Titlebook: Geometric Science of Information; 6th International Co Frank Nielsen,Frédéric Barbaresco Conference proceedings 2023 The Editor(s) (if appl

SEEK

Easily into Desk Top PublishingIn this short note, we prove that the Gibbs cone of generalized temperatures associated to a minimal coadjoint orbit of a simple Lie group . of K?hler type is not empty. We study the Fisher-Rao metric in the particular case of .. We prove that, in this case, the Gibbs cone equipped with the Fisher-Rao metric is a Riemannian symmetric space.

四溢

contrast-medium

Riemannian Geometry of?Gibbs Cones Associated to?Nilpotent Orbits of?Simple Lie GroupsIn this short note, we prove that the Gibbs cone of generalized temperatures associated to a minimal coadjoint orbit of a simple Lie group . of K?hler type is not empty. We study the Fisher-Rao metric in the particular case of .. We prove that, in this case, the Gibbs cone equipped with the Fisher-Rao metric is a Riemannian symmetric space.

夾死提手勢

Lie Group Quaternion Attitude-Reconstruction of?Quadrotor UAVor a wide range of practical tasks, including fire protection, search and rescue, border surveillance, etc. Therefore, there is an ever increasing need for better controllers and dynamics simulators. The conventional approach to modeling UAVs is to use rotational quaternions for attitude determinati

Chromatic

A Variational Principle of?Minimum for?Navier-Stokes Equation Based on?the?Symplectic Formalismpatial representation. In the spirit of Newton-Cartan theory, our approach is covariant in the sense that it includes the gravitation and satisfies Galileo’s principle of relativity. This aim is reached in three steps. Firstly, we develop a Lagrangian formalism for the reversible media based on the

鋼盔

A Variational Symplectic Scheme Based on?Simpson’s Quadrature quadratic internal interpolation of the state and we approximate the action in a small time step by the Simpson’s quadrature formula. The resulting scheme is explicited for an elementary harmonic oscillator. It is a stable, explicit, and symplectic scheme satisfying the conservation of an approxima

Jargon

Allodynia

Endoscope

Singular Cotangent Models in?Fluids with?Dissipationrovide physical interpretations of the singular symplectic geometry underlying in .-cotangent bundles. The twisted cotangent model includes (for linear potentials) the case of fluids with dissipation. We also discuss more general physical interpretations of the twisted and non-twisted .-symplectic m

Flat-Feet

Multisymplectic Unscented Kalman Filter for?Geometrically Exact Beams for classical field theories. The presented approach is a field-theoretic analogue of the well-known unscented Kalman filter. The discrete-time propagation equations are derived from the discrete variational principle, rather than a direct discretization of the continuous-time differential equation