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Absolute Value and Complex Numbers

Covers the absolute value function, complex numbers, Euler's formula, and trigonometry applications.

Newton's Binomial and Real Sequences

Explores Newton's binomial theorem and real sequences with examples and definitions.

Complex Numbers: Polar Form

Covers the polar form of complex numbers and its applications in mathematical calculations.

Composition of Applications in Mathematics

Explores the composition of applications in mathematics and the importance of understanding their properties.

Complex Numbers: Polar Form

Explains the polar form of complex numbers and Euler's formula in the complex plane.

Finite Dimensional Spaces

Explores finite dimensional spaces, covering extraction process, bases generation, and space completion.

Complex Numbers: Definitions and Properties

Covers the definitions and properties of complex numbers, including the field of complex numbers, the conjugate, the real and imaginary parts, algebraic form, modulus, and argument.

Limit of a Sequence

Explores the limit of a sequence and its convergence properties, including boundedness and monotonicity.

Complex Numbers: Module and Conjugate

Covers the manipulation of algebraic laws on complex numbers.

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Complex Analysis: Functions and Their Properties

Covers the fundamentals of complex analysis, focusing on complex functions, their properties, and applications in solving differential equations.

Complex Numbers: Operations and Representations

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

Exponential Family: Definition and Properties

Covers the Exponential Family, including its definition, sufficient statistics, and distribution properties.

Elementary Properties of Complex Numbers

Covers the elementary properties of complex numbers through examples and discusses the regions of the complex plane.

Complex Numbers: Definitions and Applications

Explores complex numbers, arguments, modules, and polynomial equations with complex coefficients.

Free Resolution of Modules

Covers free resolution of modules and projective modules in module theory.

Complex Numbers: Cartesian Representation

Covers the Cartesian representation of complex numbers and basic operations involving them.

Complex Numbers: Operations and Properties

Explores complex numbers, including modulus, conjugation, and Euler formula.

Piecewise Linear Interpolation and Spline Interpolation

Covers piecewise linear and spline interpolation methods, stability, convergence, and data interpolation using splines.

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