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  <lastmod>2026-06-19T02:39:01Z</lastmod>
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   <news:title>The Great Formulas of Mathematics: A Tour Through the Most Powerful Ideas Ever Discovered</news:title>
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  <loc>https://nerdish.org/2026/06/18/what-is-a-vector-space-why-mathematicians-care-so-much-about-them/</loc>
  <lastmod>2026-06-18T21:23:59Z</lastmod>
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   <news:title>What Is a Vector Space? Why Mathematicians Care So Much About Them</news:title>
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  <loc>https://nerdish.org/2026/06/18/lesson-14-clustering-discovering-hidden-groups-in-data/</loc>
  <lastmod>2026-06-14T05:11:54Z</lastmod>
  <news:news>
   <news:publication>
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   <news:title>Lesson 14: Clustering: Discovering Hidden Groups in Data</news:title>
   <news:publication_date>2026-06-18T12:00:00Z</news:publication_date>
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  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-29-the-lebesgue-differentiation-theorem/</loc>
  <lastmod>2026-06-18T04:37:28Z</lastmod>
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   <news:title>Measure Theory Lesson 29: The Lebesgue Differentiation Theorem</news:title>
   <news:publication_date>2026-06-18T04:37:27Z</news:publication_date>
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  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-27-lusins-theorem/</loc>
  <lastmod>2026-06-18T04:36:23Z</lastmod>
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   <news:title>Measure Theory Lesson 27: Lusin’s Theorem</news:title>
   <news:publication_date>2026-06-18T04:36:22Z</news:publication_date>
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  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-28-differentiation-of-measures/</loc>
  <lastmod>2026-06-18T04:33:08Z</lastmod>
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   <news:title>Measure Theory Lesson 28: Differentiation of Measures</news:title>
   <news:publication_date>2026-06-18T04:33:07Z</news:publication_date>
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 <url>
  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-26-egoroffs-theorem/</loc>
  <lastmod>2026-06-18T04:31:59Z</lastmod>
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   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 26: Egoroff’s Theorem</news:title>
   <news:publication_date>2026-06-18T04:31:58Z</news:publication_date>
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 <url>
  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-25-convergence-in-measure/</loc>
  <lastmod>2026-06-18T04:23:11Z</lastmod>
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   <news:title>Measure Theory Lesson 25: Convergence in Measure</news:title>
   <news:publication_date>2026-06-18T04:23:11Z</news:publication_date>
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  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-24-riemann-integration-vs-lebesgue-integration/</loc>
  <lastmod>2026-06-18T04:21:48Z</lastmod>
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   <news:title>Measure Theory Lesson 24: Riemann Integration vs Lebesgue Integration</news:title>
   <news:publication_date>2026-06-18T04:21:47Z</news:publication_date>
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 <url>
  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-23-fubinis-theorem/</loc>
  <lastmod>2026-06-18T04:16:12Z</lastmod>
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   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 23: Fubini’s Theorem</news:title>
   <news:publication_date>2026-06-18T04:16:11Z</news:publication_date>
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 <url>
  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-22-tonellis-theorem/</loc>
  <lastmod>2026-06-18T03:48:21Z</lastmod>
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   <news:publication>
    <news:name>nerd-ish</news:name>
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   <news:title>Measure Theory Lesson 22: Tonelli’s Theorem</news:title>
   <news:publication_date>2026-06-18T03:48:20Z</news:publication_date>
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  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-21-product-measures/</loc>
  <lastmod>2026-06-18T03:46:37Z</lastmod>
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   <news:title>Measure Theory Lesson 21: Product Measures</news:title>
   <news:publication_date>2026-06-18T03:46:36Z</news:publication_date>
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 <url>
  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-20-the-lebesgue-decomposition-theorem/</loc>
  <lastmod>2026-06-18T03:45:34Z</lastmod>
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   <news:title>Measure Theory Lesson 20: The Lebesgue Decomposition Theorem</news:title>
   <news:publication_date>2026-06-18T03:45:33Z</news:publication_date>
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 <url>
  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-19-the-cantor-measure-and-the-cantor-function/</loc>
  <lastmod>2026-06-18T03:42:31Z</lastmod>
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   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 19: The Cantor Measure and the Cantor Function</news:title>
   <news:publication_date>2026-06-18T03:42:31Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-18-singular-measures/</loc>
  <lastmod>2026-06-18T03:41:22Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 18: Singular Measures</news:title>
   <news:publication_date>2026-06-18T03:41:21Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-15-signed-measures/</loc>
  <lastmod>2026-06-18T03:40:00Z</lastmod>
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    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 15: Signed Measures</news:title>
   <news:publication_date>2026-06-18T03:39:59Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-15b-the-jordan-decomposition-theorem/</loc>
  <lastmod>2026-06-18T03:39:18Z</lastmod>
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   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 15b: The Jordan Decomposition Theorem</news:title>
   <news:publication_date>2026-06-18T03:39:17Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-17-absolute-continuity-of-measures/</loc>
  <lastmod>2026-06-18T03:37:00Z</lastmod>
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   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 17: Absolute Continuity of Measures</news:title>
   <news:publication_date>2026-06-18T03:37:00Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-16-the-radon-nikodym-theorem/</loc>
  <lastmod>2026-06-18T03:35:11Z</lastmod>
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   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 16: The Radon–Nikodym Theorem</news:title>
   <news:publication_date>2026-06-18T03:35:10Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/06/17/the-integral-as-a-linear-functional-when-integration-becomes-algebra/</loc>
  <lastmod>2026-06-18T00:06:06Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>The Integral as a Linear Functional: When Integration Becomes Algebra</news:title>
   <news:publication_date>2026-06-18T00:05:30Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/06/17/why-are-some-unbounded-functions-lebesgue-integrable-while-others-are-not/</loc>
  <lastmod>2026-06-17T23:51:39Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Why Are Some Unbounded Functions Lebesgue Integrable While Others Are Not?</news:title>
   <news:publication_date>2026-06-17T23:28:12Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/06/17/why-did-mathematicians-need-the-lebesgue-integral-if-riemann-could-already-handle-discontinuities/</loc>
  <lastmod>2026-06-17T21:24:42Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Why Did Mathematicians Need the Lebesgue Integral if Riemann Could Already Handle Discontinuities?</news:title>
   <news:publication_date>2026-06-17T21:24:41Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/06/17/measure-theory-lesson-1-20-review-how-everything-connects/</loc>
  <lastmod>2026-06-17T19:08:44Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Measure Theory Lesson 1-20 Review: How Everything Connects</news:title>
   <news:publication_date>2026-06-17T19:08:04Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/06/17/algebraic-geometry-lesson-2-algebraic-sets-zariski-topology-and-ideals/</loc>
  <lastmod>2026-06-17T18:42:13Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Algebraic Geometry Lesson 2: Algebraic Sets, Zariski Topology, and Ideals</news:title>
   <news:publication_date>2026-06-17T18:42:12Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/06/17/lesson-13-gradient-boosting-and-xgboost-building-state-of-the-art-predictive-models/</loc>
  <lastmod>2026-06-14T05:07:18Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Lesson 13: Gradient Boosting and XGBoost: Building State-of-the-Art Predictive Models</news:title>
   <news:publication_date>2026-06-17T12:00:00Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/06/17/algebraic-geometry-the-geometry-hidden-inside-polynomial-equations/</loc>
  <lastmod>2026-06-17T07:10:13Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Algebraic Geometry: The Geometry Hidden Inside Polynomial Equations</news:title>
   <news:publication_date>2026-06-17T07:10:12Z</news:publication_date>
   <news:genres>Blog</news:genres>
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