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Lecture
Decimal and Periodic Numbers
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Rational Numbers: Amplification and Simplification
Covers rational numbers, amplifying and simplifying fractions, and calculating values.
Properties of Rational Multiplication
Covers the properties of rational multiplication through fractions and simple calculations, leading to the resolution of division problems.
Decimal Writing: Fractions and Division
Explains the conversion between decimal and fractional writing, including division with remainder and a trick for periodic numbers.
Dedekind Cuts: Rational Numbers
Explores Dedekind cuts in rational numbers, essential for constructing real numbers.
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Number Theory: Integer Representation
Covers the representation of integers using different bases and the conversion between them.
Properties of Real Numbers: Bounds, Density, Absolute Value
Covers the properties of real numbers, including bounds, density, and absolute value.
Rational Numbers Construction
Explores the construction of rational numbers, irreducible fractions, equivalence, and simplification rules.
Number Representation and Algorithms
Explores number representation, algorithms, recursion, and probabilities in decimal and binary.
Mixed Protocol Framework for Machine Learning
Presents ABY3, a framework for secure machine learning computations.