Date: Tue, 25 Sep 2001 15:43:15 -0400 Subject: The Arctan Page From: Brett Tabor <btabor@mac.com> To: <jdhildeb@undergrad.math.uwaterloo.ca> Hi... Just wanted to let you know that I'm a freshman B.Comm student at McGill, who's great in Arts courses but lousy in Science ones, and I'm trying to do my first assignment in Calculus... So far I've only been able to solve one of the ten problems, but I think, know that I know what Arctan is, I'll be able to solve one more. ... And so I keep on working. Thanks Brett.

Date: Wed, 26 Jun 1996 05:56:23 -0400 (EDT) From: Nancy McGough <nancym@ii.com> To: jdhildeb@noether.math.uwaterloo.ca Subject: your arctan page Hello Jason, I've made a link to your arctan page on my Continuum Hypothesis page, which is at: http://www.jazzie.com/ii/math/ch/ One thing you might want to add to your page is details about how arctan can be used to show that a finite open interval is isomorphic to the reals. Thanks for a cool page! Nancy

From: "VIDIANI" <lg_vidiani@ipac.fr> To: <jdhildeb@undergrad.math.uwaterloo.ca> Subject: arctan Date: Thu, 28 Dec 2000 18:37:54 +0100 Hello 28 12 2000 18h38 In FAQ of Borgoin http://home.earthlink.net/~janos1/vidpage/color_faq.html there is " The big disadvantage of this model is the conversion which is mainly because the hue is expressed as an angle. The transforms are given below: Hue = (Alpha-arctan((Red-intensity)*(3^0.5)/(Green-Blue)))/(2*PI) with { Alpha=PI/2 if Green>Blue { Aplha=3*PI/2 if Green<Blue { Hue=1 if Green=Blue Saturation = (Red^2+Green^2+Blue^2-Red*Green-Red*Blue-Blue*Green)^0.5 Intensity = (Red+Green+Blue)/3 " In what interval is necessary it to set arctan so that hoots is continuous in particular for G=B? In advance thank you! @+ LGV VIDIANI lg_vidiani@ipac.fr 64 rue de l'Europe 21121 Fontaine Les Dijon (France) tel : 03 80 56 65 53

Date: Mon, 13 Nov 2000 12:42:02 -0500 From: Student_205DHE <Student_205DHE@oakland.edu> To: jdhildeb@undergrad.math.uwaterloo.ca Subject: arctan You did not include anything on the integration of the arctan function. This has presented me with a rather unfortunate inconvenience, and I feel that if you liked the arctan that much, you might have looked at the first 20 integrations also. I hope to see some improvement in the future.

From: "Charlie" <c.orford@student.umist.ac.uk> To: <jdhildeb@undergrad.math.uwaterloo.ca> Subject: wanker boy! Date: Wed, 6 Dec 2000 02:20:33 -0000 Have you nothing better to do than appreciate a mathamatical function? Perhaps women (men) / drink / sheep / car exhausts etc. may warrant further investigation in your life. Regards, Charlie Date: Wed, 6 Dec 2000 12:24:30 -0500 (EST) From: "Jason D. Hildebrand" <jdhildeb@trotzdem.youngst.org> To: Charlie <c.orford@student.umist.ac.uk> Subject: Re: wanker boy! You mean to say that you don't get off on mathematical functions like you do from women/drink/sheep/car exhaust? :) Seriously, the arctan page is a joke I put together several years ago. Rest assured there are women and drink in my life. No sheep yet, though. :) Peace, Jason From: "Charlie" <c.orford@student.umist.ac.uk> To: "Jason D. Hildebrand" <jdhildeb@undergrad.math.uwaterloo.ca> Subject: Re: wanker boy! Date: Thu, 7 Dec 2000 01:42:26 -0000 I feel I owe you an apology! You appear to be a decent chap. However, you must be able to understand my initial shock when I stumbled upon your site :o) May you have many fruitful experiences with both women and drink! Charlie