Liberal Forum

We're not trying to frighten you but bad things could happen...

usa about to explode!!!! duck and cover. the atom bombs are on the way.

Another wondrous day in Moscow!!   

https://youtu.be/2fwbuJW-Nw4
 

A glorious night in Shenzhen, China!!!   

https://youtu.be/8SPMrXAMhmE

Monderegal » 04 Oct 2023, 1:20 pm » wrote: ↑

04 Oct 2023, 1:20 pm

We're not trying to frighten you but bad things could happen...

Here's a test:  Explain why Pi is a non-repeating, irrational number? 
 

Skans » 04 Oct 2023, 1:47 pm » wrote: ↑

04 Oct 2023, 1:47 pm

Here's a test:  Explain why Pi is a non-repeating, irrational number?

Its a chick?
 

The worlds largest lake....Lake Baikal, Russia

https://youtu.be/_IuqegdKbh0
 

Skans » 04 Oct 2023, 1:47 pm » wrote: ↑

04 Oct 2023, 1:47 pm

Here's a test:  Explain why Pi is a non-repeating, irrational number?

Because you can actually calculate pi using a certain number of mathematical equations. I used to be able to do that at Purdue but I've lost my touch. Pi is not just determined from guessing the circumference of a circle. It's also what is called a constant. Like the Bohr radius.
 

Sumela » 04 Oct 2023, 1:43 pm » wrote: ↑

04 Oct 2023, 1:43 pm

Another wondrous day in Moscow!!   

https://youtu.be/2fwbuJW-Nw4

I watched a video about a river in Russian that has killer trout fishing...big ones!


It made my fly fishing friend drool.       
 

roadkill » 04 Oct 2023, 2:01 pm » wrote: ↑

04 Oct 2023, 2:01 pm

I watched a video about a river in Russian that has killer trout fishing...big ones!

It made my fly fishing friend drool.     

Probably The Kamchatka River in the far east....I love this video.  Dream trip.
These trout are MONSTERS.

https://youtu.be/8i65DawlD_Y


 

Sumela » 04 Oct 2023, 1:56 pm » wrote: ↑

04 Oct 2023, 1:56 pm

Its a chick?
 

Wrong.  Not a chick.

Monderegal » 04 Oct 2023, 1:20 pm » wrote: ↑

04 Oct 2023, 1:20 pm

We're not trying to frighten you but bad things could happen...

@Lincoln Nebraska  is this ^^^ pedofarian? 

Sumela » 04 Oct 2023, 2:06 pm » wrote: ↑

04 Oct 2023, 2:06 pm

Probably The Kamchatka River in the far east....I love this video.  Dream trip.
These trout are MONSTERS.

https://youtu.be/8i65DawlD_Y

Yer probably right.  I don't remember the name of the river but it was in eastern Russia. I think they called it the "roadkill river".     
 

Monderegal » 04 Oct 2023, 2:00 pm » wrote: ↑

04 Oct 2023, 2:00 pm

Because you can actually calculate pi using a certain number of mathematical equations. I used to be able to do that at Purdue but I've lost my touch. Pi is not just determined from guessing the circumference of a circle. It's also what is called a constant. Like the Bohr radius.

Wrong.  That does not explain why it is a non-repeating irrational number.  A perfectly round circle does not exist.  Nor, is the circumference of a perfectly round circle a quantifiable function of its linear radius. As a circle approaches perfect roundness, the number Pi continues to change; each iteration being a unique identifier of the circle's degree of roundness.
 

Sumela » 04 Oct 2023, 2:06 pm » wrote: ↑

04 Oct 2023, 2:06 pm

Probably The Kamchatka River in the far east....I love this video.  Dream trip.
These trout are MONSTERS.

https://youtu.be/8i65DawlD_Y

Awesome...thanx for posting.     

Sumela » 04 Oct 2023, 1:58 pm » wrote: ↑

04 Oct 2023, 1:58 pm

The worlds largest lake....Lake Baikal, Russia

https://youtu.be/_IuqegdKbh0

The world's cheapest (but, IMHO best value) O/U Shotguns:Sold Price: BAIKAL MODEL IZH

Skans » 04 Oct 2023, 2:46 pm » wrote: ↑

04 Oct 2023, 2:46 pm

Wrong.  That does not explain why it is a non-repeating irrational number.  A perfectly round circle does not exist.  Nor, is the circumference of a perfectly round circle a quantifiable function of its linear radius. As a circle approaches perfect roundness, the number Pi continues to change; each iteration being a unique identifier of the circle's degree of roundness.

Then why is is used in Newtonian and Quantum physics equations as a constant if the number varies? Do some internet research if you want. Pi is a constant and perfectly round circles can't be drawn but can be mathematically calculated. 790 on that portion of the SAT.

Skans » 04 Oct 2023, 2:46 pm » wrote: ↑

04 Oct 2023, 2:46 pm

Wrong.  That does not explain why it is a non-repeating irrational number.  A perfectly round circle does not exist.  Nor, is the circumference of a perfectly round circle a quantifiable function of its linear radius. As a circle approaches perfect roundness, the number Pi continues to change; each iteration being a unique identifier of the circle's degree of roundness.

Pi doesn't change. It's always the same irrational number. No matter how large or small the circumference and diameter, it will always be the same irrational number. 

Skans » 04 Oct 2023, 1:47 pm » wrote: ↑

04 Oct 2023, 1:47 pm

Here's a test:  Explain why Pi is a non-repeating, irrational number?

Because it is a prime number.
 

Vegas » 04 Oct 2023, 3:15 pm » wrote: ↑

04 Oct 2023, 3:15 pm

Pi doesn't change. It's always the same irrational number. No matter how large or small the circumference and diameter, it will always be the same irrational number.

Actually, Pi does change with the roundness of the circle.  If you construct a near circle with a thousand tiny lines linked together around a centerpoint, Pi (not true Pi, because its not a true circle) will be a rational number.  Lets take this to the extreme and perhaps you can follow me:

C = 2 π R
π  = C/2R

Where the Circumference of the near-circle is actually 10 equal-length lines around a centerpoint, a Decagon, Pi will be a rational number:


Assume each line of the Decagon is exactly 10 centimeters long.  The Circumference of this near-circle would be 100 centemeters.  The radius is 16.18034.   So, let's calculate π. 
π  = C/2R. 
π  = 100/2*16.18034
π  = 100/32.36068
π (near pi)  = 3.0901699222685   The digits to the right of the decimal will eventually repeat or stop.
As the circle approaches being perfectly round,π will approach the 3.1415....irrational number. With each iteration of smaller and smaller lines making up the near-circle, π needs to "shift" and morph to accommodate the new near-circle structure. 

This should be able to be expressed as a calculus limit.  But, its not that easy:

lim π→irrational number−C→more perfect roundness.

It's not easy because I don't know how to express something becoming "more round" to a point of perfect roundness. But, this guy, Yasuhiro Takashimizu, has some additional thoughts on this. https://progearthplanetsci.springeropen ... 015-0078-x