Tangential and Normal Components of Acceleration as Derivatives of Position Vector Example 3speak.tv/watch?v=mes/e0b985… & youtu.be/Dq3ewJEFt5k In this video, I rewrite our earlier equations for the tangential and normal components of acceleration to be in terms of the position vector and its derivatives. This simplifies and standardizes the components of acceleration and involves the dot product for the tangential acceleration and the cross product for the normal acceleration. #math #vectors #calculus #physics #education

Come on a Zoom and let's discuss it @_andrewsimon_

Definition and Notation of Infinite Series 3speak.tv/watch?v=mes/2957ac… & youtu.be/Lfj8K27y31o In this video, I go over infinite series (or just series), which is defined as the summation of the terms of an infinite sequence of numbers. If we add an infinite sequence of numbers whose terms are each greater than 1, then the sum goes to infinity. But if the terms are fractions, then in some cases the sum tends towards a finite limit. In this case, we obtain a convergent series — otherwise, if there is no finite sum, then the series is called divergent. #math #calculus #series #sequences #education

MES Math Q/A 64: What are Electromagnetic Potentials? youtube.com/live/5yDfbyJkkQU & x.com/i/broadcasts/1RKjppamv… If you have math or science equations I may have answers. June 3, 2026 Wednesday at 10:00 AM PST #math #physics #science #electromagnetism #scalarwaves

Length of Earth's Orbit around the Sun is 299 million km wide 3speak.tv/watch?v=mes/3speak… & youtu.be/nXxewYQus7I In this video, I use Kepler's third law to calculate the length of Earth's elliptical orbit to be around 299,000,000 km wide and takes about 365.25 days to complete 1 full revolution. The equation for Kepler's 3rd law shows that the square of the period of revolution is proportional to the cube of the length of the semi-major axis (half the major axis) of the ellipse. The proportionality constant only depends on the mass of the Sun and the gravitational constant. Thus, we can calculate the major axis of any planet just by knowing how long it takes to revolve around the Sun! #math #vectors #calculus #ellipse #keplerslaws

The most basic way AI could blow up imo. I'm not saying it does but this is the most obvious way I can see it happening - Per seat subscriptions are massively subsidized. The flat fee was priced way below what heavy usage actually costs - For real business use you have to move to the API anyway. Data protections, work integrations and compliance officer approval - On the API you pay metered rates, and businesses are burning credits way faster than the per seat pricing ever led them to expect - This is everywhere right now. Internally for us, Codex users, Uber torching its entire 2026 AI budget in 4 months, the Microsoft comments. Just go try an API I shared more on this here: x.com/Shaughnessy119/status/… - And I don't think most businesses have the money to keep paying increasing API rates without a real change to how they operate (caps needed) - Because they have a cheap alternative. They can reach open source models through any aggregator (OpenRouter, Venice, Baseten, Together) and still get strong privacy. Venice private data centers, or E2EE/TEE serving GLM 5.1. More on open source inference provider raises here: x.com/Shaughnessy119/status/… - And the discount is enormous. DeepSeek V4 codes within a hair of Opus on SWE bench at roughly 1/30th the price, and the cheapest open models run closer to 1/100th - Chinese labs open source frontier grade models. The model is the single biggest cost an inference provider has, and they get it for free - This idea dies if China goes closed source. That is actually bullish web2 AI labs, because if everyone is closed you pay up for the best intelligence. China goes closed source if they are tired of giving away an asset and they want the revenue and data flow to train new models - Is this showing up in web2 AI lab revenue yet? No. Revenue is off the charts. Anthropic went from 9B to 47B run rate in five months - So go forward, what happens? - I think revenue slowly starts leaking to the open source inference providers (see Venice usage, OpenRouter's $113M raise, Baseten is raising at $11B or triple its valuation in three months, on revenue that went from $200M to $600M annualized in a single quarter) - It doesnt move overnight, but it caps the labs ability to raise prices, and margins are already deeply negative. OpenAI is reportedly running near negative 122% - With margins that bad there is no cash flow, so the labs are fully dependent on outside capital to buy GPUs, train models, and keep subsidizing usage (I.e. see Google tapping $80b equity sale, granted 30b for employee RSU taxes. Clearly they think Equity is overvalued or you wouldn't sell it) - The break comes when that capital stops. Pricing is capped so margins cant improve, and the moment investors lose conviction on payback, the whole flow reverses - Why would they lose conviction on payback? Back to the start - the inability to improve margins or get businesses to pay more - This is also limiting, if we start making new drugs with AI or create entirely new businesses, you better believe people will pay up to the max for AI usage

