The Variational Protocol powers peer-to-peer trading, clearing, and settlement of perpetual futures, options, and more. A universal protocol for on-chain derivatives.

A variational principle is a mathematical procedure that renders a physical problem solvable by the calculus of variations, which concerns finding functions that optimize the values of quantities that …

In this chapter we will look at a very powerful general approach to finding governing equations for a broad class of systems: variational principles. These replace local rules with global constraints which …

Apr 1, 2025 · The variational principle states, quite simply, that the ground-state energy is always less than or equal to the expectation value of H calculated with the trial wavefunction

Jun 16, 2023 · Variational inference – a methodology at the forefront of AI research – is a way to address these aspects. This tutorial introduces you to the basics: the when, why, and how of …

The meaning of VARIATIONAL is of or relating to variation : characterized by variation.

A major theme was the exploration of variations around a point, within the bounds imposed by the constraints, in order to help characterize solutions and portray them in terms of `variational principles'.

This monograph presents recent developments and selected applications in variational analysis. Chapter commentaries and exercises are true gems for the advanced graduate student.

Find­ing the state of a phys­i­cal sys­tem in quan­tum me­chan­ics means find­ing the wave func­tion that de­scribes it. For ex­am­ple, at suf­fi­ciently low tem­per­a­tures, phys­i­cal sys­tems will be de­scribed by the …

However, the most commonly used direct method is the so-called variational approach. It consists of using an appropriate ansatz, often a solitonic one or Gaussian one in Lagrangian or the Hamiltonian …