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-   -   Standard crank division by zero thread (https://www.mersenneforum.org/showthread.php?t=15278)

CRGreathouse 2011-04-15 14:46

Actually that's not a problem, sm; take the contrapositive. His first mistake is somewhat later.

schickel 2011-04-16 02:04

[QUOTE=Condor;258596]BTW - is it possible to edit posts? I don't see an icon for it. I didn't realize I had cut-and-pasted formating when I pulled that one in from the editor I prefer, and I agree it looks ugly. (Oh - is it that only the last post can be edited? This one did get an "edit" icon.)[/QUOTE]You have a time-limited window to edit a post (I believe it's an hour...)

Don Blazys 2011-04-17 13:34

Poor "Condor", "science man" and "CRNuthouse"!

They are so desperate, so frustrated, so obsessed and............. so stupid!

After all their compussive and incessant postings, they [B][I]still[/I][/B] dont realize that

[B][I]any[/I][/B] true equation, whether it be 2 + 3 = 5 or [U][COLOR="Navy"]httр://donblazys.com/03.рdf[/COLOR][/U]

is simply an actuality and that there is [B][COLOR=red]no lawyer-like argument to refute[/COLOR][/B].

Thus, the task of "refuting" this proof is utterly futile and truly Sisyphean !

(A fitting punishment for nincompoops!)

Don.

science_man_88 2011-04-17 15:00

[QUOTE=Don Blazys;258768]Poor "Condor", "science man" and "CRNuthouse"!

They are so desperate, so frustrated, so obsessed and............. so stupid!

After all their compussive and incessant postings, they [B][I]still[/I][/B] dont realize that

[B][I]any[/I][/B] true equation, whether it be 2 + 3 = 5 or [U][COLOR="Navy"]httр://donblazys.com/03.рdf[/COLOR][/U]

is simply an actuality and that there is [B][COLOR=red]no lawyer-like argument to refute[/COLOR][/B].

Thus, the task of "refuting" this proof is utterly futile and truly Sisyphean !

(A fitting punishment for nincompoops!)

Don.[/QUOTE]

I almost fell for it:

[QUOTE]
[SIZE=7][TEX]\frac{T}{T}C^z = T \(\frac{C}{T}\)^{\frac {ln( \frac{C^z}{T})}{ln(\frac{C}{T})}}=T \(\frac{C}{T}\)^{\frac {\frac{ln( \frac{C^z}{T})}{ln(T)}}{\frac{ln(\frac{C}{T})}{ln(T)}}} =T \(\frac{C}{T}\)^{\frac {\frac{ln( \frac{C^z}{T})}{ln(T)}-\frac{ln(T)}{ln(T)}}{\frac{ln(\frac{C}{T})}{ln(T)}-\frac{ln(T)}{ln(T)}}}=T \(\frac{C}{T}\)^{\frac {\frac{{z}*{ln(C)}}{ln(T)}-1}{\frac{ln(C)}{ln(T)}-1}}[/TEX][/SIZE]
[/QUOTE]the last one has a different value for the exponent last I checked with T=6, C=3,and z=4, if these are within your bounds( haven't double checked) then it's done.

tichy 2011-04-17 17:35

I'm sorry - I could not resist any longer once I ran out of my popcorn:
[url]http://www.youtube.com/watch?v=qLrnkK2YEcE[/url]

Can someone demonstrate any examples of widely used and commonly accepted proofs which would be rendered invalid when Don's reasonign is applied ?

Don Blazys 2011-04-17 19:07

Quoting science man:
[QUOTE]
The last one has a different value for the exponent last I checked with T=6, C=3,and z=4,
[/QUOTE]
You are wrong. (They all result in 81.)
Now you need to check how you checked! :smile:

Don.

akruppa 2011-04-17 20:34

Don Blazys,

refrain from posting personal insults.

science_man_88 2011-04-17 21:11

[QUOTE=Don Blazys;258802]Quoting science man:

You are wrong. (They all result in 81.)
Now you need to check how you checked! :smile:

Don.[/QUOTE]

actually doing the [TEX]\frac{\frac{ln(c^z/t)}{ln(t)}}{\frac{ln(c/t)}{ln(t)}}[/TEX]

as written in you thing is a different value than [TEX]\frac{ln(c^z/t)}{ln(c/t)}[/TEX] I did it out in pari:

[CODE](17:42)>c=3;z=4;t=6;print((log(c^z/t)/log(t))/(log(c/t)/log(t)))
-3.754887502163468544361216832
(17:42)>c=3;z=4;t=6;print(log(c^z/t)/ln(t)/log(c/t)/log(t))
*** obsolete function.

