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Path: news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: Richard Heathfield <rjh@cpax.org.uk> Newsgroups: comp.theory Subject: Re: Integration "by parts" [was Re: Functions computed by Turing Machines ...] Date: Mon, 5 May 2025 16:49:08 +0100 Organization: Fix this later Lines: 27 Message-ID: <vvamlk$po7l$1@dont-email.me> References: <TuuNP.2706011$nb1.2053729@fx01.ams4> <vutefq$gmbi$3@dont-email.me> <991dde3a60e1485815b789520c7149e7842d18f2@i2pn2.org> <vuti3c$jq57$1@dont-email.me> <vutmr6$nvbg$2@dont-email.me> <vutv7r$v5pn$4@dont-email.me> <vuu73m$151a8$3@dont-email.me> <vuuej8$1cqp7$1@dont-email.me> <vuur2n$1qe3m$2@dont-email.me> <vv0352$2ur4q$1@dont-email.me> <vv0kpi$3djh5$1@dont-email.me> <vv13ro$3r3ei$1@dont-email.me> <vv160a$3smj7$1@dont-email.me> <vv18s7$3uer0$1@dont-email.me> <vv1b03$4a4k$2@dont-email.me> <vv1bav$3ra6l$7@dont-email.me> <vv1frt$97hp$1@dont-email.me> <vv1gfu$3ra6l$8@dont-email.me> <vv1js4$d4ik$1@dont-email.me> <-GOdnZvgEPn-84j1nZ2dnZfqn_SdnZ2d@brightview.co.uk> <vv4alu$2t388$1@dont-email.me> <K2ednc0OY5rg-Iv1nZ2dnZfqnPednZ2d@brightview.co.uk> <vv5rpm$8mnn$1@dont-email.me> <YxOdnZxmBe9xL4v1nZ2dnZfqn_SdnZ2d@brightview.co.uk> <vv7198$1cr7l$1@dont-email.me> <LtOcnfIMycoTJYr1nZ2dnZfqn_GdnZ2d@brightview.co.uk> <vv8lj5$2rjp5$1@dont-email.me> <vvac1f$2qh0$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 05 May 2025 17:49:09 +0200 (CEST) Injection-Info: dont-email.me; posting-host="35396e3e70446f4ec1a7d7dab39281f2"; logging-data="844021"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18EYvmfoBHBBIL4Z/dSMYfBqjdnvXttceQ0VRJbUtWSgg==" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:Pm7mmab3UJJpAq46/M3pMxDRPwQ= In-Reply-To: <vvac1f$2qh0$1@dont-email.me> Content-Language: en-GB On 05/05/2025 13:47, Andy Walker wrote: > On 04/05/2025 22:18, Richard Heathfield wrote: >> [...] I hit a hard wall (integration by parts) and never really >> recovered. > > Is that still a "hard wall" for you? It's been many years since I last visited that part of the garden. > I know how annoying it is to be told that something you find > hard is "really" very easy, but in this case it really is, and > the problem is usually bad teaching. I have no doubt that to real mathematicians it's a walk in the park, but not to me. I managed to pick out a path in which I never needed more than algebra, trigonometry, and a certain aptitude for bullying computers. The only integration I've done since sixth form has been integration testing. <snip> -- Richard Heathfield Email: rjh at cpax dot org dot uk "Usenet is a strange place" - dmr 29 July 1999 Sig line 4 vacant - apply within