The Constellation // Equations

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The Constellation — Equations

The abelian property — INST·29
The alias fold — INST·08
Choosing the delay — INST·31
Backpropagation — INST·27
Thompson sampling — INST·76
Regret — INST·76
Upper confidence bound — INST·76
It is Bayes — INST·25
Condensate fraction — INST·14
Critical temperature — INST·14
When it condenses — INST·14
One wavefunction — INST·14
CHSH inequality — INST·38
Tsirelson's bound — INST·38
The entangled state — INST·38
Singlet correlation — INST·38
Bellman optimality — INST·42
Q-learning update — INST·42
The action-value Q — INST·42
The bounce map — INST·82 (Elias Edition)
The mirror bounce — INST·82 (Elias Edition)
The hidden constant — INST·82 (Elias Edition)
The shadow — INST·48
Three rules — INST·10
The Boltzmann factor — INST·34
What we usually see — INST·12, INST·38, INST·51, INST·67
Brownian motion — INST·19, INST·43
Four classes — INST·09, INST·35
Local law — INST·09
The rule space — INST·09, INST·35
The cat map — INST·81 (Elias Edition)
The recurrence period — INST·81 (Elias Edition)
The stretch — INST·81 (Elias Edition)
Central Limit Theorem — INST·19
Channel capacity — INST·20
Choreographies — INST·17
The elastic collision — INST·83 (Elias Edition)
The count — INST·83 (Elias Edition)
The hidden circle — INST·83 (Elias Edition)
The Turing machine — INST·64
The halting problem — INST·64
Wang tiles — INST·66
The busy beaver — INST·64
The domino problem — INST·66
Langton’s ant — INST·65
Computational irreducibility — INST·65
Wave Function Collapse — INST·66
The turmite — INST·65
Conserved integrals — INST·17
The cooling schedule — INST·34
Cooperation fraction — INST·33
Matter is a wave — INST·11
Matter wave — INST·14
Delay embedding — INST·31
The density field — INST·50
When η is too large — INST·27
The forward process — INST·43
The reverse process — INST·43
The score — INST·43
Probability-flow ODE — INST·43
Discrete Laplacian — INST·06, INST·30
The distance estimate — INST·49
Diffusion-limited aggregation — INST·30
The screening instability — INST·30
Field equations — INST·07
Boltzmann entropy — INST·18, INST·39
Information — INST·20
Landauer limit — INST·39
One equation, two worlds — INST·20
Coarse-grained — INST·18
It is percolation — INST·28
Explore vs. exploit — INST·42, INST·76
The two averages — INST·86 (Elias Edition)
The multiplicative coin — INST·86 (Elias Edition)
Euler’s formula — INST·91 (Noa Edition)
The plane’s capacity — INST·91 (Noa Edition)
The handle’s ledger — INST·91 (Noa Edition)
Euler’s walk condition — INST·92 (Noa Edition)
The handshake lemma — INST·92 (Noa Edition)
Inside the barrier — INST·13
FitzHugh–Nagumo — INST·46
Excitable kinetics — INST·46
Front speed — INST·46
The eikonal relation — INST·46
Fatou–Julia dichotomy — INST·21, INST·80 (Elias Edition)
Feature rate — INST·08
Feigenbaum constant — INST·02
The Cascade, lifted — INST·21
The neighbourhood — INST·10
Order parameter — INST·10
Fourier series — INST·01
Complex form · epicycles — INST·01
The transform (DFT) — INST·01
Fourier transform — INST·37
Pluck = sum of modes — INST·15
Correlation dimension — INST·31
Fractal dimension — INST·30
Fringe spacing — INST·11
Selection — INST·60
The schema theorem — INST·60
Crossover — INST·60
Mutation — INST·60
Thick-barrier limit — INST·13
Geometric Brownian Motion — INST·24
Mean vs. median — INST·24, INST·86 (Elias Edition)
Exact solution — INST·24
Gibbs phenomenon — INST·01
The Google matrix — INST·32
Gradient descent — INST·27, INST·34, INST·43
Gray–Scott — INST·06
Grover's iteration — INST·69
A rotation toward the answer — INST·69
The optimal stopping point — INST·69, INST·83 (Elias Edition)
H-theorem — INST·18