For full compatibility with GP 1.39.15, type "default(compatible,3)", or set "compatible = 3" in your GPRC file.

New syntax: ln(x) ===> log(x)

log(x): natural logarithm of x.


(17:46)>c=3;z=4;t=6;print(log(c^z/t)/log(t)/log(c/t)/log(t))
-1.169600413701046825003995111
(17:46)>c=3;z=4;t=6;print(log(c^z/t)/log(c/t))
-3.754887502163468544361216832[/CODE]

Condor 2011-04-18 12:30

[QUOTE=science_man_88;258772]I almost fell for it:



the last one has a different value for the exponent last I checked with T=6, C=3,and z=4, if these are within your bounds( haven't double checked) then it's done.[/QUOTE]
You should double check - the "identity" is indeed valid, as it is merely an expansion and re-arrangement of the terms. You need to add some parentheses to your code.


But the problem is the part inside the [] below:
[INDENT][TEX]\frac{T}{T}C^z = T \(\frac{C}{T}\)^{\frac {ln( \frac{C^z}{T})}{\[ln(\frac{C}{T})\]}}[/TEX][/INDENT]
Anything to the right of this in Don's derivation is no longer part of a "true equation" if T=C. Actually, the term becomes indeterminate; but Don will deny that.

It seems sad that a person who obviously has the capability to imagine combinations in new and interesting ways can so delude himself about what they mean. And about how he applies a double standard (and is using "lawyer-like" arguments) when he insists on letting C=T because of the "truth" inherent in his "identity," yet insists the same argument doesn't apply to numbers that would allow him to see that it is indeterminate.

science_man_88 2011-04-18 14:19

[QUOTE=Condor;258875]You should double check - the "identity" is indeed valid, as it is merely an expansion and re-arrangement of the terms. You need to add some parentheses to your code.


But the problem is the part inside the [] below:
[INDENT][TEX]\frac{T}{T}C^z = T \(\frac{C}{T}\)^{\frac {ln( \frac{C^z}{T})}{\[ln(\frac{C}{T})\]}}[/TEX][/INDENT]
Anything to the right of this in Don's derivation is no longer part of a "true equation" if T=C. Actually, the term becomes indeterminate; but Don will deny that.

It seems sad that a person who obviously has the capability to imagine combinations in new and interesting ways can so delude himself about what they mean. And about how he applies a double standard (and is using "lawyer-like" arguments) when he insists on letting C=T because of the "truth" inherent in his "identity," yet insists the same argument doesn't apply to numbers that would allow him to see that it is indeterminate.[/QUOTE]

what I was pointing out is without more parentheses that second exponent is clearly different that the first. an example to go on:

3/4/2/4 or (3/4)/(2/4) first one is 3/(4*2*4) = 3/32 the second is (3/[TEX]\strike {4}[/TEX])/(2/[TEX]\strike {4}[/TEX]) =3/2 = 1.5

Don Blazys 2011-04-19 09:54

Quoting Condor:
[QUOTE]
Anything to the right of this in Don's derivation is no longer part of a "true equation" if T = c.
[/QUOTE]

That's not true. [B][COLOR=red]It all depends on the value of[/COLOR][/B] z. Please follow this carefully.

If z=1,

then (T/T)*c^z = T*(c/T)^((z*ln(c)/(ln(T))-1)/(ln(c)/(ln(T))-1))

becomes (T/T)*c^1 = T*(c/T)^1

where clearly, we [B][U][COLOR=red]can[/COLOR][/U][/B] let T = c because doing so gives us the "true equation"

(c/c)*c^1 = c*(c/c)^1

Quoting Condor:
[QUOTE]Actually, the term becomes indeterminate; but Don will deny that.
[/QUOTE]
As I just demonstrated, indeterminate forms are [B][COLOR=red]not an issue[/COLOR][/B] in my proof.

They are "removable singularities" that are easily avoided and don't even exist if we
do the algebra [B]correctly[/B] and evaluate the exponents at z = 1 [B][I]before[/I][/B] we let T = c.

Don.


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