The imprint of the world in our minds is not photographic: all the brain knows of the outside world is a chaotic sequence of electric impulses and out of these it creates a structural entity: our perception of what we see and hear. Most of the time, an adult's brain talks to itself and creates … Continue reading Another Mikhail Gromov Piece

Tag: Math

# Category of Networks PPT

It's interesting to find this presentation because last week as I was traveling and thinking about random things, I suddenly realized that perhaps graphs & networks are the underlying math for ways of describing our universe! We have social networks, biological systems, genealogy(family trees), entropy, lots of math objects (even knots!), brain, CFT, Feynman diagrams, … Continue reading Category of Networks PPT

# Quotes by Mathematicians

In mathematics you don't understand things. You just get used to them. --John Von Neumann Since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in the universe in which some rule of maximum or minimum does not appear.--Leonhard Euler

# Are all the U.S. Presidents related to each other? Shared from Quora

It will also be an interesting exercise or even project to work on the probability of random people sharing genealogy up to a certain amount of time. Are all the U.S. Presidents related to each other? by Brian Roemmele https://www.quora.com/Are-all-the-U-S-Presidents-related-to-each-other/answer/Brian-Roemmele?srid=2GFd&share=58fef9f8

# The Unknown Unknown in the Logic of the Mind

https://m.youtube.com/watch?v=HYsv5DRl8L4 Second talk by Misha Gromov at Stanford. Nov 11. I really enjoyed the talk, truly inspiring. He walked through different scientific fields including biology, linguistics, and psychology across several centuries, analyzing how people studied science and gave his insights (from the perspective of a mathematician I think). -worth noticing how rephrasing a finding in … Continue reading The Unknown Unknown in the Logic of the Mind

# Scalar Curvature, Convex Polyhedra & Differential Operators

Prof Misha Gromov gave two lectures at Stanford on Nov 10 and Nov 11. Here is a brief summary of his Nov 10 lecture: Scalar curvature influences topology and asymptotic geometry of Riemannian manifolds, it is associated with the Einstein equation, it controls the Hamilton-Ricci flow. Yet, the geometric meaning of the scalar curvature remains … Continue reading Scalar Curvature, Convex Polyhedra & Differential Operators

# 7 Shuffles is Enough

A famous result by our mathemagician Persi Diaconis: 7 shuffles is enough. Put it in everyday words, to randomize one set of Poker cards, you need to (Riffle) shuffle at least 7 times. *Side note: according to this lecture notes, the interpretation is not correct. To completely randomize the deck, you need 11 or more. … Continue reading 7 Shuffles is Enough

# Non-Measuable Ghost: Persi’s Halloween Talk

It was a ghostful Monday--a Monday full of non-measurable ghosts. You've probably heard of this one sphere cut into five pieces becomes two spheres story. This Monday Professor Persi Diaconis gave a public Halloween lecture about these ghosts. I would love to share an amazing proof that shows 0.5=0.99 or 0.999 or 0.9999. Well, with … Continue reading Non-Measuable Ghost: Persi’s Halloween Talk

# Creative Ways of Communicating Research

I'm part of LYNX under the Stanford Undergraduate Research Journal this year. Here's a useful piece we received as new writers: Awesome Examples Writing Quanta Magazine (here) Nautilus (here) Asian Scientist Magazine (here) Philosophy Now (here) Podcast / Radio / Audio Radiolab (here) Cold Spring Harbor Labs Oral History Collection (here) Philosophy Bites (here) Social Science … Continue reading Creative Ways of Communicating Research

# A complex analysis/power series challenge from What’s New

Mark. Will attempt it. A problem involving power series - http://wp.me/p3qzP-2sQ