Since: Apr 12

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#2635 Mar 1, 2013
polymath257 wrote:
<quoted text>No, I included that when I said it is the *infinite* sum.
As well as I did when I said I'm round off to a whole number.

Since: Apr 12

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#2636 Mar 1, 2013
polymath257 wrote:
<quoted text>Real numbers are *defined* as limits of rational numbers. I gave one particular limit (an infinite sum) that gives pi.
Yes, pi is an irrational number given by the infinite sum
4*(1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 +...)
That infinite sum is exactly pi.
You're not listing all of your figures.
This would be acceptable if you hadn't made the claim more less that no one else is allowed to round off Pi.

Since: Apr 12

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#2637 Mar 1, 2013
polymath257 wrote:
<quoted text>Do you mistakenly think that every number is either even or odd? Well, you are wrong. Every *integer* is either even of odd, but non-integers are neither. For example, 1/3 is not even nor is it odd. Neither is 1/10.
Pi is an irrational number, so it cannot even be written as a quotient of two integers (like 1/3 can). Even more so, it is not the root of any polynomial with integer coefficients (we say it is transcendental).
Perhaps you should learn some basic math.
Every integer can be covered to decimal. Except one.

What this never occurred to you?

“Think&Care”

Since: Oct 07

Location hidden

#2638 Mar 1, 2013
Langoliers wrote:
<quoted text>
No kidding.
News flash I know Pi !
It is you and your clan that claim you can't round it off.
I would love to see the number you use for Pi with out any rounding off.
I generally just use the symbol pi.

“Think&Care”

Since: Oct 07

Location hidden

#2639 Mar 1, 2013
Langoliers wrote:
<quoted text>
Every integer can be covered to decimal. Except one.
What this never occurred to you?
I'm curious what you think the exception is.

“Think&Care”

Since: Oct 07

Location hidden

#2640 Mar 1, 2013
Langoliers wrote:
<quoted text>
You're not listing all of your figures.
This would be acceptable if you hadn't made the claim more less that no one else is allowed to round off Pi.
When did I say that? But, if you round off, you won't get the exact value.

But the exact value of pi is not required to answer the following question:

If a vat is 10 cubits across, how many cubits is it around? You can round off your answer to the nearest integer if you want.

“Think&Care”

Since: Oct 07

Location hidden

#2641 Mar 1, 2013
Langoliers wrote:
<quoted text>
No kidding.
News flash I know Pi !
It is you and your clan that claim you can't round it off.
No, I am saying that rounding off inevitably produces an error into the calculation. The amount of error is determined by the amount you round off.

So, if a vat is 10 cubits across (diameter), how many cubits will it be around (circumference)? You may round off to the nearest integer if you wish.

“Think&Care”

Since: Oct 07

Location hidden

#2642 Mar 1, 2013
Langoliers wrote:
<quoted text>
As well as I did when I said I'm round off to a whole number.
How much error is produced when you do this? In particular, if the diameter of a vat is 10 cubits, what is the error produced in the calculation of the circumference when you round pi t the nearest whole number?

Since: Apr 12

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#2643 Mar 1, 2013
polymath257 wrote:
<quoted text>I generally just use the symbol pi.
As do most, while this works for writing down the equation. What number do use when calculating?

Since: Apr 12

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#2644 Mar 1, 2013
polymath257 wrote:
<quoted text>I'm curious what you think the exception is.
Pi

Since: Apr 12

Location hidden

#2645 Mar 1, 2013
polymath257 wrote:
<quoted text>When did I say that? But, if you round off, you won't get the exact value.

But the exact value of pi is not required to answer the following question:

If a vat is 10 cubits across, how many cubits is it around? You can round off your answer to the nearest integer if you want.
"When did I say that? But, if you round off, you won't get the exact value. "

Oh that's so critical when you're measuring using a Cubit! Finger tip to elbow.

Hey Fred double check my measurements before I cut this board!

Hey bubba you're off by 1/64 of a cubit!

LOL

“Think&Care”

Since: Oct 07

Location hidden

#2646 Mar 1, 2013
Langoliers wrote:
<quoted text>
As do most, while this works for writing down the equation. What number do use when calculating?
It depends on how much accuracy I want.

“Think&Care”

Since: Oct 07

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#2647 Mar 1, 2013
Langoliers wrote:
<quoted text>
Pi
Pi isn't an integer.

“Think&Care”

Since: Oct 07

Location hidden

#2648 Mar 1, 2013
Langoliers wrote:
<quoted text>
"When did I say that? But, if you round off, you won't get the exact value. "
Oh that's so critical when you're measuring using a Cubit! Finger tip to elbow.
Hey Fred double check my measurements before I cut this board!
Hey bubba you're off by 1/64 of a cubit!
LOL
No, in that case, you are off by more than a cubit. Almost a cubit and a half.

“Think&Care”

Since: Oct 07

Location hidden

#2649 Mar 1, 2013
Langoliers wrote:
<quoted text>
"When did I say that? But, if you round off, you won't get the exact value. "
Oh that's so critical when you're measuring using a Cubit! Finger tip to elbow.
Hey Fred double check my measurements before I cut this board!
Hey bubba you're off by 1/64 of a cubit!
LOL
Here's a question. Suppose you have that the diameter is 10 cubits. Suppose you want the circumference to be accurate to the nearest cubit. How accurate of a value of pi do you need to do this?

“Think&Care”

Since: Oct 07

Location hidden

#2650 Mar 1, 2013
Langoliers wrote:
<quoted text>
Pi
Do you even know what it means to be an integer? Seriously, do you think pi is an integer?

Since: May 10

Location hidden

#2651 Mar 1, 2013
polymath257 wrote:
<quoted text>
When did I say that? But, if you round off, you won't get the exact value.
But the exact value of pi is not required to answer the following question:
If a vat is 10 cubits across, how many cubits is it around? You can round off your answer to the nearest integer if you want.
It is infinite cubits around it.

(Got that from your and IAnus' Infinite Donut Theory)

It works for anything round. Not sure why it doesn't work for something square...

I'll consult your partners and get back to you.

...Hey, Darwin's Dickhead...! If a donut is infinite length around it, how come a square,...say a PopTart...is not??

I hope I didn't just prompt a new theory - The Infinite Pop Tart Theory.

You never know with these "experts".

Since: May 10

Location hidden

#2652 Mar 1, 2013
polymath257 wrote:
<quoted text>
Do you even know what it means to be an integer? Seriously, do you think pi is an integer?
Pi is not an integer.

It is also not a number.

Since: May 10

Location hidden

#2653 Mar 1, 2013
polymath257 wrote:
<quoted text>
Here's a question. Suppose you have that the diameter is 10 cubits. Suppose you want the circumference to be accurate to the nearest cubit. How accurate of a value of pi do you need to do this?
The nearest 10th.(.1)

Since: May 10

Location hidden

#2655 Mar 1, 2013
polymath257 wrote:
<quoted text>
Real numbers are *defined* as limits of rational numbers. I gave one particular limit (an infinite sum) that gives pi.
Yes, pi is an irrational number given by the infinite sum
4*(1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 +...)
That infinite sum is exactly pi.
There is no such thing as an infinite sum.

There is no infinite anything.

It is possible, however, to IMAGINE an infinite sum, or an infinite anything.

That's why it's irrational.

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