tag:blogger.com,1999:blog-2433841880619171855.comments2019-02-16T19:15:22.482+00:00Pat'sBlogPat Ballewhttps://plus.google.com/102211537828528656806noreply@blogger.comBlogger1068125tag:blogger.com,1999:blog-2433841880619171855.post-90940132601469999932019-02-16T19:15:22.482+00:002019-02-16T19:15:22.482+00:00By equal I meant 6 equal area subtriagles (not con...By equal I meant 6 equal area subtriagles (not congruent)Benjamin Leishttps://www.blogger.com/profile/10974191081762367425noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-83507792093116290562019-02-16T19:14:24.013+00:002019-02-16T19:14:24.013+00:00I find this easiest to understand by looking at th...I find this easiest to understand by looking at the centroid.<br /><br />First: it divides the triangle into six equal subtriangles so any two will have the same area.<br /><br />Secondly: you get one pair of angles in the 2 new triangles are directly congruent from being opposites at the centroid. But more interestingly 2 of the new angles + a third add up to 180 and that third angle is the opposite of another angle in the other pair. <br /><br />So since any triangle's angles also adds to 180 you have AA similarity between the 2 new pair-triangles. <br /><br />Any similar triangles with the same area are also congruent (or you could use the shared sides length to derive ASA)<br />(<br />Benjamin Leishttps://www.blogger.com/profile/10974191081762367425noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-77369564503305003292019-02-13T04:52:37.439+00:002019-02-13T04:52:37.439+00:001/2 (n - 3) n = 0.5 (n - 3) n
(assuming n vertices...1/2 (n - 3) n = 0.5 (n - 3) n<br />(assuming n vertices)..Prove why it can't be done with 11..Unknownhttps://www.blogger.com/profile/05003748588211623880noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-37997390526395982822019-02-12T08:26:51.672+00:002019-02-12T08:26:51.672+00:00Is there a prime that allows to "duplicate&qu...Is there a prime that allows to "duplicate" more than two times? (counting two "duplications" for 42 as in: 42 --> 4242 --> 42424242 and still giving twin primes). I guess not.Namastehttps://www.blogger.com/profile/13679688598540578195noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-46852338623724599452019-02-12T07:42:30.828+00:002019-02-12T07:42:30.828+00:00"42 is between a pair of twin primes (41,43) ..."42 is between a pair of twin primes (41,43) and its concatenation with either of them (4241, 4243) is also a prime, which means that 4242 is also between twin primes."<br /><br />Also, continuing to douplicate: 42424242 is between twin primes too!<br />Namastehttps://www.blogger.com/profile/13679688598540578195noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-82688353267751629602019-02-07T10:30:46.298+00:002019-02-07T10:30:46.298+00:00Chris Thompson writes on the Sequence Fanatics dis...Chris Thompson writes on the Sequence Fanatics discussion list:<br /><br />I take it that *Perfectly* Amicable Boxes refers to the question "are there pairs, or triples of Boxes which share the same total edge lengths, surface area, and volume". In which case, no there aren't any.<br /><br />If the box is a X b X c, specifying the edge lengths fixes a+b+c, the surface ab+bc+ca, and the volume abc. Therefore you have fixed the cubic (x-a)(x-b)(x-c) = x^3 - (a+b+c)x^2 + (ab+bc+ca)x - abc, and therefore its three roots, up to a permutation.<br /><br />Or to put it another way, if you have fixed all the elementary symmetric polynomials of a set of numbers, you have fixed the numbers themselves, up to a permutation.Hans Havermannhttps://www.blogger.com/profile/02313127709134723461noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-24241431457613747792014-04-19T12:13:28.413+01:002014-04-19T12:13:28.413+01:00We Hold our Tutors to a Higher Standard, and Pay o...We Hold our Tutors to a Higher Standard, and Pay our Tutors More Fairly, than nearly any other Tutoring Company.Thus, we have Better (and more Experienced) Tutors.We accept only the top tutor applicants, and will never compromise our selectivity in order to artificially inflate our ranks. In addition, every member of the Team is required to have recently scored in the 95th percentile or above on any standardized test that he/she teaches.Math Tutor Austin, Math Tutor Atlanta, Math Tutor Houston, Math Tutor Seattle.