Bruce Wayne

Purusha, human, family, friend, uncle, passionate, architect. Lover of Ayurveda, Yoga, sports, children, nature, freedom, art, science, life

[Bruce Wayne @bruce_wayne00]

Why post this? Because I can 😏
▪︎ Tommy Davidson @therealtommycat is hilariously brilliant

#tommydavidson
#dancing
#billgates
#steveballmer
#windows95

[Mathematica @mathemetica]

Hamilton carved i² = j² = k² = ijk = −1 into Broom Bridge in 1843.

Quaternions extend the complex plane into four dimensions and encode 3D rotations without gimbal lock.

Graphics engines, robots, spacecraft and VR headsets all rely on them to stay oriented. Abstract algebra now keeps the physical world from tumbling.

[么 ꜱ ᴀ ᴍ ꪜ, @___TheGOOdWitch]

Evolutionary Professor explains why we are all Africans🤔💯

[Beyond Tomorrow @OrgPhysics]

Amazing Physics..😲
Physics isn’t just theory, it’s REAL! watch this incredible experiment!

[Massimo @Rainmaker1973]

The power of a dog’s nose is so extraordinary it can detect even the faintest trace: just a few molecules in the air.

[Mathematica @mathemetica]

Deterministic rules do not guarantee predictable futures.

Tiny shifts in initial conditions yield vast divergences, as the Lorenz attractor shows. Nonlinear terms like x² + y³ drive chaos; linear forms such as (2x + y)/z do not. This explains weather forecast limits and three-body orbital complexity.

Chaos informs AI stability and aerospace design. Simple rules can hide infinite unpredictability.
Where have you seen sensitivity to initial conditions reshape a system?

[Bruce Wayne @bruce_wayne00]

@Simi_2210_ 61

[Massimo @Rainmaker1973]

Making a reed leaf boat

[Massimo @Rainmaker1973]

Gears, couplings, and drives - all made with LEGO

[📹 Brick Experiment Channel]

[Beyond Tomorrow @OrgPhysics]

Your Answer?

[Bruce Wayne @bruce_wayne00]

@OrgPhysics 394

[Mathematica @mathemetica]

Plane stress hides its extremes until Mohr’s circle reveals them.

A single circle centered at the average normal stress maps every possible orientation: its radius is the maximum shear, the horizontal intercepts are the principal stresses, and a rotation of 2θ on the circle equals θ in the physical plane.

Engineers rely on this geometry to size aircraft skins, design pressure vessels, and keep bridges from shearing under load—turning a 2-D stress state into immediate design limits without endless coordinate transformations.

The circle turns orientation into geometry, and geometry into safety.

[philip lewis @Phil_Lewis_]

Northwestern University is reportedly shuttering its 80-year-old Program of African Studies, laying off staff and keeping students in the dark

It is the "first formal academic program focused on Africa in the United States."
https://t.co/3NrBBV8DHQ

[LanaQuest aka RosaSparks @LqLana]

This is absolutely breathtaking.

Take a minute to feel this routine. 💛

[Massimo @Rainmaker1973]

The theremin, invented in 1920, is the only instrument played without touching it, using electromagnetic fields to create sound.

[Massimo @Rainmaker1973]

Why A4 paper is designed as 297mm x 210mm?

[📹 testandtutor]

[Bruce Wayne @bruce_wayne00]

https://t.co/BZA8kqDdGR

[Bruno Brezenski @bbbrezenski]

Mano, isso sim é levar a sério os detalhes.
O cara fez tudo que tem no corpo humano, detalhe por detalhe.
Surreal.

[The Figen @TheFigen_]

Wow genius!

[Niko @0xNiko1]

https://t.co/9Vi8xgxrPX

[Nora @0xNoraa]

David Jerison, mathematician, from the lecture "MIT 18.01 Single Variable Calculus, Lecture 1: Derivatives":

"Everyone treats calculus as a list of formulas to memorize. It is one idea. You take the slope between two points on a curve, then slide those points together until the interval shrinks to nothing. That limit is the derivative, and the whole subject is consequences of it."

this video explains the exact mathematical move sitting underneath every rate, every optimization, and every model of change, and it's freely available.

at the board it's simple. Take a curve y equals f(x) and a point on it. Draw a line through that point and a second point a distance h away. Its slope is f(x+h) minus f(x), all over h. Now let h go to zero. The secant line becomes the tangent line, and that limit is f'(x), the derivative. Every rule you were forced to memorize, the power rule, product rule, chain rule, is just this one limit worked out carefully for a different shape. No magic, just one definition applied again and again.

Here's where it lines up with everything after. Velocity is the derivative of position. Marginal cost is the derivative of cost. The gradient that trains a neural network is this same slope in many dimensions. A subject that looks like a hundred disconnected tricks is really one operation, measure the change and shrink the interval, reused everywhere something moves.

the math is free and public, so is the lecture. what nobody can sell you is the patience to actually understand the one limit instead of memorizing the fifty formulas that fall out of it. That understanding is the foundation, and it's built in an hour, not from a formula sheet.