— 1. The Hardy-Littlewood maximal inequality — We work in Euclidean space with Lebesgue measure; we write instead of for the Lebesgue measure of a set . For any and let denote the open ball of radius centred at . Thus for instance . For any , we use to denote the dilate of around its centre by . For any , we define the averaging operators on for any locally integrable by It is not hard to see that these averages are well-defined, and are even continuous functions, for locally integrable . One…

Starting at noon Eastern, I’ll be live-streaming from the St. Jude campus with five of my favorite people in the world, raising money for one of the most incredible places in the world. I expect we will hit our campaign goal while on the air, which is going to be magical. Tune in!

Rocket from the Tombs - The Village Underground, New York City, June 7, 2003 / Cafe Nine, New Haven, Connecticut, July 28, 2006So long to punk legend Cheetah Chrome (AKA Gene O'Connor), the Rocket from the Tombs / Dead Boys guitarist / co-founder. I only had one chance to see Mr. Chrome, but it sticks with me — the reformed RFTT at TT the Bear’s during a hellacious snowstorm in late 2003. It all felt very unlikely. This was a band that had never released a proper album, didn’t play outside the…

From Japan, 1941: Countdown to Infamy, by Eri Hotta (Vintage, 2013), pp. 20-21, 24: In the early-morning hours of a frosty day, December 8, 1941, the Japanese nation woke to astonishing news. It was announced, shortly after seven, that Japan had “entered into a situation of war with the United States and Britain in the Western Pacific before dawn.” Though no specifics were given, by then the U.S. naval base at Pearl Harbor, on Oahu, had been successfully attacked—the first wave of planes was…

Social media is where you’ll find the most sublimely interesting and entertaining people in the world. Right next to them are people with so many bad takes and shallow enthusiasms. Of course, all the clankers, some masquerading as human and some transparent in their toaster-ness. You may think it’s where your people are, but the whole point is to mix your people with the Havers of Takes and the Obviously Artificial. And the advertisements and Calls To Action. You’ll come across your people…

Lytham Lytham II Lytham III Lytham IV

It’s mad, all right. I’m referring to Spider Baby, or the Maddest Story Ever Told, to give its full title. How do you explain Spider Baby? I’ll try. Is there a spider in it? Um, yeah… Ok, is there a baby in it? Uh, nooo… So, what’s it about? Well, like, it’s about this, like, weird family of sort-of cannibals, living in this weird old dark house… While not evident in the title, the cannibal theme is stated in the title song, sung by Lon Chaney, Jr.—try wrapping your head around that—which ends…

October 2, 2026 I've been following the recent AI agent incidents, and I can't stop thinking about them. The trend is toward more access. Claude and ChatGPT are both building computer control into their desktop apps, so the AI can work with files, the browser, and the rest of the machine. The web versions don't have that same direct access to my Mac. Claude and ChatGPT can still do plenty in the cloud, and I can still upload a file when I want them to see it, but they aren't sitting on my…

I am looking for new clients to work alongside. I am a video and podcast editor, writer, and thumbnail designer. I have over 15 years of experience producing training material, videos, and content about personal improvement, personal knowledge management, math, construction, guides, and, of course, video games. Besides my own work here at Max Frequency and on my YouTube channels, I have worked with IGN, Walt Disney World, Noresco, Mike Schmitz of Practical PKM, The Ginger Mathematician, and…

There are times when you feel trapped in a relationship you want to end but cannot. You find yourself caught in a cycle of not wanting to hurt people while desperately wanting to get away from them. This behavioural pattern is easy to recognise, and people often take advantage of it. They guilt-trip you into staying, even when your presence in the relationship makes you miserable. The cycle is vicious. In game theory, there is a strategy known as burning bridges. It involves making a commitment…