<br /><a href="http://etutoruniversity.com/tutor-register.php" title="Math Tutor Las Vegas" rel="nofollow">Math Tutor Las Vegas</a> | <a href="http://etutoruniversity.com/contact-us.php" title="Tutor for kids Las Vegas" rel="nofollow">Tutor for kids Las Vegas</a> | <a href="http://etutoruniversity.com/" title="Math Tutor Charlotte" rel="nofollow">Math Tutor Charlotte</a> | <a href="http://etutoruniversity.com/" title="Math Tutor Phoenix" rel="nofollow">Math Tutor Phoenix</a> | <a href="http://etutoruniversity.com/" title="Math Tutor Hawaii" rel="nofollow">Math Tutor Hawaii</a> | <a href="http://etutoruniversity.com/" title="Math Tutor Los Angeles" rel="nofollow">Math Tutor Los Angeles</a> | <a href="http://etutoruniversity.com/our_philoshphy.php" title="Math Tutor Boston" rel="nofollow">Math Tutor Boston</a> | <a href="http://etutoruniversity.com/student-faq.php" title="Math Tutor New York" rel="nofollow">Math Tutor New York</a> | <a href="http://etutoruniversity.com/tutor-faq.php" title="Math Tutor Denver" rel="nofollow">Math Tutor Denver</a> | <a href="http://etutoruniversity.com/" title="Math Tutor Chicago" rel="nofollow">Math Tutor Chicago</a> | <a href="http://etutoruniversity.com/" title=" Math Tutor" rel="nofollow">Math Tutor </a> | <a href="http://etutoruniversity.com/" title="Science Tutor Las Vegas" rel="nofollow">Science Tutor Las Vegas</a> | Nickonhttps://www.blogger.com/profile/09539215840371723135noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-84788664250746207532014-04-08T04:31:38.980+01:002014-04-08T04:31:38.980+01:00Thats absolutely fantastic!!! This article is real...Thats absolutely fantastic!!! This article is really helpful to understand standard deviation.. I just want one help.. I am not able to understand that ... Sir, In your blog you have mentioned that to compensate we would divide the result by square root of the dimension.. What does this signify... I am eagerly waiting for your response.. Once again thanks a lot...... Mihir Manohar, India.Mihir Manoharhttps://www.blogger.com/profile/09378812216305244430noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-15784170336712032762014-04-03T16:32:02.360+01:002014-04-03T16:32:02.360+01:00That's right. You have to show that the area o...That's right. You have to show that the area of a horizontal section at a distance d from the equator is independent of the radius of the sphere.<br /><br />When you write this out you find the difference of two differences of squares. The radius of the sphere cancels out and you're left with (h/2)^2 - d^2Miguelhttps://www.blogger.com/profile/06568794455475900309noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-81348243706130549232014-03-16T13:34:51.076+00:002014-03-16T13:34:51.076+00:00Thomas,
See Jan 3. RPI Oldest "continuous&qu...Thomas,<br />See Jan 3. RPI Oldest "continuous" Engineering school. West Point was briefly, first Engr school.<br />Pat Ballewhttps://www.blogger.com/profile/15234744401613958081noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-13391433606878054032014-03-16T01:12:28.831+00:002014-03-16T01:12:28.831+00:00Better check RPI, the oldest engineering instituti...Better check RPI, the oldest engineering institution in the English speaking world. Although it is not incorrect to say that West Point is the oldest such school in the US, that statement can be somewhat misleading. Thomas Goodfellowhttps://www.blogger.com/profile/10143769316899926240noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-6444635422020588792014-03-08T15:36:25.714+00:002014-03-08T15:36:25.714+00:00 http://ntaatar.com/ts5/register.php?ref=85 http://ntaatar.com/ts5/register.php?ref=85 Hazem Mohamedhttps://www.blogger.com/profile/06495486060501070940noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-51666546517515355012014-03-03T01:21:59.699+00:002014-03-03T01:21:59.699+00:00This website has very good content. So I am sure t...This website has very good content. So I am sure this website will form the well-known in the future. <br /><br />www.joeydavila.netAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-43344403596343249932014-03-01T11:21:07.637+00:002014-03-01T11:21:07.637+00:00Nice post, I bookmark your blog because I found ve...Nice post, I bookmark your blog because I found very good information on your blog, Thanks for sharing more information <br /><a href="http://www.qsindia.in/" rel="nofollow">Quality Services & Training Pvt.Ltd.</a>QUALITY SERVICEShttps://www.blogger.com/profile/04364830144685438209noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-85021177126153805182014-02-26T02:51:35.347+00:002014-02-26T02:51:35.347+00:00Thanks for sharing your thoughts. I truly apprecia...Thanks for sharing your thoughts. I truly appreciate your efforts and I am waiting for your next write ups thanks once again.<br /> <br /><a href="http://www.imarksweb.org" rel="nofollow">Traviz</a><br />www.imarksweb.orgLeslie Limhttps://www.blogger.com/profile/03983279751843228358noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-26739778369132992002014-02-24T05:07:08.953+00:002014-02-24T05:07:08.953+00:00Paul Foerster said...
