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 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 smoothBut mine's continuous for youYou're the upper bound in the chains of my heartYou're my Axiom of Choice, you know it's trueBut lately our relation's not so well-definedAnd I just can't function without youI'll prove my proposition and I'm sure you'll findWe're a finite simple group of order twoI'm losing my identityI'm getting tensor every dayAnd without loss of generalityI will assume that you feel the same waySince every time I see you, you just quotient outThe faithful image that I map intoBut when we're one-to-one you'll see what I'm about'Cause we're a finite simple group of order twoOur equivalence was stable,A principal love bundle sitting deep insideBut then you drove a wedge between our two-formsNow everything is so complexifiedWhen we first met, we simply connectedMy heart was open but too denseOur system was already directedTo have a finite limit, in some senseI'm living in the kernel of a rank-one mapFrom my domain, its image looks so blue,'Cause all I see are zeroes, it's a cruel trapBut we're a finite simple group of order twoI'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 pastAnd 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 freeAnd by corollary, this shows you and I to bePurely inseparable. Q. E. D.Simply brilliant! Hit play or go to Link [YouTube] - via Fugufish

A more poetic mathematical love poem is one from Stanislaw Lem's "The Cyberiad":

Come, let us hasten to a higher plane,
Where dyads tread the fairy fields of Venn,
Their indices bedecked from one to n,
Commingled in an endless Markov chain!

Come, every frustrum longs to be a cone,
And every vector dreams of matrices.
Hark to the gentle gradient of the breeze:
It whispers of a more ergodic zone.

In Riemann, Hibert or in Banach space
Let superscripts and subscripts go their ways.
Our asymptotes no longer out of phase,
We shall encounter, counting, face to face.

I'll grant thee random access to my heart,
Thou'lt let me all the constants of thy love;
And so we two shall all love's lemmas prove,
And on our bound partition never part.

For what did Cauchy know, or Christoffel,
Or Fourier, or any Boole or Euler,
Weilding their compasses, their pens and rulers,
Of any supernal sinusoidal spell?

Cancel me not -- for what then shall remain?
Abcissas, some mantissas, modules, modes,
A root or two, a torus and a node:
The inverse of my verse, a null domain.

Ellipse of bliss, converge, O lips divine!
The product of our scalars is defined!
Cyberiad draws nigh, and the skew mind
Cuts capers like a happy haversine.

I see the eigenvalue in thine eye,
I hear the tender tensor in they sigh,
Bernoulli would have been content to die,
Had he but known such a^2 cos 2 phi!
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