Probability and Statistics
V-Statistics Explained With Python and a Simple Example
Understand V-statistics as averages over all ordered samples, with Python code using itertools.product and population variance.
▲Probability and Statistics
Probability and Statistics
Why Baby Gender Ratios Aren’t as Random as You Think
New research shows couples have individual probabilities for baby gender, challenging simple statistics
Math
The Hidden Math Behind Efficient Learning: Why Random Review Fails
Random sampling isn't your best study tool. The math explains why—and what works better for Android learners.
Integration
Average Distance Between Random Points in a Cube, Solved
The expected distance between two random points in a unit cube has a closed form. John D. Cook shows the…
Differential equations
How Math Behind Heat Equations Powers Your Favorite Apps
Discover the surprising link between heat equation math and the apps on your Android device right now.
Combinatorics
What the Coupon Collector Problem Means for Your App Testing
Why seeing all N items needs way more than N random samples
Math
The Surprising Math Behind Flat-Topped Height Distributions
Mixing two normal distributions with equal spread but separated means creates a flat top. Here is the intuition and when…
Probability and Statistics
Expected Range of Normal Samples: A Hands-On Guide
How to compute the expected max, min, and range of n normal samples, with a Mathematica recipe and a sanity-check…