Concept

Order theory

Related lectures (27)

Hadamard Factorisation

Covers the Hadamard factorisation theorem for entire functions of order at most 1.

Taylor Polynomial: Order, Development, and Limits

Explores Taylor polynomials, including order, development, limits, and algebraic operations.

Limit of a Sequence

Explores the limit of a sequence, convergence conditions, algebraic operations, and order relations.

Elementary Algebra: Numeric Sets

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Enumeration: Counting Subsets

Covers the concept of enumeration and counting subsets of a finite set with examples and factorial notation.

Technical Aspects: Structure, LCA, Thermal Analysis

Covers technical challenges in projects, including structural aspects, life cycle analysis, and energy needs.

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Monster Group: Representation

Explores the Monster group, a sporadic simple group with a unique representation theory.

Finite Element Method: Transmission Line Analysis

Covers the finite element method for transmission line analysis, including steps to minimize power loss and boundary conditions.

Equality, Order, and Hashing

Discusses the importance of defining equality in collections and how order and hashing optimize operations.

Numerical Differentiation and Integration

Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.

Newton's Method: Order 2

Explains Newton's method of order 2 for finding function zeros.

Differential Equations: Order and Solutions

Covers differential equations, focusing on order and solutions using specific formulas.

Powers, Roots, and Calculation Rules

Covers powers, roots, calculation rules, logarithmic functions, reciprocal functions, sets, and basic notations.

Financial Decision Making: Cost-Benefit Analysis in Projects

Covers financial decision making through cost-benefit analysis in public projects, focusing on investment viability and the implications of interest rates.

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Introduction to Real Numbers

Introduces the properties and structure of real numbers, emphasizing completeness and the Archimedean property.

IT Forum: EPFL IS Strategy

Discusses EPFL's IS strategy, achievements, challenges, and the shift towards a service-oriented organization to meet growing IT needs.

Isomorphism: Order of Group Elements

Explores isomorphism and the order of group elements, emphasizing matching identities and inverses.

Diffie-Hellman Cryptography: Key Exchange and Attacks

Explores Diffie-Hellman key exchange, DDH problem, active attacks, and cryptographic protocol challenges.