https://academa.ai/ https://academa.ai/lectures https://academa.ai/lectures/accumulation-and-rate-of-change 2026-08-28T22:51:31.000Z https://academa.ai/media/l/01M14TZ29ND79HRFMF6W061GNY/0/dark/poster.jpg Accumulation and the Two Halves of Calculus Build the accumulation function from a rate graph, discover its slope is the rate, and reach the Fundamental Theorem of Calculus. https://academa.ai/media/l/01M14TZ29ND79HRFMF6W061GNY/0/dark/master.m3u8 942 2026-08-28T22:51:31.000Z no no Mathematics https://academa.ai/lectures/alternating-current-phasors-power-factor 2026-08-28T19:21:59.537Z https://academa.ai/media/l/01M14TY2TTRGKQ79KDQV8VY0ZH/0/dark/poster.jpg Alternating Current: Phasors and Power Factor Phasors, impedance and power factor for AC circuits: why current lags, what reactive power costs, and how a capacitor fixes it. https://academa.ai/media/l/01M14TY2TTRGKQ79KDQV8VY0ZH/0/dark/master.m3u8 1149 2026-08-28T19:21:59.537Z 3 no no Engineering https://academa.ai/lectures/backpropagation-is-the-chain-rule-on-a-graph 2026-08-28T19:43:01.707Z https://academa.ai/media/l/01M14TYHEZ773ZHEW56KCCSAHJ/0/dark/poster.jpg Backpropagation by Hand: From Computational Graphs to Matrix Gradients Follow a tiny neural network through exact forward values, scalar chain-rule backpropagation, matrix gradients, and activation-memory costs. https://academa.ai/media/l/01M14TYHEZ773ZHEW56KCCSAHJ/0/dark/master.m3u8 1169 2026-08-28T19:43:01.707Z 3 no no Machine Learning https://academa.ai/lectures/bayes-through-the-medical-test-paradox 2026-08-28T22:51:56.000Z https://academa.ai/media/l/01M14V03BNSC4HNC1D114614TX/0/dark/poster.jpg Why a 99% Accurate Test Can Still Be Wrong See how a 99% sensitive and 99% specific test can be wrong for a rare disease, then watch prevalence, accuracy, and retesting change the odds. https://academa.ai/media/l/01M14V03BNSC4HNC1D114614TX/0/dark/master.m3u8 695 2026-08-28T22:51:56.000Z no no Statistics https://academa.ai/lectures/bias-variance-and-the-shape-of-overfitting 2026-08-28T22:51:22.000Z https://academa.ai/media/l/01M14TYJMMAQ9SQDTPSVK4XZGD/0/dark/poster.jpg Overfitting Made Visible: Bias, Variance, and the Role of Data See underfitting, overfitting, training and test error, bias, variance, and the stabilizing role of additional data in one visual experiment. https://academa.ai/media/l/01M14TYJMMAQ9SQDTPSVK4XZGD/0/dark/master.m3u8 813 2026-08-28T22:51:22.000Z 1 no no Machine Learning https://academa.ai/lectures/bloom-filters 2026-08-28T18:45:02.106Z https://academa.ai/media/l/01M14TX4X2AEBCN974JH81ZCHZ/0/dark/poster.jpg The Bloom Filter 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. https://academa.ai/media/l/01M14TX4X2AEBCN974JH81ZCHZ/0/dark/master.m3u8 857 2026-08-28T18:45:02.106Z no no Computer Science https://academa.ai/lectures/boundary-layer-drag-crisis 2026-08-28T22:51:45.000Z https://academa.ai/media/l/01M14TZQMRTCNQJ9ANFG3GJ8T3/0/dark/poster.jpg Boundary Layers and Drag: From No-Slip to the Drag Crisis Why ideal flow predicts zero drag, how the boundary layer fixes it, and why separation and dimples decide a sphere's drag. https://academa.ai/media/l/01M14TZQMRTCNQJ9ANFG3GJ8T3/0/dark/master.m3u8 1320 2026-08-28T22:51:45.000Z no no Physics https://academa.ai/lectures/central-limit-theorem-by-sampling 2026-08-28T22:51:57.000Z https://academa.ai/media/l/01M14V04E76DMNTAVA3A7H0RXH/0/dark/poster.jpg The Central Limit Theorem, Shown by Sampling Watch a skewed population turn into the normal curve: samples of