Love and Tensor Algebra from "The Cyriad"

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 a^2 cos 2 ψ¹!

Footnotes

The poem is taken from “The Cyeriad” in which the constructor Klaupacius, friend and rival of the constructor Trurl, who has created a machine which writes poetry, requests it for one.

“Very well. Let’s have a love poem, lyrical, pastoral, and expressed in the language of pure mathematics. Tensor algebra mainly, with a little topology and higher calculus, if need be. But with feeling, you understand, and in the cybernetic spirit.”
“Love and tensor algebra? Have you taken leave of your senses?” Trurl began, but stopped, for his electronic bard was already declaiming.
— Trurl’s Electronic Bard