tag:blogger.com,1999:blog-8231784566931768362.post1697682988022075889..comments2021-06-16T05:56:38.112-04:00Comments on MathNotations: The Product of a 40-Digit Integer and a 60-Digit Integer has ___ or ___ Digits. A Problem for the Calculating Middle School Mind!Dave Marainhttp://www.blogger.com/profile/13321770881353644307noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-8231784566931768362.post-7105773106605765232008-12-04T10:18:00.000-05:002008-12-04T10:18:00.000-05:00Yup, I'm a lot older than you. TC!! Characteristic...Yup, I'm a lot older than you. TC!! Characteristic polynomials and linear algebra are interesting connections, but I'm reaching even further back!<BR/><BR/>Look <A HREF="http://kr.cs.ait.ac.th/~radok/math/mat1/mat147.htm" REL="nofollow">here! </A><BR/>Now to really get punny we should bring Lincoln into this -- the great "LOG" splitter. Ugh...Dave Marainhttps://www.blogger.com/profile/13321770881353644307noreply@blogger.comtag:blogger.com,1999:blog-8231784566931768362.post-51337463752673349352008-12-04T08:45:00.000-05:002008-12-04T08:45:00.000-05:00I don't know what this says about my age :-), but ...I don't know what this says about my age :-), but my reaction to Dave's "characteristic" comment was to think of characteristic functions, and how I could express the two numbers as polynomials in x, and what the coefficient of the highest degree in the product would be ...<BR/><BR/>TCAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-8231784566931768362.post-66636099834978026782008-12-03T06:12:00.000-05:002008-12-03T06:12:00.000-05:00Pat,Did you find any old BONES lying around! Serio...Pat,<BR/>Did you find any old BONES lying around! Seriously, it might be worth having students rediscover Napier's Bones just to see that lattice multiplication wasn't invented by Everyday Math! The excellent <A HREF="http://en.wikipedia.org/wiki/Napier's_bones" REL="nofollow">Wikipedia article </A> actually demonstrates how his invention (similar to an abacus) was used for products, quotients and even square roots - fascinating stuff...<BR/>Thanks for reminding me of that!Dave Marainhttps://www.blogger.com/profile/13321770881353644307noreply@blogger.comtag:blogger.com,1999:blog-8231784566931768362.post-22948894921889394912008-12-03T03:21:00.000-05:002008-12-03T03:21:00.000-05:00Dave, You may get a LOG-jam of bad puns now.... (s...Dave,<BR/> You may get a LOG-jam of bad puns now.... (side-bar,.. funny how things line up.... I was just this weekend up to Napier's home in Edinburgh)<BR/>PatPat's Bloghttps://www.blogger.com/profile/15234744401613958081noreply@blogger.com