Love and Tensor Algebra

From "The Cyberiad" by 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,
            Comingled 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, 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 mantissa, 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 phi)].