Concept

Continued fraction

Related lectures (29)

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.

Groups and Numbers: Hidden Subgroup Problem

Explores groups and numbers, emphasizing the hidden subgroup problem and its complexities in classic and quantum algorithms.

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Rolle's Theorem: Applications and Examples

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

Integration of Rational Functions

Covers the integration of rational functions, including the decomposition into partial fractions and the use of complex zeros.

Properties of Rational Multiplication

Covers the properties of rational multiplication through fractions and simple calculations, leading to the resolution of division problems.

Auxiliary Assertions in Stainless

Showcases the use of assertions in Stainless to prove properties of fractions.

Division and Multiplication in Rational Numbers

Explores division and multiplication in rational numbers, emphasizing the concept of multiplying by the inverse.

Decomposition of Fractions: Simple and Corollary Proof

Covers the decomposition of fractions into simple terms and provides a corollary proof related to the convergence of integrals.

Continuity: Examples and Definitions

Covers the concept of continuity, providing examples and definitions of continuous functions.

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Balanced Realization: SISO Case

Covers the concept of balanced realization in the SISO case, focusing on system observability and controllability.

Shor Algorithm: Measurement Process Analysis

Explores the analysis of the measurement process in the Shor Algorithm.

System Equivalence

Explores system equivalence, state-space representation, transfer functions, and Euclidean rings, emphasizing unimodular matrices and their properties.

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Quantum Algorithms: Shor Algorithm

Covers the analysis of measurements in the context of the Shor algorithm.

Addition of Fractions

Covers the addition of fractions and properties of rational numbers, emphasizing associativity and summing fractions with the same denominator.

Euclidean Division and Simple Elements

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

Exponential Functions

Explores the properties of exponential functions, including growth, decay, and their relationship with logarithmic functions.

Multiplication in Rational Numbers

Covers the extension of addition and multiplication operations in rational numbers.