Matching Polynomials: Real-Rooted Property

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Delves into causality in an indeterministic world, challenging traditional views and exploring the implications of quantum physics on randomness and reality.

Random Walks: Moran Process and Examples

Explores random walks, the Moran process, and examples in population genetics, protein abundance modeling, and bacterial chemotaxis.

Building Ramanujan Graphs

Explores the construction of Ramanujan graphs using polynomials and addresses challenges with the probabilistic method.

Matroids: Matroid Intersection

Covers the concept of matroids, focusing on matroid intersection and the properties of subsets of a ground set.

C++ Standard Library: Containers and Algorithms

Explores containers and algorithms in the C++ standard library, including find, copy, and sort functionalities.

Quantifying Randomness and Information in Biological Data

Explores entropy, randomness, and information quantification in biological data analysis, including neuroscience and protein structure prediction.

Random Numbers Visualization

Explains how constants affect the mean and variance of random numbers.

Luria-Delbrück Experiment

Explores the implications of the Luria-Delbrück experiment on evolutionary mechanisms and the importance of probabilities in understanding biological data.

Message passing in graphical models

Explains message passing in graphical models and the matching problem in graph theory.

Random Number Generators: Modulo Generator

Explores random number generators on computers, focusing on the Modulo generator and the criteria for pseudo random numbers.