13 Mathematica - Search Videos

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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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

Mathematica (@mathemetica). 9 replies. 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.

56.2K views2 months ago

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Gauss-Lucas theorem: derivative roots lie in convex hull of P roots. Animation shows them pulling inward with each differentiation, hull shrinking. Degree-12 poly: roots converge to barycenter after 11 steps. Raw math visualization (insane).

Gauss-Lucas theorem: derivative roots lie in convex hull of P roots. Animation shows them pulling inward with each differentiation, hull shrinking. Degree-12 poly: roots converge to barycenter after 11 steps. Raw math visualization (insane).

x.comMathematica

44.5K views2 months ago

$3D visualization of Euler’s formula: e^{jθ} = cos(θ) + j sin(θ).A point traces the unit circle in the complex plane while red, green, and blue curves project the cosine, sine, and exponential paths along the θ-axis.$

3D visualization of Euler’s formula: e^{jθ} = cos(θ) + j sin(θ).A point traces the unit circle in the complex plane while red, green, and blue curves project the cosine, sine, and exponential paths along the θ-axis.

x.comMathematica

219.7K views3 months ago

Discrete topology meets nonlinear dynamics in this higher-order nodal network. Irrotational and solenoidal flows synchronize, diffuse, and self-organize into emergent collective states.The quiet mathematics powering next-gen ML and neural rhythms.

Discrete topology meets nonlinear dynamics in this higher-order nodal network. Irrotational and solenoidal flows synchronize, diffuse, and self-organize into emergent collective states.The quiet mathematics powering next-gen ML and neural rhythms.

x.comMathematica

15.6K views3 months ago

Mathematica Projects

Getting Started with Mathematica

Getting Started with Mathematica

YouTubeChristopher Lum

138.1K viewsSep 28, 2018

Mathematica Basics

Mathematica Basics

136.3K viewsSep 2, 2010

Basic Things You Need To Know To Start With MATHEMATICA | Tutorial-1(ENG)

Basic Things You Need To Know To Start With MATHEMATICA | Tutorial-1(ENG)

YouTubePhyLosophy

107.3K viewsJun 9, 2020

Gauss-Lucas theorem: derivative roots lie in convex hull of P roots. Animation shows them pulling inward with each differentiation, hull shrinking. Degree-12 poly: roots converge to barycenter after 11 steps. Raw math visualization (insane).

Gauss-Lucas theorem: derivative roots lie in convex hull of P roots. Animation shows them pulling inward with each differentiation, hull shrinking. Degree-12 poly: roots converge to barycenter after 11 steps. Raw math visualization (insane).

44.5K views2 months ago

x.comMathematica

$3D visualization of Euler’s formula: e^{jθ} = cos(θ) + j sin(θ).A point traces the unit circle in the complex plane while red, green, and blue curves project the cosine, sine, and exponential paths along the θ-axis.$

3D visualization of Euler’s formula: e^{jθ} = cos(θ) + j sin(θ).A point traces the unit circle in the complex plane while red, green, and blue curves project the cosine, sine, and exponential paths along the θ-axis.

219.7K views3 months ago

x.comMathematica

Discrete topology meets nonlinear dynamics in this higher-order nodal network. Irrotational and solenoidal flows synchronize, diffuse, and self-organize into emergent collective states.The quiet mathematics powering next-gen ML and neural rhythms.

Discrete topology meets nonlinear dynamics in this higher-order nodal network. Irrotational and solenoidal flows synchronize, diffuse, and self-organize into emergent collective states.The quiet mathematics powering next-gen ML and neural rhythms.

15.6K views3 months ago

x.comMathematica

$Watch this fractal binary tree grow iteratively. It's incredible how simple recursive algorithms can generate such lifelike complexity.$

Watch this fractal binary tree grow iteratively. It's incredible how simple recursive algorithms can generate such lifelike complexity.

