Geometric analysis

Related lectures (31)

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Covers the geometric properties of the dot product and its algebraic aspects.

Covers global relief indicators, altitude models, slope, orientation, curvature, and morphological indices for terrain description.

Focuses on the proof of Exercise 5 in Analytical Geometry, emphasizing trigonometry concepts in solving geometric problems.

Covers the definition and properties of the scalar product, including geometric interpretations and algebraic properties.

Covers the reparameterization of geometric curves and the concept of 'same geometric curve'.

Explores volume calculation of revolution bodies using mathematical formulas and inequalities.

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

Explores the normalization of three reflection planes in geometry through rotor-reflections and glided reflections.

Covers the geometric properties of discrete variables in geographic information systems, focusing on shape, location, and size indices.

Delves into the historical context and mathematical properties of conic sections like parabolas, ellipses, and hyperbolas.