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Author Topic:   Humour VIII
dwise1
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Posts: 5959
Joined: 05-02-2006
Member Rating: 6.1


(3)
Message 1351 of 1450 (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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 Message 1350 by kjsimons, posted 04-19-2022 3:58 PM kjsimons has not replied

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Percy
Member
Posts: 22555
From: New Hampshire
Joined: 12-23-2000
Member Rating: 5.7


(1)
Message 1352 of 1450 (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 1353 by AZPaul3, posted 04-19-2022 7:22 PM Percy has seen this message but not replied
 Message 1355 by PaulK, posted 04-20-2022 12:14 AM Percy has replied
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AZPaul3
Member
Posts: 8582
From: Phoenix
Joined: 11-06-2006
Member Rating: 5.0


Message 1353 of 1450 (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: 3946
From: Duluth, Minnesota, U.S. (West end of Lake Superior)
Joined: 11-11-2001
Member Rating: 10.0


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



  
PaulK
Member
Posts: 17831
Joined: 01-10-2003
Member Rating: 2.5


Message 1355 of 1450 (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.

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 Message 1352 by Percy, posted 04-19-2022 6:48 PM Percy has replied

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AZPaul3
Member
Posts: 8582
From: Phoenix
Joined: 11-06-2006
Member Rating: 5.0


Message 1356 of 1450 (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
Member
Posts: 22555
From: New Hampshire
Joined: 12-23-2000
Member Rating: 5.7


(1)
Message 1357 of 1450 (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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 Message 1358 by xongsmith, posted 04-20-2022 12:31 PM Percy has seen this message but not replied
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 Message 1367 by AZPaul3, posted 04-20-2022 3:35 PM Percy has replied

  
xongsmith
Member
Posts: 2594
From: massachusetts US
Joined: 01-01-2009
Member Rating: 6.8


(1)
Message 1358 of 1450 (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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 Message 1357 by Percy, posted 04-20-2022 12:21 PM Percy has seen this message but not replied

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nwr
Member
Posts: 6414
From: Geneva, Illinois
Joined: 08-08-2005


Message 1359 of 1450 (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

This message is a reply to:
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Replies to this message:
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Tangle
Member
Posts: 9524
From: UK
Joined: 10-07-2011
Member Rating: 5.3


(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
Member
Posts: 822
From: Orlando,FL
Joined: 06-17-2003


(1)
Message 1361 of 1450 (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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 Message 1358 by xongsmith, posted 04-20-2022 12:31 PM xongsmith has not replied

  
PaulK
Member
Posts: 17831
Joined: 01-10-2003
Member Rating: 2.5


(3)
Message 1362 of 1450 (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!

This message is a reply to:
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Tanypteryx
Member
Posts: 4474
From: Oregon, USA
Joined: 08-27-2006
Member Rating: 5.2


Message 1363 of 1450 (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
Member
Posts: 2594
From: massachusetts US
Joined: 01-01-2009
Member Rating: 6.8


Message 1364 of 1450 (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:
 Message 1359 by nwr, posted 04-20-2022 12:32 PM nwr has replied

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nwr
Member
Posts: 6414
From: Geneva, Illinois
Joined: 08-08-2005


(1)
Message 1365 of 1450 (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

This message is a reply to:
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