tag:blogger.com,1999:blog-3748625510348961342.comments2021-05-23T06:35:53.036-07:00solidangl.esBill Shillitohttp://www.blogger.com/profile/17774101901445053590noreply@blogger.comBlogger43125tag:blogger.com,1999:blog-3748625510348961342.post-61021202283939314662021-05-23T06:35:53.036-07:002021-05-23T06:35:53.036-07:00I have read all the comments and suggestions poste...I have read all the comments and suggestions posted by the visitors for this article are very fine,We will wait for your next article so only.Thanks! <a href="https://luxe-online.biz/%E3%82%B3%E3%83%AD%E3%83%8A%E6%99%82%E4%BB%A3%E3%81%AB%E6%B3%A8%E7%9B%AE%E3%81%AE%E3%83%8F%E3%82%A4%E3%83%AA%E3%82%BF%E3%83%BC%E3%83%B3%E6%8A%95%E8%B3%87%E8%A1%93%E2%80%95-%E3%81%93%E3%82%8C-2/" rel="nofollow">増田裕介</a><br />sameehttps://www.blogger.com/profile/05005318106666448787noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-64974797192727606862021-05-05T01:13:16.336-07:002021-05-05T01:13:16.336-07:00The internet finally fulfilled one of its great pr...The internet finally fulfilled one of its great promises: People are making money by selling products on the ecommerce websites. If you're new to ecommerce, or selling products and services on the internet, read on. This article explains how to choose an ecommerce shopping cart solution for your online business. <a href="https://checkprice.com.bd" rel="nofollow">laptop</a><br />MueedAk1https://www.blogger.com/profile/06236776084132756142noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-91259511543515275002021-03-25T17:13:45.167-07:002021-03-25T17:13:45.167-07:00I've never learned the term "pole", ...I've never learned the term "pole", despite getting a degree in math, so I had to look it up. Apparently at some point I forgot that "asymptote" means something more general.<br /><br />Pole - The point on the x-axis of a vertical asymptote; a singularity of the function<br />Asymptote - Any line the function gets arbitrarily close to without touching<br /><br />It seems odd that neither mathworld nor math wiki mention either term in the other's page<br />https://mathworld.wolfram.com/Pole.html - https://mathworld.wolfram.com/Asymptote.html<br />https://math.wikia.org/wiki/Pole - https://math.wikia.org/wiki/Asymptote<br /><br />The one search result that also uses the relationship is from another course<br />https://ocw.mit.edu/courses/mathematics/18-03sc-differential-equations-fall-2011/unit-iii-fourier-series-and-laplace-transform/poles-amplitude-response-connection-to-erf/MIT18_03SCF11_s31_1text.pdf<br />ShadSterlinghttps://www.blogger.com/profile/03239616723077338092noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-42659981772123968222021-02-10T16:10:57.351-08:002021-02-10T16:10:57.351-08:00This is a really great wrap up! Thank you!This is a really great wrap up! Thank you!Anonymoushttps://www.blogger.com/profile/03628950841404344044noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-9231415340383973192020-10-09T23:57:50.874-07:002020-10-09T23:57:50.874-07:00This looks great. Also, I would recommend Triangle...This looks great. Also, I would recommend Triangle of Power https://math.stackexchange.com/a/165225/834579Anonymoushttps://www.blogger.com/profile/00711588868807718216noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-85290690737649547322020-09-14T15:44:07.885-07:002020-09-14T15:44:07.885-07:00I agree 100%! Teaching students to put their under...I agree 100%! Teaching students to put their understanding in words is much more valuable than teaching them something that will have zero use for them after they leave your class. <br />These "proofs", along with flowchart proofs, are math teacher crutches to avoid making us read and give feedback on written work. We feel like we're unqualified to teach that skill, so we avoid it. We're not doing anyone a service by maintaining the myth that mathematics is only explainable with symbols. We need them to use words.<br />Anonymoushttps://www.blogger.com/profile/12293578877127986276noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-12369050450453704572020-05-23T07:15:06.534-07:002020-05-23T07:15:06.534-07:00i am browsing this website dailly , and get nice f...i am browsing this website dailly <a href="http://www.univ-mosta.dz" rel="nofollow">,</a> and get nice facts from here all the time <a href="http://www.univ-mostaganem.edu.dz" rel="nofollow">.</a>midouhttps://www.blogger.com/profile/00313347688804640874noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-16003485843488349392019-12-28T00:47:16.707-08:002019-12-28T00:47:16.707-08:00This website and I conceive this internet site is ...This website and I conceive this internet site is really informative ! Keep on putting up!<br /><a href="https://trigidentities.info/" rel="nofollow">trig identities</a>adminhttps://www.blogger.com/profile/13323492266485625127noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-25887009276080497052019-09-15T21:45:08.159-07:002019-09-15T21:45:08.159-07:00Thanks!
