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http://www.sitemaps.org/schemas/sitemap/0.9/sitemap.xsd"><url><loc>https://truebeautyofmath.com/books/</loc><lastmod>2017-06-28T14:41:40+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-6-functions-2/</loc><lastmod>2016-01-08T18:33:55+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-5-a-paradox/</loc><lastmod>2017-12-08T16:55:19+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/learning-mathematics/</loc><lastmod>2017-07-02T20:14:05+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-35-like-riding-a-bicycle/</loc><lastmod>2015-12-07T06:20:23+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-36-solutions/</loc><lastmod>2015-12-07T06:17:51+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-36-the-generators/</loc><lastmod>2015-12-07T06:04:44+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-4-sets-of-sets/</loc><lastmod>2017-05-16T05:46:04+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-3-subsets/</loc><lastmod>2016-01-29T22:11:40+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-2/</loc><lastmod>2016-06-21T14:15:02+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/learning-mathematics/lesson-1/</loc><lastmod>2017-07-06T16:24:19+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/2015/11/13/as-promised-another-new-lesson/</loc><lastmod>2015-11-13T14:54:01+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/lesson-34-solutions/</loc><lastmod>2015-11-13T04:36:01+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-34-like-clockwork/</loc><lastmod>2015-11-13T04:35:29+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/2015/11/10/new-lesson-finally/</loc><lastmod>2015-11-10T15:41:02+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/lesson-32-solutions/</loc><lastmod>2015-11-10T04:58:15+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-31-solutions/</loc><lastmod>2015-11-10T04:57:18+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/errata-for-the-true-beauty-of-math-volume-1/</loc><lastmod>2015-10-09T19:42:36+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/2015/10/03/the-book-is-available/</loc><lastmod>2017-10-02T17:15:12+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/2015/09/27/upcoming-book/</loc><lastmod>2015-09-28T21:51:02+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/lesson-10-infinity-times-2/</loc><lastmod>2017-08-16T17:26:57+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-14-infinity-infinities/</loc><lastmod>2015-03-04T15:58:20+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-8-bijectivity-and-counting/</loc><lastmod>2015-02-01T05:28:19+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/2014/11/05/the-mathematical-double-standard/</loc><lastmod>2014-11-13T05:22:59+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/contact-me/</loc><lastmod>2015-11-18T04:32:57+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-32-new-functions-from-old-pt-2/</loc><lastmod>2014-10-03T15:55:54+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-33-homomorphisms-pt-2-into-abstraction/</loc><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2014/03/lesson31-page-001-e1395698077463.jpg</image:loc><image:title>Lesson31-page-001</image:title><image:caption>figure 1</image:caption></image:image><lastmod>2015-11-12T02:07:56+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/about-me/</loc><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2012/09/blog3.jpeg</image:loc><image:title>Blog3</image:title></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2012/09/blog2.jpeg</image:loc><image:title>Blog2</image:title></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2012/09/blog1.jpeg</image:loc><image:title>Studying for finals</image:title><image:caption>This is where cool stuff goes</image:caption></image:image><lastmod>2018-10-05T17:44:14+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/powerful-definitions/</loc><lastmod>2014-09-21T03:50:22+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-homomorphism-group/</loc><lastmod>2014-09-21T03:48:05+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-composition-of-functions/</loc><lastmod>2015-10-07T23:03:03+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/the-language-of-nature/</loc><lastmod>2014-08-24T15:50:48+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-30-homomorphisms-moving-between-groups/</loc><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2014/01/homomorphism1.png</image:loc><image:title>homomorphism1</image:title><image:caption>figure 2</image:caption></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2014/01/function1.png</image:loc><image:title>function1</image:title></image:image><lastmod>2014-03-25T21:54:41+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-31-new-functions-from-old-pt-1/</loc><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2014/03/functionpicture2-page-001.jpg</image:loc><image:title>functionPicture2-page-001</image:title><image:caption>figure 2</image:caption></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2014/03/functionpicture1-page-001.jpg</image:loc><image:title>functionPicture1-page-001</image:title><image:caption>figure 1</image:caption></image:image><lastmod>2014-03-25T21:54:19+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-30-solutions/</loc><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2014/01/homomorphism2.png</image:loc><image:title>homomorphism2</image:title><image:caption>figure 