- For the benefit of Dr. T
- Projective Plane
- Number Theory Man
- Zometool
- It's in C
- With a little help from my team
- Fixing a hole
- Complete the Metric
- Lucy in the Skirt, Destroyer
- Linear Spaces
- Calculus
- When I'm 34 (24)
- Help

For the benefit of Dr. T

there will be a camp this year in Washington

The Junta(!) they will all be there

with red and green and purple hair

What a scene

I once had two lines

they were so fine

but they'd never meet

Or so i thought

Isn't it strange

Projective plane

They never get closer, they never get farther apart

No one could bring them together, no matter how smart

But Mira said I was wrong

and not before long

I saw what she meant

They can meet at a point

Hey can't you see

Infinity

He's a number theory man

living in the primal land

He will factor integers for everyone

He works in characteristic p

He knows that 10 is 1 mod 3

Isn't he a bit like Dave and Russ

Zometool

Don't make a mess

you take our office

and make it cluttered

Remember to pack the pieces away

then it can stay

in the office

Zometool

Don't make a mess

you take our office

and make it cluttered

Remember to pack the pieces away

then it can stay

in the office, office, office, office, office...

na na na nanana na, na na na na, Zometool

na na na nanana na, na na na na, Zometool

na na na nanana na, na na na na, Zometool

When I've got a polynomial

real coefficients in nth degree

there will be n answers - they're in C

The fundamental theorem of algebra

gives me this guarantee;

there will be an answer - it's in C

Its in C, it's in C

Its in C, it's in C

There will be an answer - it's in C

If you need some eigenvalues

of a matrix (counting multiplicity)

You will find n lambdas... they're in C

But if that matrix is Hermitian

it doesn't take too long to see

that they'll all be in R... which is in C

It's in C, it's in C

It's in C, it's in C

the lambdas are in R.. and it's in C

When trying to do an integration

with limits at infinity

try it using a contour in C

If you find a really nice curve

and apply the equation from Cauchy

You will get your answer.. it's in C

It's in C, it's in C

It's in C, it's in C

You will find an answer... It's in C

What would you think if I did problem 2

though ive done #s 6, 5 & 3

We'd better get someone to write it all up

or they'll give us a big penalty

Oh I get by with a little help from my team

Oh I score high with a little help from my team

oh I'm gonna try with a little help from my team

What would you think if I opted out now

even though its an hour til it's due

I haven't looked over the questions at all

I guess it's all left up to you

Oh I get by with a little help from my team

Oh I score high with a little help from my team

Oh I'm gonna try with a little help from my team

Do you need anybody?

(I need someone on my team)

Could it be anybody?

(I want someone on my team)

I'm fixing a hole

where theres no limit

to make my space complete

Make it adic

We got p-adic metric

all the

points are centers

of the disks

that they're in

Where are moral limits

What an odd topology

It depends on all prime numbers and it's so hard to see

Complete the metric

right now ... over Q

Picture yourself on the phone

in the office

with Jamba Juice mugs

and punk color dyes

Dr. T calls you, he needs one J.C. to

get some more chalk supplies

Lucy in the skirt, destroyer

Lucy in the skirt, destroyer

Lucy in the skirt, destroyer

Ah... look at all linear spaces

Ah.. look at all those vector spaces

Vector operations

Rotate and reflect, amplify, skew the lines, or translate

Isn't it great?

Find the eigenvalues

to see how our transformations can change the look of space

(this involves the trace)

All linear spaces

where do they all come from?

These linear spaces

are turning my mind numb

Why must I change basis?

Computing the matrix and inverse is really a pain

What do I gain?

Then I do IFS

producing triangles and spirals and ferns and odd curves

Watch how it swerves

All linear spaces

Where do they all come from

These linear spaces

are turning my mind numb

Calculus

I don't see whats all the fuss

I've got some issues that I must discuss

Oh I dont get this calculus

Epsilon

where have all those pesky deltas gone

I think this series just goes on and on

but I must bound by epsilon.

dy dt

adds discontinuity

It's such an awful fate

I learned, one day

the Riemann way

and now I can't integrate

Calculus

switching limits you must distrust

unless you've got bounds and then it's just-

-ified in our calculus

dy dt

adds discontinuity

It's such an awful fate

I learned, one day

the Riemann way

and now I can't integrate

Calculus

switching limits you must distrust

unless you've got bounds and then it's just-

-ified in our calculus

mmm mmm mmm mmm mmm mmm

When I am finishing my PhD

many years from now

will I get to be a prof at MIT

or just postdoc for eternity?

But I could be flipping burgers next year

or sweeping up a floor --

Will you still need me

Will you still fund me

When im 34 (24)?

(to the tune of Help!)

Hair! I need to dye it

Math! you know I'd like to try it

Sleep! I really need some

Help!

When I was younger, 5 weeks younger than today

I never needed mathematics help in any way

but now those days are gone

I've learned so much more

Now I find I've lost my mind

and my body's hit the floor

Teach me if you can I want to know

how these Lindenmeyer systems grow

and how I can get in the IMO

Won't you please please teach me

And now my life has changed in oh so many ways

The time I've got to sleep has vanished in the haze

But every now and then I take a little snooze

I know I shouldnt nap

during assembly on Tues(day)

Help me if you can I need some rest

and I know an early bedtime would be best

8 hours straight is my undying quest

Won't you please please let me sleep

When I was younger, 5 weeks younger than today

I never needed mathematics help in any way

but now those days are gone

I've learned so much more

Now I find I've lost my mind

and my body's hit the floor

Teach me if you can I want to know

How these Lindenmeyer systems grow

and how I can get in the IMO

Won't you please please teach me