Kepler's Third Law: Square of Planet's Orbital Period is Proportional to the Cube of its Major Axis 3speak.tv/watch?v=mes/3speak… & youtu.be/v50UMfCk2_U In this video, I derive Kepler's 3rd Law of planetary motion and obtain a formula for a planet's period of orbit around the Sun in terms of the length of its major axis. Using the results of Laws 1 and 2, and using the formula for a horizontally shifted ellipse in Cartesian coordinates, as well as its area, I show that the square of the period is proportional to the cube of the major axis. This proportionality is independent of the planet as it is just in terms of the gravitational constant and mass of the Sun. #math #vectors #calculus #ellipse #keplerslaws

MES Livestream 132: Chris Shak discusses 9/11 Predictive and Post-Predictive Programming youtube.com/live/Q8HTcSFqUsI & x.com/i/broadcasts/1AxRnaqmX… Chris Shak joins the show to go over this extensive research into many eerie coincidences pre- and post-9/11, which suggest the use of predictive programming to psychologically prime the population for what was to take place on 9/11, and then post-predictive programming to psychologically reinforce the government-approved narrative after 9/11. May 16, 2026 SATURDAY at 1 PM PDT #911Truth #PredictiveProgramming #Conspiracy #occult #psyop Trailer: youtu.be/9eBWxyFFU_M

THREAD of the Hutchison Effect! Solid block of iron twisting, warping, and then fuming.

Kepler's Second Law: A Planet's Orbit Sweeps out Equal Areas in Equal Times - 3speak.tv/watch?v=mes/3speak… & youtu.be/ndTSuep1Ikc In this video, I derive Kepler's 2nd law of planetary motion and show that the line joining the Sun to a planet sweeps out equal areas in equal times. In other words, the rate of change of the area of the orbit being swept is constant in time. #math #vectors #calculus #ellipse #keplerslaws

Interestingly, Building 7 was turning to dust from 1 side and 1 side only, from top to bottom. flickr.com/photos/117310459@… This is unlike any other building fire in history... except for the Twin Towers hours earlier... youtu.be/s7HPhlX0TH8

Building 7 literally turned to dust for 7 hours from inside until it fell like a hollowed out shell. Even weeks later the small rubble pile was still turning to dust from within. youtu.be/YCtfQJAepfU Note the toasted cars before Building 7 fell.

THREAD: Compilation of Building 7 Falling Quietly on 9/11 NYU medic Barbara Crowley is interviewed just before Building 7 falls. She didn't react for 3 full seconds after it started falling. t.me/meslinks/23706

THREAD: Compilation of Building 7 Falling Quietly on 9/11 NYU medic Barbara Crowley is interviewed just before Building 7 falls. She didn't react for 3 full seconds after it started falling. t.me/meslinks/23706

Kepler's First Law: Planets Revolve around the Sun in an Ellipse 3speak.tv/watch?v=mes/3speak… & youtu.be/SfC-pGD0xeY In this video, I derive Kepler's 1st law of planetary motion entirely from Newton's second law of motion and Newton's law of universal gravitation, while making extensive use of the calculus of vector functions, to prove that a planet orbits the Sun in an elliptical orbit where the Sun is a focus. This extensive proof demonstrates the power that calculus is in explaining observational astronomical data directly from the laws of physics. #math #vectors #calculus #ellipse #keplerslaws

MES Math Q/A 63: What is the Aharonov-Bohm Effect? youtube.com/live/reEByVqyEbs & x.com/i/broadcasts/1RKjpzmrn… The Aharonov–Bohm effect is a quantum phenomenon in which a charged particle’s wavefunction acquires a measurable phase shift when the particle travels through a region where the magnetic field is zero but encloses a confined magnetic flux. In the standard magnetic version, two coherent charged-particle beams pass along different paths around the flux, and when they recombine, the resulting interference pattern is shifted by an amount determined by the enclosed magnetic flux. #math #physics #science #electromagnetism #scalarwaves

Kepler’s Laws of Planetary Motion youtu.be/_HIoMlTPD9Y & peakd.com/hive-128780/@mes/c… In this video, I go over Johannes Kepler's three laws of planetary motion and derive them using Isaac Newton's second law of motion, F = m a, and his law on universal gravitation. While observing the Danish astronomer Tycho Brahe's astronomical observations, Kepler observed recurring patterns in the data, which he formulated as three laws: 1. A planet revolves around the sun in an elliptical orbit with the sun at one focus. 2. The line joining the sun to a planet sweeps out equal areas in equal times. 3. The square of the period of revolution of a planet is proportional to the cube of the length of the major axis of its orbit. #math #vectors #calculus #astronomy #keplerslaws