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Concept

Computer algebra system

Related lectures (30)

Number Theory: Congruence

Covers congruence modulo m and arithmetic operations.

Number Theory: Congruence

Explains congruence modulo m and its applications in arithmetic operations.

Elementary Algebra: Numeric Sets

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

Counterexample to Induction Theorem MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers MOOC: Analysis I

Explores a counterexample to the induction principle, demonstrating a property of natural numbers.

Finite Fields and Vector Spaces

Explores finite fields, vector spaces, commutative groups, and field properties, highlighting their significance in coding theory and algebraic computations.

Linear Algebra: Singular Value Decomposition

Delves into singular value decomposition and its applications in linear algebra.

Combinational Circuits Synthesis

Covers the synthesis of combinational circuits and the methodology for analyzing specifications.

Algebraic Expressions

Covers algebraic expressions, operations, factorization, and equation solving.

Inverse Hyperbolic Functions: Examples

Covers examples of inverse hyperbolic functions and their applications in solving mathematical problems.

Ergodic properties of low complexity symbolic systems

Explores the influence of complexity on ergodic properties of symbolic systems, presenting the Curtis-Hedlund-Lyndon Theorem and constructions of minimal subshifts.

Compositions and adjoints of unbounded operators

Covers the fundamental concepts of unbounded operators and their adjoints, exploring auto-adjoint and normal operators.

Polynomial Identity Testing

Covers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.

Value Increase: Real Estate Economics I MOOC: Soil and Real Estate Economics I

Explores the calculation of return rates and the importance of value increase in real estate economics.

Pairs of Functions MOOC: Warm-up for EPFL MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers MOOC: Analysis I

Discusses reciprocal functions and their graphs, including x² and √x, e^x and ln(x), and tangent and arc tangent.

Polynomials, Division, and Ideals

Explores polynomials, their operations, and the concept of ideals in polynomial rings.

Algebraic Kunneth Theorem

Covers the Algebraic Kunneth Theorem, explaining chain complexes and cohomology computations.

Numerical Methods: Weak Variational Form and Integration by Parts Log in to Mediaspace to watch this video

Explores approximation methods and weak variational forms in numerical methods.

Numerical Methods for Physics: Iterative Solutions and Mesh Convergence Log in to Mediaspace to watch this video

Explores finite differences for solving linear systems from PDEs iteratively, emphasizing convergence criteria and exercises on singularities.

Numerical Flow Simulation: Methods and Applications Log in to Mediaspace to watch this video

Explores numerical methods for flow simulation, including finite element, spectral, particle, and lattice Boltzmann methods.

Example: 1D steady diffusion Log in to Mediaspace to watch this video

Explores the numerical simulation of steady convection-diffusion problems, discretization, boundary conditions, and algebraic system assembly.