I Will Derive [Mä tulen johtamaan]

Derivointi opettaa elämää[n]

1
Ennenkuin julkaisen jo valmiin ja julman rasismi-päreeni Takkiraudasta haluan hieman keventää tunnelmaa ja heittäytyä jopa sensitiiviseksi.

Tämä päre on kommentti Ironmistressin päreessään Talouden ja prosessimetallurgian analogiat hänen lähinnä Tomin kanssa käymäänsä kommentti'keskusteluun' [siis mikä ihmeen keskustelu?].

Pääsemme samalla tutustumaan matematiikan ihmeelliseen mutta ah niin selkeään ja johdonmukaiseen maailmaan myös kahden mainion musiikkiesityksen siivittäminä.

Korottamisiin!

2
'Pätkä I-palkkia:

r = dA/dt => dA/A = kdt
integroidaan = > ln(A_0/A) = kt
nostetaan potenssiin => A_O/A = e^kt
kerrotaan A:lla => A_0 = Ae^kt
jaetaan e^kt:lla => A_O/e^kt = A

=> A = A_0e^-kt

M.O.T.
*
http://hikipedia.info/wiki/Matemaatikko

3
???????

Onks täällä jonkun gnostilaisen salaseuran kokous vai?

Hmm.

No totta kai mäkin haluaisin korottaa mun I-palkki-pätkän potenssia. Ja vaihtaa sen jälkeen vähän etumerkkejä Takkiraudan kanssa.

Pääseeks tähän kerhoon vapaaehtoisesti? Vai pitääkö tulla väkisin?

[Tiedoksi RM:lle: Iltalääkkeet otin juuri äsken - no hätä siis]

4
Mä ihan oikeesti haluun päästä teidän kerhoon. Suosituksina mulla on seuraavanlaisia näyttöjä.

http://www.youtube.com/watch?v=UTby_e4-Rhg
Finite Simple Group (of Order Two) - [loistava esitys - henk. koht. Takkiraudalle]

The Klein Four Group is a very talented a cappella group "of the world of higher mathematics" of the Northwestern University mathematics department, composed of Clark Alexander, Scott Bailey, Mike Johnson, Kal Nanes, and Matt Salomone. Their viral single, a mathematical love song called Finite Simple Group (of Order Two), is funny and clever in an endearingly nerdy way.

The lyrics for Finite Simple Group (of Order Two):

The path of love is never smooth
But mine’s continuous for you
You’re the upper bound in the chains of my heart
You’re my Axiom of Choice, you know it’s true

But lately our relation’s not so well-defined
And I just can’t function without you
I’ll prove my proposition and I’m sure you’ll find
We’re a finite simple group of order two

I’m losing my identity
I’m getting tensor every day
And without loss of generality
I will assume that you feel the same way

Since every time I see you, you just quotient out
The faithful image that I map into
But when we’re one-to-one you’ll see what I’m about
‘Cause we’re a finite simple group of order two

Our equivalence was stable,
A principal love bundle sitting deep inside
But then you drove a wedge between our two-forms
Now everything is so complexified

When we first met, we simply connected
My heart was open but too dense
Our system was already directed
To have a finite limit, in some sense

I’m living in the kernel of a rank-one map
From my domain, its image looks so blue,
‘Cause all I see are zeroes, it’s a cruel trap
But we’re a finite simple group of order two

I’m not the smoothest operator in my class,
But we’re a mirror pair, me and you,
So let’s apply forgetful functors to the past
And be a finite simple group, a finite simple group,
Let’s be a finite simple group of order two
(Oughter: "Why not three?")

I’ve proved my proposition now, as you can see,
So let’s both be associative and free
And by corollary, this shows you and I to be
Purely inseparable. Q. E. D.

5
http://www.youtube.com/watch?v=P9dpTTpjymE&feature=related
I Will Derive!

Lyrics:
At first I was afraid, what could the answer be?
It said given this position find velocity.
So I tried to work it out, but I knew that I was wrong.
I struggled; I cried, "A problem shouldn't take this long!"
I tried to think, control my nerve.
It's evident that speed's tangential to that time-position curve.
This problem would be mine if I just knew that tangent line.
But what to do? Show me a sign!

So I thought back to Calculus.
Way back to Newton and to Leibniz,
And to problems just like this.
And just like that when I had given up all hope,
I said nope, there's just one way to find that slope.
And so now I, I will derive.
Find the derivative of x position with respect to time.
It's as easy as can be, just have to take dx/dt.
I will derive, I will derive. Hey, hey!

And then I went ahead to the second part.
But as I looked at it I wasn't sure quite how to start.
It was asking for the time at which velocity
Was at a maximum, and I was thinking "Woe is me."
But then I thought, this much I know.
I've gotta find acceleration, set it equal to zero.
Now if I only knew what the function was for a.
I guess I'm gonna have to solve for it someway.

So I thought back to Calculus.
Way back to Newton and to Leibniz,
And to problems just like this.
And just like that when I had given up all hope,
I said nope, there's just one way to find that slope.
And so now I, I will derive.
Find the derivative of velocity with respect to time.
It's as easy as can be, just have to take dv/dt.
I will derive, I will derive.

So I thought back to Calculus.
Way back to Newton and to Leibniz,
And to problems just like this.
And just like that when I had given up all hope,
I said nope, there's just one way to find that slope.
And so now I, I will derive.
Find the derivative of x position with respect to time.
It's as easy as can be, just have to take dx/dt.
I will derive, I will derive, I will derive!
*
http://takkirauta.blogspot.com/2010/11/talouden-ja-prosessimetallurgian.html
http://fi.wikipedia.org/wiki/Derivaatta
http://ivitamins.wordpress.com/