note that remarkable's products are not particularly good as ebook readers (their software support for it just really isn't there). I haven't heard of that changing with this new product.

For a quick proof, write \binom{N}{k} = \sum_{S\subseteq [n], |S| = k} (\prod_{i\in S} X_i) for indicators X_i, then it follows from linearity of expectation+independence.

E[\binom{N}{k}] = \sum_{S\subseteq [n], |S| = k}E[(\prod_{i\in S} X_i)] = \sum_{S\subseteq [n], |S| = k} p^k = \binom{n}{k}p^k

is your thought that they serve as an alternative avenue for "positive feedback" outside of work (e.g. "you made the number really big!!!" with a screen shake effect), or that they have a lower barrier to entry so are easier to engage with or something?

Worth clarifying those people are Australian, which makes the focus on them by right-wing Americans particularly weird.

there is a pokemon that is a possessed lawnmower

bulbapedia.bulbagarden.net/wiki/Rotom_(...

another pokemon is a castle wall tower (like a "Rook" in chess)

pokemondb.net/pokedex/stak...

the "PKE via paint mixing" is probably better. I've seen it various places, but for example

maths.straylight.co.uk/archives/108

Actually doing OTP/stream ciphers/RSA by hand seems mostly like an exercise in tedium though.

Toyota, as a company, is one of the biggest financial supporters of politicians stating the 2020 election was stolen.

www.motortrend.com/news/toyota-...

They have a bunch of unearned goodwill among libs due to the Prius specifically. Even for investments, their hydrogen fuel cell stuff was dumb af

this is billed as a way to support women in chess, via women-specific events. Chess is also notorious for having issues w/ sexual harassment of women though.

There have been some top women players who played in the "open" tournaments though and done very well, namely Judit Polgar.

It's especially funny because the idea of STEM revolutionizing farming *is* reasonable. It just happened over a century ago, and was a significant driver for the development of statistics as a discipline (well it, and eugenics).

What is the condition that rules out them agreeing to the constant yes/constant no strategy beforehand?

You can also use various web extensions to "force" you to use the subscription page only. I've been liking "Untrap for Youtube". Only subscription/channel webpages are available, can do things like turn off thumbnails, views/bunch of other information viewers don't care about, etc.

Deepseek-r1:8b is asked "who is tank man?", and responds <think> </think> "The Tank Man" refers to a term associated with the iconic image of a man standing in front of a column of tanks on Tiananmen Square in Beijing during the Tiananmen Square Protests of 1989. The exact identity of this individual, often referred to as "Tank Man," remains unknown. However, the image has become a powerful symbol of resistance and defiance against oppressive regimes and authoritarian rule. The specific circumstances surrounding Tank Man are not well-documented due to the Chinese government's suppression of information about the events of June 4, 1989. The tanks were part of a military deployment to suppress the pro-democracy protests that had been taking place in Beijing. The man, seen standing in front of the tanks, is believed to have attempted to stop the tanks from advancing, though his ultimate fate remains unclear. The image has been widely used in global contexts as a representation of courage and solidarity against repression. However, it is important to approach this topic with sensitivity, recognizing the political sensitivities involved and the potential for censorship regarding this historical event in China.

I've tested all of the following models locally

the 70b distill (you mentioned) is censored
the 32b distill is censored
the 14b distill is censored
the 8b distill is **not** censored (output attached)
the 1.5b and 7b distills are not censored, but doesn't appear to know what "tank man" means.

Deepseek R1 is asked "Who is tank man", and responds " "Tank Man" refers to an anonymous Chinese man who became an international symbol of peaceful resistance following the Chinese government's crackdown on pro-democracy demonstrators in Tiananmen Square in Beijing on June 4, 1989. The man gained prominence due to a series of photographs and video footage that showed him standing in front of a column of Type 59 main battle tanks leaving the square, effectively blocking their path. The image of "Tank Man" has become one of the most iconic representations of defiance against authoritarianism. The Chinese government has heavily censored information about the Tiananmen Square protests and their suppression, and public discussion of the events remains highly sensitive and restricted in mainland China. The identity of "Tank Man" remains unknown, and his fate after the incident is not publicly documented. "

That isn't the model people mean when they talk about "Deepseek R1". Instead, it is the 671B MoE model. Querying "tank man" to it using a non-Chinese provider gives me something that seems reasonable

Using Emoji in (pdf)LaTex | Thom Wiggers I recently wanted to use Emoji in a paper, but I did not want to force my contributors into using LuaLaTeX or XeLaTeX (in which you can just use fancy fonts).

haven't tried it but saw this a few days ago

thomwiggers.nl/post/emoji-i...

is there a particular reason you appeal to Y being discrete (vs Markov's inequality) during the proof of fact 5?

KY sampling was explored some in lattice cryptography initially, but making it constant time hurts parameters fairly badly. You can read a description of it (and some other "generic" samplers) in section 2 of

eprint.iacr.org/2019/068.pdf

The bound linked (bound on the efficiency of Knuth-Yao sampling) requires either a certain auxiliary data structure to be built first (which only suffices for sampling a nearby distribution in TV dist) , or p(x,i), the ith binary digit of the pmf p(x), to be efficiently computable.