Thanks!<br />Anonymoushttps://www.blogger.com/profile/15032475414939618795noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-12791773299282368972019-02-04T09:07:12.650-08:002019-02-04T09:07:12.650-08:00Do you have clips of the Jeopardy mistakes, or the...Do you have clips of the Jeopardy mistakes, or the air dates so I can try and find them? I would love to show the clips in my class when we learn the related material.Anonymoushttps://www.blogger.com/profile/04689909346880729547noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-22618964839282006662018-10-03T04:54:06.081-07:002018-10-03T04:54:06.081-07:00Thanks for info!Thanks for info!Anonymoushttps://www.blogger.com/profile/04613150274857338834noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-59675803824458947692018-09-24T23:37:59.498-07:002018-09-24T23:37:59.498-07:00Ah - you are dealing with value creation, and you ...Ah - you are dealing with value creation, and you have just encountered the critical issue of 'synergy.' You might care to address the issues of maths, economics and value creation some time (gaining a Nobel Prize for progressing us beyond Adam Smith and Karl Marx in the process).Anonymoushttps://www.blogger.com/profile/11013377373368699963noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-6075066974529262182018-09-21T18:54:18.410-07:002018-09-21T18:54:18.410-07:00I'm apparently very late to the party but I ab...I'm apparently very late to the party but I absolutely love this idea. I came up with some really nice LaTeX code for it:<br />\raisebox{\depth}{\scalebox{1}[-1]{$\sqrt[\raisebox{\depth}{\scalebox{1}[-1]{\tiny{2}}}]{\raisebox{\depth}{\scalebox{1}[-1]{16}}}$}}Iyan Siwikhttps://www.blogger.com/profile/06005006477287388259noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-22406083989848418652018-02-12T23:47:58.559-08:002018-02-12T23:47:58.559-08:00Welcome back! I hate these things too. And I don&#...Welcome back! I hate these things too. And I don't even have the option not to teach them. Quintopiahttps://www.blogger.com/profile/11935053984682797775noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-1012266931130571012017-12-21T13:23:08.447-08:002017-12-21T13:23:08.447-08:00I love your symbol, and will start using it next s...I love your symbol, and will start using it next semester. I made a bit of Latex code for "log base 2 of 8": \raisebox{.7mm}{\reflectbox{\rotatebox[origin=c]{180}{\Large{$\sqrt{~~}$}}}}$\hspace{-.6cm}{\mbox{\tiny 2}}\hspace{.2cm} 8$<br /><br />To see the compiled image: https://drive.google.com/file/d/1zYqnIFDfsrO-MMQCjI09m_rwmQhqIUfj/view?usp=sharingLynne Ipiñahttps://www.blogger.com/profile/02298838629222120903noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-29002947766656199212017-11-29T19:13:05.351-08:002017-11-29T19:13:05.351-08:00I'm not sure any computer scientist would cons...I'm not sure any computer scientist would consider it more natural than e, it's just useful for many purposes.Anonymoushttps://www.blogger.com/profile/03209130188845063324noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-26644066691633581212016-12-31T10:34:22.028-08:002016-12-31T10:34:22.028-08:00Excellent article! I'd like to see you extend ...Excellent article! I'd like to see you extend the examples to include division and multiplication as well. It may be difficult to deal with division as something that's simple to understand as shorthand for something. 6 / 2 is short hand for 6 * 1/2 but students certainly are not used to that view. And the notion of left to right is important to include as a 3rd thing to remember since subtraction and division are not commutative.