John D. Cook provides expert consulting in applied mathematics and data privacy, helping clients from tech, biotech, and legal industries—including Amazon, Google, Microsoft, and Amgen—solve complex problems efficiently.
53 articles from this blog
Explores bi-twin prime chains, a mathematical pattern where sequences of twin primes follow a doubling rule, with examples and Python verification code.
Explores prime number chains like Cunningham chains and their application in the Primecoin cryptocurrency's proof-of-work system.
Explores compressing sets of hash values using Golomb-Rice coding, detailing the theory and implementation with examples.
A new record for the largest known 'compositorial prime' has been set, a prime number with over 3.7 million digits.
Analyzes the rational approximation of log2(3) and log2(5) using continued fractions, comparing their approximation errors.
Explains the math and Python code for perfect in-shuffles and out-shuffles, comparing how many shuffles restore a deck's order.
Explores the mathematics of card shuffling, contrasting random 'rifle shuffles' with deterministic 'perfect shuffles' and their Python implementation.
Analysis of a unique knight's tour with minimal obtuse angles, presented by Donald Knuth in his annual Christmas lecture.
Explores why category theory requires collections larger than sets to be interesting, discussing foundational issues and cardinality.
Discusses the importance of validating AI and automated systems, covering methods like consistency checks, certificates, and formal verification.
Explores Bowie's obscure numerical method for solving ODEs, applying it to the nonlinear pendulum problem with Python code and analysis.
Explores the challenges of fitting exponential models to data, including handling non-exponential growth and uncertainty in predictions.
Explores the challenges of fitting a logistic curve using only data from its early, exponential-like growth phase, highlighting the unreliability of such extrapolations.
