tag:blogger.com,1999:blog-2433841880619171855.comments2024-03-17T00:36:09.175+00:00Pat'sBlogUnknownnoreply@blogger.comBlogger1252125tag:blogger.com,1999:blog-2433841880619171855.post-29797764667536392952024-03-05T19:11:07.079+00:002024-03-05T19:11:07.079+00:00I think your day of the year might be off by one b...I think your day of the year might be off by one because of the leap year. Continue to love your site and read it almost every day.Patrickhttps://www.blogger.com/profile/12361329093650973354noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-63792024685007041632024-02-12T07:07:50.607+00:002024-02-12T07:07:50.607+00:00I like your article. I'm pleased to declare th...I like your article. I'm pleased to declare that your writing is extremely informative. I never stop myself from talking about it.<a href="https://princewilliamvirginiaduilawyer.com/prince-william-county-criminal-attorney" rel="nofollow">prince william county criminal attorney</a><br /><br /><br />susanhttps://www.blogger.com/profile/15425238245999726677noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-75611765454130776902024-01-24T08:29:09.826+00:002024-01-24T08:29:09.826+00:00I think the statpics blog stopped posting because ...I think the statpics blog stopped posting because its owner Dr.Robert W. Jernigan passed away on January 16, 2018, R.I.P.antareshttps://www.blogger.com/profile/09032874277407112193noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-72593789584605707832023-12-16T05:39:10.873+00:002023-12-16T05:39:10.873+00:00just wondering if you have ever checked back on th...just wondering if you have ever checked back on this blog? I have an interesting new way to get within a half a degree or less of trisecting any angle and I am looking for someone to collaborate with. timhochstetler6@gmail.comtrisecting those angleshttps://www.blogger.com/profile/05530225942989815660noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-40840082302332548922023-12-15T04:33:59.040+00:002023-12-15T04:33:59.040+00:00Thank you for providing such an informative blog. ...Thank you for providing such an informative blog. Choose our <a href="https://ziyyara.com/online-tuition-for-history" rel="nofollow">online tuition for history</a>, at Ziyyara. With Ziyyara's convenient online platform, you can easily schedule personalized one-on-one sessions, ask questions, and receive detailed explanations. Say goodbye to dull textbooks and hello to dynamic online tuition with Ziyyara.<br />Visit Ziyyara.com or contact us at +91 9654271931<br />Shreya SHhttps://www.blogger.com/profile/08421010630342460894noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-10182560915323403802023-12-02T10:09:40.413+00:002023-12-02T10:09:40.413+00:00Hi Pat:
You write:
"But if we look at a gra...Hi Pat:<br /><br />You write:<br /><br />"But if we look at a graph of a quadratic with complex roots, we don't see any such distance to each side of the axis of symmetry....but we can... using a method that may have first been suggested in Howard F. Fehr, "Graphical Representation of Complex Roots," 'Multi-Sensory Aids in the Teaching of Mathematics', 'Eighteenth Yearbook of the National Council of Teachers of mathematics' [1945] pp. 130-138."<br /><br />I've been trying to access this article by Fehr but I have not been able to locate it. I have access to the JSTOR archive through my University—but the referenced article above does not show up. Do you have a PDF of this article?<br /><br />Also, I was going to send a comment to you on LinkedIn but, although you follow me, you have not accepted my connection request.<br /><br />Cheers,<br />Paul AbbottRiemannZetaZerohttps://www.blogger.com/profile/01437218362228076238noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-13569047093327549922023-11-18T10:20:52.195+00:002023-11-18T10:20:52.195+00:00Thank you for sharing this informational article.E...<br />Thank you for sharing this informational article.Embark on a journey of possibilities as you step into the world of endless <a href="https://www.vglearningdestination.com/course/blog-career-choice-after-12th-commerce" rel="nofollow">best career options after 12th commerce</a>. Discover pathways that merge your passion with practicality, shaping a future where every day feels like a triumph. From financial wizards to creative minds shaping marketing marvels, the realm of commerce unfolds a tapestry of diverse careers. VG Learning Destinationhttps://www.blogger.com/profile/15559354548959024320noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-30438542178232281292023-11-03T01:19:42.233+00:002023-11-03T01:19:42.233+00:00You have a lot of good and very interesting inform...You have a lot of good and very interesting information.