P versus NP problem

Formal sciences
Theoretical computer science
Theory of computation
Computational complexity th...

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Security Algorithms: DES

Explores perfect confidentiality, algorithmic security, one-way functions in DES, and the challenges of NP-complete problems.

Compilers: Challenges with Digital Signal Processors

Covers the challenges of compiling for digital signal processors due to their unique architectural features and irregularities.

Introduction to Algorithms

Introduces the importance of studying algorithms, presents a clever algorithm for calculating an arithmetic series, and discusses efficiency and correctness in algorithms.

Regression: High Dimensions

Explores linear regression in high dimensions and practical house price prediction from a dataset.

Statistical Physics: Spin Glasses & Optimization

Explores the Curie-Weiss model, spin glasses, and optimization problems in statistical physics.

Smart Contracts: Bitcoin and UTXO

Explores smart contracts in Bitcoin, UTXO model, authorization, validity checks, challenges, applications, and emerging trends.

Traveling Salesman Problem: Introduction and Approximation Methods

Introduces the Traveling Salesman Problem and explores approximation methods using Markov chains.

Introduction to Numerical Analysis

Covers the basics of numerical analysis, including adaptive feature computation, residual analysis, and the importance of well-posed problems.

Digital Controller Design: Pole Placement Technique

Covers digital controller design, focusing on discrete-time models and the pole placement technique.

Understanding Complexity: Algorithms and NP Problems

Covers complexity classes, tractable problems, the class NP, NP-complete problems, and summarizes the concept of tractable problems.