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A central problem in combinatorics, probability theory, and analysis is to understand the spectrum of random d-regular graphs G with vertices. The following paper marks a huge leap in our understanding of this problem. Ramanujan Property and Edge Universality of Random Regular Graphs, by Jiaoyang Huang, Theo Mckenzie, and Horng-Tzer Yau. Abstract: We consider the normalized adjacency matrix of a random -regular graph on vertices with any fixed degree and …

The post Sunday Secrets appeared first on PostSecret.

Herring Gull next to the Thames by HMS Belfast this week

Occasionally, I try a perfume for the first time and feel an immediate rush of excitement. It smells so wonderful, so perfect, that I think I’ve discovered a new favorite. But then, on subsequent tries, I can never recreate that initial feeling. The magic seems to vanish, leaving me wondering if I imagined it all. […]

Mesmerizing, delicate and seemingly impossible — this lovely luminescent denizen of the sea has been living in our oceans for more than half a billion years. Jellyfish are found all over the world, from surface waters to our deepest seas — and they are old. They are some of the oldest animals in the fossil record.Jellyfish are not fish at all. These gossamer wonders evolved millions of years

In the land of my father, as I recall, there was a pink Ganesha Scotch-taped to the back of the door. I pushed the door open, one hand parallel to the face of the idol, into the twisted light of a blue winter morning and saw him waiting for me there, on the stone steps. He did not have the comic humility of a playful divinity; he did not doff …

Resources used in the creation of this article include RareAfx’ Sample sources page. user18081971 SoundCloud page. user1808191 google spreadsheet. WATMM SoundCloud dump thread. Text files I compiled of Richard’s quotes during the SoundCloud Dump. Discogs page for user18081971. Version 0.6 of my Lanner Database/my gigantic mess of Aphex Twin related files that sorely needs backing up. Aphextwin.net webstore comment section. Thanks to everyone who created and maintained these sources of …

I decided to start posting on Dreamwidth for awhile at the beginning of 2024. I thought I needed something to shake up my blog and help motivate me to write more. One of the most prolific periods of writing in my life was approximately 2002-2008 on livejournal. That site's been co-opted and barely exists anymore, but dreamwidth is a long-running community alternative based on the livejournal source code from around …

Hello! Recently I ran a terminal survey and I asked people what frustrated them. One person commented: There are so many pieces to having a modern terminal experience. I wish it all came out of the box. My immediate reaction was “oh, getting a modern terminal experience isn’t that hard, you just need to….”, but the more I thought about it, the longer the “you just need to…” list got, …

About a year or so ago, Manuel Moreale wrote a post called I’ll read it. In it, he made a simple offer to anybody who was on the fence about starting their own blog because they either didn’t know what to write about, or because they were afraid nobody would read what they had written. I was one of the people who took him up on his offer. I believe …

All the Way for the Win was just published by Penteract Press — today! It’s available for sale from their online store. This book of poetry begins by narrating the birth of the universe and concludes after describing the eradication of the last human-authored poetic text. While it doesn’t deal with everything in between, it’s mean to touch on many aspects of human history and experience. The poems in the …

To read this excellent edition and translation of John Buridan’s Questions on Aristotle’s De Anima is to encounter two things at once: an intellectual landscape remote from both ancient hylomorphism and post-medieval European philosophy and a bridge between the two.[1] Like Aristotle, Buridan thinks that all living things are animated by souls. But these souls are in many ways unlike the souls of Aristotle’s De anima. According to Buridan, the …

I don't normally do blog challenges, but I got pinged by ~hyde with the call, so here goes: Why did you start blogging in the first place? I don't remember a specific thing that got me started. My first post talked about students and learning and technology, so it was probably something I heard during a professional development at school. This was my first year teaching and the school was …

Last year I wrote that I wanted to be able to do one pull up. This year, I just want the year to progress uneventfully. I first started using the word “uneventful” when my traditional chinese medicine physician asked if I had any symptoms between my visits: there were rare times when I would tell her I didn’t have any symptoms in the couple of weeks since I last saw …