Alexandra

AI, Computer Vision Researcher, & Alignment Pragmatist | Psalm 139 | ✝️ | Centrist Conservative Libertarian | e/acc | 💍| Trad feminine individualist

[Alexandra @AI__Alexandra]

@WORLDSTAR

[Mathematica @mathemetica]

The relationships among common probability distributions through limits, special cases, and transformations.

Examples include the binomial approaching the normal as n → ∞ (μ = np, σ² = np(1 − p)), Poisson as the limit of binomial (λ = np, n → ∞), exponential as gamma(r = 1), uniform as beta(α = 1, β = 1), and Cauchy as t(ν = 1).

These insights guide statisticians in choosing appropriate models and approximations for data analysis in finance, epidemiology, and engineering.

[Alexandra @AI__Alexandra]

@paularambles

[Alexandra @AI__Alexandra]

@Velissse Heels or loafers, but most likely heels, toe shape matters the most here.

[LeoDaVinciWave @LeoDaVinciWave]

Twenty Skies by photographer and filmmaker Alex Hyner.

[Cosmos Archive @cosmosarcive]

“God used beautiful mathematics in creating the world.”

— Paul Dirac

[soli @solisolsoli]

The Solar System. An introduction to astronomy, 1868

[Alexandra @AI__Alexandra]

@BellaBaddie__

[Alexandra @AI__Alexandra]

@techhsiren Beautiful fabric.

[cinesthetic. @TheCinesthetic]

Eddie Murphy casually dropping “Party All the Time” in 1985 remains one of the most unexpected hit songs ever.

[Alexandra @AI__Alexandra]

@TheCinesthetic Song is such a banger.

[Alexandra @AI__Alexandra]

@holyhomemaking This is so cute.

[Alexandra @AI__Alexandra]

@Lady_FanAccount One of the rare songs where the cover surpasses the original for me. Johnny Cash’s rendition of Hurt falls into the same category.

[Alexandra @AI__Alexandra]

Forbes covering AI by leading with a story about escorts is like covering Google by writing about a smoothie machine in one random building.

Technically related. Practically irrelevant.

This is why tech is increasingly building its own media ecosystems.

[Alexandra @AI__Alexandra]

@JenLRossman True

[Mathematica @mathemetica]

Centroids and moments of inertia define how plane areas resist bending and rotation.

This reference table lists exact values for area A, centroid coordinates x̄ and ȳ, and moments of inertia Iₓ, Iᵧ (centroidal axes) plus Iₓ', Iᵧ' (base axes) for ten common shapes: rectangles, right triangles, general triangles, trapezoids, semicircles, full and hollow circles, parabolas, parabolic spandrels, and general spandrels.

Engineers rely on these daily to calculate beam deflections, structural stresses, hydrostatic forces on gates, and torsional rigidity in buildings, bridges, and machinery.

[Klara @klara_sjo]

This is how the Romans moved heavy blocks.

[Cosmos Archive @cosmosarcive]

“Nature uses only the longest threads to weave her patterns, so each small piece of her fabric reveals the organization of the entire tapestry.”

- Prof. Richard P. Feynman

[Alexandra @AI__Alexandra]

@sciencegirl I need this as a houseplant.

[Alexandra @AI__Alexandra]

@HerodotusWave Appropriate bathing shoes.