1</image:caption></image:image><lastmod>2014-02-06T22:35:45+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-29-solutions/</loc><lastmod>2014-02-06T22:14:05+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-29-group-constructions-subgroups-finale/</loc><lastmod>2014-02-06T22:13:38+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-27-subgroups/</loc><lastmod>2014-01-27T15:46:42+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-modular-arithmetic/</loc><lastmod>2014-01-10T01:00:52+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/2014/01/07/why-i-love-math-pt-1/</loc><lastmod>2014-01-10T01:02:10+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/lesson-28-group-constructions-subgroups-part-deuce/</loc><lastmod>2013-11-30T23:59:51+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-28-solutions/</loc><lastmod>2013-11-30T23:59:19+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/2013/11/23/solutions-starting-to-surface/</loc><lastmod>2013-11-23T15:00:27+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/lesson-17-more-constructions/</loc><lastmod>2014-05-12T17:37:03+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-11-infinity-times-infinity/</loc><lastmod>2017-11-06T18:59:48+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/2013/08/11/from-notes-to-book/</loc><lastmod>2013-11-02T17:43:48+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/definition-subgroup/</loc><lastmod>2013-10-08T20:07:02+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/2013/09/18/first-edition-of-book-is-now-up/</loc><lastmod>2013-09-18T16:00:38+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/lesson-27-solution/</loc><lastmod>2015-03-02T03:37:22+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-26-cool-groups-pt-3-dihedral-groups/</loc><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/06/dihedralsquare7-1.jpg</image:loc><image:title>6</image:title><image:caption>6</image:caption></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/06/regpolygons.jpg</image:loc><image:title>RegularPolys</image:title><image:caption>figure 2:  Regular polygons</image:caption></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/06/irregpolygon.jpeg</image:loc><image:title>IrregPolygon</image:title><image:caption>figure 1: An irregular polygon.</image:caption></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/05/dihedralsquare8-1.gif</image:loc><image:title>3</image:title><image:caption>3</image:caption></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/05/dihedralsquare7-1.gif</image:loc><image:title>dihedralsquare7-1</image:title></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/05/dihedralsquare6-1.gif</image:loc><image:title>8</image:title><image:caption>8</image:caption></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/05/dihedralsquare5-1.gif</image:loc><image:title>7</image:title><image:caption>7</image:caption></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/05/dihedralsquare4-1.gif</image:loc><image:title>4</image:title><image:caption>4</image:caption></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/05/dihedralsquare3-1.gif</image:loc><image:title>3</image:title><image:caption>3</image:caption></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/05/dihedralsquare2-1.gif</image:loc><image:title>2</image:title><image:caption>2</image:caption></image:image><lastmod>2013-08-26T21:36:44+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-23-solution/</loc><lastmod>2013-11-20T16:00:59+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-25-get-your-hair-did/</loc><lastmod>2013-08-06T22:36:52+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/2013/08/02/my-absence/</loc><lastmod>2013-08-03T19:26:55+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/note-on-notation/</loc><lastmod>2014-07-13T16:14:01+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-24-solutions/</loc><lastmod>2013-06-24T22:50:34+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-24-cool-groups-pt-1-permutations/</loc><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/06/permgroup5.png</image:loc><image:title>PermGroup5</image:title><image:caption>figure 5</image:caption></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/06/permgroup4.png</image:loc><image:title>PermGroup4</image:title><image:caption>figure 4</image:caption></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/06/permgroup3.png</image:loc><image:title>PermGroup3</image:title><image:caption>figure 3</image:caption></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/06/permgroup2.png</image:loc><image:title>PermGroup2</image:title><image:caption>figure 2</image:caption></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/06/permgroup1.png</image:loc><image:title>PermGroup1</image:title><image:caption>figure 1: a 4-element set</image:caption></image:image><lastmod>2015-08-24T06:47:17+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/interactive-interlude-3-my-ideas/</loc><lastmod>2013-06-10T10:00:45+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-23-more-fun-with-groups/</loc><lastmod>2014-05-20T15:44:18+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/interactive-interlude-3/</loc><lastmod>2013-06-03T23:12:57+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/2013/05/27/your-sixth-sense/</loc><lastmod>2013-05-27T20:34:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/interactive-interlude-1-my-ideas/</loc><lastmod>2013-05-21T22:10:16+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-22-giving-life-to-sets/</loc><lastmod>2015-11-06T15:34:12+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-group/</loc><lastmod>2013-05-21T21:18:20+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-22-solution/</loc><lastmod>2013-05-19T20:54:12+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-21-the-necessity-of-irrationality/</loc><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/04/right_triangle.gif</image:loc><image:title>Right Triangle</image:title><image:caption>Figure 1: a^2+b^2=c^2</image:caption></image:image><lastmod>2015-04-03T17:24:32+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/quick-recap-of-notation/</loc><lastmod>2013-05-18T09:50:27+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-20-reconsidering-high-school-algebra/</loc><lastmod>2013-04-27T15:09:46+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/2013/04/20/the-three-worlds/</loc><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/04/threeworlds.jpg</image:loc><image:title>Three Worlds</image:title><image:caption>Figure 1  (Drawn by Roger Penrose himself)</image:caption></image:image><lastmod>2014-07-13T12:31:30+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/lesson-19-done-it-once-done-it-a-thousand-times/</loc><lastmod>2013-04-18T22:04:14+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/about/</loc><lastmod>2013-04-17T18:05:01+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-18-more-constructions-pt-2/</loc><lastmod>2013-04-14T14:14:27+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/interactive-interlude-1-my-ideas-2/</loc><lastmod>2013-04-13T14:43:53+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/interactive-interlude-1-2/</loc><lastmod>2013-04-13T14:29:59+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/interactive-interlude-1/</loc><lastmod>2013-04-13T14:51:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-disjoint-union/</loc><lastmod>2017-11-06T18:57:52+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-18-solutions/</loc><lastmod>2013-04-11T22:03:29+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/what-is-mathematics/</loc><lastmod>2014-10-29T21:58:26+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/2012/09/11/what-is-mathematics/</loc><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2012/09/blog4.gif</image:loc><image:title>Awesome Math Quote</image:title><image:caption>So true.