four, a wall of averages, and the sigma over root n law behind every error bar. https://academa.ai/media/l/01M14V04E76DMNTAVA3A7H0RXH/0/dark/master.m3u8 639 2026-08-28T22:51:57.000Z no no Statistics https://academa.ai/lectures/clustering-k-means-and-where-it-fails 2026-08-28T22:51:23.000Z https://academa.ai/media/l/01M14TYKN0KG2QE2M697DD03FR/0/dark/poster.jpg K-Means, Its Failure Modes, and Gaussian Mixture Models A practical visual guide to k-means iteration, its key failure modes, soft membership, and Gaussian mixtures with learned covariance. https://academa.ai/media/l/01M14TYKN0KG2QE2M697DD03FR/0/dark/master.m3u8 823 2026-08-28T22:51:23.000Z no no Machine Learning https://academa.ai/lectures/comparative-advantage-gains-from-trade 2026-08-28T18:49:53.634Z https://academa.ai/media/l/01M14TXQT46WJ0VNFGB1Q942FC/0/dark/poster.jpg Comparative Advantage: Why Both Countries Gain from Trade Why two countries both gain from trade even when one is slower at everything: opportunity cost, specialization and the frontier. https://academa.ai/media/l/01M14TXQT46WJ0VNFGB1Q942FC/0/dark/master.m3u8 963 2026-08-28T18:49:53.634Z 1 no no Economics https://academa.ai/lectures/concentration-on-the-sphere 2026-08-28T22:51:34.000Z https://academa.ai/media/l/01M14TZ4DMWK0M8EYWYQWJ0SZ2/0/dark/poster.jpg Concentration of Measure on the Sphere Why nearly all of a high-dimensional sphere lies within a whisker of any equator: Levy's isoperimetric inequality, concentration, and Dvoretzky's theorem. https://academa.ai/media/l/01M14TZ4DMWK0M8EYWYQWJ0SZ2/0/dark/master.m3u8 730 2026-08-28T22:51:34.000Z no no Mathematics https://academa.ai/lectures/cournot-duopoly-and-best-responses 2026-08-28T18:55:21.303Z https://academa.ai/media/l/01M14TXT0PVMXZ1QRS662NNA4E/0/dark/poster.jpg Cournot Competition: Best-Response Dynamics and the Race to Equilibrium Watch Cournot firms chase best responses to equilibrium, then compare its price with monopoly, competition, and Bertrand pricing. https://academa.ai/media/l/01M14TXT0PVMXZ1QRS662NNA4E/0/dark/master.m3u8 1036 2026-08-28T18:55:21.303Z no no Economics https://academa.ai/lectures/decision-trees-and-why-forests-beat-them 2026-08-28T22:51:24.000Z https://academa.ai/media/l/01M14TYNGGHB7PNCH61Q2K755C/0/dark/poster.jpg From One Decision Tree to a Random Forest Grow, overfit, and prune one decision tree, then build a random forest and see why averaging decorrelated trees reduces prediction variance. https://academa.ai/media/l/01M14TYNGGHB7PNCH61Q2K755C/0/dark/master.m3u8 1200 2026-08-28T22:51:24.000Z no no Machine Learning https://academa.ai/lectures/deriving-keplerian-orbits-from-conservation-laws 2026-08-28T22:51:46.000Z https://academa.ai/media/l/01M14TZRRY2J3BBR5D2P0ZJHD3/0/dark/poster.jpg Deriving Keplerian Orbits from Conservation Laws Derive equal areas, conic orbits, Kepler's period law, orbital energy classes, and escape speed from conservation laws. https://academa.ai/media/l/01M14TZRRY2J3BBR5D2P0ZJHD3/0/dark/master.m3u8 1128 2026-08-28T22:51:46.000Z no no Physics https://academa.ai/lectures/deriving-shear-moment-diagrams 2026-08-28T19:09:19.623Z https://academa.ai/media/l/01M14TY448ABTYCPADC1FDHE42/0/dark/poster.jpg Shear and Moment Diagrams from First Principles Cut a beam, take the free body, and derive shear and moment diagrams from equilibrium, then from the two derivatives that govern them. https://academa.ai/media/l/01M14TY448ABTYCPADC1FDHE42/0/dark/master.m3u8 1075 2026-08-28T19:09:19.623Z no no Engineering