Thursday, 16 August 2007

They don't make nostalgia like they used to

Was digging through an old server looking for something, and ran into a weird array of stuff

But the weirdest thing, that I don't remember a word of, but must have written because google's never heard of it:

I am the very model of a mildly tricky integral
So easy to approximate on any given interval
But general solutions need a stroke of ingenuity
To find a strategem which rectifies discontinuity.
You'll try the things you learned in class but never gain much traction
With your clever substitutions and techniques of partial fractions
In short, your simple methods fail against one so formidable,
I am the very model of a fairly tricky integral.

Combining basic processes in any way conceivable
Still fails to make the answer appear any more achievable
Rewriting points in polar form pre-partial integration
Does not subtract, but adds, to the solution's complication.
There seems to be no way to find a formula constructively
And thus no proposition one can try to prove deductively
The Riemann sum's don't simplify when working from first principles
I am the very model of a rather tricky integral.

I stood almost unchallenged for the best part of a century
And people wondered if my answer's even elementary
Professors thought they'd solved me and they harboured animosity
When refutations flooded in with frightening ferocity.
And then one day a student who, for rhyme's sake, will be Asian
Was trying hard to visualise the shape of my equation
The integrand examined, the identity, though difficult,
Did give the model answer for the very tricky integral.

(So while it seems that "reader's exercises" should be trivial,
Sometimes it's just a reason not to solve some tricky integral)

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