{"id":903,"date":"2010-07-09T22:41:52","date_gmt":"2010-07-10T05:41:52","guid":{"rendered":"http:\/\/www.johnnylogic.org\/?p=903"},"modified":"2010-07-18T11:14:32","modified_gmt":"2010-07-18T18:14:32","slug":"love-and-tensor-algebra","status":"publish","type":"post","link":"https:\/\/www.johnnylogic.org\/blog\/2010\/07\/09\/love-and-tensor-algebra\/","title":{"rendered":"Love and Tensor Algebra"},"content":{"rendered":"<p>from &#8220;The Cyberiad&#8221; by Stanislaw Lem:<\/p>\n<p style=\"padding-left: 30px;\">Come, let us hasten to a higher plane,<br \/>\nWhere dyads tread the fairy fields of Venn,<br \/>\nTheir indices bedecked from one to n,<br \/>\nCommingled in an endless Markov chain!<\/p>\n<p style=\"padding-left: 30px;\">Come, every frustum longs to be a cone,<br \/>\nAnd every vector dreams of matrices.<br \/>\nHark to the gentle gradient of the breeze:<br \/>\nIt whispers of a more ergodic zone.<\/p>\n<p style=\"padding-left: 30px;\">In Riemann, Hilbert or in Banach space<br \/>\nLet superscripts and subscripts go their ways.<br \/>\nOur asymptotes no longer out of phase,<br \/>\nWe shall encounter, counting, face to face.<\/p>\n<p style=\"padding-left: 30px;\">I&#8217;ll grant thee random access to my heart,<br \/>\nThou&#8217;lt tell me all the constants of thy love;<br \/>\nAnd so we two shall all love&#8217;s lemmas prove,<br \/>\nAnd in our bound partition never part.<\/p>\n<p style=\"padding-left: 30px;\">For what did Cauchy know, or Christoffel,<br \/>\nOr Fourier, or any Boole or Euler,<br \/>\nWielding their compasses, their pens and rulers,<br \/>\nOf thy supernal sinusoidal spell?<\/p>\n<p style=\"padding-left: 30px;\">Cancel me not&#8211;for what then shall remain?<br \/>\nAbscissas, some mantissas, modules, modes,<br \/>\nA root or two, a torus and a node:<br \/>\nThe inverse of my verse, a null domain.<\/p>\n<p style=\"padding-left: 30px;\">Ellipse of bliss, converge, O lips divine!<br \/>\nThe product of our scalars is defined!<br \/>\nCyberiad draws nigh, and the skew mind<br \/>\nCuts capers like a happy haversine.<\/p>\n<p style=\"padding-left: 30px;\">I see the eigenvalue in thine eye,<br \/>\nI hear the tender tensor in thy sigh.<br \/>\nBernoulli would have been content to die,<br \/>\nHad he but known such a2 cos 2 phi!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>from &#8220;The Cyberiad&#8221; 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, 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 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[],"tags":[],"class_list":["post-903","post","type-post","status-publish","format-standard","czr-hentry"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p71YpQ-ez","jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/posts\/903","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/comments?post=903"}],"version-history":[{"count":4,"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/posts\/903\/revisions"}],"predecessor-version":[{"id":905,"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/posts\/903\/revisions\/905"}],"wp:attachment":[{"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/media?parent=903"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/categories?post=903"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.johnnylogic.org\/blog\/wp-json\/wp\/v2\/tags?post=903"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}