It wasn't so much because of Descartes as it was Caradano's (and Tartaglia's)
Tartaglia's technique to find the root of cubic equations involved some terms that would sometimes be square roots of negative numbers. Which was a problem:)
But if you just decided to permit those 'imaginary objects' to stick around (after all, this is a power of three thing, it obviously crosses zero, so there must be a solution), then eventually the imaginary terms would eliminate each other giving you the real solution.
"Time is real" - Einstein might disagree. Time is the imaginary part in the complex equations of space-time.
depending on personal authority, however great , is not part of science.
your last sentence says a lot about what is wrong . theoretical assumptions should not be taken for unquestionable facts.
Really ?
.. well... hmmm.. sorry but, just woosh
It's not like it was a very original or super funny joke but it most certainly was an obvious one, you must have been got carried by the overall tone I suppose
I know what you mean, but
This wasn't just any "your everyday typo"
I mean, peek and poke... you know ?
I would also have a hard time being convinced by anyone unfamiliar with how to write peek to have much of a deep insight about computers... and quantum computing at that
I think you were replying to a sort of joking/not so joking reply
But I could be wrong and this could just be our regular grammar nazi:) you probably red-doted him for some reason before after all...
If your small turbine-dynamo in the air intake was even an epsilon-small option for charging your electrical vehicle, it would instantly become a viable solution to power the entire universe
The proof as laid out is correct for an arbitrary N. The induction step is to show that it is also true for N+1
Appart for the major woosh, as you didn't get the obvious joke "this holds for any N" -> "no !!! only for N-2" (and I'm not sure at this point that you will even get the hint)
You seem to have a major problem understanding the induction process which you claim to be your prefered and most intuitive way of understanding mathematical proofs. (but since you're a nice person you still admit that your GP's post is good enough for slashdot standards (thank you very much for him/her and the rest of us))
So "The proof as laid out is correct for an arbitrary N" as you said...
Why in the world would you need to show that it is also true for N+1 ? N+1 *is* an arbitrary N
Induction is about having specific working examples (not arbitrary !!!) and proving that from here the next candidates must also be valid.
Also, induction is not just about having N and proving N+1, or I could 'prove' you many funny things (sometimes you need more than just one element to get the next and depend on several ones (P(0) and P(1) are true, thus P(2) (depending on the previous two) is true):)
So there we were, following a nice, civilized, interesting conversation about "alot" vs "a lot", "dumbass" vs "dumb ass", "incorrectly" vs "wrongly", "your" vs "you're", black vs white, good vs evil,...
I made some popcorn (vs pop corn), I come back, and you completely ruin it by talking about the Xbox One (vs XBone)
Shame on you...
Yep, same here
I "noscript block" anything coming from google, block cookies, and only allow them when someone finally calls me to say "hey I sent you an email why don't you answer ?"
I temporarily then accept the cookies, check the mail, block and clean again
I unfortunately have many mails there, but more than that, it's the way I'm supposed to be reached for important notifications, or, say, recover a lost password (from slashdot among others)
So it will take some time, but, I'll be closing this account with great satisfaction soon enough
Slashdot Mirror
that woosh noise that sounded like a 737 max 8 knowing better than its pilots....
An almost perfect hack has been found already by clever french gendarmerie many years ago
I know I know, vid. or it didn't happen...
It wasn't so much because of Descartes as it was Caradano's (and Tartaglia's) :)
Tartaglia's technique to find the root of cubic equations involved some terms that would sometimes be square roots of negative numbers. Which was a problem
But if you just decided to permit those 'imaginary objects' to stick around (after all, this is a power of three thing, it obviously crosses zero, so there must be a solution), then eventually the imaginary terms would eliminate each other giving you the real solution.
Parce que biteCoins...
care to explain this one ? I don't get it at all and I feel I'm missing a good one :)
thanks BoxRec, thanks slashdot
how else would I get those news ?
Inspiring, wonderful, thank you again
"Time is real" - Einstein might disagree. Time is the imaginary part in the complex equations of space-time.
depending on personal authority, however great , is not part of science. your last sentence says a lot about what is wrong . theoretical assumptions should not be taken for unquestionable facts.
Really ?
.. well... hmmm.. sorry but, just woosh
It's not like it was a very original or super funny joke but it most certainly was an obvious one, you must have been got carried by the overall tone I suppose
is it because you' re sure you've been replaced with a simple shell script that you came to me ?
I know what you mean, but :) you probably red-doted him for some reason before after all...
This wasn't just any "your everyday typo"
I mean, peek and poke... you know ?
I would also have a hard time being convinced by anyone unfamiliar with how to write peek to have much of a deep insight about computers... and quantum computing at that
I think you were replying to a sort of joking/not so joking reply
But I could be wrong and this could just be our regular grammar nazi
If your small turbine-dynamo in the air intake was even an epsilon-small option for charging your electrical vehicle, it would instantly become a viable solution to power the entire universe
No, this is a french attack, we have to wave in your general direction...
:)
you're holding it wrong
try holding it higher
dogs are consumed as food pretty much everywhere
in china, they just don't have to pretend they serve something else
I just love how your sig and your "touring test" combine
The proof as laid out is correct for an arbitrary N. The induction step is to show that it is also true for N+1
Appart for the major woosh, as you didn't get the obvious joke "this holds for any N" -> "no !!! only for N-2" (and I'm not sure at this point that you will even get the hint) :)
You seem to have a major problem understanding the induction process which you claim to be your prefered and most intuitive way of understanding mathematical proofs. (but since you're a nice person you still admit that your GP's post is good enough for slashdot standards (thank you very much for him/her and the rest of us))
So "The proof as laid out is correct for an arbitrary N" as you said... Why in the world would you need to show that it is also true for N+1 ? N+1 *is* an arbitrary N
Induction is about having specific working examples (not arbitrary !!!) and proving that from here the next candidates must also be valid.
Also, induction is not just about having N and proving N+1, or I could 'prove' you many funny things (sometimes you need more than just one element to get the next and depend on several ones (P(0) and P(1) are true, thus P(2) (depending on the previous two) is true)
So there we were, following a nice, civilized, interesting conversation about "alot" vs "a lot", "dumbass" vs "dumb ass", "incorrectly" vs "wrongly", "your" vs "you're", black vs white, good vs evil, ...
I made some popcorn (vs pop corn), I come back, and you completely ruin it by talking about the Xbox One (vs XBone)
Shame on you...
:D excellent :D (too bad its ruined by it's ;))
This is exactly what I'm doing :)
Yep, same here
I "noscript block" anything coming from google, block cookies, and only allow them when someone finally calls me to say "hey I sent you an email why don't you answer ?"
I temporarily then accept the cookies, check the mail, block and clean again
I unfortunately have many mails there, but more than that, it's the way I'm supposed to be reached for important notifications, or, say, recover a lost password (from slashdot among others)
So it will take some time, but, I'll be closing this account with great satisfaction soon enough
Are you talking about electrically charged egyptians ?
Kids these days get on the net earlier and earlier... it's getting scary
<0)
. ( \
8=x=D
I see all this interest for this product and I think my next Idea will blow this one out of the water
5 seconds toothbrush !!!
No, but this is one:
<body>I'm not here<body/>
- experience -
Qnx floppy challenge