<br />You have a typo where you have spelt mathematics as matehmatics in "digit".DanThttps://www.blogger.com/profile/05021558183081126624noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-91328911162769847562023-10-25T08:42:11.518+01:002023-10-25T08:42:11.518+01:00I was truly impressed by your post and the manner ...I was truly impressed by your post and the manner in which you articulated your passions and particulars. It deeply connected with me, as I derive immense pleasure from life's small moments. If you're currently grappling with the challenges of academic studies, remember that <a href="https://www.helpassignmentonline.com/" rel="nofollow">assignment help</a> Services stands ready to provide a helping hand. Our team of seasoned experts is poised to craft customized assignment solutions tailored precisely to your requirements. Reach out to us today to gain insight into our array of services and empower us to assist you in conquering your academic assignments.olsen lisahttps://www.blogger.com/profile/10396010412721518730noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-36574886357140399392023-10-06T16:19:48.352+01:002023-10-06T16:19:48.352+01:00Others have hinted along these lines but I haven&#...Others have hinted along these lines but I haven't seen it so...the reason more complex inscribed regular polygons approximate the circle better should be thought of as being because there are more vertices, not because there are more sides. Sides <> vertices in other dimensions.<br /><br />Hence, for volume ratio, the more vertices in the inscribed dodechedron, which happens to have fewer sides, win out over the fewer vertices in the inscribed icosahedron, which happens to have more sides.<br /><br />Of course as you all have indicated, for circumscribed polyhedra, it is the opposite...herdadrehhttps://www.blogger.com/profile/17367829303632269996noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-49456441284761652032023-10-06T16:15:34.913+01:002023-10-06T16:15:34.913+01:00This comment has been removed by the author.herdadrehhttps://www.blogger.com/profile/17367829303632269996noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-36823890413624738502023-08-28T16:48:40.297+01:002023-08-28T16:48:40.297+01:00Thank you for sharing this informative post. As a ...Thank you for sharing this informative post. As a parent, I found it very helpful and up-to-date. It's important to stay informed for the sake of our children's well-being.<br /><a href="https://alohamindmath.com/benefits-of-abacus-learning-classes-for-kids/" rel="nofollow">abacus learning for kids</a>yaminihttps://www.blogger.com/profile/01235356517198051184noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-8829621263931001402023-07-14T20:31:21.113+01:002023-07-14T20:31:21.113+01:00Nice article! I was just looking at geometry probl...Nice article! I was just looking at geometry problems solved with inversion in circles and I found this. Very interesting!fffffhttps://www.blogger.com/profile/04947122328228434854noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-67181369441395190522023-06-27T15:22:41.186+01:002023-06-27T15:22:41.186+01:00Wow! This blog post is truly amazing and valuable....Wow! This blog post is truly amazing and valuable. The author clearly knows a lot about the subject and has shared a lot of helpful information. I really appreciate how they made complex ideas easy to understand and interesting. I'm excited to read more posts in the future and see what other great things they have to share. Keep up the excellent work and thank you for teaching me new things!