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Author Topic:   Humour VIII
dwise1
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Posts: 5073
Joined: 05-02-2006
Member Rating: 2.7


(3)
Message 1351 of 1389 (893766)
04-19-2022 4:25 PM
Reply to: Message 1350 by kjsimons
04-19-2022 3:58 PM


Re: Math Joke
  • a and b are integers.

  • a / b is a ratio, therefore its value is a rational number.

  • π is not a rational number, but rather is irrational (ie, cannot be expressed as the ratio of two integers).

  • Therefore π ≠ a/b

Like I said, I had to blink a couple times before I got it.

 
ABE:

 
Latest joke I tell everybody now:

The newest arrival to Heaven asks God the question that had vexed him his entire life: "What's the meaning of the universe?"
God: "Well if I have to explain it, then that ruins the joke."

Edited by dwise1, : ABE

Edited by dwise1, : making pi (π) larger and hence more apparent


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Percy
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Posts: 20759
From: New Hampshire
Joined: 12-23-2000
Member Rating: 2.2


(1)
Message 1352 of 1389 (893776)
04-19-2022 6:48 PM
Reply to: Message 1351 by dwise1
04-19-2022 4:25 PM


Re: Math Joke
I didn't get it either, but I thought it was n ≠ a/b, not π ≠ a/b. Hard to tell the difference in this font: nπnπnπnπnπ

Found a good pi character online, but it didn't survive the trip through the database, so I'll switch to the Courier New font. Here's the expression again: π ≠ a/b

But a and b don't have to be integers for a/b to be rational. While being expressible as the ratio of two integers is the definition of a rational number (where the denominator is not zero), the opposite is not true. In other words, it isn't true that all ratios involving non-integers are irrational. For example, when a=1.1 and b=2.2 then neither is an integer, but a/b is still a rational number. I think the only constraints on a and b for that inequality to be true are that they both be rational and b be non-zero. And of course there are an infinity of irrational values of a and b for which the inequality remains true.

And there are many values of a and b that will render the inequality wrong, for example, when a=π and b=1.

Since I don't get the joke, I feel I am missing the point.

--Percy

Edited by Percy, : Couldn't use the pi character I found online.


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 Message 1355 by PaulK, posted 04-20-2022 12:14 AM Percy has replied
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AZPaul3
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Posts: 6642
From: Phoenix
Joined: 11-06-2006
Member Rating: 3.2


Message 1353 of 1389 (893779)
04-19-2022 7:22 PM
Reply to: Message 1352 by Percy
04-19-2022 6:48 PM


Pi
I can't get a pi symbol to take either. Displays just fine in message edit preview but it won't transfer to post on submit.

Edited by AZPaul3, : No reason given.


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Minnemooseus
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Posts: 3879
From: Duluth, Minnesota, U.S. (West end of Lake Superior)
Joined: 11-11-2001
Member Rating: 2.7


(1)
Message 1354 of 1389 (893782)
04-19-2022 10:23 PM



  
PaulK
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Posts: 17167
Joined: 01-10-2003
Member Rating: 3.7


Message 1355 of 1389 (893784)
04-20-2022 12:14 AM
Reply to: Message 1352 by Percy
04-19-2022 6:48 PM


Re: Math Joke
I think you’re inverting the logic Percy. There is nothing about the ratio of two non-integers there at all. What it is saying is that n is not expressible as the ratio of two integers - which would make it irrational.

This message is a reply to:
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AZPaul3
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Posts: 6642
From: Phoenix
Joined: 11-06-2006
Member Rating: 3.2


Message 1356 of 1389 (893786)
04-20-2022 1:43 AM
Reply to: Message 1352 by Percy
04-19-2022 6:48 PM


Re: Math Joke
Since I don't get the joke, I feel I am missing the point.

The joke is that the math students in the n ≠ a/b t-shirts were saying they were irrational. Growing up a math nerd makes it funny if you know math nerds.


Stop Tzar Vladimir the Condemned!

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Percy
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Posts: 20759
From: New Hampshire
Joined: 12-23-2000
Member Rating: 2.2


(1)
Message 1357 of 1389 (893792)
04-20-2022 12:21 PM
Reply to: Message 1355 by PaulK
04-20-2022 12:14 AM


Re: Math Joke
PaulK writes:

I think you’re inverting the logic Percy. There is nothing about the ratio of two non-integers there at all.

There is nothing about the ratio of two integers there, either.

What it is saying is that n is not expressible as the ratio of two integers - which would make it irrational.

Nowhere in π ≠ a/b are a and b constrained to be integers. There are non-integer values of a and b for which the inequality is also true.

Maybe it's like this. People who get a/b as a reference to irrational numbers because it was part of the particular definition of rational numbers they were exposed to (e.g., a/b is a common way of defining rational numbers on the Internet) think it's cute and leave it at that. People who don't get the a/b reference because they were exposed to a different definition (e.g., p/q or "ratio of two integers") and have to have it explained to them will immediately note that theres nothing in π ≠ a/b that defines a and b as integers. The values of a and b that satisfy the inequality π ≠ a/b include more than just integers.

