Wednesday, July 21, 2021

Love and Tensor Algebra

     Stanislaw Lem (1921-2006) was a Polish science fiction writer whose works have been widely translated.  Here is a poem of his (found here in a blog with final postings in 2007)  -- a poem that enthusiastically expresses love in the language of mathematics!

Love and Tensor Algebra      
                    by Stanislaw Lem (translated by Michael Kandel)

 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 four scalars it defines!
 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 a²cos2Φ!

     This selection from Lem's Cyberiad also is found in Strange Attractors:  Poems of Love and Mathematics, edited by Sarah Glaz and JoAnne Growney (AK Peters/CRC Press, 2008).

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