\nI've been reading Deep Simplicity: Bringing Order to Chaos and Complexity<\/a> by John Gribbin. I was hoping to glean more insight into the whole \"levels of organization\" problem<\/a>
\nthat has long fascinated me. I also used one of Gribben's examples of
\nwhat many call a \"sensitive dependence on initial conditions\" to use my
\ncomputer to plot the results. I was considering using Matplotlib \/ pylab - matlab style python plotting (plots, graphs, charts)<\/a> but instead used Excel, which did the job fine.\n<\/p>\n

\nWhat was the task in question? It was to iterate the function 2x^2-1,
\nwhere x is in between -1 and 1, to see how even a small change in an
\ninitial x leads to diverging values as we go through the iterations.
\nThat is, the small differences are magnified by the feedback loop of
\niteration. (I know that the last two sentences are not terribly well
\nwritten alas....) <\/p>\n

\nBesides getting to play with mathematically oriented computation, did I
\nactually glean any more insight about why there seem to be distinct
\nlevels of organization in our cosmos? I don't know. At first, I was
\ngoing to write that the sensitive dependence on initial conditions can
\ngive rise to boundaries -- but I can't say such a statement makes any
\nsense to me. Hmmm....back to the mental drawing board. <\/p>\n","protected":false},"excerpt":{"rendered":"

I’ve been reading Deep Simplicity: Bringing Order to Chaos and Complexity by John Gribbin. I was hoping to glean more insight into the whole “levels of organization” problem that has long fascinated me. I also used one of Gribben’s examples … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"activitypub_content_warning":"","activitypub_content_visibility":"","activitypub_max_image_attachments":3,"activitypub_interaction_policy_quote":"","activitypub_status":"","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}},"categories":[29],"tags":[],"class_list":["post-488","post","type-post","status-publish","format-standard","hentry","category-science"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7I6qs-7S","jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/hypotyposis.net\/blog\/wp-json\/wp\/v2\/posts\/488","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hypotyposis.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hypotyposis.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hypotyposis.net\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hypotyposis.net\/blog\/wp-json\/wp\/v2\/comments?post=488"}],"version-history":[{"count":0,"href":"https:\/\/hypotyposis.net\/blog\/wp-json\/wp\/v2\/posts\/488\/revisions"}],"wp:attachment":[{"href":"https:\/\/hypotyposis.net\/blog\/wp-json\/wp\/v2\/media?parent=488"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hypotyposis.net\/blog\/wp-json\/wp\/v2\/categories?post=488"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hypotyposis.net\/blog\/wp-json\/wp\/v2\/tags?post=488"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}