<br /><br />Anonymoushttps://www.blogger.com/profile/12615009252327101120noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-91934163931358797822016-12-26T03:02:04.392-08:002016-12-26T03:02:04.392-08:00I hate to say this but what is the ACTUAL function...I hate to say this but what is the ACTUAL function to solve the problem you propose because the problem in today's world is no one has a FUNCTION to solve problems efficiently.Amuro Kazamahttps://www.blogger.com/profile/17142044174072293847noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-48773914876427939792016-06-29T21:41:36.795-07:002016-06-29T21:41:36.795-07:00Why stopping at the + x exp relation, why not keep...Why stopping at the + x exp relation, why not keep going the pattern with the relations due the Conway chained arrow notation? With these simple relations, computation of the V of parallel wires was obtained, it was something nice! Maybe something deeper may happen if the system is generalized.Daniel de França MTd2https://www.blogger.com/profile/01281817409696805377noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-9382962772830697412016-02-02T18:26:11.335-08:002016-02-02T18:26:11.335-08:00I just ran it to this post via another website. I...I just ran it to this post via another website. I am glad to see an article about alternatives to PEMDAS. For several years, I stopped using PEMDAS in my sixth grade classroom and their misconceptions like adding before all subtraction, went away completely. Well, until one of the kids came to class having his older brother help him with his homework. Suddenly he was making so many mistakes. I asked him what his brother did to "help" him and he answered "PEMDAS." I recently got all the other teachers at my school onboard with dropping PEMDAS and our scores on order of operations went up tremendously. I didn't know anyone else used GEMA. Again, like you said, it really isn't necessary to use any mnemonic at all, but it was the only way to get some to drop PEMDAS. Lovely article!LD Helferhttps://www.blogger.com/profile/15362613994636151867noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-13261392684388020082015-11-14T12:02:54.975-08:002015-11-14T12:02:54.975-08:00As the author wisely noted at the end of his artic...As the author wisely noted at the end of his article, it never hurts to have too many parentheses! <br />/Bravo, --problem eliminated!Lonewolf™https://www.blogger.com/profile/17592367417704960634noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-31773975960037273592015-08-16T09:00:27.189-07:002015-08-16T09:00:27.189-07:00Love it!Love it!Paul Ohttps://www.blogger.com/profile/06294340052733992008noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-18584089043896129122015-05-20T14:16:29.116-07:002015-05-20T14:16:29.116-07:00A computer scientist might argue "2" is ...A computer scientist might argue "2" is the "natural" logarithm base (anything binary). <br /><br />PS: damn this commenting system is weird.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-66242648144597530652015-04-29T18:21:13.317-07:002015-04-29T18:21:13.317-07:00Interesting idea, but I'm not at all a fan of ...Interesting idea, but I'm not at all a fan of that "visual cancellation rule" as phrased. There's no real mathematical reason behind it - it's all smoke and mirrors, which is pedagogically dangerous. You're relying on the "b^\b^" resembling a fraction that "cancels" to be 1, after which a multiplication sign magically appears next to the exponent. Math should be logical, not magical. Cancelling things is ubiquitous, sure, but you have to know *why* it works.<br /><br />That being said, I would be interested in seeing a linear form of the radical symbol and my reflected version of it.Bill Shillitohttps://www.blogger.com/profile/17774101901445053590noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-25252635717616844032015-04-29T17:42:35.800-07:002015-04-29T17:42:35.800-07:00Great idea. I had been searching for a notation t...Great idea. I had been searching for a notation that could be "typed" in linear text form. To that end, I had played around with combinations of the caret ^ and forward and reverse diagonals / \<br /><br />Given the linear notation for power:<br /><br />Power: b ^ e = p<br /><br />For root, I suggest the symbol ^/ (caret, slash):<br /><br /> p ^/ e = (b^e) ^/ e = b<br /><br />My root notation represents an "abbreviation" of the identity: e-th root of p equals p to the power 1/e,<br />that is: (b^e) ^/e represents (b^e) ^ (1/e) = b ^ (e * 1/e) = b ^ 1 = b<br /><br />But to get this advantage, I must reverse the order of base and power in the traditional notation.<br /><br />So, in similar vein, your log symbol could be represented by the symbol: ^\ (caret, back-slash):<br /><br />log: logb(p) = b ^\ p = b^\ (b^e) = e<br /><br />This is suggestive of a "visual cancellation rule" <br />b^\ (b^ e) "equals" ( b^ \ b^) e "equals" 1 * e = e.Anonymoushttps://www.blogger.com/profile/11397759210330425019noreply@blogger.com