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DarkerLine ceci n'est pas une |
Super Elite (Last Title)
Joined: 04 Nov 2003 Posts: 8328
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Posted: 31 Mar 2007 08:01:46 pm Post subject: |
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Well, that's what I just did. I mean, obviously the proof is wrong, as are the other 2=1 proofs, but I never made any assumptions about the value of x, so what I proved works for all of them. |
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luby I want to go back to Philmont!!
Calc Guru
Joined: 23 Apr 2006 Posts: 1477
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Posted: 28 May 2007 09:10:19 pm Post subject: |
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this might be different then what this topic is about but:
[font="courier new;font-size:9pt;line-height:100%;color:darkblue"]398712+436512=447212 |
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Cano
Newbie
Joined: 07 Jan 2007 Posts: 5
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Posted: 28 May 2007 09:19:15 pm Post subject: |
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When i plug that into my ti-86 i get
3987^12+4365^12=4472.00000001^12 |
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Harrierfalcon The Raptor of Calcs
Super Elite (Last Title)
Joined: 25 Oct 2006 Posts: 2535
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Posted: 28 May 2007 09:19:56 pm Post subject: |
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I like my answer..
[font="courier new;font-size:9pt;line-height:100%;color:darkblue"]One drop of water + One drop of water = One big drop of water.
See?
[font="courier new;font-size:9pt;line-height:100%;color:darkblue"]If 1+1=1, then 2=1. |
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frenchcalc1 جان ألعريم
Active Member
Joined: 14 Mar 2007 Posts: 648
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Posted: 29 May 2007 09:13:56 am Post subject: |
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Harrierfalcon wrote: I like my answer..
[font="courier new;font-size:9pt;line-height:100%;color:darkblue"]One drop of water + One drop of water = One big drop of water.
See?
[font="courier new;font-size:9pt;line-height:100%;color:darkblue"]If 1+1=1, then 2=1.
[post="105890"]<{POST_SNAPBACK}>[/post]
How does [font="courier new;font-size:9pt;line-height:100%;color:darkblue"]If 1+1=1, then 2=1. correspond with [font="courier new;font-size:9pt;line-height:100%;color:darkblue"]One drop of water + One drop of water = One big drop of water.? Isn't the one big drop of water be two? So that your second equation becomes:
[font="courier new;font-size:9pt;line-height:100%;color:darkblue"]If 1+1=2, then 2=2 |
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Harrierfalcon The Raptor of Calcs
Super Elite (Last Title)
Joined: 25 Oct 2006 Posts: 2535
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Posted: 29 May 2007 10:10:54 am Post subject: |
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We're measuring the number of drops of water, not the volume of the drops of water. |
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Weregoose Authentic INTJ
Super Elite (Last Title)
Joined: 25 Nov 2004 Posts: 3976
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Posted: 29 May 2007 12:05:29 pm Post subject: |
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[font="courier new"]3987^12 + 4365^12 = 63976656349698612616236230953154487896987106
__________4472^12 = 63976656348486725806862358322168575784124416 |
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luby I want to go back to Philmont!!
Calc Guru
Joined: 23 Apr 2006 Posts: 1477
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Posted: 29 May 2007 03:57:53 pm Post subject: |
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But on the average calc (84+'s included) it rounds to match. Show that to your math teacher. |
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WikiGuru ADOS (Attention deficit... Oh! Shiny!)
Elite
Joined: 15 Sep 2005 Posts: 923
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Posted: 29 May 2007 04:03:20 pm Post subject: |
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Just because your calculator rounds doesn't mean it's correct |
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luby I want to go back to Philmont!!
Calc Guru
Joined: 23 Apr 2006 Posts: 1477
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Posted: 29 May 2007 04:04:29 pm Post subject: |
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I know. But you can't divide by 0 either. But that's what this topic is about, right? Making math appear to do weird things (even if it is wrong). |
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WikiGuru ADOS (Attention deficit... Oh! Shiny!)
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Joined: 15 Sep 2005 Posts: 923
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Posted: 29 May 2007 04:32:02 pm Post subject: |
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The thing is to make math appear like it's doing weird things, not rounding weird. That's like saying pi is exacty 3 |
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DarkerLine ceci n'est pas une |
Super Elite (Last Title)
Joined: 04 Nov 2003 Posts: 8328
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Posted: 29 May 2007 04:39:12 pm Post subject: |
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Yes, but the rounding in this case is invisible, which is the fun part.
