Justin Calhoun

Tech Product Leader | x Nuvolo, RBC | AI Mobile Dev | Vanderbilt MBA @vvsCodeDotNet

[Maserati @Maserati_HQ]

More audacious than ever in the new millennium, the Trident roared forward continuing to pioneer new precedents in road-going performance. And on the track, the MC12 proved itself as the undisputed champion of GT racing, defining an era.
#Maserati #100YearsOfTheTrident

[Philosophy Of Physics @PhilosophyOfPhy]

We were taught that Earth orbits the Sun in a closed circle. In reality, Earth has never returned to the same point in space once in 4.5 billion years.
​Right now, the Sun is carrying Earth and every planet around the center of the Milky Way at 230 km/s (828,000 km/h), more than 18,000 kilometers every 80 seconds.

​Because the Solar System is tilted 60.2° to the galactic plane and bobs up and down through the galactic disc roughly every 30 million years, the planets trace open 3D corkscrew helices across deep space rather than flat loops.

​The last time the Sun stood where it stands today, one Galactic Year (230 million years) ago, the very first dinosaurs were only beginning to appear on Earth. Since forming 4.6 billion years ago, our Sun has completed only 20 laps.

[Mathematica @mathemetica]

The quiet power of a matrix lies in where it places its zeros.

A square matrix becomes triangular the moment every entry on one side of the main diagonal is forced to zero. Upper triangular clears everything below the diagonal; lower triangular clears everything above it. Tighten the rule further and the diagonal matrix remains: only the main diagonal is allowed to hold non-zero values.

From that single line arise two refined cases. The scalar matrix repeats one non-zero number along the diagonal. The unit matrix places 1 in every diagonal position, becoming the identity that leaves vectors unchanged under multiplication.

Structure is not what you add to a matrix. It is what you are willing to set to zero.

[Cosmos Archive @cosmosarcive]

The universe doesn’t move randomly. From a swinging pendulum to the evolution of a quantum state, differential equations describe how things change from one moment to the next.

Newton used them to describe motion. Einstein used them to describe gravity itself. The remarkable part is that the same mathematical idea connects a falling object to the structure of the universe.

[matharium @matharium]

Three pairs of integrals that must agree: the Riemann and Lebesgue integrals of one function, Green's theorem in the plane, and the divergence theorem in space.

Riemann slices f = 1.75 + 1.35 sin(1.75x − 0.25) along x, Lebesgue along height as ∫ |{f > t}| dt; both give 7.06. For F = (−y³, x³), the circulation ∮ F · dr round the unit circle equals ∬ 3(x² + y²) dA over the disk, 3π/2. For F = (x, y², z³), the flux through the unit sphere equals ∭ (1 + 2y + 3z²) dV over the ball, 32π/15.

[Mathematica @mathemetica]

Any periodic signal can be rebuilt from pure sine and cosine waves whose frequencies are exact integer multiples of the fundamental.

The function f_T(t) on [0, T] equals its mean value plus the sum of waves a_n cos(ω_n t) + b_n sin(ω_n t), where ω_n = n · 2π/T.

Each successive wave oscillates n times faster. Adding them step by step reconstructs the original sharp spikes from smooth oscillations, revealing how complex time-domain behavior lives as a simple discrete spectrum in frequency.

Fourier series turns irregularity into harmony.

[The Math Flow @TheMathFlow]

Circle, ellipse, parabola and hyperbola are all slices of the same double cone; only the angle of the plane differs.

[matharium @matharium]

Nine surfaces, each cut by a horizontal plane sweeping up and down. The white curve is where the plane meets the surface, and its loops split and merge only as the plane passes a critical point (a bottom, a saddle or a top), which flashes.

Counting them gives the Euler characteristic, χ = minima − saddles + maxima: 1 − 2 + 1 = 0 for the torus, 1 − 6 + 1 = −4 for the triple torus. Every closed surface is a sphere with g handles, χ = 2 − 2g, or with k cross-caps, χ = 2 − k.

The Möbius band is a projective plane with a disc cut out; sewing a disc back onto its edge gives the cross-cap.

[Autoblog @therealautoblog]

Porsche Mission S Previews a Future Mid-Engine Supercar Without Screens.

Read more: https://t.co/uPL2Ig2ruU

[Mathelirium @mathelirium]

Flow around a massive Wind Turbine. Simulate via LBM at Re = 10^8

[Autoblog @therealautoblog]

Digital Dashboards Are Recreating Analog Gauges—And That Says a Lot About Modern Cars.

Read more: https://t.co/sS5qXPdA1n

[The Math Flow @TheMathFlow]

Fibonacci: From curves to cubes and back to curves.

[Autoblog @therealautoblog]

777-HP Jeep Grand Cherokee SRT Could Be the Most Powerful Combustion SUV in the World.

Read more: https://t.co/wz91UW0mAN

[Our World in Data @OurWorldInData]

📊 Data update: NVIDIA's data center & AI revenue has grown nearly 15-fold since early 2023—

Most of the chips used to train and run AI models come from NVIDIA. This makes NVIDIA's data center & AI revenue one of the clearest public figures available for tracking demand for AI hardware.

The chart here shows how the company's quarterly revenue has changed over the last eight years, split by market segment.

In early 2023, data center & AI revenue was around $4 billion per quarter. By late 2025, this had grown to $62 billion — a more than 15-fold increase in under three years.

This data comes from NVIDIA's financial reports and is not adjusted for inflation. Our colleague Veronika Samborska recently updated our chart with the latest quarterly release and will continue to do so each quarter.

[Ford Racing @FordRacing]

Where Legends Run.

Behind the scenes of the fastest American OEM lap on the Nordschleife. Live on YouTube now.

[Justin Calhoun @jrc_dev]

Where Legends Run: Ford GT Mk IV Nürburgring Record BTS | Ford Racing https://t.co/kiqLtOHjvY via @FordRacing #Wow

[Satya Nadella @satyanadella]

In GitHub Copilot CLI, you can now leverage a multi-model reflection loop as a reviewer.

Super helpful for catching issues early before they compound.

[EMILY SUNDBERG @Emily_Sundberg]

Between Anthropic hiring a video director for $250k, and WSJ announcing that their video team is now 65 people, I think it's a really good time for young people to learn how to shoot and edit video.

Tech companies and legacy media companies are investing in GOOD video teams

[Dvz | Python Architect @PythonDvz]

Map of Agentic AI

[Google Cloud Tech @GoogleCloudTech]

We’re going live tomorrow at 9 AM PT for a deep dive into advanced Gemini CLI features: Planning Mode, Skills, and Hooks.

Come with your questions, and remember, this isn’t a pre-recorded demo. If we hit a bug while building, you’ll see us fix it live ➡️ https://t.co/qbMbzvTYP4