https://academa.ai/lectures/diffusion-models-learning-to-denoise 2026-08-28T22:51:26.000Z https://academa.ai/media/l/01M14TYPR7X214TNQ14P2BSS4N/0/dark/poster.jpg Diffusion Models: From Noise to Images Learn how diffusion models add noise, train a supervised noise predictor, reverse the process, and steer images with text guidance. https://academa.ai/media/l/01M14TYPR7X214TNQ14P2BSS4N/0/dark/master.m3u8 1368 2026-08-28T22:51:26.000Z no no Machine Learning https://academa.ai/lectures/dimensional-analysis-drag 2026-08-28T19:14:25.785Z https://academa.ai/media/l/01M14TY5WHGF2FPAP90WKFQNRA/0/dark/poster.jpg Why Wind Tunnel Models Work: Dimensional Analysis of Aerodynamic Drag Why a scale model predicts the drag on a real aircraft: count the dimensions, derive Reynolds and the drag coefficient, and see where Mach breaks similarity. https://academa.ai/media/l/01M14TY5WHGF2FPAP90WKFQNRA/0/dark/master.m3u8 1020 2026-08-28T19:14:25.785Z 1 no no Engineering https://academa.ai/lectures/divergence-and-stokes-theorems 2026-08-28T22:51:35.000Z https://academa.ai/media/l/01M14TZ5MGQ0E91Y0973T7G66Y/0/dark/poster.jpg Divergence, and the Two Great Theorems Divergence as outward flow, the divergence theorem, and Stokes' theorem, built from one picture and one cancelling argument. https://academa.ai/media/l/01M14TZ5MGQ0E91Y0973T7G66Y/0/dark/master.m3u8 584 2026-08-28T22:51:35.000Z no no Mathematics https://academa.ai/lectures/edit-distance-dp-derivation 2026-08-28T18:45:47.269Z https://academa.ai/media/l/01M14TXCAC8KKYS97CWXZ1BWNE/0/dark/poster.jpg Edit Distance: From Memorization to Derivation Derive the edit distance recurrence, fill its table cell by cell, recover the edits, and count the work plain recursion repeats. https://academa.ai/media/l/01M14TXCAC8KKYS97CWXZ1BWNE/0/dark/master.m3u8 943 2026-08-28T18:45:47.269Z no no Computer Science https://academa.ai/lectures/euler-buckling-columns 2026-08-28T19:13:51.665Z https://academa.ai/media/l/01M14TY71B7KJ7N3M9NE8BZATV/0/dark/poster.jpg Euler Buckling: Why Slender Columns Fail by Instability Why slender columns buckle: the critical load derived from the deflected shape, effective length from inflection points, and the slenderness limit. https://academa.ai/media/l/01M14TY71B7KJ7N3M9NE8BZATV/0/dark/master.m3u8 1052 2026-08-28T19:13:51.665Z 2 no no Engineering https://academa.ai/lectures/everything-is-stokes-theorem 2026-08-28T22:51:37.000Z https://academa.ai/media/l/01M14TZB450QBG80V6614C1YYK/0/dark/poster.jpg Everything Is Stokes' Theorem What Stokes' theorem says: the fundamental theorem of calculus, line integrals and Green's theorem are one line, read at three dimensions. https://academa.ai/media/l/01M14TZB450QBG80V6614C1YYK/0/dark/master.m3u8 746 2026-08-28T22:51:37.000Z no no Mathematics https://academa.ai/lectures/frequency-response-bode-closed-loop 2026-08-28T19:16:09.089Z https://academa.ai/media/l/01M14TY867AYWPKBBRWT86KP3M/0/dark/poster.jpg Frequency Response: From Poles and Zeros to Stability and Compensation Build Bode magnitude and phase curves from poles and zeros, define gain and phase margin, then see what lag and lead compensators change. https://academa.ai/media/l/01M14TY867AYWPKBBRWT86KP3M/0/dark/master.m3u8 1660 2026-08-28T19:16:09.089Z 2 no no Engineering https://academa.ai/lectures/gyroscopic-precession 2026-08-28T22:51:49.000Z https://academa.ai/media/l/01M14TZXNX6J0FA3SXT86BYP5M/0/dark/poster.jpg Why a Spinning Top Stays Up: Angular Momentum and Precession See why gravity turns a spinning top