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284
Joined
2 yr. ago

  • Am I going crazy? One toothbrush for every person. I'm a monogamuggle, and I don't even share a toothbrush regularly with my wife. If you insist on the counter being tidy, put them in a drawer. Also prevents aerosolized fecal matter from getting on the toothbrush head.

  • That's a deep cut reference. 👏

  • Our right to speak out was core to our merger deal 25 years ago, but now it’s being silenced. Same execs, same censorship, new name and logo.

    From the article. Sometimes a buy out comes with conditions and obligations.

  • "Socialism is when the government does stuff, and the more stuff it does the more socialister it is."

    -Carlos Marks

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  • I have a framework. I'm not aware of any others though. But I do remember that physical wifi switches were common on HPs back about 15-20 years ago.

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  • Get a laptop with hardware switches for the camera and microphone, tbh

  • The way that arsonist was able to melt the weird pointy top into something more appealing was really a thing of beauty.

    Bouba > Kiki

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  • Oh! My bad! I completely missed that the functions were continuous (it isn't required for 🍊 to be a metric)

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  • Careful ⚠️ there is not guaranteed to be an element such that |🍎(x) - 🍇(x)| is maximized. Consider 🍎 (x) = x if x < 3, 0 otherwise. Let 🍇 (x) = 0, and let the domain be [0, 4]. Clearly, the sup(|🍎 (x) - 🍇 (x)| : x ∈ [0, 4]) = 3, but there is no concrete value of x that will return this result. If you wish to demonstrate this in this manner, you will need to introduce an 🐘 > 0 and do some pedantic limit work.

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  • Anyway, to prove this is a metric we must prove that it satisfies the 4 laws of metrics.

    1 The distance from a point to itself is zero. 🍊 (🍎, 🍎) = 0

    This can be accomplished by simply observing that |🍎 (x) - 🍎 (x)| = 0 ∀x ∈ [a,b], so its sup = 0.

    2 The distance between any two distinct points is non-negative.

    If 🍎 ≠ 🍌, then ∃x ∈ [a,b] such that 🍎 (x) ≠ 🍌 (x). Thus for this point |🍎 (x) - 🍌 (x)| > 0 and the sup > 0.

    3 🍊 (🍎, 🍌) = 🍊 (🍌, 🍎) ∀(🍎, 🍌) in our space of functions.

    Again, we must simply apply the definition of 🍊 observing that ∀x ∈ [a,b] |🍎 (x) - 🍌 (x)| = |🍌 (x) - 🍎 (x)|, and the sup of two equal sets is equal.

    4 Triangle inequality, for any triple of functions (🍎, 🍌, 🍇), 🍊 (🍎, 🍌) + 🍊 (🍌, 🍇) ≥ 🍊 (🍎, 🍇)

    For any (🐁, 🐈, 🐕) ∈ ℝ³ it is well known that |🐁 - 🐕| ≤ |🐁 - 🐈| + |🐈 - 🐕|, (triangle inequality of absolute values).

    Further, for any two functions 🍍, 🍑 we have sup({🍍 (x) : x ∈ [a, b]}) + sup({🍑 (x) : x ∈ [a, b]}) ≥ sup({🍍 (x) + 🍑 (x) : x ∈ [a, b]})

    Letting 🍍 (x) = |🍎 (x) - 🍌 (x)|, and 🍑 (x) = |🍌 (x) - 🍇 (x)|, we have the following chain of implications:

    🍊 (🍎, 🍌) + 🍊 (🍌, 🍇) = sup({🍍 (x) : x ∈ [a, b]}) + sup({🍑 (x) : x ∈ [a, b]}) ≥ sup({🍍 (x) + 🍑 (x) : x ∈ [a, b]}) ≥ sup({|🍎 (x) - 🍇 (x)| : x ∈ [a, b]}) = 🍊 (🍎, 🍇)

    Taking the far left and far right side of this chain we have our triangles inequality that we seek.

    Because 🍊 satisfies all four requirements it is a metric. QED.

    QED stands for 👸⚡💎, naturally

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  • What happened to 🍇 and 🍍?

  • but can I say he's wrong? I don't know.

    Not a cult. Not a cult. Not a cult. Not a cult.

  • Anakin brought balance to the force by slaughtering all of the Jedi.

    Before, thousands of Jedi, like 4(?) sith.

    After, 2 Jedi, 2 sith. Perfectly balanced.

  • Gmail data gets used in LLM training. I wonder how Gemini 2.5 would auto complete "The code to the nuclear football is"...

  • Johnny Mnemonic

  • Having played all of the 2d Metroids, Super Metroid still holds up very well, even compared to the newer games. There's less direction than what you might be used to though. Newer entries in the series tend to try to funnel you places. But if you are simply concerned about the gameplay being clunky, don't be.

    Super Metroid way ahead of its time, and the controls are extremely responsive and tight. It's one of the reasons it's such a popular speed game. It's just fun to play. While basic controls are serviceable, there are many tricks you find yourself learning about as you play the game, which you just have access to, that give the movement system quite a bit of depth. (For hints, let the attract move run at the beginning of the game.)

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  • Why is "gives free tech support," an expectation of being a good person? I spent 7 years of my life doing tech support professionally.

    a) I never want to do it again, because honestly fuck computers, but b) If I have to, I'm certainly not going to do it unless I already like you or you are paying me.

    Figure your own shit out. I have a life to live and I don't have infinite free time and energy to help you unfuck whatever stupid bullshit happened to your computer. Especially if you're being entitled about it.

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    Do Users Write More Insecure Code with AI Assistants? (arxiv paper)

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    Arxiv Preprint: Othello is solved

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    Companies That Union-Bust Must Now Automatically Recognize Union, NLRB Rules

    Beehaw Support @beehaw.org

    Please add a redirect from the www. subdomain 🐝

    Science @beehaw.org

    New type of gravitational waves detected, Dr Becky video

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    “Go Fly Yourself”: Marketing ‘Sex’ and the Great Stewardess Rebellion - Citations Needed interview