tag:blogger.com,1999:blog-8231784566931768362.post2531171871445184722..comments2023-09-09T08:21:55.454-04:00Comments on MathNotations: Special Challenge Week of 1-29-07Dave Marainhttp://www.blogger.com/profile/13321770881353644307noreply@blogger.comBlogger8125tag:blogger.com,1999:blog-8231784566931768362.post-78972325646249008082007-01-28T20:08:00.000-05:002007-01-28T20:08:00.000-05:00Yes, I like the consistent format. In words:
"phi...Yes, I like the consistent format. In words:<br /><br />"phi is one more than its reciprocal and one less than its square."<br /><br />The equations make the point more simply, more powerfully.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8231784566931768362.post-12399322153050350052007-01-28T17:05:00.000-05:002007-01-28T17:05:00.000-05:00What an interesting problem! I have no idea how to...What an interesting problem! I have no idea how to solve it.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8231784566931768362.post-63403265744231211882007-01-28T16:09:00.000-05:002007-01-28T16:09:00.000-05:00right on, mrc!
yes, unless i specify otherwise, as...right on, mrc!<br />yes, unless i specify otherwise, assume from now on that the domain in all my problems is real!<br /><br />jonathan--<br />why do you like those eqns like that? consistency of form, i.e., linear expressions on l.h.s?Dave Marainhttps://www.blogger.com/profile/13321770881353644307noreply@blogger.comtag:blogger.com,1999:blog-8231784566931768362.post-64674004242987791272007-01-28T12:59:00.000-05:002007-01-28T12:59:00.000-05:00Busted! Of course there's no reason you can't hav...Busted! Of course there's no reason you can't have a zero inside your square root. So all my < should be <=.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8231784566931768362.post-64252153415933899582007-01-28T12:52:00.000-05:002007-01-28T12:52:00.000-05:00I assume we're sticking with real numbers here?I assume we're sticking with real numbers here?Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8231784566931768362.post-60728219563031810552007-01-28T07:53:00.000-05:002007-01-28T07:53:00.000-05:00I like those equations like this:
x+1 = x^2
x =...I like those equations like this:<br /><br />x+1 = x^2<br />x = x<br />x-1 = 1/xAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-8231784566931768362.post-70230871730906399582007-01-28T06:22:00.000-05:002007-01-28T06:22:00.000-05:00mrc: looks good but check your inequality
I will ...mrc: looks good but check your inequality<br /><br />I will post 'official' answers and comments later on Sun or Mon...<br /><br />Students always seem amazed when i tell them that the conjugate of the Golden ratio is the same as one less than that number but of course 1/x = x-1 or<br />1 = x^2-x is how one determines the number!Dave Marainhttps://www.blogger.com/profile/13321770881353644307noreply@blogger.comtag:blogger.com,1999:blog-8231784566931768362.post-10291615362383331842007-01-28T03:05:00.000-05:002007-01-28T03:05:00.000-05:00a) 16/25
b) domain of f: 2/(1+sqrt(5))a) 16/25<br />b) domain of f: 2/(1+sqrt(5)) < x < 1<br />c) the lower bound of the domain is the golden ratio conjugateAnonymousnoreply@blogger.com