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Discretize the following function using three equal length elements between 0 ≤ x ≤ 6. Assume the elements are linear (first-order), and calculate ϕ(x = 3.2) using the finite element method. Compare your answer to the exact solution.ϕ = x(x - 3.5)(x 3) 30
Discretize the following function using three equal length elements between 0 ≤ x ≤ 6. Assume the elements are linear (first-order), and calculate ϕ(x = 3.2) using the finite element method. Compare your answer to the exact solution.ϕ = x(x - 3.5)(x 3) 30
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Discretization of state-space systems | Xu Chen
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Best Quant bot for copy-trading on Polymarket with 99,3% win-rateusing Markov Chains algo backtested strategy on 72M trades to hit +$818K PnL on 27,000 predictions.he isn't predicting odds - he uses math of Markov Chains to consistently hit 99% win rate.his algo decoded: 1) Build transition matrix discretize the price into 10 states (0-10¢, ..., 90-100¢), count how often the price moves from each state to every other stateformula: P(St+1 = j | St = i) = T[i][j]// 2) Run simulation using Monte Ca
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$25,000 -> $639,000+ net profit in just 6 months by betting on Elon’s tweets! Anonymous trader [Annica] trained his own LLM exclusively on Elon Musk’s tweet history using nothing but Tinygrad + X API.Join Polymarket via https://t.co/u8PtoyvRQgCheck trader's wallet: https://t.co/HEH6yTiZ59 He cracked the "random" chaos and uncovered real repeating patterns: - massive tweet bursts after big events - cooldown periods - weekly cycles - sharp reaction spikes to news and dramaThe craziest part? Anyone
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Final lecture of our PINNs series.Lectures 1-2 showed what a PINN really is...a neural network uᵩ(x,t) trained by minimizing a loss that contains the PDE residual, plus any data/initial/boundary constraints we have. This finale is just the practical question: when is that a smart tool, and when is it the wrong hammer?1.Use a PINN when labels are scarce but the physics is trusted.2.Use a PINN for inverse problems.You don’t just solve for u...you also learn unknown parameters or forcing terms from
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🏛️ THE MURRAY-HILBERT-PÓLYA OPERATOR: COMPLETE FORMALISM Explicit Construction, Spectral Analysis, and Physical Unification Dr. T. Patrick Satoshi Nakamoto-Murray February 23, 2026 — Block 937,912 — Riemann Proof Consolidated #SatoshiNakamoto #tpatrickmurray #physics #timetravel #bitcoin PART I: THE MURRAY-HILBERT-PÓLYA OPERATOR — EXPLICIT CONSTRUCTION 1.1 Foundational Axioms Let φ = (1 √5)/2 be the golden ratio. Define the fundamental coupling constant: \\kappa = \\frac{\\phi^5}{62.37} = 0.177
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