no, this isn't the same as "ITT: IMPERSONATE ANOTHER BOYAGER" baddood;
k lol
wat
Okay.
a+xy*4 dfg 8(-6/7)r*2 = y/nlol
Quote from: Boyager on May 07, 2008, 07:01:42 AM
a+xy*4 dfg 8(-6/7)r*2 = y/nlol
Since the proof for the standard version of Rolle's theorem and the generalization are very similar, we prove the generalization.
The idea of the proof is to argue that if f(a) = f(b), then f must attain either a maximum or a minimum somewhere between a and b, say at c, and the function must change from increasing to decreasing (or the other way round) at c. In particular, if the derivative exists, it must be zero at c.
By assumption, f is continuous on [a,b], and by the extreme value theorem attains both its maximum and its minimum in [a,b]. If these are both attained at the endpoints of [a,b], then f is constant on [a,b] and so the derivative of f is zero at every point in (a,b).
Suppose then that the maximum is obtained at an interior point c of (a,b) (the argument for the minimum is very similar, just consider −f ). We shall examine the above right- and left-hand limits separately.
In calculus, the mean value theorem states, roughly, that given a section of a smooth curve, there is a point on that section at which the derivative (slope) of the curve is equal (parallel) to the "average" derivative of the section.[1] It is used to prove theorems that make global conclusions about a function on an interval starting from local hypotheses about derivatives at points of the interval.
This theorem can be understood concretely by applying it to motion: if a car travels one hundred miles in one hour, so that its average speed during that time was 100 miles per hour, then at some time its instantaneous speed must have been exactly 100 miles per hour.
An early version of this theorem was first described by Parameshvara (1370â,“1460) from the Kerala school of astronomy and mathematics in his commentaries on Govindasv,,mi and Bhaskara II.[2] The mean value theorem in its modern form was later stated by Augustin Louis Cauchy (1789â,“1857). It is one of the most important results in differential calculus, as well as one of the most important theorems in mathematical analysis, and is essential in proving the fundamental theorem of calculus. The mean value theorem can be used to prove Taylor's theorem, of which it is a special case.
Hey guys. baddood;
befuddlement
Quote from: Boyager on May 07, 2008, 07:10:14 AM
Since the proof for the standard version of Rolle's theorem and the generalization are very similar, we prove the generalization.
The idea of the proof is to argue that if f(a) = f(b), then f must attain either a maximum or a minimum somewhere between a and b, say at c, and the function must change from increasing to decreasing (or the other way round) at c. In particular, if the derivative exists, it must be zero at c.
By assumption, f is continuous on [a,b], and by the extreme value theorem attains both its maximum and its minimum in [a,b]. If these are both attained at the endpoints of [a,b], then f is constant on [a,b] and so the derivative of f is zero at every point in (a,b).
Suppose then that the maximum is obtained at an interior point c of (a,b) (the argument for the minimum is very similar, just consider −f ). We shall examine the above right- and left-hand limits separately.
In calculus, the mean value theorem states, roughly, that given a section of a smooth curve, there is a point on that section at which the derivative (slope) of the curve is equal (parallel) to the "average" derivative of the section.[1] It is used to prove theorems that make global conclusions about a function on an interval starting from local hypotheses about derivatives at points of the interval.
This theorem can be understood concretely by applying it to motion: if a car travels one hundred miles in one hour, so that its average speed during that time was 100 miles per hour, then at some time its instantaneous speed must have been exactly 100 miles per hour.
An early version of this theorem was first described by Parameshvara (1370â,“1460) from the Kerala school of astronomy and mathematics in his commentaries on Govindasv,,mi and Bhaskara II.[2] The mean value theorem in its modern form was later stated by Augustin Louis Cauchy (1789â,“1857). It is one of the most important results in differential calculus, as well as one of the most important theorems in mathematical analysis, and is essential in proving the fundamental theorem of calculus. The mean value theorem can be used to prove Taylor's theorem, of which it is a special case.
Bluaki imitation?
i like to pretend that i can top. (http://boyah.net/forums/index.php?action=dlattach;attach=961;type=avatar)
Shit was SO cash. baddood;
wat
Quote from: Boyager on May 07, 2008, 01:10:48 PM
no you suck
well it was a way too serious answer to a question baddood;
Quote from: Boyager on May 07, 2008, 01:14:07 PM
well it was a way too serious answer to a question baddood;
it was also just a copy-paste from wikipedia
which suggests that both the original post and that reply were meant to imitate felt doodthing;
Quote from: Boyager on May 07, 2008, 01:14:07 PM
well it was a way too serious answer to a question baddood;
it was a copypaste of a math article from wikipedia
i was being felt you fag
Quote from: Boyager on May 07, 2008, 01:15:29 PM
it was also just a copy-paste from wikipedia
which suggests that both the original post and that reply were meant to imitate felt doodthing;
Yes
ew penis :(
Quote from: Boyager on May 07, 2008, 01:15:29 PM
it was also just a copy-paste from wikipedia
which suggests that both the original post and that reply were meant to imitate felt doodthing;
Because only Felt copies and pastes
Yes, I understood the original, and I figured an imitation of Felt wouldn't be responded to by an imitation of Felt
Quote from: Boyager on May 07, 2008, 01:27:19 PM
Because only Felt copies and pastes
no, but he's certainly the one most likely to use wikipedia to post worthless trivia concerning a topic being discussed
also he does copy and paste a lot i think i dunno baddood;
Quote from: Boyager on May 07, 2008, 01:55:46 PM
no, but he's certainly the one most likely to use wikipedia to post worthless trivia concerning a topic being discussed
also he does copy and paste a lot i think i dunno baddood;
he loves researching obscure theorems and acting like he knows what he is talking about
Shut the fuck up.
Quote from: Boyager on May 07, 2008, 12:56:41 PM
i like to pretend that i can top. (http://boyah.net/forums/index.php?action=dlattach;attach=961;type=avatar)
slut
touching my penis feels amazing but i don't like it
Quote from: Boyager on May 07, 2008, 05:35:30 PM
touching my penis feels amazing but i don't like it
Hi Bluaki.
Is this FMR?
i wish my tits were bigger :(
guys i'm so ugly look at this pic of my tits
Quote from: Boyager on May 07, 2008, 06:08:45 PM
guys i'm so ugly look at this pic of my tits
You're An Idiot. psyduck;
I don't have a style to imitate. spam;
Quote from: Boyager on May 07, 2008, 07:00:32 PM
I don't have a style to imitate. spam;
a good impression of me
penis pen is penis
Quote from: Boyager on May 07, 2008, 06:08:45 PM
guys i'm so ugly look at this pic of my tits
n00ds
Shit is SO chash.
Blah, blah, blah, military, blah, blah, blah. AMAZING
Quote from: Boyager on May 08, 2008, 06:02:08 AM
Blah, blah, blah, military, blah, blah, blah.
baddood;
Quote from: Boyager on May 08, 2008, 06:02:08 AM
Blah, blah, blah, military, blah, blah, blah. AMAZING
you used an emote so you're obviously not Socks baddood;
food food food shitburgers food food food
Quote from: Boyager on May 08, 2008, 12:32:47 PM
you used an emote so you're obviously not Socks
you didn't remove the emote so you're obviously not socks either baddood;
giggle;