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1:10
YouTube
Wolfram
3D Graphing in Mathematica 6 with Abby Brown
http://www.wolfram.com/screencasts Abby Brown shows off Wolfram Mathematica's ability to produce 3D graphs instantly.
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May 29, 2008
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An Interactive Experience: Teaching Mathematics with Mathematica
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Ripplegraphy – Mesmerizing 3D mathematical ripplesA dynamic 3D surface plot showing concentric waves radiating outward, like a pebble dropped in a pond. Formula:f(x, y) = sin(10 × ((x/d)² + (y/d)²)) / 5
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3 weeks ago
x.com
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آموزش متمتیکا Mathematica قسمت ۱
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The spherical triple integral builds the sphere’s volume slice by slice, ρ² sinφ dρ dθ dφ guiding every infinitesimal shell.Red dots tracing the radius, blue sector sweeping the angle, green base anchoring height; lands exactly on 4/3πR³.
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2 months ago
x.com
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0:29
∑ F_i = M a∑ τ_i = I αWatching individual ants with near-zero global visibility cooperatively transport a large rigid payload through a constrained T-shaped aperture using purely local force and torque interactions. This is a live demonstration of emergent coordination via distributed physics-based optimization. No central controller or lead architect: just local sensing, attachment forces, stochastic adjustments, and collective "noise" enabling the group to discover viable rotation-translation
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2 months ago
x.com
Mathematica
0:41
5×5 lattice. One node perturbed. The discrete heat equation unfolds in real time: ∂u/∂t = αΔu, solved via finite differences. A single thermal impulse diffuses outward, colors bleeding through the grid like living eigenvectors.
13.3K views
3 months ago
x.com
Mathematica
0:17
F = ma meets a² + b² = c²Three strings. Three masses: 3m, 4m, 5m.Pulleys, gravity, equilibrium.The tensions balance perfectly only when the angles form a right triangle; because the vector sum closes exactly when the sides satisfy 3² + 4² = 5².You don't just see the theorem.You feel the forces prove it in real time. The strings go slack or snap out of balance the instant you break the ratio.This is why your bridge doesn't collapse, why your rocket hits orbit, and why the Pythagorean theorem isn'
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The most underrated math theorem but Google secretly used it to change the world.Perron-Frobenius Theorem (positive matrix version): Let A be an n×n matrix with every entry a_{ij} > 0. Then there exists a unique positive real number λ > 0 (the Perron root) and a unique (up to scaling) positive vector x > 0 such that:A x = λ xMoreover:λ = ρ(A) (spectral radius of A)λ > |μ| for every other eigenvalue μλ is simple (algebraic multiplicity = 1)Your search results aren't just a list; they are the coor
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sin(θ) and cos(θ) are the living projections of a point moving in perfect circular motion; sliced onto the x- and y-axes as time marches forward. One axis captures the “horizontal” shadow, the other the “vertical.” That’s it. That’s the entire origin story of trigonometry.
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2 months ago
x.com
Mathematica
0:30
r(θ) = a + b·cos(nθ) via discrete radial lines. Debug mode: pole orbits circle, each L_k(t) = (1-t)·P + t·(a·cosθ_k, a·sinθ_k). Envelope theorem yields caustics like Huygens wavefronts in optics. Straight lines birthing curves is peak math.
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2 months ago
x.com
Mathematica
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