8.5K views1 month ago

x.comMathematica

Watch points instantly snap to their nearest neighbor center; arrows show the magnetic pull in real time!Local greedy rule produces macroscopic order; perfect swirling dipoles one moment, full turbulence the next.

Watch points instantly snap to their nearest neighbor center; arrows show the magnetic pull in real time!Local greedy rule produces macroscopic order; perfect swirling dipoles one moment, full turbulence the next.

32.8K views3 months ago

x.comMathematica

The wave equation in spherical coords: ∇²Φ = (1/c²)∂²Φ/∂t² drives these levitated droplets into pure l=3 & l=4 modes. Watching a water drop morph into perfect triangular stars & quadrupolar symmetry at ultrasonic resonance is pure fluid poetry.

The wave equation in spherical coords: ∇²Φ = (1/c²)∂²Φ/∂t² drives these levitated droplets into pure l=3 & l=4 modes. Watching a water drop morph into perfect triangular stars & quadrupolar symmetry at ultrasonic resonance is pure fluid poetry.

100.9K views2 months ago

x.comMathematica

Shade the even entries in Pascal’s Triangle (just mod 2) and the Sierpinski Triangle literally emerges from simple addition.This is Lucas’s Theorem unfolding the hidden recursive symmetry buried inside binomial coefficients.> Binary Logic: C(n,k) is odd only if every 1-bit in k’s binary is also a 1-bit in n’s. > Fractal Convergence: Density of odd entries → 0 as rows grow, forming the classic Sierpinski gasket with Hausdorff dimension ≈1.585. > Emergent Complexity: Pure discrete combinatorics sp

Shade the even entries in Pascal’s Triangle (just mod 2) and the Sierpinski Triangle literally emerges from simple addition.This is Lucas’s Theorem unfolding the hidden recursive symmetry buried inside binomial coefficients.> Binary Logic: C(n,k) is odd only if every 1-bit in k’s binary is also a 1-bit in n’s. > Fractal Convergence: Density of odd entries → 0 as rows grow, forming the classic Sierpinski gasket with Hausdorff dimension ≈1.585. > Emergent Complexity: Pure discrete combinatorics sp

7.5K views1 month ago

x.comMathematica

Touch a bowl of water to excite a superposition of symmetric surface wave modes with different frequencies. Sunlight refracts through ripples into caustics below. Absent energy dissipation, these waves would theoretically reconstruct original shape.

1.7K views3 months ago

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Mathematica (@mathemetica) on X

8.8K views2 months ago

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Double pendulum chaos in all its glory!Even with deterministic Newtonian equations, the tiniest initial nudge explodes into unpredictable fractal trails. The simplest nonlinear system that breaks classical intuition.

29.1K views3 months ago

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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

22.3K views1 month ago

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Linear dynamics x' = Ax in ℝ³, ruled by the eigenvalues of A. Real λ → flows along eigendirections. Complex pair → spirals. Triple repeated λ (defective) → it tries to spiral but can’t quite.

21.4K views3 months ago

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This is the legendary Lorenz attractor; the butterfly of chaos theory in glorious 3D! Equations that birthed the butterfly effect:dx/dt = 10(y−x)dy/dt = x(28−z)−ydz/dt = xy−(8/3)zTell me your craziest real-life “butterfly effect” moment?

29.7K views3 months ago

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RT @mathemetica: When four simple periodic grids in CMYK phase-shift you get this.Beat frequencies, moiré patterns, and full-spectrum hal…

328K views3 months ago

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Kepler Orrery V: multi-planet systems unveiled by Kepler, their orbits locked in mean-motion resonances (P₁/P₂ = m/n).Newtonian gravity choreographs this galactic ballet; our Solar System merely one elegant solution amid the N-body symphony.

3.6K views3 months ago

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RT @mathemetica: “Mathematics compares the most diverse phenomena and discovers the secret analogies that unite them.”— Joseph Fourierh…

24.3K views2 months ago

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