From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/9296 Path: news.gmane.org!.POSTED!not-for-mail From: Patrik Eklund Newsgroups: gmane.science.mathematics.categories Subject: Re: An elementary question Date: Tue, 15 Aug 2017 07:50:49 +0300 Message-ID: References: Reply-To: Patrik Eklund NNTP-Posting-Host: blaine.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=US-ASCII; format=flowed Content-Transfer-Encoding: 7bit X-Trace: blaine.gmane.org 1502818637 16632 195.159.176.226 (15 Aug 2017 17:37:17 GMT) X-Complaints-To: usenet@blaine.gmane.org NNTP-Posting-Date: Tue, 15 Aug 2017 17:37:17 +0000 (UTC) Cc: Categories , scott@cs.cmu.edu To: Mike Stay Original-X-From: majordomo@mlist.mta.ca Tue Aug 15 19:37:12 2017 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtp2.mta.ca ([198.164.44.40]) by blaine.gmane.org with esmtp (Exim 4.84_2) (envelope-from ) id 1dhfmA-0003wQ-8O for gsmc-categories@m.gmane.org; Tue, 15 Aug 2017 19:37:10 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:44000) by smtp2.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1dhfm9-0002KL-TV; Tue, 15 Aug 2017 14:37:09 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1dhflo-0001kp-GX for categories-list@mlist.mta.ca; Tue, 15 Aug 2017 14:36:48 -0300 In-Reply-To: Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:9296 Archived-At: Right. So a bit like the carriage return at the of a line in written text. This would be an application for the structure of the whole text. Maybe so, but if that text (maybe shown on a monitor) is about drug treatment of hypertension, we have a poset of events leading to blood vessels being too stiff because angiotensin receptors are too many. Receptor blockers is one treatment. Another is diuretics affecting unfavourable water retention, which makes the blood volume unnecesary large. Such water retention disturbance is also the result of a poset of events leading to that disturbance. Now, and unfortunately, medical mathematics does not embrace these things, and in fact, when medication with both angiotensin receptor blockers and diuretics, it is not known with which to start and wait before starting with the other. Decades ago it was all about diuretics, but now it's different. Why? Certainly not because of a better understanding of the intertwining of those posets. So in that text, readable on the monitor, there are indeed partial orders, and if you, Mike, want to focus on the carriage return, fine. Patrik PS We've written a paper on the order of interventions, based on using modules, non-commutativity and over monoidal closed categories. If anybody is interested in a copy, just let me know. On 2017-08-14 21:43, Mike Stay wrote: > On Sun, Aug 13, 2017 at 10:42 PM, Patrik Eklund > wrote: >> What would be the practical applications of that construction? > > Scan lines on your monitor screen: the rightmost point on the first > line has an address or index that is less than the leftmost point on > the second. > -- > Mike Stay - metaweta@gmail.com > http://www.cs.auckland.ac.nz/~mike > http://reperiendi.wordpress.com [For admin and other information see: http://www.mta.ca/~cat-dist/ ]