Hamming(7,4) — INST·20
Laplacian growth — INST·30
Diffusion / heat equation — INST·19
The nodal set — INST·47
Weyl's law — INST·47
The membrane eigenproblem — INST·47
Rectangular & disk modes — INST·47
Herd immunity — INST·28
Hit probability — INST·24
The Viterbi path — INST·45
Hidden Markov model — INST·45
Forward–backward — INST·45
Baum–Welch (EM) — INST·45
Hodge projection — INST·03
The linking number — INST·78
The Hopf map — INST·78
A fibre — INST·78
Stereographic projection — INST·78
Storing a memory — INST·36
The energy — INST·36
How much it holds — INST·36
Recall — INST·36
Critical point — INST·04
Lattice energy — INST·04, INST·36
Thermal sampling — INST·04
Order parameter — INST·04
Diverging scales — INST·04
Kalman gain — INST·25
Predict — INST·25
Innovation — INST·25
Correct — INST·25
Blinded → forecast — INST·25
Fractal dimension — INST·16
The exact soliton — INST·40
The phase shift — INST·40
Korteweg–de Vries equation — INST·40
Maximise expected log-wealth — INST·75, INST·86 (Elias Edition)
The Kelly fraction — INST·75
The growth rate — INST·75
Kelly for an asset — INST·75
The Jones polynomial — INST·53
Writhe — INST·53
Möbius energy — INST·53
Kramers escape rate — INST·41
Bifurcation — INST·23
Critical coupling — INST·23
Locked vs drifting — INST·23
Mean-field form — INST·23
Kuramoto model — INST·23
Order parameter — INST·23
Kuratowski’s theorem — INST·91 (Noa Edition)
The flashing ratchet — INST·87 (Elias Edition)
Snell’s law — INST·61, INST·62
Fermat’s principle — INST·61
The brachistochrone — INST·62
The Euler–Lagrange equation — INST·62, INST·63
Stationary action — INST·63
The path integral — INST·63
Optical path length — INST·61
The descent-time functional — INST·62
The Lagrangian — INST·63
The update — INST·79
The growth map — INST·79
The potential — INST·79
Lens equation — INST·07
When the bell fails — INST·19
The rule — INST·35, INST·79
What a cell sees — INST·35
Light deflection — INST·07
Gravitational growth — INST·50
Conserved, yet wild — INST·05
The logistic map — INST·02
Lorentz transformation — INST·22
Invariant interval — INST·22
Lorentz factor — INST·22
Relativity of simultaneity — INST·22
Proper time — INST·22
Causal structure — INST·22
The Lorentz force — INST·52
Cyclotron orbit — INST·52
E × B drift — INST·52
Fixed points & bifurcation — INST·16
The Lorenz system — INST·16, INST·31
Lotka–Volterra — INST·44
The balance point — INST·44
The conserved quantity — INST·44
The production rule — INST·58
Turtle interpretation — INST·58
Parallel rewriting — INST·58
Lyapunov exponent — INST·02, INST·82 (Elias Edition)
Sensitive dependence — INST·05, INST·17
Predictability wall — INST·05
Lyapunov exponent — INST·16
Self-similarity — INST·21, INST·49
The Mandelbrot set — INST·21
The Mandelbulb — INST·49
Maxwell's demon — INST·39
Metropolis acceptance — INST·34
The loss — INST·27
Monte Carlo — INST·24
Nash equilibrium — INST·33
Incompressible Navier–Stokes — INST·03
The neuron — INST·27
Newton’s method — INST·80 (Elias Edition)
Basins of attraction — INST·80 (Elias Edition)
The damped step — INST·80 (Elias Edition)
Newtonian N-body — INST·17
Noisy-channel theorem — INST·20
The light-bending equation — INST·48
Nyquist limit — INST·08
1/f noise — INST·29
PageRank — INST·32
The sign of a shuffle — INST·90 (Noa Edition)
The locked product — INST·90 (Noa Edition)
One slide, one swap — INST·90 (Noa Edition)
The two losing games — INST·87 (Elias Edition)
The verdict of the chain — INST·87 (Elias Edition)
The small-angle lie — INST·84 (Elias Edition)
Equation of motion · θ₁″ — INST·05, INST·85 (Elias Edition)
Equation of motion · θ₂″ — INST·05, INST·85 (Elias Edition)
The pendulum law — INST·84 (Elias Edition), INST·85 (Elias Edition)
