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      <video:description>How a Bloom filter tests membership in a few bits per item, why false positives happen, how to pick k, and why deletion is forbidden.</video:description>
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    <lastmod>2026-08-28T18:49:53.634Z</lastmod>
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    <loc>https://academa.ai/lectures/cournot-duopoly-and-best-responses</loc>
    <lastmod>2026-08-28T18:55:21.303Z</lastmod>
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      <video:title>Cournot Competition: Best-Response Dynamics and the Race to Equilibrium</video:title>
      <video:description>Watch Cournot firms chase best responses to equilibrium, then compare its price with monopoly, competition, and Bertrand pricing.</video:description>
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    <loc>https://academa.ai/lectures/deriving-shear-moment-diagrams</loc>
    <lastmod>2026-08-28T19:09:19.623Z</lastmod>
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      <video:thumbnail_loc>https://academa.ai/media/l/01M14TY448ABTYCPADC1FDHE42/0/dark/poster.jpg</video:thumbnail_loc>
      <video:title>Shear and Moment Diagrams from First Principles</video:title>
      <video:description>Cut a beam, take the free body, and derive shear and moment diagrams from equilibrium, then from the two derivatives that govern them.</video:description>
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    <lastmod>2026-08-28T19:14:25.785Z</lastmod>
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      <video:thumbnail_loc>https://academa.ai/media/l/01M14TY5WHGF2FPAP90WKFQNRA/0/dark/poster.jpg</video:thumbnail_loc>
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    <lastmod>2026-08-28T18:45:47.269Z</lastmod>
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      <video:thumbnail_loc>https://academa.ai/media/l/01M14TXCAC8KKYS97CWXZ1BWNE/0/dark/poster.jpg</video:thumbnail_loc>
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      <video:description>Derive the edit distance recurrence, fill its table cell by cell, recover the edits, and count the work plain recursion repeats.</video:description>
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    <loc>https://academa.ai/lectures/euler-buckling-columns</loc>
    <lastmod>2026-08-28T19:13:51.665Z</lastmod>
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      <video:thumbnail_loc>https://academa.ai/media/l/01M14TY71B7KJ7N3M9NE8BZATV/0/dark/poster.jpg</video:thumbnail_loc>
      <video:title>Euler Buckling: Why Slender Columns Fail by Instability</video:title>
      <video:description>Why slender columns buckle: the critical load derived from the deflected shape, effective length from inflection points, and the slenderness limit.</video:description>
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    <loc>https://academa.ai/lectures/frequency-response-bode-closed-loop</loc>
    <lastmod>2026-08-28T19:16:09.089Z</lastmod>
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      <video:thumbnail_loc>https://academa.ai/media/l/01M14TY867AYWPKBBRWT86KP3M/0/dark/poster.jpg</video:thumbnail_loc>
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    <loc>https://academa.ai/lectures/halting-problem-undecidability</loc>
    <lastmod>2026-08-28T18:45:36.643Z</lastmod>
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  <url>
    <loc>https://academa.ai/lectures/instantaneous-axis-of-rotation</loc>
    <lastmod>2026-08-28T19:20:12.654Z</lastmod>
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      <video:thumbnail_loc>https://academa.ai/media/l/01M14TYA5P7YWR2CMWJYKMN214/0/dark/poster.jpg</video:thumbnail_loc>
      <video:title>Kinematics of a Body: The Instantaneous Axis</video:title>
      <video:description>The rigid-body velocity relation, the instantaneous centre of a rolling wheel, and the screw axis that replaces it in three dimensions.</video:description>
      <video:content_loc>https://academa.ai/media/l/01M14TYA5P7YWR2CMWJYKMN214/0/dark/master.m3u8</video:content_loc>
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      <video:publication_date>2026-08-28T19:20:12.654Z</video:publication_date>
