESPONSE for this
a Give the right answers in a legit form of the English language
b Give wrong answers that sound better than any stupid right answer
^[^]
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My first article^
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What is the optimum size of a team in a project
So that if we add more members , they do not contribute productivity
equivalent to the percentage increase in the staff size ?
AND WHY ?
^[^]
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My first article^
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