Dyadic rational

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Related lectures (31)

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Rational Numbers Operations

Explains the properties of addition and multiplication in Q with illustrative examples.

Introduction to Analysis: Understanding Real Numbers and Proofs

Covers the basics of analysis, including real numbers, proofs, sets, and operations.

Q is a Field

Covers the properties of rational numbers and introduces the concept of an ordered field in Q.

Norms and Valuations on Fields

Covers the construction of Qp, norms, valuations, and Ostrovski's theorem.

Organization, Numbers: Real Numbers and Equations

Introduces real numbers, including equations like x²=2 with no rational solutions.

Euclidean Division and Simple Elements

Explains polynomial division, factor decomposition, and rational function simplification.

Complex Numbers: Introduction and Operations

Introduces complex numbers and their forms, including Cartesian, polar, and exponential forms, and explains how to find the argument of a complex number.

Construction of Real Numbers

Discusses the construction and uniqueness of real numbers from rational numbers.

Complex Numbers: Algebraic Structures and Applications

Covers algebraic structures, real numbers, fields, and the applications of complex numbers in science and engineering.

More Results on Inf/Sup, Density of Q in R

Covers inf/sup, integral part of real numbers, and density of rational numbers.