Chimaeme

[Chimaeme @Chimaeme001]

One of the first things wey i go buy when i start to guide.

[Dr. Yu-Dai Tsai @YuDai_Tsai]

Those who claim that math is dead is admitting to you that their own math is dead.

They are also admitting to you their lack of creativity and adaptability.

[Hunter Ash @ArtemisConsort]

Giving everyone a personalized AI tutor would massively increase inequality because smart kids could race ahead at their own speed. This would be a great thing. There is nothing inherently good about equality, and attempts to achieve it are almost always destructive.

[Chimaeme @Chimaeme001]

Nonsense

[Peter H. Diamandis, MD @PeterDiamandis]

If you gave every human on Earth their own AI tutor, personalized to their learning style, available 24 hours a day in their native language, completely free, it would perhaps be the single greatest equalizer in the history of civilization.

[Diary @Diarytells]

Show that

[Rafael Araujo @rafaela31416]

GEOMETRY
https://t.co/5F0aA6ji7r

[Matheorems @matheorems]

In the static regime, the electric and magnetic fields generated by point sources are the superposition of radial monopoles and dipoles.

Electric field:
∑ qᵢ (x − xᵢ) / ‖x − xᵢ‖³
Magnetic field:
∑ [3 rᵢ ⟨rᵢ, m⟩ − m] / ‖x − xᵢ‖³

where rᵢ = (x − xᵢ) / ‖x − xᵢ‖

[∞-modal Noah @NoahChrein]

When we do math, we devote our life to it, we do it with our entire soul.

Anyone who thinks they can stop a mathematician from doing math doesn't get it. fuck a job.

It's deeply spiritual, I will BCI with AI to keep doing it.
Bury my body with a copy of Munkres. dust to dust.

[Chimaeme @Chimaeme001]

I like the design

[Bombard @viermeelectric]

Kinetic Bombardment Anti-Personnel munition, dropped from orbit and detonated at the right attitude to disperse enough flechettes to blanket an entire city block. The hypersonic darts rip through cover, armor, and flesh, eviscerating anyone caught in the target area

[Matt Henderson @matthen2]

To solve a maze, keep the entrance cold and the exit hot.
Once it settles, enter and always walk in the hottest direction.

[H. Memarian @HEMemarian]

S-400 Launch Container Manufacturing Process.
The aluminum-alloy sheet is rolled into a cylindrical shape and treated in a series of hot and cold water to form a protective coating. Longitudinal seam is then welded, manually and then automatically, creating a reinforced cylinder.

[Deadly Weapons @deadlyweapns]

cold launch" technique—one of the most fascinating engineering solutions in the defense industry.

[Tengiz @tengizlab]

This experimental morphing wing, developed by researchers at the National University of Singapore, uses Macro Fiber Composite (MFC) piezoelectric actuators integrated beneath its composite skin.

The actuators modify the wing's camber, allowing the airfoil to adopt different aerodynamic profiles without conventional hinged flaps.

Instead of deflecting a discrete control surface, the wing itself changes shape while maintaining a continuous aerodynamic surface.

The research combines smart materials, composite structures, and aeroelastic design to investigate adaptive wing technologies for future aircraft.

Source: temaseklabaratories on YT

[DS北风 @WenJian0922]

预涂装配置丰富

[Γ(z) @gammaofzeta]

Here, the final piece in my series on regular Sturm-Liouville problems.

I began with a second-order self-adjoint differential operator on a compact interval, separated boundary conditions, and the classical eigenvalue problem \mathcal{L}[y]=\lambda y. The goal was to prove that there exists a countably infinite sequence of real eigenvalues \lambda_n\to+\infty, bounded from below, together with a corresponding orthonormal basis of eigenfunctions that is complete in \mathcal{L}^2.

The key construction is the Green’s function. It converts the differential eigenvalue problem into an equivalent compact self-adjoint integral equation. Once that translation is made, the spectral theorem for compact self-adjoint operators gives existence, the accumulation pattern \lambda_n\to+\infty, and completeness. An elementary quadratic-form argument (integration by parts + the boundary conditions) shows that the spectrum cannot run off to -\infty.

The same eigenfunctions become the natural basis for separation of variables in the classical linear PDEs of mathematical physics: the heat equation (exponential decay of high modes), the wave equation (normal modes of vibration), and Laplace problem in rectangles, disks, and other separable geometries. Completeness guarantees that arbitrary initial or boundary data can be expanded.

In short, the spectral theory of one ordinary differential operator on an interval is the backbone of eigenfunction expansions for partial differential equations.

Read the piece here:

https://t.co/ov7BbsozuC

[Math Files @Math_files]

Gabriel’s Horn is a mathematical shape made by rotating a curve called a hyperbola.

It has a surprising property: its volume is finite, but its surface area is infinite.

This means the inside of the shape can be filled with a limited amount of paint, but the outside surface is so large that no amount of paint would be enough to cover it completely, even in an extremely thin layer.

[Pedro Domingos @pmddomingos]

It’s not AGI until a robot survives alone in the jungle for a year.

[Chimaeme @Chimaeme001]

@dejiolowe @sudoingX The moment you ask an AI to 'fix' the grammar or 'rearrange' even a single token, it stops being your work, dumbass. Only untrustworthy people would be worried about this.

[Danielle Fong 🔆 @DanielleFong]

many people are automating the exercise of science, but the really severe bottleneck is going to be digesting what is discovered into understanding. for both machine and human

[Chimaeme @Chimaeme001]

@sincethestudy What do you mean by "robots" doing dishes & laundry? Because I believe dishwashers and washing machines have existed for decades now.