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How Elliptic Curves Secure the Digital World
Today, elliptic curve cryptography is used throughout the internet... How Elliptic Curves Secure the Digital World Alexis Newton High Point University Introduction Imagine you're texting a friend. You type a message, hit send, and a second later it appears on their phone. Simple, right? Not quite. Behind that...
Luckily, such a formula exists, and there are lots of ways to find it. In this post, we'll find it using power series. Read on, brave bunny farmer... A Golden Formal Power Series Courtney Gibbons Hamilton College Some days, I feel a lot like the angel in Dürer's Melencolia I
What Makes a Plot Interesting?
Jumping straight to the model might make us miss something interesting... What Makes a Plot Interesting? Prediction Edition Sara Stoudt Bucknell University How do you go about finding something "interesting" in a new dataset? I recommend taking the time to explore. This exploration process requires actually looking at...
Another Look at Circles and Squares
This is not obviously a difficult problem. But in over two hundred years since Carl Friedrich Gauss first posed it, there has been remarkably little progress... Another Look at Circles and Squares Bill Casselman University of British Columbia Another look at circles and squares One of the most intriguing unsolved
The Shapley Value, or How to Split a Bill in n! Easy Steps
My first encounter with the Shapley value came in the unlikely context of video game design... The Shapley Value, or How to Split a Bill in $n!$ Easy Steps Anil Venkatesh Adelphi University Introduction More often than not, a happy hour with my non-mathematician friends ends with the assumption that
The Story Your Ballot Doesn't Tell
Every ballot quietly asks a question, and depending on the voting method we use we choose to listen to or discard little bits of the answer... The Story Your Ballot Doesn't Tell: The Mathematics of Single-Winner Elections Anna Haensch University of Wisconsin - Madison Introduction: Who's the Spoiler? The great
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Puzzling Like the Seventeenth Century
Though the chart starts out in alphabetical order, there's a break in the pattern that offers a clue... Puzzling Like the Seventeenth Century Ursula Whitcher Mathematical Reviews (AMS) The following chart is taken from the second edition of a German-language arithmetic textbook by Anton Schultze. It was published in...
How to Untwist Your Fractions
You could pick up the torus and rotate it horizontally, as though you are taking the lid off of a jar of peanut butter... How to Untwist Your Fractions Diana Davis Phillips Exeter Academy A string around a bagel Here's the problem: your bagel has a torus knot wrapped around
Does Mathematics Progress?
Every time some mathematical question is answered, it generates new mathematical issues to think about.... Does Mathematics Progress? Joe Malkevitch York College (CUNY) Introduction With the beginning of a New Year—2026 in one system of counting, though not all societies use the same calendar—many people take the...
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