tag:blogger.com,1999:blog-8591018003444406729.post7173932924041392489..comments2023-10-25T06:13:28.265-04:00Comments on The Conservative Wahoo: The Conservative Wahoohttp://www.blogger.com/profile/17818674434286683162noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-8591018003444406729.post-53255586079323635582011-11-22T12:57:20.308-05:002011-11-22T12:57:20.308-05:00Hammer - you forgot to adjust for leap seconds. O...Hammer - you forgot to adjust for leap seconds. Otherwise, your calculations are spot on.Mudgehttps://www.blogger.com/profile/10106218895150473141noreply@blogger.comtag:blogger.com,1999:blog-8591018003444406729.post-10831330543636481392011-11-22T12:53:34.956-05:002011-11-22T12:53:34.956-05:00Hammer - you forgot to adjust for leap seconds. O...Hammer - you forgot to adjust for leap seconds. Otherwise, your calculations are spot on.Mudgehttps://www.blogger.com/profile/10106218895150473141noreply@blogger.comtag:blogger.com,1999:blog-8591018003444406729.post-75853309114315707112011-11-21T06:38:23.638-05:002011-11-21T06:38:23.638-05:00I beg to differ Sir:
z = x + iy = |z| (\cos \...I beg to differ Sir:<br /><br /> z = x + iy = |z| (\cos \phi + i\sin \phi ) = r e^{i \phi} \ <br /> \bar{z} = x - iy = |z| (\cos \phi - i\sin \phi ) = r e^{-i \phi} <br />where x = \mathrm{Re}\{z\} \, the real part<br /> y = \mathrm{Im}\{z\} \, the imaginary part<br /> r = |z| = \sqrt{x^2+y^2} the magnitude of z<br /> \phi = \arg z = \, atan2(y, x) <br /><br />and furthermore you clearly didn't consider:<br /><br /> whereas $1= \cos x\cdot \cos y & = \frac{(e^{ix}+e^{-ix})}{2} \cdot \frac{(e^{iy}+e^{-iy})}{2} \\ & = \frac{1}{2}\cdot \frac{e^{i(x+y)}+e^{i(x-y)}+e^{i(-x+y)}+e^{i(-x-y)}}{2} \\ & = \frac{1}{2} \left[ \{ \frac{e^{i(x+y)} + e^{-i(x+y)}}{2} }_{\cos(x+y)} + \{ \frac{e^{i(x-y)} + e^{-i(x-y)}}{2} }_{\cos(x-y)}."The Hammer"https://www.blogger.com/profile/16342812251947807673noreply@blogger.comtag:blogger.com,1999:blog-8591018003444406729.post-80672094495370529172011-11-20T11:05:37.579-05:002011-11-20T11:05:37.579-05:00Way too easy, Hammer. And nice try Ken, but wrong....Way too easy, Hammer. And nice try Ken, but wrong. As anyone with just half a brain (or less, just have to meet the qualifications of a liberal) could tell you, clearly, the men had not sufficiently redistributed their wealth so Obama took it to give to the SEIU so they could fight for bellboy justice and get him more votes.Mudgehttps://www.blogger.com/profile/10106218895150473141noreply@blogger.comtag:blogger.com,1999:blog-8591018003444406729.post-67807284993762847452011-11-20T10:29:56.849-05:002011-11-20T10:29:56.849-05:00It's not missing. The men each paid $25/3 for...It's not missing. The men each paid $25/3 for the room, and $2/3 for a tip to the bellboy - ($25+$2)/3 = $27/3 = $9 for each man. The had each initially paid $10, so their change back of $1 each works out correctly.Ken Adamshttps://www.blogger.com/profile/05964472361213569789noreply@blogger.com