Lectures related to Orientation: Geomatics Elements

Bearings: Introduction

Introduces bearings, covering definitions, advantages, building blocks, friction sources, and types of bearings.

Discrete Time Solution: Stability Properties and Fixed Points

Explores stability properties and fixed points in discrete time solutions.

Scaling & Renormalization in Statistical Mechanics

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Plain Bearings: Calculation and Performance

Discusses the calculation and performance of plain bearings in smooth rotation.

Information Theory: Basics

Covers the basics of information theory, entropy, and fixed points in graph colorings and the Ising model.

Nonlinear Equations: Fixed Point Method Convergence

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

Bearings: Mounting Rules

Explains the rules for mounting bearings, including alignment tolerance, swivel angles, types of bearings, and the importance of play.

Picard Method: Fixed Point Iterative Technique

Covers the Picard method for solving nonlinear equations using fixed point iteration.

Bearings - Design and Sizing

Covers the design and sizing of bearings, emphasizing the importance of tight fitting rings.

Numerical Analysis: Nonlinear Equations

Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.

Convergence of Fixed Point Methods

Explores the convergence of fixed point methods and the implications of different convergence rates.

Rotations: Fixed Points and Spherical Coordinates

Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.

The Banach Fixed Point Theorem

Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.

Bethe Free Entropy

Covers the computation of Bethe free entropy and the interpretation of messages between variables and factors.

Mechanical Construction: Evaluation and Guiding Systems

Covers evaluation results for the Mechanical Construction course and guiding systems principles, emphasizing student feedback and the importance of proper supervision and material properties.

Nonlinear Equations: Fixed Point Method

Covers the topic of nonlinear equations and the fixed point method.

Renormalization Group: Effective Hamiltonian

Covers the concept of the renormalization group and the effective Hamiltonian.

Bistability in Genetic Networks

Explores bistability in genetic networks, analyzing fixed points and stability, phase portraits, and experimental implementation.

Rolling Bearings: Materials and Types

Explores the constitution and materials of rolling bearings, types, and selection criteria based on loads and speeds.

Ball Bearings: Applications and Stiffness

Explores the role of ball bearings in robotics applications and discusses stiffness of axes and various types of guides.