Some good links on complexity Roope Kaaronen’s: The Ecology of Design. A nice introduction to path dependancy, affordances and ecological psychology. Alicia Juarrero being interviewed by Jim Hutt on her book Context Changes Everything and on how constraints create possibility landscape and constraint regimes. The Vampire Problem is a thought experiment that demonstrates why it is so hard to act in uncertainty. Maria Popova does her usual brilliant job of unpacking it. Martina Dimopoulou takes…

I finally made it down to Thames Path parkrun in Woolwich last week, an event that started out in 2023.People meet up before the start by the statues in James Clavell Square by the Woolwich waterfront, where the old Woolwich Arsenal buildings nestle alongside new build flats. The actual start is a few hundred metres east along the Thames Path and from there it sets out on a nice flat stretch along the river. What could be better on a clear, fresh day? But wait, because in the middle section the…

Yesterday a demo dropped for Castlevania: Belmont's Curse and I gave it a go. Man, I think Motion Twin has pulled it off. The movement is right for the series, anchored feet, but once you are in the air, you soar. The sword feels good, the dodge and slide are welcome. I like the magic system. I think the ability to heal is appropriate in this day and age. Don't let that lure you into a false sense of ease, the game is still tough and kicks you back to your last save, should you bite the dust. I…

Time to continue the onslaught of Kpop Demon Hunters licensed Nongshim stuff. This is the version those in South Korea will find. Let’s give it a try. Nongshim Shin Ramyun Mira Spicy Queen – South Korea Detail of the side panels (click to enlarge). Unsure whether is contains meat – check for yourself. To prepare, add in sachet contents and fill to line with boiling water. Cover 3 minutes. Finally, stir and enjoy! Detail of the lid (click to enlarge). An instant noodle block. A sachet of soup…

According to James Cridland of Podnews, humans used to curate what you see in the "Home" and "New" sections in Apple's Podcast app, based on the geographical region you are in. Canadian podcasts are highlighted to Canadians, Australian podcasts are highlighted to Australias. You get the point. However, that is no longer the case. Instead, it seems that algorithms had taken over the jobs of human, and "it's all global now." James Cridland, Podnews: Apple Podcasts has always had an impressive set…

This post concerns the appendix (in its standalone version, written by me) to Lena Ji and Fumiaki Suzuki's paper on motivic classes of Fano schemes of lines. A few years ago we wrote a paper on decompositions of Fano schemes of linear subspaces on intersections of two quadrics. For $g\ge 2$ and $0\le k\le g-2$, consider a smooth intersection $Q_1\cap Q_2\subset\mathbb{P}^{2g+1}$ with associated hyperelliptic curve $C$. One of our conjectures predicts the following identity in…

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Today marks the 20th anniversary of this here weblog, which means I’ve officially been blogging for more than half of my life. Whether I’m in your RSS feed or just a random post you stumbled upon, thank you for reading! October 2, 2006, does feel like a whole lifetime ago. The Dow Jones hit a record high of 11,850, Justin Timberlake’s “SexyBack” topped the Billboard Hot 100, and the Martin Lawrence animated film Open Season was #1 at the box office. Heady times. I’ve reminisced before about my…

my humble self is always trying.

Taylor Swift made a pretty decent spy-ish movie with her video for I Can See You back in 2023. In it, Joey King and Taylor Lautner break into some compound to free a captive Swift while Presley Cash handles electronics back in the van.Supposedly the story is a metaphor for how Swift “rescued” her master recordings from Scooter Braun. King and Cash had appeared in another one of Swift’s videos, back in 2010. Swift and Lautner dated briefly.Here it is on YouTube.

നീണ്ട നീലാകാശം കണക്കെയാണ് മനുഷ്യമനസ്സ്. നിലയില്ലാക്കയം പോലെയതിൻ്റെ മറുപുറങ്ങളിൽ മൗനവിഷാദത്തിൻ്റെ മുറിപ്പാടുകൾ തെളിഞ്ഞ് നിൽപ്പുണ്ട്. കാലത്തിന് മായ്ക്കാൻ കഴിയാത്ത ഈ മുറിപ്പാടുകൾക്ക് മരുന്നു തേടിയുള്ള യാത്രയിലാണിന്നും മനുഷ്യൻ. വെൺമേഘങ്ങൾ കണക്കെ അവസാനമില്ലാത്ത സഞ്ചാരങ്ങൾ.