</image:caption></image:image><lastmod>2013-04-10T19:31:58+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/definition-cartesian-product/</loc><lastmod>2013-04-09T22:25:01+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-7-solutions/</loc><lastmod>2015-03-24T23:08:02+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-17-solutions/</loc><lastmod>2013-04-06T15:38:45+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-16-unions-and-intersections-new-from-old/</loc><lastmod>2014-05-14T19:05:17+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-16-solutions/</loc><lastmod>2013-04-06T15:03:11+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-4-solutions/</loc><lastmod>2016-06-08T14:51:59+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-2-solution/</loc><lastmod>2019-06-13T16:20:07+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-3-solutions/</loc><lastmod>2013-04-05T10:48:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-intersection/</loc><lastmod>2013-03-28T12:24:14+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-union/</loc><lastmod>2013-03-26T21:49:18+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-cardinality/</loc><lastmod>2013-03-26T21:48:41+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-9-counting-infinity-pt-1/</loc><lastmod>2014-07-15T05:56:21+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-7-injective-surjective-bijective/</loc><lastmod>2016-08-12T10:51:57+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-prime-numbers/</loc><lastmod>2013-03-26T16:04:33+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-surjective-function/</loc><lastmod>2013-03-26T16:02:43+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-set/</loc><lastmod>2013-03-26T16:01:15+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-natural-numbers/</loc><lastmod>2013-03-26T16:00:14+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-injective-function/</loc><lastmod>2013-03-26T15:57:49+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-function/</loc><lastmod>2013-03-26T15:57:04+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-element/</loc><lastmod>2013-03-26T15:56:39+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-domain/</loc><lastmod>2013-03-26T15:54:55+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-codomain/</loc><lastmod>2013-03-26T15:54:14+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-bijective-function/</loc><lastmod>2013-03-26T15:50:34+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/2012/09/13/infinity-prime/</loc><lastmod>2013-04-09T18:17:43+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/lesson-15-proving-the-pattern/</loc><lastmod>2015-07-16T23:14:52+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-12-infinity-times-infinity-infinity/</loc><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/02/photo-25.jpg</image:loc><image:caption>Figure 2</image:caption></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/02/photo-24-e1361226311901.jpg</image:loc><image:title>All the fractions!</image:title><image:caption>Infinite in both directions to cover all the positive fractions</image:caption></image:image><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/02/photo-23-e1361226082426.jpg</image:loc><image:title>photo (23)</image:title></image:image><lastmod>2015-09-28T21:54:53+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/definition-subset/</loc><lastmod>2013-03-25T22:28:06+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-14-solutions/</loc><lastmod>2013-03-24T17:36:23+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-13-infinity-type-2/</loc><lastmod>2018-01-08T16:54:21+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/very-quick-note-on-lessons-11-15/</loc><lastmod>2013-03-23T15:25:04+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/lesson-10-solutions/</loc><lastmod>2013-03-23T15:21:06+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/what-is-a-mathematical-structure/</loc><lastmod>2017-02-16T18:13:31+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/what-is-abstract-thought/</loc><lastmod>2013-11-06T09:06:57+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/2012/09/12/what-is-a-mathematical-structure/</loc><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2012/09/castlepic.jpeg</image:loc><image:title>Your Math Castle</image:title><image:caption>One of several mathematical castles that you can build for yourself!</image:caption></image:image><lastmod>2013-03-21T12:35:06+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/2012/09/12/what-is-abstract-thought/</loc><lastmod>2013-03-21T12:30:44+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/2012/09/13/proof-by-contradiction/</loc><lastmod>2013-10-08T14:48:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/2013/01/23/note-on-notation/</loc><image:image><image:loc>https://truebeautyofmath.com/wp-content/uploads/2013/01/notationpic.gif</image:loc><image:title>Notation</image:title><image:caption>Yikes!</image:caption></image:image><lastmod>2015-09-21T07:25:16+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/2013/01/30/vacuous-statements/</loc><lastmod>2016-06-08T14:55:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://truebeautyofmath.com/definition-natural-and-prime-numbers/</loc><lastmod>2013-10-08T14:29:57+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/blog/</loc><lastmod>2013-02-17T09:54:12+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/why-were-here/</loc><lastmod>2013-02-16T19:36:35+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/mathematics/about-math/</loc><lastmod>2013-01-22T21:26:23+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com/mathematics/</loc><lastmod>2012-09-11T00:46:05+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://truebeautyofmath.com</loc><changefreq>daily</changefreq><priority>1.0</priority><lastmod>2019-06-13T16:20:07+00:00</lastmod></url></urlset>
