Lectures related to Delimited continuation

Optimization with Constraints: KKT Conditions

Covers the KKT conditions for optimization with constraints, essential for solving constrained optimization problems efficiently.

Chemical Equilibria and Reactivity

Explores chemical equilibrium, temperature and pressure effects, Le Châtelier's principle, and solubility equilibria.

Hidden Subgroup Algorithm

Continues the discussion on Simon's hidden subgroup problem, focusing on finding a basis.

Partial Derivatives: Derivability

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Asynchronous Programming: Callbacks and Failures

Covers the concept of asynchronous programming and how to handle dependencies and failures.

Sequences and Convergence: Understanding Mathematical Foundations

Covers the concepts of sequences, convergence, and boundedness in mathematics.

Shor Algorithm: Period Finding

Covers the Shor Algorithm for period finding and its application in factorization, discussing the circuit implementation and measurement outcomes.

Risk Premium Illustration in Excel

Explains risk premium calculation in Excel using continuation prices and discounted cash flows.

Differential Forms on Manifolds

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Derivatives of Trigonometric Inverse Functions

Explores derivatives of trigonometric inverse functions and their properties, with examples and solutions included.

Convergence and Limits in Real Numbers

Explains convergence, limits, bounded sequences, and the Bolzano-Weierstrass theorem in real numbers.

Harmonic Oscillations: Superposition

Explores the principle of superposition for harmonic oscillations and provides geometric interpretations and examples.

Sequences and Series: Defined and Convergent

Covers the definition of sequences, subsequences, limits, and series, including Cauchy sequences and convergence.

Trigonometric Equations

Focuses on solving trigonometric equations using different methods, leading to the identification of the solution set.

Real Analysis: Sequences and Limits

Covers real sequences, induction, limits, and convergence in mathematical analysis.

Linear Operators: Boundedness and Convergence

Explores linear operators, boundedness, and convergence in Banach spaces, focusing on Cauchy sequences and operator identification.

Existence of y: Proofs and EDO Resolution

Covers the proof of the existence of y and the resolution of EDOs with practical examples.

Channelflow: Overview and Tools

Covers the Channelflow package, including DNS, chaos detection, invariant solutions, and eigenvalue computations, along with installation and testing details.

Integral Calculus: Fundamentals and Applications

Explores integral calculus fundamentals, including antiderivatives, Riemann sums, and integrability criteria.

Trigonometric Equations: Sinus and Cosinus

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.