Without Riemann
from icanhasmatheatre! The Archive. by icanhasmath
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lyrics
"G. F. B. Riemann: No gimmicks."
To find the whole area under the curve,
under the curve, under the curve...
To find the whole area under the curve,
under the curve, under the curve...
Interval:
A to B.
f of x.
Stay with me:
f of x,
f of x,
f of x,
f of x,
f of x,
f of x,
f of x....
I’ve a curve at all angles, I’m using rectangles,
to find area so…I use slices, 1 to n.
Well if you want slices this is what I’ll tell ya,
each little width is B minus A over n-ah.
‘Cause width is changing-on-the x its delta –
x, And height: f of x sub i from the middle,
or the right or left cause you’re evaluating,
from the i of the slice that you are calculating.
A! The Area’s from mul-ti-plication,
of the width an the height gimme some adulation.
I know that you got Sigma Notation,
when your slices add in a big summation!
So the BCE, won’t disagree,
and let me decree Archimedes.
He had the same idea in ancient Greece.
But it feels exhausting without Rie-
mann, Hanover kid summing the bits,
and more cunning and witz, than Brechtian skitz.
And get on it, it’s all working out, you don’t shun it,
I just set up my summation, time to sum it!
And this looks like a job for Rie-
mann, add it up from A to B and
the more slices that you see
can increase your accuracy.
And this looks like a job for Rie-
mann, add it up from A to B and
the more slices that you see
can increase your accuracy.
Little slices, make area nicest.
The smallest of sizes will be the precisest.
Infinitesima-al bits will entice us,
'till someone comes along with a vision and yells, SWITCH!
A visionary, vision of area,
to start the transformation,
Summation is changing with limits,
‘n’ is getting greater so vast that,
it’s a fact that I know that those little slices outlast,
Attempts to count them!
What a catastrophe!
Cause there can’t be enough
Time to count to infinity!
But step back.
n n n n n n n n n n.
There’s no width to measure,
truly thin, so change the letter,
d for Delta. A differential trend setter.
The new Sigma notation, slimmer is better!
And it’s the best thing,
the S thing’s suggesting.
Divesting x of the sub i, I’m stressing:
An-ti – der-i-va –tive.
When I mention integral of f x d
x. Who made sense, intense from A to B?
Ah Newton? Not him. No not Cauchy.
No! this looks like a job for Rie-
mann, add it up from A to B and
the more slices that you see
can increase your accuracy.
And this looks like a job for Rie-
mann, add it up from A to B and
the more slices that you see
can increase your accuracy.
And this looks like a job for Rie-
mann’s INTEGRAL from A to B and
sliced to infinity,
for your per-fect accuracy.
To find the whole area under the curve,
under the curve, under the curve...
To find the whole area under the curve,
under the curve, under the curve...
Interval:
A to B.
f of x.
Stay with me:
f of x,
f of x,
f of x,
f of x,
f of x,
f of x,
f of x....
I’ve a curve at all angles, I’m using rectangles,
to find area so…I use slices, 1 to n.
Well if you want slices this is what I’ll tell ya,
each little width is B minus A over n-ah.
‘Cause width is changing-on-the x its delta –
x, And height: f of x sub i from the middle,
or the right or left cause you’re evaluating,
from the i of the slice that you are calculating.
A! The Area’s from mul-ti-plication,
of the width an the height gimme some adulation.
I know that you got Sigma Notation,
when your slices add in a big summation!
So the BCE, won’t disagree,
and let me decree Archimedes.
He had the same idea in ancient Greece.
But it feels exhausting without Rie-
mann, Hanover kid summing the bits,
and more cunning and witz, than Brechtian skitz.
And get on it, it’s all working out, you don’t shun it,
I just set up my summation, time to sum it!
And this looks like a job for Rie-
mann, add it up from A to B and
the more slices that you see
can increase your accuracy.
And this looks like a job for Rie-
mann, add it up from A to B and
the more slices that you see
can increase your accuracy.
Little slices, make area nicest.
The smallest of sizes will be the precisest.
Infinitesima-al bits will entice us,
'till someone comes along with a vision and yells, SWITCH!
A visionary, vision of area,
to start the transformation,
Summation is changing with limits,
‘n’ is getting greater so vast that,
it’s a fact that I know that those little slices outlast,
Attempts to count them!
What a catastrophe!
Cause there can’t be enough
Time to count to infinity!
But step back.
n n n n n n n n n n.
There’s no width to measure,
truly thin, so change the letter,
d for Delta. A differential trend setter.
The new Sigma notation, slimmer is better!
And it’s the best thing,
the S thing’s suggesting.
Divesting x of the sub i, I’m stressing:
An-ti – der-i-va –tive.
When I mention integral of f x d
x. Who made sense, intense from A to B?
Ah Newton? Not him. No not Cauchy.
No! this looks like a job for Rie-
mann, add it up from A to B and
the more slices that you see
can increase your accuracy.
And this looks like a job for Rie-
mann, add it up from A to B and
the more slices that you see
can increase your accuracy.
And this looks like a job for Rie-
mann’s INTEGRAL from A to B and
sliced to infinity,
for your per-fect accuracy.
credits
from icanhasmatheatre! The Archive.,
released August 28, 2014
license
tags
discography
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Aug 2014 -
Dec 2013 -
Oct 2011 -
Dec 2010 -
Oct 2009
contact / help
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