🧱 I’m Mete, a product designer and builder with 10+ years of experience at companies like Netflix and Peloton. I build real products with AI to see how far the tools can go, then share what works, what breaks, and where craft still matters. I write for people who sweat the details and refuse to settle for good enough. If that sounds like you, you’re in the right place.It’s been interesting watching the rise of Muse online as someone who’s been deep in the consumer agentic product space for a…

While in Minneapolis, we decided to see whatever was on at the Guthrie theater, Minneapolis's monolithic riverside theater complex. It's an incredible building, packed with bizarre little views of the river, bike paths, and ancient industrial structures all around it, often through weird tinted windows. I really had an incredible time visiting! Here's a backstage view through a blue window: Waiting for Godot was a good watch. I'd read the play in high school but have honestly never seen it…

A close friend of mine works in pest control. During one of the jobs today, she was attacked by a swarm of wasps. Despite her full safety gear, they managed to sting her many times. It was quite a shocking experience, lying in the corner of a cramped attic without a way to escape. Luckily, it all turned out okay in the end. She got out, got medicine, and called the office to tell them to reschedule the other jobs. When she called and told me what had happened and how she handled it, I let her…

I was on a 1:1 with Emily, one of our strongest engineers, and we were mostly venting about some of the negatives about AI these days: the crazy amount of code reviews, how the job is changing, and the last one (which is the most relevant for this post), how engineers are sometimes completely removing their brains from the equation and just delegating their entire work to AI. (Btw, I heard that the cool kids are calling this a Meat Proxy.) But anyway, the reason I decided to post about this is…

AH! It is October again. My favorite time of the year. Last year, on my Fantasy Fridays, I spent some time with urban fantasy games and, in particular, with the idea of using games as a sort of life-path development for my various characters. I actually did a few characters, but I only posted one, my witch, Larina. Something very interesting happened while I was doing that. I grabbed a couple of Pathfinder characters and was doing the same experiment on them. I remember sitting in my car one…

DidYouKnowGaming posted a video in 2021 with the provocative title “The Japan Only Metroid Game That Changed The Series,” (8½ minutes) and as is usually the case with clickbait titles like that, it’s leaving out important information: the game in question is a gamebook, not a video game at all. I don’t often like rewarding clickbait, although doing it to some extent is largely unavoidable now. Here is the video embedded, if you want to see it for yourself. The gamebook is called Metroid: Zebes…

I had been hoping to submit an application to renew my residency visa before 1 October when new fees that substantially increase the price for applications come into effect. Alas, as you might expect, everyone else also had this hope and I was unsuccessful. Specifically, what happened was that I had planned to use the Immigration Services Agency’s website to lodge my application from the comfort of my very own home (I have not forgotten what happened last time). I had been organised enough to…

Gaby Del Valle for The Verge: Madison, a server in New York City, greets every table by asking about each diner’s allergies. Lately, there have been some close calls. “Sometimes people will tell me they have a shellfish allergy, and I’ll come back, and they won’t ask me any questions,” says Madison, who asked that her last name be withheld to protect her identity. “And they’ll order a fish dish that comes with a broth that is made of shellfish.” When she tells them a dish contains an allergen,…

Dr Meltem Ineli Ciger, Associate Professor of International Law, Süleyman Demirel University Photo credit: Maksym Kozlenko, via Wikimedia Commons On 1 October 2026, the Court of Justice delivered Case C‑249/25 (Jilin), its fourth preliminary ruling on the Council Directive 2001/55/EC (Temporary Protection Directive, ‘TPD’) since the Directive was activated for people displaced from Ukraine. It follows Joined Cases C‑244/24 and C‑290/24 Kaduna (19 December 2024), Case C‑753/23 Krasiliva (27…