--Percy


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xongsmith
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Posts: 2207
From: massachusetts US
Joined: 01-01-2009
Member Rating: 2.8


(1)
Message 1358 of 1389 (893793)
04-20-2022 12:31 PM
Reply to: Message 1357 by Percy
04-20-2022 12:21 PM


Re: Math Joke
Percy writes:
theres nothing in π ≠ a/b that defines a and b as integers

correct. pi and 1.0 for example.

perhaps the T-shirt would be more accurate if it was

π ≠ j/k

where now the computerese assumption about j and k being integers would enter into the thinking. p and q are assumed to not be integers as also are a and b.


"I'm the Grim Reaper now, Mitch. Step aside."
Death to #TzarVladimirtheCondemned!
Enjoy every sandwich!

- xongsmith, 5.7dawkins scale


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nwr
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Posts: 5972
From: Geneva, Illinois
Joined: 08-08-2005
Member Rating: 3.3


Message 1359 of 1389 (893794)
04-20-2022 12:32 PM
Reply to: Message 1357 by Percy
04-20-2022 12:21 PM


Re: Math Joke
Nowhere in π ≠ a/b are a and b constrained to be integers.

I agree with this.

I immediately got the point, but I thought it a very weak joke.

It would have been better if it said "π ≠ j/k" or "π ≠ p/q" because those letters are more traditionally used for integers.


Fundamentalism - the anti-American, anti-Christian branch of American Christianity

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Replies to this message:
 Message 1364 by xongsmith, posted 04-20-2022 2:34 PM nwr has replied

  
Tangle
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Posts: 8492
From: UK
Joined: 10-07-2011
Member Rating: 2.5


(3)
Message 1360 of 1389 (893795)
04-20-2022 12:46 PM


You're all weird.

Je suis Charlie. Je suis Ahmed. Je suis Juif. Je suis Parisien. I am Mancunian. I am Brum. I am London. Olen Suomi Soy Barcelona. I am Ukraine.

"Science adjusts it's views based on what's observed.
Faith is the denial of observation so that Belief can be preserved."
- Tim Minchin, in his beat poem, Storm.


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kjsimons
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Posts: 759
From: Orlando,FL
Joined: 06-17-2003
Member Rating: 2.3


(1)
Message 1361 of 1389 (893796)
04-20-2022 1:01 PM
Reply to: Message 1358 by xongsmith
04-20-2022 12:31 PM


Re: Math Joke
LOL, takes me way back to my Fortran days!

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PaulK
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Posts: 17167
Joined: 01-10-2003
Member Rating: 3.7


(3)
Message 1362 of 1389 (893797)
04-20-2022 1:06 PM
Reply to: Message 1360 by Tangle
04-20-2022 12:46 PM


quote:
You're all weird.

I have a math degree. Of course I’m weird!


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Tanypteryx
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Posts: 3296
From: Oregon, USA
Joined: 08-27-2006
Member Rating: 3.2


Message 1363 of 1389 (893798)
04-20-2022 1:23 PM
Reply to: Message 1360 by Tangle
04-20-2022 12:46 PM


You're all weird.

And I bet they are all think t-shirts with strings of binary numbers are great jokes too!

It still looks like a lower case N to me, or is that what makes the joke clever?


Stop Tzar Vladimir the Condemned!

What if Eleanor Roosevelt had wings? -- Monty Python

One important characteristic of a theory is that is has survived repeated attempts to falsify it. Contrary to your understanding, all available evidence confirms it. --Subbie

If evolution is shown to be false, it will be at the hands of things that are true, not made up. --percy

The reason that we have the scientific method is because common sense isn't reliable. -- Taq


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xongsmith
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Posts: 2207
From: massachusetts US
Joined: 01-01-2009
Member Rating: 2.8


Message 1364 of 1389 (893800)
04-20-2022 2:34 PM
Reply to: Message 1359 by nwr
04-20-2022 12:32 PM


Re: Math Joke
nwr writes:
It would have been better if it said "π ≠ j/k" or "π ≠ p/q" because those letters are more traditionally used for integers.

not p and q...those are traditionally used in probability and thus constrained to the interval (0,1) or [0,1] if the limiting ends are to be included.


"I'm the Grim Reaper now, Mitch. Step aside."
Death to #TzarVladimirtheCondemned!
Enjoy every sandwich!

- xongsmith, 5.7dawkins scale


This message is a reply to:
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nwr
Member
Posts: 5972
From: Geneva, Illinois
Joined: 08-08-2005
Member Rating: 3.3


(1)
Message 1365 of 1389 (893802)
04-20-2022 2:56 PM
Reply to: Message 1364 by xongsmith
04-20-2022 2:34 PM


Re: Math Joke
not p and q...those are traditionally used in probability

They are also used by number theorists, as integers.

Fundamentalism - the anti-American, anti-Christian branch of American Christianity

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