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Countdown to Pi Day!
piday ^

Posted on 03/14/2022 9:10:44 AM PDT by mylife

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To: Leaning Right
”Pi is of course based on two measurements, a circle’s C and D.”

Your statement is far too limited. There are ways to calculate Pi that do not involve measurement at all. Typically the calculation would involve the sum of an infinite series of fractions such that the fractions tend to become smaller very quickly.

61 posted on 03/14/2022 10:24:26 AM PDT by William Tell
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To: fhayek; Daffynition; mylife
The mathematicians tell me that pi is irrational (i.e. can't be expressed as a ratio), yet the very definition of pi is the ratio of a circle's circumference to its diameter.

LOL, you let the cat out of the bag. ;)

Speaking of 22/7 and 2חr,

What's KIC 9832227 been up to these days?

Because what if 983 = c, or r?

The "predicted merge" was given as 2022.2 (± 0.6 years).

How is that calculated, .2 of a year? 73 days? I don't know if that is some epoch kind of code, but of it's just 365 x .2...

Heh, that would be 73 days into the year 2022.

Which is today.

Strange things are afoot at the Circle K.

62 posted on 03/14/2022 10:28:00 AM PDT by Ezekiel ("Come fly with US". Ingenuity -- because the Son of David begins with Mars ♂️.)
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To: mylife

It has been suggested that the fact that pi cannot be resolved is evidence that we live in a flat universe.


63 posted on 03/14/2022 10:34:35 AM PDT by ComputerGuy (Heavily-medicated for your protection)
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To: happyathome

You meant “sine” and “cosine”.


64 posted on 03/14/2022 10:38:04 AM PDT by beethovenfan (Mene, Mene, Tekel, Upharsin)
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To: TexasGator

> Your assumption is incorrect. <

Please explain. As I noted earlier, I might have missed something here.

Side note: I was trained as a chemist. And I got the nickname “the experimenter”. That was not meant as a compliment. It referred to the fact that I always wanted to see experimental evidence - the actual measurements. I was wary of purely theoretical stuff.

I guess that’s one reason why I doubt Global Warming so much. Most of the “experimental evidence” is pure garbage.


65 posted on 03/14/2022 10:39:42 AM PDT by Leaning Right (The steal is real.)
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To: ComputerGuy

Its very confusing.

why are pizzas round? the boxes are square, the slices are triangles..

wtf?


66 posted on 03/14/2022 10:43:31 AM PDT by mylife (It looks just like a telefunken U47... (===)
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To: William Tell

> the calculation would involve the sum of an infinite series of fractions <

Thanks for the post. I was not aware of that. So I just did a little searching and found the Gregory-Leibniz series. That series of fractions converge to pi as more and more fractions are added.

But why those fractions? How do they relate to an actual circle? I’m going to have to do a bit more reading on the subject.


67 posted on 03/14/2022 10:45:50 AM PDT by Leaning Right (The steal is real.)
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To: Leaning Right

In at 3/14 1:59


68 posted on 03/14/2022 10:59:43 AM PDT by fhayek
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To: mylife

As my fishing buddy says, ‘It boogles the mind.’


69 posted on 03/14/2022 11:02:44 AM PDT by ComputerGuy (Heavily-medicated for your protection)
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To: fhayek

Obviously, by definition men cannot be born with pi.


70 posted on 03/14/2022 11:03:07 AM PDT by gnarledmaw (Hive minded liberals worship leaders, sovereign conservatives elect servants.)
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To: mylife

Ruhbarb,
That is Just Wrong and
I don’t care about
The Spelling.
.
See me after Class.


71 posted on 03/14/2022 11:16:29 AM PDT by Big Red Badger (On the Other hand, )
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To: mylife
Yes I have a number

How I wish I could calculate Pi

May I have a large container of coffee

May I have a large container of coffee Thank you

May I have a large container of coffee cream and sugar

How I want a drink, alcoholic of course, after the heavy lectures involving quantum mechanics

Sir, I know a rhyme excelling in mystic force and magic spelling. Celestial spirits elucidate, all my own striving can’t relate


NASA, BTW, only used π to two digits (3.14) to put men on the moon.

72 posted on 03/14/2022 11:18:24 AM PDT by Paal Gulli
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To: fhayek

I see that,
Nice try.


73 posted on 03/14/2022 11:20:01 AM PDT by Big Red Badger (On the Other hand, )
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To: mylife
.. pi’s infinite nature makes it a fun challenge to memorize, and to computationally calculate more and more digits.

'Fun' .. lol
3.14 is good enough for me.

74 posted on 03/14/2022 11:36:45 AM PDT by tomkat ( SOTU = FUBAR )
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To: beethovenfan

Haha yes I did - he was the engineer :-)


75 posted on 03/14/2022 1:50:22 PM PDT by happyathome
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To: Leaning Right
"But why those fractions? How do they relate to an actual circle? I’m going to have to do a bit more reading on the subject."

The third diagram in the Wikipedia article on "Taylor Series" shows a blue function and a pink function. The blue function is "y = sin(x)".

The pink function is a polynomial consisting of seven terms.

The Taylor Series of the blue function evaluated at zero yields the polynomial. Adding more terms to the polynomial allows a closer approximation to the blue function at the point at which the Taylor expansion is performed. An infinite number of terms would give the blue function value at zero exactly.

In order to generate an infinite series that approximates pi, one needs a blue function whose value at some point is pi. One then generates the polynomial which is the Taylor Series expansion at that point. Evaluating the resulting polynomial at that point would then approximate pi. Using an infinite number of terms would theoretically generate pi exactly.

76 posted on 03/14/2022 7:37:29 PM PDT by William Tell
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To: mylife

French silk, please.


77 posted on 03/14/2022 8:07:54 PM PDT by Trillian
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To: Leaning Right

“So if a circle’s C and D are known to, say, eight digits each, pi can only be known to eight digits.”

Pi is not a measured value but a computed value approximated by an enclosed polygon. An exact value obtained by using an infinite number of sides on the polygon.

Many years of research has been spent using different mathematical derivations to increase speed and/or accuracy of the computation.


78 posted on 03/15/2022 11:16:57 AM PDT by TexasGator (UF)
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To: mylife

“why are pizzas round? the boxes are square, the slices are triangles.”

To make slices triangular, the pizza would have to be a polygon.


79 posted on 03/15/2022 11:20:38 AM PDT by TexasGator (UF)
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To: mylife

We had 2 Pis for dinner last night. A spinach one and a mushroom one. Leftovers for breakfast this morning. Guess they are not called Pi a day late.


80 posted on 03/15/2022 11:24:47 AM PDT by Exit148 (I’m)
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