Lectures related to Local Frame: Navigation and Cartography

Covers the conversion and applications of spherical coordinates in mathematical and physical contexts.

Explores geometric examples of triangles and functions, demonstrating the variation of x and y within defined ranges.

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

Explores coordinate vector operations, from digitizing points to transforming and manipulating geometric spaces using coordinates.

Covers the analytical expression of orthogonal projections and reflections in 2D space.

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Covers trigonometric bisection formulas and transformations between sums and products.

Explores complex numbers in polar form, Euler's formula, and coordinate transformation.

Covers vector manipulation, including Cartesian coordinates, magnitudes, angles, and resultant forces through live written corrections of exercises.

Explores arc length calculation for curves and polygons inscribed in circles using trigonometry and parametric equations.

Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.

Discusses the combination of augmented reality technology with spatial information and its various applications.

Delves into the evolution and applications of augmented reality in GIS.

Explores the construction of graphs for harmonic oscillations with different amplitudes and phases.

Covers cylindrical and spherical coordinates, transformations between coordinate systems, and rotations in physics.

Covers the use of GNSS for space applications, including navigation, low-cost solutions, and real-time examples.

Covers obstacle avoidance and navigation strategies in mobile robotics using sensors and potential fields.

Explores the transformation of constraints and deformations in materials, focusing on stress analysis and tensor diagonalization.

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Covers expressing sums and products using trigonometric functions step by step.