sideways, derive its precession rate, and connect the result to a suspended bicycle wheel. https://academa.ai/media/l/01M14TZXNX6J0FA3SXT86BYP5M/0/dark/master.m3u8 924 2026-08-28T22:51:49.000Z no no Physics https://academa.ai/lectures/halting-problem-undecidability 2026-08-28T18:45:36.643Z https://academa.ai/media/l/01M14TXEZX293E70GEK3H8CACX/0/dark/poster.jpg The Halting Problem Is Undecidable Cantor's diagonal, the table of programs against inputs, and the contrary program that proves no halting decider can exist. https://academa.ai/media/l/01M14TXEZX293E70GEK3H8CACX/0/dark/master.m3u8 992 2026-08-28T18:45:36.643Z no no Computer Science https://academa.ai/lectures/instantaneous-axis-of-rotation 2026-08-28T19:20:12.654Z https://academa.ai/media/l/01M14TYA5P7YWR2CMWJYKMN214/0/dark/poster.jpg Kinematics of a Body: The Instantaneous Axis The rigid-body velocity relation, the instantaneous centre of a rolling wheel, and the screw axis that replaces it in three dimensions. https://academa.ai/media/l/01M14TYA5P7YWR2CMWJYKMN214/0/dark/master.m3u8 481 2026-08-28T19:20:12.654Z 1 no no Engineering https://academa.ai/lectures/maxflow-mincut-theorem 2026-08-28T18:45:48.185Z https://academa.ai/media/l/01M14TXHCXEMC5NM1W4SXGF7P6/0/dark/poster.jpg Maximum Flow Equals Minimum Cut: Proof by Example 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. https://academa.ai/media/l/01M14TXHCXEMC5NM1W4SXGF7P6/0/dark/master.m3u8 1139 2026-08-28T18:45:48.185Z 2 no no Computer Science https://academa.ai/lectures/monopoly-marginal-revenue-and-price-discrimination 2026-08-28T18:54:11.086Z https://academa.ai/media/l/01M14TXV617E4GZ23JQR30YYCA/0/dark/poster.jpg Monopoly, Marginal Revenue, and Price Discrimination Derive monopoly marginal revenue, compare monopoly with competition, and trace welfare under group and perfect price discrimination. https://academa.ai/media/l/01M14TXV617E4GZ23JQR30YYCA/0/dark/master.m3u8 936 2026-08-28T18:54:11.086Z 1 no no Economics https://academa.ai/lectures/monty-hall 2026-08-28T22:51:59.000Z https://academa.ai/media/l/01M14V06HJH7CGGZK9BX32DPD5/0/dark/poster.jpg The Monty Hall Problem: Why Switching Wins Fix one door, list every place the car can be, and count. Then watch the advantage vanish when the host stops knowing where the car is. https://academa.ai/media/l/01M14V06HJH7CGGZK9BX32DPD5/0/dark/master.m3u8 543 2026-08-28T22:51:59.000Z 1 no no Statistics https://academa.ai/lectures/pagerank-the-random-surfer 2026-08-28T18:51:49.805Z https://academa.ai/media/l/01M14TXJEYMJ7SQEJYRCTTSZRP/0/dark/poster.jpg How Hyperlinks Become Votes: The PageRank Algorithm Build PageRank from a random surfer on six pages: link matrix, power iteration, damping factor, dangling pages and rank sinks. https://academa.ai/media/l/01M14TXJEYMJ7SQEJYRCTTSZRP/0/dark/master.m3u8 681 2026-08-28T18:51:49.805Z 1 no no Computer Science https://academa.ai/lectures/period-doubling-logistic-map 2026-08-28T22:51:38.000Z https://academa.ai/media/l/01M14TZCA2S8TZQ5H5XEFF4NZW/0/dark/poster.jpg The Logistic Map: From Fixed Points to Chaos via Period-Doubling Watch one population equation lose its fixed point, double through two, four and eight cycles, and slide into chaos. https://academa.ai/media/l/01M14TZCA2S8TZQ5H5XEFF4NZW/0/dark/master.m3u8 1222 2026-08-28T22:51:38.000Z no no Mathematics https://academa.ai/lectures/pid-control-one-term-at-a-time 2026-08-28T19:27:07.264Z https://academa.ai/media/l/01M14TYE5YQN06G7H8ST7F6QPD/0/dark/poster.jpg PID Control, One Term at