Lectures related to Application software

Composition of Applications in Mathematics

Explores the composition of applications in mathematics and the importance of understanding their properties.

Estimating Relaxation Time: Variance and Chains

Covers the estimation of relaxation time in chains and the importance of sample sizes.

Mapping Functions and Surjections

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Geometric Ergodicity: Convergence Diagnostics

Covers the concept of geometric ergodicity in the context of convergence diagnostics for Markov chains.

Differential Amplifier Design

Covers the design of a differential amplifier with key parameters like gain and bias current.

Markov Chain Monte Carlo

Covers the Markov Chain Monte Carlo method and the Metropolis-Hastings algorithm for generating samples from a target probability distribution.

Stochastic Simulation: Variance Reduction Techniques

Covers stochastic simulation and variance reduction techniques, focusing on Courra variate and auxiliary distribution generation.

Linear Algebra: Applications and Definitions

Explores linear algebra concepts, mappings between sets, unique element matches, and reciprocal functions.

Error Estimation in LHS

Covers error estimation in Latin Hypercube Sampling, emphasizing the importance of accurate variance estimation.

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Fiber Coupling with High Power Laser Diodes

Covers the design and transitions of high power laser diodes.

Understanding Software

Covers the definition, types, and building process of software, including system software and applications.

Introduction to Microcontrollers

Introduces microcontrollers, their applications, hardware, software, and practical work organization.

Autocorrelators

Covers the principles and applications of autocorrelators in laser technology.

Markov Chains: Reversibility & Convergence

Covers Markov chains, focusing on reversibility, convergence, ergodicity, and applications.

Linear Algebra: Surjections

Explores surjections in linear algebra, demonstrating their importance in mapping elements between sets.

Linear Algebra: Compositions of Applications

Explores compositions of applications and injectivity conditions in linear algebra, including restriction of applications and combinatorial proof of injections.

Laser Fundamentals: Principles and Applications for Engineers

Covers the fundamentals of lasers, their historical development, and applications in engineering fields.

Autocorrelators: pulse measurement methods

Explores the principles and applications of autocorrelators in measuring laser pulse profiles.