Lectures related to Mars 2020 | EPFL Graph Search

Hypothesis Testing with Gaussian Noise

Covers hypothesis testing with Gaussian noise and the standard Gaussian distribution.

Signal Processing Fundamentals

Covers the alternate formulation of signal processing and the sufficiency of the Waliland ratio in signal sets.

Linear Algebra: Projection and Rotation

Covers projection, rotation, white Gaussian noise, and waveform observation in linear algebra.

Polymer Rheology: Relaxation and Molecular Spectra

Explores polymer rheology, focusing on relaxation phenomena and molecular spectra.

Quadratic Forms and Hecke Operators

Explores quadratic forms, Hecke operators, eigenvalues, and compactly supported functions in matrix theory.

Central Limit Theorem: Proof via Lindeberg's Principle

Explores the proof of the Central Limit Theorem through Lindeberg's principle and the convergence of random variables.

Factorisation in Dedekind Ring

Explains the factorisation of ideals in a Dedekind ring using prime ideals and covers ramification index, residual fields, inertia degree, and properties of Dedekind rings.

Volume and Signal Processing

Covers volume and signal processing concepts in mathematical calculations and signal analysis.

Microstructure of Wood Slicing

Explores the micro-preparation of wooden samples for studying natural glue systems in wood, focusing on wood slicing and microstructure observations.

Duality Principle: Radon Measures and Homeomorphisms

Explores the Duality Principle for Radon measures and its applications.

Psychological Safety & Character Strength

Explores psychological safety and character strengths in creating a positive work culture.

Biomass: Resources & Conversion Technologies

Provides an overview of biomass resources, conversion technologies, advantages, drawbacks, and sustainable potential.

Modular Forms: Properties and Applications

Covers the properties and applications of modular forms and discusses equidistribution and modularity.

Rover coordinates: Step 5

Covers the precise determination of rover coordinates using advanced satellite positioning techniques.

White Gaussian Noise in Communication Systems

Covers White Gaussian Noise in communication systems and its impact on signal transmission.

Inequalities: Cauchy-Schwarz, Jensen, Chebyshev

Explores inequalities for random variables, including Cauchy-Schwarz, Jensen, and Chebyshev.

Radiation Detection: Ionization Chambers

Explores ionization chambers, micro-channel plate detectors, and passive neutron detectors, along with radiation detection on Mars.

Localization Theorem in Dedekind Rings

Explores the Localization Theorem in Dedekind rings, isomorphism induced by injection, and ramification in field theory.

Mars Mission: Timio's Journey

Explores a program for Timio to navigate Mars successfully using sensor-based instructions.

The Discriminant and Ideal Class Group in Mathematics

Explores the discriminant in matrices, ideal class groups, and optimal embeddings in mathematics.