Some of the most powerful ideas in physics can be written in a single line.
- Lorentz's Law
- Bernoulli's Law
- Brewster's Law
- Bragg's Law
Four equations that help explain electricity, fluids, light, and the atomic structure of matter.
Navier-Stokes equations ✍️
This are the fundamental rules that explain how liquids and gases move in the real world. They function like Newton's laws of motion but specifically for fluids. These equations describe how a small piece of fluid speeds up or slows down based on four main factors: its own momentum (how it's already moving), pressure pushing it from high to low areas, internal stickiness called viscosity that creates friction between layers of fluid, and outside forces like gravity. These equations help us understand everything from water flowing through pipes and air moving over airplane wings to weather patterns and blood circulating in our bodies. They are very useful but also quite complex. Fluids can flow smoothly or become chaotic, which is why scientists often need supercomputers to solve them for real-life problems.
The inverse square law governs how intensity or force spreads from a point source: it falls off as 1/r².
Radiation, sound, illumination, electrostatic forces & gravity all follow it; doubling distance quarters the strength, tripling it reduces to 1/9.
Classic examples in one diagram.
Distance metrics help quantify how similar or different data points or sets are. This image shows visual examples of nine popular ones used across data science and machine learning.
It covers Euclidean, cosine, Hamming, Manhattan, Minkowski, Chebyshev, Jaccard, Haversine, and Sørensen-Dice, each with a simple diagram of how the calculation works.
These metrics sit at the core of clustering algorithms, nearest-neighbor methods, recommendation systems, natural language processing tasks, and geospatial analysis.
Daylight reveals the extent of damage caused to Launch Complex 36 (LC-36) and the surrounding area of Cape Canaveral Space Force Station in Florida, following last night’s massive explosion of Blue Origin’s New Glenn during a Static Fire Test. Significant fire damage to the launch pad, tower, and other infrastructure can be seen - which will undoubtably require months of repairs - while debris from New Glenn lay scattered around LC-36.
Photo credit: @asherbphotos@tweetsiphotos@LaunchHeavenX