Complex conjugate of a vector space

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Page 3 of 4

Covers the fundamental theorem of algebra, explaining how every polynomial has complex roots.

Covers the concepts of Galoisian and normal, including examples and evidence of coatings, revetemat, and conjugate groups.

Covers the definitions and properties of dual spaces and linear operators.

Analyzes plasma instabilities through case studies, exploring the implications of roots in the complex plane.

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.

Explores transfer functions, frequency response, Bode diagrams, and poles and zeros in circuits.

Covers the properties of signal/data representations using Fourier transformations and matrices.

Covers the concept of limits and explores limits at infinity with illustrative examples.

Explores complex numbers, their operations, and representations in Cartesian and polar forms.

Covers the properties of the ring of Eisenstein integers and its submodule structure.