In fact, a lot of people probably couldn't disprove that counterexample except through faith in Fermat (or Andrew Wiles). Unless they noticed that both the numbers on the left are divisible by 3, but the number on the right isn't. |
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Weregoose Authentic INTJ
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Joined: 25 Nov 2004 Posts: 3976
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Posted: 29 May 2007 05:12:22 pm Post subject: |
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84+SE: 3987^12 + 4365^12 - 4472^12 = 1.202E33
The 83 series' relational operators only measure the first ten digits. |
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justusdude
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Joined: 24 May 2006 Posts: 265
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Posted: 29 May 2007 07:47:40 pm Post subject: |
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From a link in a previous post by elfprince [post="79234"]<{POST_SNAPBACK}>[/post]
Quote: Theorem : 3=4
Proof:
Suppose:
a + b = c
This can also be written as:
4a - 3a + 4b - 3b = 4c - 3c
After reorganising:
4a + 4b - 4c = 3a + 3b - 3c
Take the constants out of the brackets:
4 * (a+b-c) = 3 * (a+b-c)
Remove the same term left and right:
4 = 3 |
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luby I want to go back to Philmont!!
Calc Guru
Joined: 23 Apr 2006 Posts: 1477
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Posted: 29 May 2007 08:25:56 pm Post subject: |
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Weregoose wrote: 84+SE: 3987^12 + 4365^12 - 4472^12 = 1.202E33
The 83 series' relational operators only measure the first ten digits.
[post="105985"]<{POST_SNAPBACK}>[/post]
I object! if you type .012345678912 into Y1 you get 12 digits of the number. It obviously stores more then ten (I believe I recall something about the OPs in an asm tutorial once) |
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calc84maniac
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Joined: 22 Jan 2007 Posts: 770
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Posted: 29 May 2007 08:31:58 pm Post subject: |
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14, actually. It only shows about 9 or 10 though (for accuracy purposes I believe). |
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DarkerLine ceci n'est pas une |
Super Elite (Last Title)
Joined: 04 Nov 2003 Posts: 8328
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Posted: 29 May 2007 08:40:25 pm Post subject: |
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It operates with 14, but it only uses 10 when comparing two numbers with =, out of fear of lack of floating-point precision that will cause two numbers that are supposed to be equal not to be. For example, when taking mods using fPart(), you could actually get a number like 4.9999999999999, but the calculator will take only 10 digits of that for display and for comparing, so this result will be displayed as 5 and test equal to 5.
Which is why in "actual" programming languages, they tell you not to use = for comparing two floats - C++ or Java won't do this kind of thing for you and 4.999999999999999 will not equal 5. |
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calc84maniac
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Joined: 22 Jan 2007 Posts: 770
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Posted: 29 May 2007 08:47:04 pm Post subject: |
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Hehe, [font="courier new;font-size:9pt;line-height:100%;color:darkblue"]int(log(16)/log(2 is 3! |
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DarkerLine ceci n'est pas une |
Super Elite (Last Title)
Joined: 04 Nov 2003 Posts: 8328
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Posted: 29 May 2007 08:51:10 pm Post subject: |
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Exactly. But [font="courier new;font-size:9pt;line-height:100%;color:darkblue"]log(16)/log(2)=4. |
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Delnar_Ersike Lazy H4xx0r
Active Member
Joined: 24 Dec 2006 Posts: 578
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Posted: 29 May 2007 10:26:11 pm Post subject: |
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justusdude wrote: From a link in a previous post by elfprince [post="79234"]<{POST_SNAPBACK}>[/post]
Quote: Theorem : 3=4
Proof:
Suppose:
a + b = c
This can also be written as:
4a - 3a + 4b - 3b = 4c - 3c
After reorganising:
4a + 4b - 4c = 3a + 3b - 3c
Take the constants out of the brackets:
4 * (a+b-c) = 3 * (a+b-c)
Remove the same term left and right:
4 = 3
[post="106016"]<{POST_SNAPBACK}>[/post]
If that were true, then a+b-c = 0, so the statement is false. |
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