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Author
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Topic: Humour VIII
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dwise1
Member Posts: 6259 Joined: 05-02-2006 Member Rating: 5.3
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Message 1351 of 1456 (893766)
04-19-2022 4:25 PM
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Reply to: Message 1350 by kjsimons
04-19-2022 3:58 PM
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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, : ABEEdited 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 |
| Replies to this message: | | | Message 1352 by Percy, posted 04-19-2022 6:48 PM | | dwise1 has not replied |
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Percy
Member Posts: 23283 From: New Hampshire Joined: 12-23-2000 Member Rating: 5.5
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Message 1352 of 1456 (893776)
04-19-2022 6:48 PM
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Reply to: Message 1351 by dwise1
04-19-2022 4:25 PM
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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.
| This message is a reply to: | | | Message 1351 by dwise1, posted 04-19-2022 4:25 PM | | dwise1 has not replied |
| Replies to this message: | | | 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 | | | Message 1356 by AZPaul3, posted 04-20-2022 1:43 AM | | Percy has seen this message but not replied |
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AZPaul3
Member Posts: 8733 From: Phoenix Joined: 11-06-2006 Member Rating: 5.1
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Message 1353 of 1456 (893779)
04-19-2022 7:22 PM
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Reply to: Message 1352 by Percy
04-19-2022 6:48 PM
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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 |
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Minnemooseus
Member Posts: 3986 From: Duluth, Minnesota, U.S. (West end of Lake Superior) Joined: 11-11-2001 Member Rating: 5.8
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Message 1354 of 1456 (893782)
04-19-2022 10:23 PM
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PaulK
Member Posts: 18082 Joined: 01-10-2003 Member Rating: 5.0
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Message 1355 of 1456 (893784)
04-20-2022 12:14 AM
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Reply to: Message 1352 by Percy
04-19-2022 6:48 PM
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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: | | | Message 1352 by Percy, posted 04-19-2022 6:48 PM | | Percy has replied |
| Replies to this message: | | | Message 1357 by Percy, posted 04-20-2022 12:21 PM | | PaulK has not replied |
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AZPaul3
Member Posts: 8733 From: Phoenix Joined: 11-06-2006 Member Rating: 5.1
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Message 1356 of 1456 (893786)
04-20-2022 1:43 AM
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Reply to: Message 1352 by Percy
04-19-2022 6:48 PM
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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!
| 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 |
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Percy
Member Posts: 23283 From: New Hampshire Joined: 12-23-2000 Member Rating: 5.5
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Message 1357 of 1456 (893792)
04-20-2022 12:21 PM
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Reply to: Message 1355 by PaulK
04-20-2022 12:14 AM
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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
| This message is a reply to: | | | Message 1355 by PaulK, posted 04-20-2022 12:14 AM | | PaulK has not replied |
| Replies to this message: | | | Message 1358 by xongsmith, posted 04-20-2022 12:31 PM | | Percy has seen this message but not replied | | | Message 1359 by nwr, posted 04-20-2022 12:32 PM | | Percy has seen this message but not replied | | | Message 1367 by AZPaul3, posted 04-20-2022 3:35 PM | | Percy has replied |
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xongsmith
Member Posts: 2661 From: massachusetts US Joined: 01-01-2009 Member Rating: 5.3
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Message 1358 of 1456 (893793)
04-20-2022 12:31 PM
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Reply to: Message 1357 by Percy
04-20-2022 12:21 PM
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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
| This message is a reply to: | | | Message 1357 by Percy, posted 04-20-2022 12:21 PM | | Percy has seen this message but not replied |
| Replies to this message: | | | Message 1361 by kjsimons, posted 04-20-2022 1:01 PM | | xongsmith has not replied |
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nwr
Member Posts: 6492 From: Geneva, Illinois Joined: 08-08-2005
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Message 1359 of 1456 (893794)
04-20-2022 12:32 PM
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Reply to: Message 1357 by Percy
04-20-2022 12:21 PM
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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: | | | Message 1357 by Percy, posted 04-20-2022 12:21 PM | | Percy has seen this message but not replied |
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Tangle
Member Posts: 9666 From: UK Joined: 10-07-2011 Member Rating: 5.6
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Message 1360 of 1456 (893795)
04-20-2022 12:46 PM
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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: 836 From: Orlando,FL Joined: 06-17-2003
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Re: Math Joke
LOL, takes me way back to my Fortran days!
| This message is a reply to: | | | Message 1358 by xongsmith, posted 04-20-2022 12:31 PM | | xongsmith has not replied |
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PaulK
Member Posts: 18082 Joined: 01-10-2003 Member Rating: 5.0
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Message 1362 of 1456 (893797)
04-20-2022 1:06 PM
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Reply to: Message 1360 by Tangle
04-20-2022 12:46 PM
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quote:
You're all weird.
I have a math degree. Of course I’m weird!
| This message is a reply to: | | | Message 1360 by Tangle, posted 04-20-2022 12:46 PM | | Tangle has not replied |
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Tanypteryx
Member Posts: 4597 From: Oregon, USA Joined: 08-27-2006
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Message 1363 of 1456 (893798)
04-20-2022 1:23 PM
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Reply to: Message 1360 by Tangle
04-20-2022 12:46 PM
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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 PythonOne 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
| This message is a reply to: | | | Message 1360 by Tangle, posted 04-20-2022 12:46 PM | | Tangle has not replied |
| Replies to this message: | | | Message 1366 by ringo, posted 04-20-2022 3:12 PM | | Tanypteryx has not replied |
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xongsmith
Member Posts: 2661 From: massachusetts US Joined: 01-01-2009 Member Rating: 5.3
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Message 1364 of 1456 (893800)
04-20-2022 2:34 PM
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Reply to: Message 1359 by nwr
04-20-2022 12:32 PM
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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 |
| Replies to this message: | | | Message 1365 by nwr, posted 04-20-2022 2:56 PM | | xongsmith has not replied |
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nwr
Member Posts: 6492 From: Geneva, Illinois Joined: 08-08-2005
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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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