songs ar composed by...

thx to siong thye for e below postings (he actually gives the second one, but i believe e first one is more 'listener' friendly). anyway, these songs ar composed by a group of math majors...



Twelve Days of Christmas
The Klein Four Group

The Klein Four Group sings a different version of "The Twelve Days of Christmas."

Approximate Lyrics:

On the first day of Christmas,
My true love gave to me,
A partridge in a pear tree.

On the second day of Christmas,
My true love gave to me,
Two turtle doves,
And a partridge in a pear tree.

On the fourth day of Chris...
On the third day of Christmas,
My true love gave to me,
Five golden rings,
Four calling birds,
Three french hens,
Two turtle doves,
And a partridge in a pear tree.

(A)
On the ninth day of Christmas,
My true love gave to me,
Nine ladies dancing,
Eight maids-a-milking,
Seven swans-a-swimming...

(B)
On the eighth day of Christmas,
My true love gave to me,
Eight maids-a-milking,
Seven swans-a-swimming,
Six geese-a-laying...

You better not shout,
You better not cry,
You better not...
In a pear tree.

On the ninth,
No!
On the eighth,
No!

(A)
On the seventh day of Christmas,
My true love gave to me,
Seven swans-a-swimming,
Six geese-a-laying,

(B)
Deck the halls with boughs of holly,
Here we come a-wassailing among the leaves

(A)
Five golden rings,

(B)
Fa, la, la, la, la, la, la, la.

Four calling birds,
Three french hens,
Two turtle doves,

(A)
Here we come a-wassailing among the leaves

(B)
The boar's head in hand bear I, bedeck'd in bays,
And partridge in a pear tree.

On the eleventh day of Christmas,
My true love gave to me,

(A)
Ding, dong,
Ding, dong,
Ding, dong.

(B)
Eleven pipers piping,
Ten lords-a-leaping,
Nine ladies dancing,
Eight maids-a-milking,
Seven swans-a-swimming,
Six geese-a-laying,

Five golden rings,
Four calling birds,
Three french hens,
Two turtle doves,

And Rudolph the Red-Nosed Reindeer.

(A)
On the twelfth day of Christmas,
My true love gave to me,

(B)
I have a little dreidel,
I made it out of clay,
And when it's dry and ready,
Oh dreidel I shall play,
Oh dreidel, dreidel... sorry.

On the twelfth day of Christmas,
My true love gave to me,
Twelve drummers drumming,
Eleven pipers piping,
Ten lords-a-leaping,
Nine ladies dancing,
Eight maids-a-milking,
Seven swans-a-swimming,
Six geese-a-laying,

Five golden rings,

Ba dum bum bum,

Four calling birds,
Three french hens,
Two turtle doves,
And a partridge in a pear tree.



Finite Simple Group (of Order Two)
The Klein Four Group

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.