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# Humour VIII

Author Topic:   Humour VIII
dwise1
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Joined: 05-02-2006
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 (3)
 Message 1351 of 1450 (893766) 04-19-2022 4:25 PM Reply to: Message 1350 by kjsimons04-19-2022 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

 This message is a reply to: Message 1350 by kjsimons, posted 04-19-2022 3:58 PM kjsimons has not replied

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Percy
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From: New Hampshire
Joined: 12-23-2000
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 (1)
 Message 1352 of 1450 (893776) 04-19-2022 6:48 PM Reply to: Message 1351 by dwise104-19-2022 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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AZPaul3
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From: Phoenix
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 Message 1353 of 1450 (893779) 04-19-2022 7:22 PM Reply to: Message 1352 by Percy04-19-2022 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.

 This message is a reply to: Message 1352 by Percy, posted 04-19-2022 6:48 PM Percy has seen this message but not replied

Minnemooseus
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 (1)
 Message 1354 of 1450 (893782) 04-19-2022 10:23 PM

PaulK
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 Message 1355 of 1450 (893784) 04-20-2022 12:14 AM Reply to: Message 1352 by Percy04-19-2022 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.

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AZPaul3
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From: Phoenix
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 Message 1356 of 1450 (893786) 04-20-2022 1:43 AM Reply to: Message 1352 by Percy04-19-2022 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.

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Percy
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From: New Hampshire
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 (1)
 Message 1357 of 1450 (893792) 04-20-2022 12:21 PM Reply to: Message 1355 by PaulK04-20-2022 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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From: massachusetts US
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 (1)
 Message 1358 of 1450 (893793) 04-20-2022 12:31 PM Reply to: Message 1357 by Percy04-20-2022 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."
Enjoy every sandwich!

- xongsmith, 5.7dawkins scale

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nwr
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 Message 1359 of 1450 (893794) 04-20-2022 12:32 PM Reply to: Message 1357 by Percy04-20-2022 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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Tangle
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From: UK
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 (3)
 Message 1360 of 1450 (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: 825
From: Orlando,FL
Joined: 06-17-2003

 (1)
 Message 1361 of 1450 (893796) 04-20-2022 1:01 PM Reply to: Message 1358 by xongsmith04-20-2022 12:31 PM

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

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PaulK
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 (3)
 Message 1362 of 1450 (893797) 04-20-2022 1:06 PM Reply to: Message 1360 by Tangle04-20-2022 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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From: Oregon, USA
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 Message 1363 of 1450 (893798) 04-20-2022 1:23 PM Reply to: Message 1360 by Tangle04-20-2022 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?

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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From: massachusetts US
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 Message 1364 of 1450 (893800) 04-20-2022 2:34 PM Reply to: Message 1359 by nwr04-20-2022 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."
Enjoy every sandwich!

- xongsmith, 5.7dawkins scale

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nwr
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Posts: 6421
From: Geneva, Illinois
Joined: 08-08-2005
Member Rating: 3.5

 (1)
 Message 1365 of 1450 (893802) 04-20-2022 2:56 PM Reply to: Message 1364 by xongsmith04-20-2022 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

 This message is a reply to: Message 1364 by xongsmith, posted 04-20-2022 2:34 PM xongsmith has not replied

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