Recap of week 2, and motivation for this week’s Part I: In an economy of $n$ agents and $m$ indivisible items, if all agents’ value functions are Gross-Substitute, the economy has a Walrasian Equilibrium $(\vec S, \vec p)$. The Walrasian Tatônnement process can find the equilibrium efficiently. The allocation also maximizes social welfare. But one subtle thing to notice about Walrasian Tatônnement is that it converges to an equilibrium. So here’s another way of solving it: ...

👏🤦🏻‍♀️👏🤦🏻‍♀️👏🤦🏻‍♀️ 50-years of open problem closed. Proteins are essentially correctly folded and well-functioning polypeptide chains. So theoretically, protein 3D structures are determined by the sequence of amino acids in the polypeptide chain. The Nobel Prize in Chemistry (1972) was awarded to C. Anfinsen for this finding. amino acids make up proteins essentially like LEGOS. importantly, proteins function only when they are folded and form their structure in the right way ...

Much to almost everyone’s surprise, the Nobel Price in Physics 2024 is awarded to John Hopfield and Geoffrey Hinton, for their foundational discoveries and inventions in ML: When we talk about artificial intelligence, we often mean machine learning using artificial neural networks. This technology was originally inspired by the structure of the brain. In an artificial neural network, the brain’s neurons are represented by nodes that have different values. These nodes influence each other through con­nections that can be likened to synapses and which can be made stronger or weaker. The network is trained, for example by developing stronger connections between nodes with simultaneously high values. This year’s laureates have conducted important work with artificial neural networks from the 1980s onward. ...

The official performance of 7 selected songs from Ariana Grande’s 7th album eternal sunshine is out. They are: intro (end of the world) don’t wanna break up again eternal sunshine supernatural yes, and? we can’t be friends imperfect for you My favourite is supernatural, Ari’s vocal is accurate and almost flawless: Editor Katia Temkin seems to be in favor of her weird hand-held camera angle that moves back and forth in an annoyingly unstable way. Editing is also clueless. It’s very disappointing to see this level of unprofessionalism in industry production. ...

Mastery of techinuqe, sweet cockyness, and looking like to be having so much fun—here’s Marianela Núñez’s Kitri in Don Quixote:

Following yesterday’s post about Giselle, I want to discuss a topic that lies close to my heart—musicality in ballet. As a former professional flutist, my perspective may be biased, but I firmly believe that musicality is often underestimated in ballet performances. Let’s begin with a snippet from the Bolshoi Ballet’s Sleeping Beauty. It’s worth noting that Tchaikovsky’s Swan Lake premiered at the Bolshoi Theatre on March 4, 1877. Today, the Bolshoi Ballet is considered one of the best in the world in 2024. ...

Not the standard choreography of Giselle’s variation. Surreal, pure artistic beauty. View this post on Instagram A post shared by Só Bailarinos (@renatosobailarinos) ...

A common way of debug during programming is to print() information at critical checkpoints in the program. But sometimes, you’ll get tired of endless verbose console outputs… So here’s a solution use logging Logging is a means of tracking events that happen when some software runs. The software’s developer adds logging calls to their code to indicate that certain events have occurred. …Events also have an importance which the developer ascribes to the event; the importance can also be called the level or severity. ...

The trial lasted for three weeks—Sep. 9 to Sept 27—mic drop🎤. my views and summarizations: get you 🍿popcorn🍿 ready | the DOJ vs. Google DOJ vs. Google | DOJ’s complaints DOJ vs. Google | the paper box DOJ vs. Google | DOJ’s complaints, breaking down | Part I DOJ vs. Google | DOJ complaint break down | Part II DOJ vs. Google | Waterfall Auction -> Header Bidding -> Open Bidding, All Explained DOJ v. Google | Google’s defense DOJ v Google | Paul Milgrom pushes adtech nerds’ carnivals to a next level what comes next? The court will now take a nearly two-month break before reconvening for closing arguments right before Thanksgiving. ...

Following the previous discussion about the problematic post-graduate admission system. Fudan University (FDU)’s School of Management announced the students who defaulted their offers FDU university annouced the name and their undergraduate affiliation of the students who defaulted their offer. (translated version) original archived here. original link. It happens every year, everywhere. FDU chose to list the students as a threat but it doesn’t seem to work well because the list of name grows longer year by year… ...