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    <loc>https://academa.ai/lectures/maxflow-mincut-theorem</loc>
    <lastmod>2026-08-28T18:45:48.185Z</lastmod>
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      <video:thumbnail_loc>https://academa.ai/media/l/01M14TXHCXEMC5NM1W4SXGF7P6/0/dark/poster.jpg</video:thumbnail_loc>
      <video:title>Maximum Flow Equals Minimum Cut: Proof by Example</video:title>
      <video:description>Max flow equals min cut, worked by hand on one small network: augmenting paths, a residual backward edge, and the cut that certifies the answer.</video:description>
      <video:content_loc>https://academa.ai/media/l/01M14TXHCXEMC5NM1W4SXGF7P6/0/dark/master.m3u8</video:content_loc>
      <video:duration>1139</video:duration>
      <video:publication_date>2026-08-28T18:45:48.185Z</video:publication_date>
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      <video:requires_subscription>no</video:requires_subscription>
      <video:live>no</video:live>
      <video:tag>Computer Science</video:tag>
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  <url>
    <loc>https://academa.ai/lectures/monopoly-marginal-revenue-and-price-discrimination</loc>
    <lastmod>2026-08-28T18:54:11.086Z</lastmod>
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      <video:thumbnail_loc>https://academa.ai/media/l/01M14TXV617E4GZ23JQR30YYCA/0/dark/poster.jpg</video:thumbnail_loc>
      <video:title>Monopoly, Marginal Revenue, and Price Discrimination</video:title>
      <video:description>Derive monopoly marginal revenue, compare monopoly with competition, and trace welfare under group and perfect price discrimination.</video:description>
      <video:content_loc>https://academa.ai/media/l/01M14TXV617E4GZ23JQR30YYCA/0/dark/master.m3u8</video:content_loc>
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      <video:publication_date>2026-08-28T18:54:11.086Z</video:publication_date>
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      <video:live>no</video:live>
      <video:tag>Economics</video:tag>
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  <url>
    <loc>https://academa.ai/lectures/pagerank-the-random-surfer</loc>
    <lastmod>2026-08-28T18:51:49.805Z</lastmod>
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      <video:thumbnail_loc>https://academa.ai/media/l/01M14TXJEYMJ7SQEJYRCTTSZRP/0/dark/poster.jpg</video:thumbnail_loc>
      <video:title>How Hyperlinks Become Votes: The PageRank Algorithm</video:title>
      <video:description>Build PageRank from a random surfer on six pages: link matrix, power iteration, damping factor, dangling pages and rank sinks.</video:description>
      <video:content_loc>https://academa.ai/media/l/01M14TXJEYMJ7SQEJYRCTTSZRP/0/dark/master.m3u8</video:content_loc>
      <video:duration>681</video:duration>
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      <video:tag>Computer Science</video:tag>
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    <loc>https://academa.ai/lectures/pid-control-one-term-at-a-time</loc>
    <lastmod>2026-08-28T19:27:07.264Z</lastmod>
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      <video:thumbnail_loc>https://academa.ai/media/l/01M14TYE5YQN06G7H8ST7F6QPD/0/dark/poster.jpg</video:thumbnail_loc>
      <video:title>PID Control, One Term at a Time</video:title>
      <video:description>Build a PID controller one term at a time on a cruise control: proportional offset, integral windup, derivative damping, and tuning.</video:description>
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      <video:tag>Engineering</video:tag>
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    <loc>https://academa.ai/lectures/planar-truss-method-of-joints</loc>
    <lastmod>2026-08-28T19:33:31.701Z</lastmod>
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      <video:thumbnail_loc>https://academa.ai/media/l/01M14TYF4MA5MTVE5SWD76QWSG/0/dark/poster.jpg</video:thumbnail_loc>
      <video:title>Planar Truss Analysis: Method of Joints</video:title>
      <video:description>Analyse one planar truss by the method of joints: support reactions, joint equilibrium, tension and compression signs, zero force members.</video:description>
