This might be the most valuable AI list you have seen this year
Anthropic will ask you exactly about this during the interview
Linear algebra => analytic geometry => matrix decompositions => vector calculus => probability => optimization => the system you ship
01 Introduction and motivation
https://t.co/lK8mJGwtjQ
02 Linear algebra
https://t.co/lK8mJGwtjQ
03 Analytic geometry
https://t.co/lK8mJGwtjQ
04 Matrix decompositions
https://t.co/lK8mJGwtjQ
05 Vector calculus
https://t.co/lK8mJGwtjQ
06 Probability and distribution
https://t.co/lK8mJGwtjQ
07 Continuous optimizations
https://t.co/lK8mJGwtjQ
08 When models meet data
https://t.co/lK8mJGwtjQ
09 Linear regression
https://t.co/lK8mJGwtjQ
10 Principal Component Analysis
https://t.co/lK8mJGwtjQ
11 Gaussian Mixture Models
https://t.co/lK8mJGwtjQ
12 Support Vector Machines
https://t.co/lK8mJGwtjQ
The book and the exercises are free
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Narrow a pipe and the fluid inside speeds up while its pressure drops.
Mass is conserved, so A₁v₁ = A₂v₂: halve the area and the speed doubles.
Energy is conserved too. For steady, frictionless flow, p + ½ρv² + ρgh stays constant, so the extra kinetic energy at the throat is paid for in pressure: p₁ − p₂ = ½ρ(v₂² − v₁²).
The gauges show it: the throat column sits lowest.
Speed and pressure trade places while the total holds still.