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voltage

Last edited: August 8, 2025

voltage is a measure of difference in electric potential energy across two points

\begin{equation} V = \frac{1}{4\pi \epsilon_{0}} \sum_{i} \frac{q_{i}}{r_{i}} \end{equation}

or,

\begin{equation} PE = qV \end{equation}

potential energy experienced by \(q\) at the point.

\begin{equation} E_{x} = -\dv{V}{x} \end{equation}

\begin{equation} \Delta V = - \int E \cdot dr \end{equation}

\begin{equation} PE = \frac{1}{4\pi \epsilon_{0}} \frac{q_1q_2}{r} \end{equation}

equipotentential lines and electric field lines should align at right angles.

  • current through series is the same
  • voltage through parallel is the same

VWAP

Last edited: August 8, 2025

The VWAP is a Financial Market metric that stands for “volume-weighted average price.” It is given by (sumshares brought(shares bought at price*price its at)/(total shares bought in period)).

“the price we care the most about, is the price where the most volume is traded.”

Motivation

Its a weighted-by volume trading price. Though the closing price is the price used for accounting, it isn’t a good metric for large-volume trades.

Trading at the VWAP

We Trade at the VWAP because a LARGE trade will move the market around, and we don’t want that if we are a large trader. So we trade at the VWAP to ensure that we are getting the best possible value.

Walker 2018

Last edited: August 8, 2025

(Walker and Davies 2013)

One-Liner

Emergency of life corresponds with the time for physical transition.

Novelty

Notable Methods

Key Figs

New Concepts

Notes

Wang 2019

Last edited: August 8, 2025

DOI: 10.21437/Interspeech.2019-2414

Wang 2023

Last edited: August 8, 2025

One-Liner

Modeling carbon storage operations as a POMDP to show how different monitoring strategies can influence decision quality. Evalutae

Novelty

Applying POMDP to the task of carbon capture monitor planning.

Notable Methods

POMDP formulation

  • Solver: POMCPOW
  • Reward: trapped, free, and exited Co2
  • Action: injector placement
  • Observation: CO2 saturation
  • Belief: the permeability of the rock

POMDP Solution: particle filter tree.

Experimental design validated by simulations of CO2 sperad through injectors

Fourier Network Simulation

The actual fluid dynamics is really really hard to solve. As such, we do the evaluation over a lot of scenarios and then train a neural network to act as surrogate.