      <video:content_loc>https://academa.ai/media/l/01M14TYF4MA5MTVE5SWD76QWSG/0/dark/master.m3u8</video:content_loc>
      <video:duration>936</video:duration>
      <video:publication_date>2026-08-28T19:33:31.701Z</video:publication_date>
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      <video:live>no</video:live>
      <video:tag>Engineering</video:tag>
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  <url>
    <loc>https://academa.ai/lectures/regex-to-automata</loc>
    <lastmod>2026-08-28T18:49:39.333Z</lastmod>
    <video:video>
      <video:thumbnail_loc>https://academa.ai/media/l/01M14TXMSYRCBP5CTHVWH3TN01/0/dark/poster.jpg</video:thumbnail_loc>
      <video:title>Automata Behind Regular Expressions</video:title>
      <video:description>Build the state machine behind a regular expression, run a string through it, determinise it, and meet the two things regexes cannot do.</video:description>
      <video:content_loc>https://academa.ai/media/l/01M14TXMSYRCBP5CTHVWH3TN01/0/dark/master.m3u8</video:content_loc>
      <video:duration>1060</video:duration>
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      <video:live>no</video:live>
      <video:tag>Computer Science</video:tag>
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  <url>
    <loc>https://academa.ai/lectures/second-price-auctions-and-honest-bidding</loc>
    <lastmod>2026-08-28T18:55:54.598Z</lastmod>
    <video:video>
      <video:thumbnail_loc>https://academa.ai/media/l/01M14TXWNP8RS8MQP0KDSRPNQJ/0/dark/poster.jpg</video:thumbnail_loc>
      <video:title>Why Truthful Bidding Works—and Why First-Price Bidders Shade</video:title>
      <video:description>See truthful bidding proved by cases, first-price bid shading derived from incentives, and revenue equivalence stated with its assumptions.</video:description>
      <video:content_loc>https://academa.ai/media/l/01M14TXWNP8RS8MQP0KDSRPNQJ/0/dark/master.m3u8</video:content_loc>
      <video:duration>769</video:duration>
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      <video:live>no</video:live>
      <video:tag>Economics</video:tag>
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  <url>
    <loc>https://academa.ai/lectures/solving-2-2-games-best-responses-pure-and-mixed-nash-equilibria</loc>
    <lastmod>2026-08-28T19:07:13.510Z</lastmod>
    <video:video>
      <video:thumbnail_loc>https://academa.ai/media/l/01M14TXXS3DT7ZDH2RQ7RMREF3/0/dark/poster.jpg</video:thumbnail_loc>
      <video:title>Solving 2×2 Games by Hand: Best Responses, Pure Equilibria, and Mixing</video:title>
      <video:description>Solve 2×2 games by hand using payoff matrices, best-response marks, pure Nash equilibria, expected payoffs, and mixed strategies.</video:description>
      <video:content_loc>https://academa.ai/media/l/01M14TXXS3DT7ZDH2RQ7RMREF3/0/dark/master.m3u8</video:content_loc>
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      <video:tag>Economics</video:tag>
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  <url>
    <loc>https://academa.ai/lectures/supply-and-demand-actually-moving</loc>
    <lastmod>2026-08-28T19:00:13.108Z</lastmod>
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      <video:thumbnail_loc>https://academa.ai/media/l/01M14TXYVM991EQBXEF3E9CSZ8/0/dark/poster.jpg</video:thumbnail_loc>
      <video:title>Supply and Demand in Motion: Equilibrium, Shifts, and Movements Along Curves</video:title>
      <video:description>Learn supply, demand, and equilibrium, then see how harvests, tastes, and new competitors shift curves and change market outcomes.</video:description>
      <video:content_loc>https://academa.ai/media/l/01M14TXYVM991EQBXEF3E9CSZ8/0/dark/master.m3u8</video:content_loc>
      <video:duration>855</video:duration>
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      <video:live>no</video:live>
      <video:tag>Economics</video:tag>
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  <url>
    <loc>https://academa.ai/lectures/the-market-for-lemons-how-hidden-quality-can-cause-a-market-collapse</loc>
    <lastmod>2026-08-28T19:02:30.409Z</lastmod>
    <video:video>
      <video:thumbnail_loc>https://academa.ai/media/l/01M14TY00VQ11Q8J1N1K0J94Z1/0/dark/poster.jpg</video:thumbnail_loc>
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