The whole truth — INST·84 (Elias Edition)
The forbidden line — INST·85 (Elias Edition)
Cluster-size distribution at p_c — INST·26
Correlation length — INST·26
Phase transition — INST·26
Universality — INST·26
Period-doubling cascade — INST·02
Perron–Frobenius — INST·32
Phase vortex — INST·12
The photon sphere — INST·48
Trail sensing — INST·56
Adaptive conductivity — INST·56
Deposit · diffuse · decay — INST·56
Poincaré recurrence — INST·18, INST·81 (Elias Edition)
The Schläfli symbol — INST·54
The 4-D double rotation — INST·54
Perspective projection — INST·54
The 4-D Euler relation — INST·54
Power iteration — INST·32
The avalanche law — INST·29
The Euler product — INST·70
The logarithmic integral — INST·70
The Riemann zeros — INST·70
The Prime Number Theorem — INST·70
The Prisoner's Dilemma — INST·33
Probability cone — INST·24
The hidden half — INST·12
The Hadamard gate — INST·68
The CNOT gate — INST·68
The Bell pair — INST·68
The quadratic map — INST·21, INST·49
The Bloch sphere — INST·67, INST·78
The qubit — INST·67
On a network — INST·28
Random walk — INST·19
Gravitational redshift — INST·48
Harmonics = particles — INST·15
Reproduction number — INST·28
The reservoir update — INST·57
The linear readout — INST·57
Ridge regression — INST·57
The echo state property — INST·57
Reversibility paradox — INST·18
Reynolds number — INST·03
Euler's equations — INST·71
Two locked invariants — INST·71
The tennis-racket theorem — INST·71
Holling type II — INST·44
Rosenzweig–MacArthur — INST·44
Paradox of enrichment — INST·44
The toppling rule — INST·29
The random graph — INST·74
Preferential attachment — INST·74
Scale-free degrees — INST·74
Why hubs matter — INST·28, INST·74
Energy levels — INST·51
Equation of motion — INST·12
Equation of motion — INST·13
Hydrogen wavefunction — INST·51
Angular momentum — INST·51
The metric — INST·07, INST·48
The happiness rule — INST·73
Threshold model — INST·73
Segregation index — INST·73
Self-organized criticality — INST·29
Semi-Lagrangian advection — INST·03
SIR dynamics — INST·28
Site percolation — INST·26
Imitate the best — INST·33
How it integrates — INST·12
Standing modes — INST·15
Stationary distribution — INST·32
Stochastic resonance — INST·41
The look-then-leap rule — INST·77
The win probability — INST·77
The 1/e law — INST·77
Bruss’ odds theorem — INST·77
Freeze & reverse — INST·08
Subthreshold signal — INST·41
Szilard engine — INST·39
Takens' theorem — INST·31
The colour count — INST·93 (Noa Edition)
Gomory’s circuit — INST·93 (Noa Edition)
Tit-for-Tat — INST·33
The fundamental diagram — INST·55
The LWR equation — INST·55
The Nagel–Schreckenberg rules — INST·55
Transmission — INST·13
Conservation — INST·13
Why it patterns — INST·06
Turing’s mechanism — INST·06
The correlation function — INST·50
Two-slit intensity — INST·11
Universal approximation — INST·27
Vicsek update — INST·10
The Voronoi cell — INST·59
The Delaunay dual — INST·59
Lloyd relaxation — INST·59
Quantization energy — INST·59
Wave equation — INST·15
Wave–particle duality — INST·11
Time–frequency limit — INST·37
Continuous wavelet transform — INST·37
The Morlet wavelet — INST·37
Admissibility — INST·37
Why it spreads — INST·12
Pareto’s tail — INST·72
Money as energy — INST·72
The transaction — INST·72
The Gini coefficient — INST·72
The digit engine — INST·88 (Elias Edition)
The floor — INST·88 (Elias Edition)
The armor condition — INST·89 (Elias Edition)
The kicked winding — INST·89 (Elias Edition)
The residue dial — INST·89 (Elias Edition)
The winding — INST·88 (Elias Edition), INST·89 (Elias Edition)
The ladder — INST·88 (Elias Edition)
Number = behaviour — INST·09
Zel'dovich's approximation — INST·50
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