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Let be a non-empty finite set. If is a random variable taking values in , the Shannon entropy of is defined as There is a nice variational formula that lets one compute logs of sums of exponentials in terms of this entropy: Lemma 1 (Gibbs variational formula) Let be a function. Then Proof: Note that shifting by a constant affects both sides of (1) the same way, so we may …

I found myself wanting to host a private website that I could reliably update, but only serve it to users on my tailnet. I didn't find anything obvious that could do the job, but I did realize that between the existence of s3fs, tsnet, and the batteries that come with Go, I could probably bodge together something that does the job for me. This is it: offbyone/tailscale-s3-proxy. It's not complicated, …

By R.P. Davis Kabouter Games OSR Level 3? In a foggy valley high on the knees of The Spine, a ruined castle sleeps half-buried in rancid mud. A fabulous fortune awaits bold adventurers — if they can survive long enough to keep it! This 36 page adventure details a dungeon with six rooms in three pages. Of generic garbage. No real design. Abstracted descriptions and much hand waving. And, someone, …

To present a piece of creative work to the world is to throw away a piece of yourself. Once it has been seen, it no longer belongs to you, for you have granted the world license to rip it apart, chew it up and spit it out, before either dousing it in milk and honey to revel and devour, or in gasoline to set it alight. Because that piece of …

Want to become a more resilient, adaptable, effective leader? Nurture a growth mindset! Here are five tips to get you started.What makes a growth mindset so desirable in modern leaders?People with a growth mindset see every event as an opportunity to learn and grow, even when things don’t go as planned. They’re more resilient, more adaptable, more self-confident, and more effective at guiding others.Moving from Comfort Zone to Learning ZonePracticing …

The pandemic changed office culture irrevocably. With hybrid working now fully instilled, this has impacted not only companies’ organisational structures, but their physical infrastructure as well. (Photo by Monkey Business Images/Shutterstock) Building design now needs to accommodate ebbs and flows in capacity – according to research from the insurance broking firm Gallagher, 63% of UK business leaders are changing office space due to a shift in ways of working, with …

In 2017, We proudly announced that SS Robin was returning home but things did not quite work out that way because of various issues. However, we can bring the news that the move from the Royal Docks to Trinity Buoy Wharf will eventually bring SS Robin home to the Orchard Yard on the River Lea where she was built by Mackenzie, MacAlpine & Co in 1890. SS Robin is the …

The tick-tock of time trips on and here we are again, old friends. Said the Gramophone. Best songs. By now I hope you know the drill. This world needs some kindnesses--it wants more peace, liberation, and music shared between strangers. So here's a pistachio, a ripe pear. Here are my 100 favourite songs of the year 2023; songs I love much more than doomed submarines (or basketball). Earlier this year, …

I haven't actually played it yet, but I've seen the videos, read the rules, and it looks fun. Not only that, but I already have a sizeable collection of painted samurai to use!The only problem is that Senjutsu is in 30mm and I have 40mm. No worries, I'll build my own terrain!The battle board was mapped out using isometric graph paper to set the grid, then it was cut out …

Here, from the Lyttelton Times, a New Zealand newspaper of 1911, is yet another proof of the strange side-effects of Rudyard Kipling’s immense celebrity:

Mick Cummins, the Melbourne based former social worker and screenwriter, who won the unpublished manuscript award in the 2023 Victorian Premiers Literary Awards, has had his debut work, So Close to Home, published by Affirm Press. The manuscript was originally titled One Divine Night. Cummins said a number of publishers contacted him after winning the unpublished manuscript prize earlier this year.

My interview with actress Beverly Washburn! and… From Glamour to Trauma: Deconstructing the Myth of Hag Cinema! This is your EverLovin Joey sayin’ See ya at the Snack Bar! The post Coming up at The Last Drive In! appeared first on The Last Drive In.

The iphone view of the pool. The two conical shapes on the horizon are the Bass Rock island on the left and North Berwick Law on the southern shore of the estuary. Both are volcanic plugs. The rounded one in the centre is, I think, Traprain Law in East Lothian.Yes, straight from the "Don't do as I do, do as I say" department of the Online Darkroom comes a tale …

The trailer for Grand Theft Auto 6, maybe the most-anticipated video game in history, leaked on social media last night. It looks pretty goddamn rad. The game returns to Vice City, a fictional town based heavily on Miami, and the trailer is set firmly in the nutso world of South Florida. Plus, there are a TON of birds.Watched GTA VI trailer 10 times now.World looks beautiful and just cant wait …

Tense, emotional climate science-fiction that doesn’t quite come together by Kevin Fox, Jr. This piece was written during the 2023 SAG-AFTRA strike. Without the labor of the actors currently on strike, the film being covered here wouldn’t exist. Foe is a psychological thriller that relies on one of speculative fiction’s most familiar anxieties: humanity being replaced. The film is climate fiction, taking place in a world that’s finally experiencing the …