Saturday, September 24, 2005

De volta à raiz de dois

da "Uma vez escoteiro":

"Levei seis anos de minha infância com um lenço enrolado no pescoço, flor-de-lis na lapela e pureza no coração, para descobrir que não passava de um candidato à solidão. Alguma coisa ficou, é verdade: a certeza de que posso a qualquer momento arrumar a minha mochila, encher de água o meu cantil e partir. Afinal de contas aprendi mesmo a seguir uma trilha, a estar sempre alerta, a ser sozinho, fui escoteiro — e uma vez escoteiro, sempre escoteiro". (FSabino, nasceu homem, morreu minino)

Love and tensor algebra (poem by the Polish writer Stanislaw Lem)

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 frustum 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, Hilbert 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 tell me all the constants of thy love;
And so we two shall all love's lemmas prove,
And in our bound partition never part.

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

Cancel me not - for what then shall remain?
Abscissas 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 thy sigh.
Bernoulli would have been content to die,
Had he but known such a2 cos 2 ψ!