<br /><a href="https://srislaw.com/licencia-conducir-suspendida-delito-menor-nueva-jersey/" rel="nofollow">Licencia Conducir Suspendida Delito Menor Nueva Jersey</a><br />jamesandersonhttps://www.blogger.com/profile/14979482701770559263noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-13269662061046265272023-05-04T08:14:28.607+01:002023-05-04T08:14:28.607+01:00When I was in high school (1979 or 1980) my maths ...When I was in high school (1979 or 1980) my maths professor told us about that method. He told us too that we could not use it unless we were able to prove it... (I never managed to do it, except in some special cases).mau.https://www.blogger.com/profile/09641196427325175260noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-67417366121662924292023-04-26T06:45:07.379+01:002023-04-26T06:45:07.379+01:00Hey There. I found your blog. This is a really wel...Hey There. I found your blog. This is a really well written article. Hey There. I found your blog. This is a really well written article.Andrew Tysonhttps://www.blogger.com/profile/05731218054732990621noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-15078380289088232532023-04-18T21:19:51.834+01:002023-04-18T21:19:51.834+01:00That limerick (which as quoted does not scan) is b...That limerick (which as quoted does not scan) is borrowed from the one written about CH Dodd:<br /><br />I think it exceedingly odd<br />That a little professor named Dodd<br /> Should spell, if you please,<br /> His name with three D's<br />When one is sufficient for God<br />Harry Campbellhttps://www.blogger.com/profile/01675794936870568336noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-40244897571760305882023-04-18T14:18:24.670+01:002023-04-18T14:18:24.670+01:00This seems like a cool game. What is the signific...This seems like a cool game. What is the significance of the chart at the top of the post? I can't seem to figure out how it's related. Thanks.Patrickhttps://www.blogger.com/profile/12361329093650973354noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-22070844638282891752023-04-17T15:04:17.815+01:002023-04-17T15:04:17.815+01:00sorry. you are right: 3+1+4+1+5+9+2+6+5+3+5+8+9+7+...sorry. you are right: 3+1+4+1+5+9+2+6+5+3+5+8+9+7+9+3+2+3+8+4+6+2+6+4+3+3+8+3+2+7+9+5+0+2+8+8+4+1+9+7+1+6+9+3+9+9+3+7+5+1+0+5+8+2+0+9+7+4+9+4+4+5+9+2+3+0+7+8+1+6+4+0+6+2+8+6+2+0+8+9+9+8+6+2+8+0+3+4+8+2+5+3+4+2+1+1+7+0+6+7+9+8+2+1+4+8+0 = 503 is primeHumberto Bortolossihttps://www.blogger.com/profile/08218059136324543967noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-3022969085401422142023-04-17T14:32:18.839+01:002023-04-17T14:32:18.839+01:00there is a mistake. the sum of the first 107 digit...there is a mistake. the sum of the first 107 digitsof pi is not prime since<br /><br />3+1+4+1+5+9+2+6+5+3+5+8+9+7+9+3+2+3+8+4+6+2+6+4+3+3+8+3+2+7+9+5+0+2+8+8+4+1+9+7+1+6+9+3+9+9+3+7+5+1+0+5+8+2+0+9+7+4+9+4+4+5+9+2+3+0+7+8+1+6+4+0+6+2+8+6+2+0+8+9+9+8+6+2+8+0+3+4+8+2+5+3+4+2+1+1+7+0+6+7+9+8+2+1+4+8+1= 504<br /><br />is an even number.Humberto Bortolossihttps://www.blogger.com/profile/08218059136324543967noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-32864852226197996682023-04-17T09:44:23.606+01:002023-04-17T09:44:23.606+01:00This comment has been removed by the author.Social media serviceshttps://www.blogger.com/profile/00203220431833882026noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-71045088699965052572023-04-13T19:15:22.450+01:002023-04-13T19:15:22.450+01:00I totally love this for my middle schoolers who al...I totally love this for my middle schoolers who all take Algebra over two years (not my recipe, and I have thoughts, however, I forge forth).<br /><br />How do students know the number is prime? Do they look it up? How does one know a number is prime when it gets large?<br /><br />Thanks, AmyAnonymoushttps://www.blogger.com/profile/07156390051413312467noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-80646658891391567022023-04-05T13:58:31.169+01:002023-04-05T13:58:31.169+01:00Thanks a ton.I learnt a lot from your blog and thi...Thanks a ton.I learnt a lot from your blog and this post.Amarhttps://www.blogger.com/profile/16080039005422702136noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-78294463454859049182023-03-28T15:27:03.245+01:002023-03-28T15:27:03.245+01:00Product of four successive natural numbers is one...Product of four successive natural numbers is one less than a perfect square!<br /> n* ( n+1)*( n+2)* ( n+3)= n* {( n^3) +(1+2 +3) * n^2+ ( 1*2 +2*3+3*1)* n+ 1*2*3}<br />= n^4+ 6* n^3+11*n^2+6*n+1-1= ( n^2 +3*n+1)^2-1;<br />If n=1 ;<br />Then 1*2*3*4 4!=5^2-1;<br />If n=2 Then this product=2*3*4*5=1*2*3*4*5=5!=11^2-1DEB JYOTI MITRAhttps://www.blogger.com/profile/17354232756079817530noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-89282390940152944312023-03-20T20:13:13.512+00:002023-03-20T20:13:13.512+00:00Hi, Pat. I know this is an old post, but if you se...Hi, Pat. I know this is an old post, but if you see this, take a minute to read Ch. 21 in the Gospel of John--maybe the most Pythagorean chapter in the bible?Numbers are realhttps://www.blogger.com/profile/04265120267715845575noreply@blogger.com