a Time Build a PID controller one term at a time on a cruise control: proportional offset, integral windup, derivative damping, and tuning. https://academa.ai/media/l/01M14TYE5YQN06G7H8ST7F6QPD/0/dark/master.m3u8 1002 2026-08-28T19:27:07.264Z no no Engineering https://academa.ai/lectures/pigeonhole-principle-boxes 2026-08-28T22:51:39.000Z https://academa.ai/media/l/01M14TZDF7NPG7EJ913X21HSZK/0/dark/poster.jpg The Pigeonhole Principle: Choosing the Boxes State the pigeonhole principle in one line, then watch it prove three things that look nothing like it. The trick is choosing the boxes. https://academa.ai/media/l/01M14TZDF7NPG7EJ913X21HSZK/0/dark/master.m3u8 652 2026-08-28T22:51:39.000Z no no Mathematics https://academa.ai/lectures/planar-truss-method-of-joints 2026-08-28T19:33:31.701Z https://academa.ai/media/l/01M14TYF4MA5MTVE5SWD76QWSG/0/dark/poster.jpg Planar Truss Analysis: Method of Joints Analyse one planar truss by the method of joints: support reactions, joint equilibrium, tension and compression signs, zero force members. https://academa.ai/media/l/01M14TYF4MA5MTVE5SWD76QWSG/0/dark/master.m3u8 936 2026-08-28T19:33:31.701Z 4 no no Engineering https://academa.ai/lectures/poisson-processes-and-waiting-times 2026-08-28T22:52:00.000Z https://academa.ai/media/l/01M14V07J37P7MMQN9J7QVK3JS/0/dark/poster.jpg Rare Events in Continuous Time: From Poisson Arrivals to Exponential Waiting Times Derive Poisson counts and exponential waiting times from tiny independent intervals, then test their predictions with arrival data. https://academa.ai/media/l/01M14V07J37P7MMQN9J7QVK3JS/0/dark/master.m3u8 788 2026-08-28T22:52:00.000Z no no Statistics https://academa.ai/lectures/regex-to-automata 2026-08-28T18:49:39.333Z https://academa.ai/media/l/01M14TXMSYRCBP5CTHVWH3TN01/0/dark/poster.jpg Automata Behind Regular Expressions Build the state machine behind a regular expression, run a string through it, determinise it, and meet the two things regexes cannot do. https://academa.ai/media/l/01M14TXMSYRCBP5CTHVWH3TN01/0/dark/master.m3u8 1060 2026-08-28T18:49:39.333Z no no Computer Science https://academa.ai/lectures/second-price-auctions-and-honest-bidding 2026-08-28T18:55:54.598Z https://academa.ai/media/l/01M14TXWNP8RS8MQP0KDSRPNQJ/0/dark/poster.jpg Why Truthful Bidding Works—and Why First-Price Bidders Shade See truthful bidding proved by cases, first-price bid shading derived from incentives, and revenue equivalence stated with its assumptions. https://academa.ai/media/l/01M14TXWNP8RS8MQP0KDSRPNQJ/0/dark/master.m3u8 769 2026-08-28T18:55:54.598Z no no Economics https://academa.ai/lectures/simpsons-paradox 2026-08-28T22:52:01.000Z https://academa.ai/media/l/01M14V08QADQC9R72387G10J4E/0/dark/poster.jpg When Every Subgroup Agrees but the Total Reverses the Result A concrete treatment example reveals Simpson's paradox, shows its unequal-weight geometry, and explains when pooled rates mislead. https://academa.ai/media/l/01M14V08QADQC9R72387G10J4E/0/dark/master.m3u8 739 2026-08-28T22:52:01.000Z no no Statistics https://academa.ai/lectures/solving-2-2-games-best-responses-pure-and-mixed-nash-equilibria 2026-08-28T19:07:13.510Z https://academa.ai/media/l/01M14TXXS3DT7ZDH2RQ7RMREF3/0/dark/poster.jpg Solving 2×2 Games by Hand: Best Responses, Pure Equilibria, and Mixing Solve 2×2 games by hand using payoff matrices, best-response marks, pure Nash equilibria, expected payoffs, and mixed strategies. https://academa.ai/media/l/01M14TXXS3DT7ZDH2RQ7RMREF3/0/dark/master.m3u8 