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Oldies but goldies: Y Nesterov, A method for solving a convex programming problem with convergence rate O(1/k^2). Improves the 1/k rate of vanilla gradient descent to 1/k^2.

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Gabriel Peyré

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47,944 görüntüleme • 1 yıl önce •via X (Twitter)

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Sensitive content

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1. Spatial Constraints & Magnitude: K(u) = A₁ * cos(u / λ₁) E(v) = (v / λ₂) - δ_offset Distance Driver: D(u,v) = √( K(u)² + E(v)² ) 2. Pulsation Kinematics: Q(u,v,t) = αsin(2K) + (β/K) + sin(v/λ₃) * K * [γ + εsin(ω₁E - ω₂D + ω₃t)] ↳ The (β/K) term creates the asymptotic stretch of the tentacles, while the nested sine waves act as a damped harmonic oscillator for the contraction of the bell. pause - push - pause - push (action) 3. Polar-to-Cartesian Mapping Rotational Phase: θ(u,v,t) = D(u,v) - t X(u,v,t) = Q * cos(θ) * S_x + C_x Y(u,v,t) = Q * sin(θ) + S_y * D - C_y 4. Particle Sizing Filter: Radius = K(u)² > τ ? 2 : 1 Alpha-Blended Buffer: C_final = (1 - ρ) * C_new + ρ * C_buffer (u,v = particle indices, t = continuous time, ρ = retention rate for trails)

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Emmet Sheehan in September: 5.2 IP, 1 ER, 3 H, 10 K 6 IP, 0 ER, 2 H, 5 K 5.1 IP, 0 ER, 1 H, 9 K (today)

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Caden Dana tonight for Single-A Inland Empire: 5 IP, 3 H, 1 R, 1 ER, 1 BB, 5 K (Fastball was 95 mph on the first K)
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Caden Dana tonight for Single-A Inland Empire: 5 IP, 3 H, 1 R, 1 ER, 1 BB, 5 K (Fastball was 95 mph on the first K)

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Oldies but goldies: J Nelder, R Mead, A simplex method for function minimization, 1965. Nelder-Mead is a popular derivative-free optimization method that performs a heuristic greedy search.
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Oldies but goldies: J Nelder, R Mead, A simplex method for function minimization, 1965. Nelder-Mead is a popular derivative-free optimization method that performs a heuristic greedy search.

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Oldies but goldies: L. Greengard and V. Rokhlin, A Fast Algorithm for Particle Simulations, 1987. Evaluates in O(n) in place of O(n^2) sums involving long-range interaction kernels.
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Oldies but goldies: L. Greengard and V. Rokhlin, A Fast Algorithm for Particle Simulations, 1987. Evaluates in O(n) in place of O(n^2) sums involving long-range interaction kernels.

Gabriel Peyré

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‘27 RHP Boston Brown (AL) with a very fast start to bracket play. 1-2-3 in the first with a K. Sat 90-91 with explosive life up; upper-70s SL & CH @ 80. SL-SL-FB for a K here. #WarEagle commit. #WWBAWorlds PG Deep South
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‘27 RHP Boston Brown (AL) with a very fast start to bracket play. 1-2-3 in the first with a K. Sat 90-91 with explosive life up; upper-70s SL & CH @ 80. SL-SL-FB for a K here. #WarEagle commit. #WWBAWorlds PG Deep South

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a=(x,y,o=mag(k=x/4-12.5,e=y/9+9)/9)=>point((q=x+39+y+1/k+o*k*(cos(y)/4+cos(e))*sin(o*4-t))*.7*sin(c=o+e/99-t/8+i%2*3)+200,200+y/2*cos(c*4-o)-q/2*cos(c)) t=0,draw=$=>{t||createCanvas(w=400,w);background(6).stroke(w,46);for(t+=PI/60,i=4e4;i--;)a(i/2%100,i/350)}//#つぶやきProcessing
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a=(x,y,o=mag(k=x/4-12.5,e=y/9+9)/9)=>point((q=x+39+y+1/k+o*k*(cos(y)/4+cos(e))*sin(o*4-t))*.7*sin(c=o+e/99-t/8+i%2*3)+200,200+y/2*cos(c*4-o)-q/2*cos(c)) t=0,draw=$=>{t||createCanvas(w=400,w);background(6).stroke(w,46);for(t+=PI/60,i=4e4;i--;)a(i/2%100,i/350)}//#つぶやきProcessing

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ROSÉ on the main Billboard 2025 Year-end charts: #1. Song of the Year on both Billboard Global 200 & Excl. US #1. Song of the year by a K-act on Billboard Hot 100 (#9 overall) #1. K-act of the year (Artist 100) #1. K-act album of the year (Billboard 200)

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Another round of applause for Brandon 👏 6.2 IP | 7 H | 2 R | 1 BB | 7 K
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Another round of applause for Brandon 👏 6.2 IP | 7 H | 2 R | 1 BB | 7 K

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