I can confirm Hector Hirigo...Paul Foerster said...<br /><br />I can confirm Hector Hirigoyen's statement about the origin of "m" for slope. Hector was in the audience when I did a presentation at a math teachers' meeting in Florida about 1986 or 1987. His point was that "m" came from the French "montant," meaning "the rise." Because he taught AP French as well as mathematics, it seemed like a logical conclusion. <br /><br />I was so thrilled with this new knowledge that I told it to my BC Calculus class when i returned to San Antonio. To add to the credibility, I asked Cassandra Stapfer, my exchange student from Paris, to confirm that this was correct. Cassandra said, "montant does mean 'the rise,' but in France we use 's' for 'slope'."So much for my brilliant discovery!<br /><br />I did figure out why it was logical to use "b" for the y-intercept. It seemed obvious that "a" was used for the x-intercept, as in the intercept form of the linear function equation, (x/a) + (y/b) = 1. Thanks for confirming my thought in this regard!Paul Foersterhttps://www.blogger.com/profile/08636099898911885607noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-1042712584265086852014-02-23T23:24:08.938+00:002014-02-23T23:24:08.938+00:00Thanks Eric and Simon, I have trouble getting Blog...Thanks Eric and Simon, I have trouble getting Blogger to accept complex fractions so I end up trying to alter them.... Maybe My LaTex needs work. Pat Ballewhttps://www.blogger.com/profile/15234744401613958081noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-73170732894960451542014-02-23T23:05:08.789+00:002014-02-23T23:05:08.789+00:00Agree with Dave Giles. H should be 1/H I think...Agree with Dave Giles. H should be 1/H I think...Simon Shawhttps://www.blogger.com/profile/16638024234730833276noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-43631503886291006742014-02-23T17:12:52.692+00:002014-02-23T17:12:52.692+00:00You may want to check the formula you have given f...You may want to check the formula you have given for H.Dave Gileshttps://www.blogger.com/profile/05389606956062019445noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-4692168719271176752014-02-21T13:20:49.656+00:002014-02-21T13:20:49.656+00:00A really interesting post thanks. Lots of ideas fo...A really interesting post thanks. Lots of ideas for me to draw upon in this year's teaching as I have a particularly gifted group of 15 year olds. Thanks for taking the time to write this.<br />RobAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-32116470830903326582014-02-16T02:27:57.053+00:002014-02-16T02:27:57.053+00:00Good blog!Good blog!Charlie Kufshttps://www.blogger.com/profile/06771011696766286519noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-72021299605158289342014-02-13T15:18:43.158+00:002014-02-13T15:18:43.158+00:00Hmm, now I'm wondering if there's any way ...Hmm, now I'm wondering if there's any way to test this properly.Sue VanHattumhttps://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-79741226109294592622014-02-13T15:18:07.195+00:002014-02-13T15:18:07.195+00:00The face cream was mythical. The issues addressed ...The face cream was mythical. The issues addressed by the other data were clearly real.<br /><br />I'm not saying this issue (of our politics interfering with our judgment) doesn't exist. I'm just not impressed with this test of it. If I were one of the subjects, I might write a note saying I thought there was a problem with the data, and I wanted to see the original study design. <br />Sue VanHattumhttps://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-73650620327014939212014-02-12T19:43:12.963+00:002014-02-12T19:43:12.963+00:00Sue,
I think the data was presented as a problem ...Sue,<br /> I think the data was presented as a problem to be analyzed in conjunction with the numeracy testing. <br /> I don't know if they told them it was actual research data or simulated, but either way, I'm not sure that "deciding the data was wrong" doesn't seem like political bias to me. They seemed to have no such questions about face-cream. The pattern of wrong data followed very political, not mathematical patterns. <br />Pat Ballewhttps://www.blogger.com/profile/15234744401613958081noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-67772239251270133302014-02-12T18:33:42.218+00:002014-02-12T18:33:42.218+00:00"he gave identical numerical data supposedly ..."he gave identical numerical data supposedly coming from an actual survey"<br /><br />In other words, he lied to the subjects. Did it say in their consent forms that they might be lied to? Maybe some of them (on both sides) were using reason, and deciding that the data was wrong. (Like we do when a die comes up heads too many times.)Sue VanHattumhttps://www.blogger.com/profile/10237941346154683902noreply@blogger.com