1402 2026-08-28T19:07:13.510Z 1 no no Economics https://academa.ai/lectures/stokes-theorem-in-practice 2026-08-28T22:51:42.000Z https://academa.ai/media/l/01M14TZG80Q03WZ8E386YW13DE/0/dark/poster.jpg Stokes' Theorem in Practice Stokes' theorem on one exam question: swap the walk around the circle for the flux through the disc, and read the normal off the wording. https://academa.ai/media/l/01M14TZG80Q03WZ8E386YW13DE/0/dark/master.m3u8 281 2026-08-28T22:51:42.000Z no no Mathematics https://academa.ai/lectures/supply-and-demand-actually-moving 2026-08-28T19:00:13.108Z https://academa.ai/media/l/01M14TXYVM991EQBXEF3E9CSZ8/0/dark/poster.jpg Supply and Demand in Motion: Equilibrium, Shifts, and Movements Along Curves Learn supply, demand, and equilibrium, then see how harvests, tastes, and new competitors shift curves and change market outcomes. https://academa.ai/media/l/01M14TXYVM991EQBXEF3E9CSZ8/0/dark/master.m3u8 855 2026-08-28T19:00:13.108Z 1 no no Economics https://academa.ai/lectures/taylor-sine-convergence-failures 2026-08-28T22:51:43.000Z https://academa.ai/media/l/01M14TZH5WP4FCKCDDNKB7CV0C/0/dark/poster.jpg Building the Taylor Series: Convergence and Failure Build the Taylor polynomial of sine term by term, then see why the remainder, not the series, makes the equals sign true. https://academa.ai/media/l/01M14TZH5WP4FCKCDDNKB7CV0C/0/dark/master.m3u8 979 2026-08-28T22:51:43.000Z no no Mathematics https://academa.ai/lectures/the-bootstrap 2026-08-28T22:52:03.000Z https://academa.ai/media/l/01M14V0AHYWZF0P1T6RW5XS3TD/0/dark/poster.jpg The Bootstrap: Measuring How Much Your Estimate Could Have Wobbled Learn bootstrap resampling through the mean and median, then see its assumptions, interpretation, and classic failure for sample maxima. https://academa.ai/media/l/01M14V0AHYWZF0P1T6RW5XS3TD/0/dark/master.m3u8 1031 2026-08-28T22:52:03.000Z no no Statistics https://academa.ai/lectures/the-brachistochrone 2026-08-28T22:51:51.000Z https://academa.ai/media/l/01M14TZYNYGJ0W3XXX2XGCG6JD/0/dark/poster.jpg The Fastest Slide: Why the Cycloid Beats the Straight Line Race three slides, derive the brachistochrone by calculus of variations, and see why every release height on a cycloid shares one arrival time. https://academa.ai/media/l/01M14TZYNYGJ0W3XXX2XGCG6JD/0/dark/master.m3u8 678 2026-08-28T22:51:51.000Z no no Physics https://academa.ai/lectures/the-market-for-lemons-how-hidden-quality-can-cause-a-market-collapse 2026-08-28T19:02:30.409Z https://academa.ai/media/l/01M14TY00VQ11Q8J1N1K0J94Z1/0/dark/poster.jpg The Market for Lemons: How Hidden Quality Can Make Good Products Disappear A used-car example explains adverse selection, market unraveling, the value of visible quality, and what common repairs actually fix. https://academa.ai/media/l/01M14TY00VQ11Q8J1N1K0J94Z1/0/dark/master.m3u8 753 2026-08-28T19:02:30.409Z no no Economics https://academa.ai/lectures/the-method-of-characteristics 2026-08-28T22:51:44.000Z https://academa.ai/media/l/01M14TZPH69VE3VGWWFYD6E49T/0/dark/poster.jpg The Method of Characteristics Walk along the right curves and a first-order PDE becomes an ODE: characteristics, the solution f(x - ct), and where shocks come from. https://academa.ai/media/l/01M14TZPH69VE3VGWWFYD6E49T/0/dark/master.m3u8 778 2026-08-28T22:51:44.000Z no no Mathematics https://academa.ai/lectures/the-particle-in-a-box 2026-08-28T22:51:52.000Z https://academa.ai/media/l/01M14TZZSX238T89EBZHGVYW3N/0/dark/poster.jpg Why Energy Is Quantised: From