Lectures related to Counter-example of basic condition

Propositions and Proofs

Explores propositions, proofs, and contraposition in mathematical theory, emphasizing logical rules and proof methods.

Concept of Proof in Mathematics

Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.

Discrete Mathematics: Logic, Structures, Algorithms

Covers the basics of discrete mathematics, including logic, structures, and algorithms.

Discrete Mathematics: Logic & Structures

Covers propositional logic, truth tables, and problem-solving strategies in discrete mathematics.

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Propositional Logic: Basic Logical Connectives

Covers propositions, logical connectives, truth tables, and propositional logic language.

Introduction & Propositional Logic

Covers the basics of propositional logic, logical connectives, truth tables, and compound propositions.

Propositional Logic: Basics and Applications

Covers the basics of propositional logic, its history, language, and computing applications.

Propositional Logic: Basic Logical Connectives

Covers propositional logic, logical connectives, truth tables, and compound propositions.

Propositional Logic: Implication and Compound Propositions

Covers logical connectives, implication, biconditional, and compound propositions in propositional logic.

Sets and Operations: Introduction to Mathematics

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

The Discriminant and Ideal Class Group in Mathematics

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

Subgroups Criteria: Propositions and Examples

Covers the criteria for subgroups and provides examples and proofs.

Stability of Networked Control Systems

Explores the stability analysis of Networked Control Systems under stochastic packet dropouts, emphasizing mean-square stability and practical implications.

Coordinate Calculations: Scalar Product in Coordinates

Covers the calculation of scalar products in coordinates and extends the concept to three-dimensional space.

Differentiability in Analysis

Explores differentiability in analysis, discussing conditions for functions to be differentiable and continuous.

Discrete Mathematics: Logic, Structures, Algorithms

Covers the basics of discrete mathematics, focusing on logic, structures, and algorithms for computer systems.

The inhomogeneous Ising chain

Covers the inhomogeneous Ising chain, Gibbs measures, and the Borel-Cantelli lemma.

Propositional Logic: Translations and Equivalences

Covers translating natural language to propositional logic and proving tautologies.

Logic: Proof Techniques

Explores proof techniques in logic, demonstrating how to prove or disprove propositions using negations and assumptions.