Enumeration: Counting Subsets

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Introduces Cartesian product and induction for proofs using integers and sets.

Explains equivalence in linear algebra and set calculations with illustrative examples.

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.

Explores Cartesian equations for lines in a plane and their parametric descriptions.

Explores the symmetry of vectors with respect to a line in Analytical Geometry.

Explores the locus of points in a square and angles between them.

Explores parametric equations and their dependence on the choice of observation benchmarks.

Covers the fundamentals of spectroscopy, including tools and techniques used for internal conversion and vibrational relaxation.

Explores geometric transformations like translation and homothety in the plane.

Explores Analytical Geometry, emphasizing reflection and symmetry in matrices and planes.