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Kepler's Laws of Planetary Motion

Last edited: August 8, 2025
  1. Orbits of planetary bodies are ellipses with the sun at one of the two foci
  2. Drawing a line from the sun to the orbiting body, they would sweep out equal areas
  3. Planets that are closer to the sun have much shorter periods than that
    • Squares of the periods of the planets is equal to the cubes of the distance from the planet to the sun

kernel smoothing

Last edited: August 8, 2025

kernel smoothing is a way of smoothing a utility function over continuous state space despite only sampling a discrete set of the states.

\begin{equation} U_{\theta}(s) = \theta^{T} \beta(s) \end{equation}

We multiply a vector \(\theta_{j}\), the utility of being in each state \(s_{j}\) a basis function, which smears, generated for each \(i\) of known discrete state we have:

\begin{equation} \beta_{i}(s) = \frac{k(s, s_{i})}{\sum_{j}^{} k(s, s_{j})} \end{equation}

where, \(k\) is the kernel function, a function inversely proportional to how close the two states are:

Keynsian Politics

Last edited: August 8, 2025

Keynsian Politics is a economy strategy to support large projects via the government to boost economic output (i.e. that the economy needs a minder, but is generally free-sustaining.)

See also: Keynsian Economics was not trying to entirely replace markets

keys (algorithms)

Last edited: August 8, 2025

in algorithms, key

kirchoff's laws

Last edited: August 8, 2025

kirchoff’s laws is a set of laws to deal with complicated circuits, and it says…

  1. any junction, the current entering equals the current leaving
  2. the sum of voltage across a closed loop is \(0\)