Hamiltonian Monte Carlo frames sampling from a probability distribution... as a physics problem. By endowing "particles" with momentum and simulating their energy and motion through Hamilton's equations you can efficiently explore a distribution.show more

Langevin Monte Carlo allows you to draw samples from... a probability distribution using its log gradient ∇ log p(x). By performing a sort of gradient ascent with noise you can navigate around the distribution. Langevin MC is heavily related to modern diffusion models.show more

Random Walks aim to explore a distribution through random... perturbations. This is likely to move into low density regions, which is inefficient. Hamiltonian MC sails through a distribution much more rapidly by incorporating the distribution's structure into proposals.show more

One of the simplest algorithms for sampling from a... probability distribution is Random Walk Metropolis-Hastings. It proposes new samples by taking Gaussian-distributed steps, accepting or rejecting them to maintain the target distribution. I call this pdf the "fidget spinner".show more

Startups achieve success slowly, building their company brick by... brick. Founders can develop marketing leverage by building a viral or network effects strategy or… by partnering with larger companies who have great distribution themselves and trying to reach through to the end customer with premium offerings. Companies that build their distribution by coming in at a lower than market price should follow up with higher margin products or they will find themselves in a competition that we call “a race to the bottom.” It is mission critical for startups to work to build distribution and market share, but they need to then provide something that their customers can’t live without, and charge enough for it to support the continued distribution strategy. Startup founders: Look at every customer as a long-term partner, because you want your business to be a long-term survivor. Look at every supplier as a long-term partner and make sure they are healthy. Look at every employee as a long-term partner. You want them to grow with you and with the business.show more

Web3 brands have a distribution problem. For Memeland ❤️... Memecoin and $MEME, distribution is our moat through our existing audience and 9GAG ❤️ Memeland. An extension of this is partnerships with Web2 brands/ products with the Potatoz IP being integrated. Stay tuned. 🥔show more

You can use Mina's new passive to glide and... traverse the map more efficiently. It's best used with some momentum, either from a wall bounce, vent, or dash jump. You can glide by aiming down sights.show more

Did you know you can create the Maxwell-Boltzmann distribution... with just some balls and a motor? I built this simple device to illustrate it. This is how it works: A spinning agitator pumps energy into ~400 balls, so they bounce around and collide like gas particles in a box. They escape one at a time through a tiny hole, then fall a fixed gap into bins below. Since the hole is so small, every ball leaves with no vertical speed and takes the same time to fall. Constant fall time means how far a ball flies sideways is set purely by its speed. A faster ball goes into a further bin. So each bin is really a speed. Tally all 400 and you get the Maxwell-Boltzmann distribution.show more

Visual annotation with Ray3 lets you explore multiple ad... variations from a single frame. Sketch how scenes unfold, a can lifted, fruit bursting, or motion synced to energy. Now bringing ad-level direction to life through visual intent. Try Ray3 in Dream Machine.show more

This animation shows how a uniform grid of points... is deformed by a flow matching model. The visualization highlights how the learned flow warps the underlying space—stretching, compressing, and bending it—to transform one probability distribution into another.show more

Google is giving away stablecoins, and it's only possible... with Self's proof-of-human technology. Real humans can get real money through a first-of-its-kind distribution engine. Here's how it works. ↓show more

Visualizing Quantum Tunneling Through a Gaussian Barrier! Witness how... a wave packet interacts with a Gaussian potential barrier, demonstrating the probabilistic nature of subatomic particles. This video breaks down the Schrodinger equation and the WKB approximation to explain how particles can tunnel through barriers they should not be able to pass classically. Whether you are a physics student or just curious about the universe, see the math come to life as we track incident, reflected, and transmitted waves. #QuantumPhysics #QuantumMechanics #SchrodingerEquation #QuantumTunneling #Manimshow more

Seeing The Quantum World In Action! Ever wondered how... particles pass through impossible barriers? This video provides a clear visualization of the Quantum Tunneling Effect, a fundamental phenomenon in quantum mechanics where a particle passes through a potential barrier that it classically could not surmount. Watch as the incident wave packet interacts with the potential barrier, resulting in both reflected and transmitted components. We break down the Schrödinger equation and the formula for transmission probability. Perfect for students and physics enthusiasts looking to understand the wave-particle duality and the probabilistic nature of the subatomic world. #QuantumPhysics #Manim #Physics #QuantumMechanics #Schrodingershow more

A source at one of the Gaza distribution sites... tells me that Hamas set up a roadblock to prevent Gazans from getting aid. They broke through it and were shouting “thank you America” upon reaching the site.show more

When a nuclear reactor powers on for the first... time, the core fills with a deep blue glow that feels almost unreal as it rises through the water in a quiet surge of energy. The light is Cherenkov radiation, created when charged particles move through the water faster than light can travel in that medium, a discovery made in the 1930s that revealed a new way to see high energy reactions. Every appearance of this glow is a reminder of how powerful atomic reactions can be, showing a rare moment where raw physics becomes something visible and strangely beautiful.show more

As a coach, you know the importance of physical... & mental energy for peak performance. But have you considered the spiritual energy that faith brings to your team? You can refuel with His strength through Scripture, prayer, and community, and lead your team through any challenge.show more

Do you know how much you need to know... about physics and motion, Newton's laws, and the interaction of forces to calculate a movement as coordinated as that? That man did it! He's a genius!show more

Rather than seeing it as a simple wallet, think... of it as a Web3 experience launcher. To finance, social, games, and everything in between. Make the leap with xPortal, and get mobile distribution for your product with minimal overhead 📲show more

NEW: Holders' Data Now Available on Bittensor Chain 🔥... Traders can now: • Visualize the token distribution through a bar chart • Track the total no. of holders over time • View the top 50 largest holders and filter for their transactionsshow more

SEE ATOMS DANCE: URANIUM IN A CLOUD CHAMBER Radioactive... isotopes like uranium don’t just sit there - they quietly shed energy, flinging particles and rays as they decay. In a cloud chamber, that invisible drama becomes visible: Alpha particles - heavy, slow, short-lived streaks. Beta particles - zippy electrons carving sharp paths. Gamma rays - pure energy waves, ghosts that barely leave a mark. Each trail is a snapshot of nuclear physics in motion - a fleeting glimpse of matter unraveling itself. What was once theory now dances before your eyes: the secret heartbeat of the atom, sketched in vapor. Source: universe.mania on IGshow more

🚨FOOTAGE: In their final moments, a team from a... charitable organization and several journalists were documenting a food distribution project for displaced families as famine deepens under Israel’s blockade. Shortly after, they were killed in an Israeli attack in Beit Lahia, northern Gaza.show more