Standing Waves to Coloured Molecules Why confined waves admit discrete energies, how box size controls spacing, and how the same model explains trends in conjugated dye colours. https://academa.ai/media/l/01M14TZZSX238T89EBZHGVYW3N/0/dark/master.m3u8 802 2026-08-28T22:51:52.000Z 1 no no Physics https://academa.ai/lectures/the-transformer-from-recurrence-failure-to-attention 2026-08-28T22:51:30.000Z https://academa.ai/media/l/01M14TZ0Q0TKW4CVRFKXFBR5VP/0/dark/poster.jpg The Transformer: From Recurrence Failure to Attention Build the Transformer from the failure of recurrence: queries, keys, values, scaled dot-product attention, many heads, and position. https://academa.ai/media/l/01M14TZ0Q0TKW4CVRFKXFBR5VP/0/dark/master.m3u8 1316 2026-08-28T22:51:30.000Z no no Machine Learning https://academa.ai/lectures/three-sat-vertex-cover-reduction 2026-08-28T18:50:14.620Z https://academa.ai/media/l/01M14TXPGH643NHQ5B5ZQFEB15/0/dark/poster.jpg NP-Completeness and Reduction: From Definitions to the 3-SAT to Vertex Cover Proof P and NP defined by verifiers, then the 3-SAT to Vertex Cover reduction built and argued in both directions on one formula. https://academa.ai/media/l/01M14TXPGH643NHQ5B5ZQFEB15/0/dark/master.m3u8 1262 2026-08-28T18:50:14.620Z 1 no no Computer Science https://academa.ai/lectures/time-dilation-from-a-light-clock 2026-08-28T22:51:53.000Z https://academa.ai/media/l/01M14V00YG9JJ7KZM2ECASKC0D/0/dark/poster.jpg Special Relativity: Light Clocks, Spacetime, and the Twin Paradox Derive time dilation and length contraction, understand simultaneity, resolve the twin paradox, and explain atmospheric muons. https://academa.ai/media/l/01M14V00YG9JJ7KZM2ECASKC0D/0/dark/master.m3u8 1154 2026-08-28T22:51:53.000Z no no Physics https://academa.ai/lectures/torsion-shafts 2026-08-28T19:38:08.598Z https://academa.ai/media/l/01M14TYG4BTT9C22N6DCGBTAD6/0/dark/poster.jpg Torsion: From Geometry to Shaft Design How twisting a round shaft gives shear strain linear in radius, the torque integral, the polar moment of area, and why drive shafts are tubes. https://academa.ai/media/l/01M14TYG4BTT9C22N6DCGBTAD6/0/dark/master.m3u8 777 2026-08-28T19:38:08.598Z 3 no no Engineering https://academa.ai/lectures/who-really-pays-a-tax 2026-08-28T19:08:28.849Z https://academa.ai/media/l/01M14TY1BMNC4JY71B5DAKBZMS/0/dark/poster.jpg Who Really Bears a Tax? Tax Incidence, Elasticity, and Deadweight Loss See how elasticities split a per-unit tax, why remittance rules do not decide incidence, and why deadweight loss rises with tax squared. https://academa.ai/media/l/01M14TY1BMNC4JY71B5DAKBZMS/0/dark/master.m3u8 814 2026-08-28T19:08:28.849Z 3 no no Economics https://academa.ai/lectures/why-the-rainbow-sits-at-42-degrees 2026-08-28T22:51:54.000Z https://academa.ai/media/l/01M14V024XDHCN3G9SQFQ9ZS42/0/dark/poster.jpg Why the Rainbow Sits at 42 Degrees Derive the rainbow's 42 degree angle from one raindrop: refraction, one internal reflection, and the minimum of the deviation curve. https://academa.ai/media/l/01M14V024XDHCN3G9SQFQ9ZS42/0/dark/master.m3u8 556 2026-08-28T22:51:54.000Z 1 no no Physics https://academa.ai/pricing https://academa.ai/privacy https://academa.ai/subjects/computer-science https://academa.ai/subjects/economics https://academa.ai/subjects/engineering https://academa.ai/subjects/machine-learning https://academa.ai/subjects/mathematics https://academa.ai/subjects/physics https://academa.ai/subjects/statistics https://academa.ai/team https://academa.ai/terms