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Tag Archives: mathematics
Intersection of a Chain of Subsets
Assume $\{F_x\}_{x \in \Gamma}$ is a collection of subsets (of a not-so important set!) such that every two are comparable, i.e for any $x$ and $y$, either $F_x \subset F_y \ \ $ or $\ \ F_x \supset F_y \ … Continue reading
Shedding light on AI’s black boxes
A recent special issue in Science highlights the increasingly important role that artificial intelligence (AI) plays in science and society. Providing a small but compelling sample of the types of challenges AI is equipped to tackle—from aiding chemical synthesis efforts … Continue reading
Posted in Mathematics in Society, Statistics, Technology & Math
Tagged AI, Artificial Intelligence, mathematics, statistics, Technology
Comments Off on Shedding light on AI’s black boxes
Matrix Multiplication, the human way!
Having to do copious calculations by hand when preparing for an exam, I came to realize that there was an alternative way of interpreting a matrix multiplication. This new insight would allow me to instantly guess the following product without … Continue reading
Posted in Math
Tagged mathematics, Matrix multiplication, tips and tricks
Comments Off on Matrix Multiplication, the human way!
Ordered Fields and When You Can’t Order Them
The real numbers have an ordering on them–given two numbers and , we can tell whether or . So as math people, we like to generalize this to other sets–when can we say that a general set is ordered? In this post, … Continue reading
Posted in Math
Tagged Complex Numbers, Fields, mathematics
Comments Off on Ordered Fields and When You Can’t Order Them
The Science of Moving Dots
A guest post by Allison Kotleba: When most people think of basketball, they picture the tall players, the fast-paced plays, and the seemingly impossible shooting skills. However, spatiotemporal pattern recognition does not come to most people’s minds when discussing the … Continue reading