@TEDJohnMark To quote an example from wikipedia, an earthquake twice as large is four times as rare.
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Network Science
27 posts
Network Science
@networkscience
Will surprise you with the facts about how viruses spread, how any two random twitterers are linked and how the whole world is a small world :)
'Small' World انضم Şubat 2009
7 يتبع1.1K المتابعون
If you don't know about Milgrams Six degrees of Separation experiment, check out http://bit.ly/6degrees and http://bit.ly/vf0Zu
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SIR model is one of the oldest to model epidemics. One can be (S)usceptible, (I)mmune or (R)emovd. Disease becomes epidemic abv a threshold.
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When you boil an egg, it goes from liquid to solid abruptly. Percolation theory was developed to explain that, now also used for epidemics!
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Network Science أُعيد تغريده
Welcome to the #AI Report.
We are curating a newsletter that's research focused, and aims to equip you with actionable insights on the latest developments in #GenerativeAI and #ML.
Read the inaugural edition here: bit.ly/3M8YJnA
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Network Science أُعيد تغريده
Mathematics.
Shiver in ecstasy. An exact formula for determining the n-th prime number. bit.ly/3HY9zfn
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@stevenstrogatz This looks like progress in Science: nothing, nothing, nothing, and then everything clicks!
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Wordle 208 6/6
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tough one today (for me, at least)
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Network Science أُعيد تغريده
I'm teaching "Networks" at Stanford again this quarter, my 7th run of the course with 100+ students, following the excellent Easley & Kleinberg textbook (and mega-class at Cornell!). Always a thrill. If you teach a related class, here's an awesome lecture trick… 🧵 1/
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The networks that help us sometimes gets us in trouble!
We got firsthand experience of this with air travel during this pandemic. But it's nothing new: the vast road networks that the Romans constructed also helped spread Plague along those networks.
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Network Science أُعيد تغريده
Fav networks of 2021, 3/7
A network of NFTs on @SuperRare - each node representing one #NFT while two are linked based on their number of shared owners. A project with @barabasi that also appeared in the @nytimes
#networkscience #datascience #datavisualization #nft #cryptoart
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Image from [1]. Obama is the left most blue cross, and I am somewhere in between (but let's push me to the left?)
[1] Aparicio, Sofía, Javier Villazón-Terrazas, and Gonzalo Álvarez. "A model for scale-free networks: application to twitter." Entropy 17.8 (2015): 5848-5867.
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If it is already not clear, Twitter is a scale-free network where the number of followers that the users have, follows a power law distribution. That's why @BarackObama (who follows me!) has 100k times more followers than me. This can never happen with Gaussian distributions.
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Network Science أُعيد تغريده
A very nice, gentle explanation of “envelopes” and their connection to string art (and partial derivatives).
Dave Richeson@divbyzero
When I was a kid I used to make this sketch: connect (1,0) to (0,10), (2,0) to (0,9), etc. I thought it was cool that these straight lines had a curved boundary. Now I know that this curve is called the *envelope* of the family of lines. What is this curve? 1/7
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"A 2007 study by @jure and Eric Horvitz examined a data set of instant messages composed of 30 billion conversations among 240 million people. They found the average path length among Microsoft Messenger users to be 6"
What a small, but fascinating world we live in!
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"Watts found that the average (though not maximum) number of intermediaries was around six."
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We live in a small world, where pretty much everyone is separated by six degress of separation.
See the thread for an experiment by Prof. Duncan Watts who recreated Milgrams experiment.
Network Science@networkscience
If you don't know about Milgrams Six degrees of Separation experiment, check out http://bit.ly/6degrees and http://bit.ly/vf0Zu
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Network Science أُعيد تغريده
🤯 Topological Logic - a rod through one hole of a double torus can pass through both with some careful stretching of the surface. No tearing or pinching required. A fantastic video made by math professor Dave Richeson @divbyzero
GIF
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Leskovec et al. found the diameter of networks shrink as they grow. So the 6 in 6 degrees of freedom will slowly decrease!
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Birds of same feather flock together. Interesting paper that uses your friends' info to deduce info about you: http://bit.ly/aY6Xr7
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