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cosecantphi [he/him, they/them]

@ cosecantphi @hexbear.net

Posts
40
Comments
346
Joined
6 yr. ago

  • Russia's border with Ukraine is its most vulnerable land border, and Ukraine in NATO means a hostile military alliance with direct access to said border with the ability to militarize it with nuclear capable cruise missiles: https://www.eurasiantimes.com/analysis-us-withdrawal-from-anti-ballistic-missile-treaty-continues-to-haunt-world-20-years-later/

    This was not a revanchist land grab nor was it resource motivated, the regions Russia annexed were for the most part already in a several years long civil war against the post Maidan coup government which was carrying out a campaign to ethnically cleanse eastern Ukraine of Russian speakers. By 2022 Ukraine had broken both Minsk treaties in which it promised to cease these ethnic cleansing campaigns. https://orinocotribune.com/former-german-chancellor-merkel-admits-that-minsk-peace-agreements-were-part-of-scheme-for-ukraine-to-buy-time-to-prepare-for-war-with-russia/

    As for why the US is fickle with military support, I imagine it's because the US is very aware by now Ukraine will lose this war and simply does not see a reason to continue wasting weaponry when the war has already served its purpose in destroying Russian relations with Europe and putting a newly minted failed state on Russia's border for it to deal with in perpetuity.

  • Ukraine joining NATO has been Russia's clearly stated red line for decades, guarantees for the non-expansion of NATO into the former Eastern Bloc, Ukraine chief among them, was even a major condition for the Soviet Union to agree to dissolve. Then NATO and the US organized the Maidan coup, and Ukraine started ethnically cleansing Eastern Ukraine of Russian speakers to the point that Ukraine was in a civil war with the breakaway republics.

    Russia tried to deal with this diplomatically for many years through every channel at their disposal, but as it turned out NATO, the US, and Ukraine were negotiating entirely in bad faith to give Ukraine time to militarize. This war was several decades in the making and Russia was not at all the aggressor, even if they severely miscalculated what the cost of the war would be.

  • Honestly, if you have someone you trust to tripsit for you, then shrooms might not be a bad idea as a supplement to actual counseling.

    For me personally, psychedelics have been perfect for this sort of thing. They turn your default mode network to soup for a few hours. In my own experience, this results in honest and useful introspection because it enables you to think about things from perspectives you've previously trained your sober mind to never give fair consideration to.

  • hell is fucking empty and all the devils are in Israel

  • I can't help but wonder whether this guy has just been a cynical liar from the start, if all the Democratic operatives running his general election campaign are just exceptionally good at performing rapid brainworm installations, or if the CIA simply took him into a room and explained what they'd do to him and his family if he doesn't toe the line.

    That last one is particularly scary because I had the same thought when Bernie actually somehow got worse on Palestine than he was during his 2020 campaign. That was despite him having no intention of running for president again and also having the safest senate seat in this country. What was he afraid of?

    Like maybe every left leaning politician in this country receives credible death threats from the CIA as par for the course on certain matters of foreign policy.

  • Dots!

    Jump
  • nah, this is just the appetizer to a big bowl of pasta made out of antimatter.

  • You're very welcome! I'm slowly teaching myself what is essentially a mathematics undergrad degree, and I'm familiar with the book you're using, so if you ever have any other questions feel free to ask!

    Word of advice: In most math books, especially at lower levels, the majority of the exercises will nearly always be some sort of direct application of the theorems and proofs in the preceding chapter of instruction.

    So when you feel stuck, you should go back to those theorems and try to make sure you really understand what the proof is saying. Like try to be skeptical about the statements and examine them until you are fully convinced that the proof is ironclad. Then it'll be much easier to spot which theorems each exercise is meant to provide elaboration/nuance on, especially the earlier exercises in a chapter.

    The later exercises in a chapter tend to be much more difficult, but you'll nearly always be able to prove them with the theorems you've already learned, it's just that the harder ones will be essentially foreshadowing theorems in future chapters. So the longer you stick with this, deeply examining every theorem and attempting every exercise, the easier it becomes as you begin to understand the pedagogical intent of the author.

  • Take a closer look at the proof and conditions of conjecture 2 in chapter 1. It states that if you have a positive integer n that isn't prime (i.e it is n=ab for positive integers a and b both less than n, then the integer given by (2n)-1 = (2ab) - 1 is not prime either.

    But the proof itself for that conjecture gives you a means of computing integer factors x and y of any such number where n is not prime. It uses the telescoping property of sums to prove in general under these conditions that:

    (2n) - 1 = ( (2b) -1 ) * y

    That is, one of the two factors you are looking for takes the form x = (2^b) - 1.

    So let's use this to solve part (a) as an example. (2^15) -1 = 32767 is not prime according to conjecture 2 because 15=3*5, a product of positive integers less than n=15 . Now plug it into the equation with a = 3 and b = 5:

    ( ( 23*5 ) - 1 ) = ( (25) - 1 ) * y

    Now you just solve for y:

    y = ( ( 23*5 ) - 1 ) / ( ( 25 )- 1 ) = 1057

    And we already had x = (2^5) -1 = 31

    We may now easily confirm the result by multiplying: 1057 * 31 = 32767.

    To apply this to part b, all that remains is to repeat the process with a = 31 and b = 1057.

  • No, I read what you wrote. I am upset about exactly what you wrote. I want you to listen to trans people and their experience. I want you to realize your experience as a cis person makes your opinions irrelevant on the matter and if you want to be a good ally you need to purge transphobia from the spaces you moderate.

  • Why should we engage in good faith on your "ideas" of wanting to fucking murder us with your bigotry? Unironically, the world would be better off without you.

  • Yeah like wtf is this lmao, apparently "war crime" is now when bad country does bad thing

  • It honestly sounds a lot like Hexbear. Made a rednote account today, but I've never used tiktok or instagram before, so the entire thing was kinda inscrutable for me lol, but I'm so glad that this is where the tiktok exodus is heading.

  • Right and the point of defining this number as a non-repeating infinite sequence of 0s and 1s is just to show that non-repetition of digits alone is not sufficient to say a number contains all finite sequences.

  • Math kind of relies on assumptions, you really can't get anywhere in math without an assumption at the beginning of your thought process.

  • That's a decimal approximation of Pi with an ellipsis at the end to indicate its an approximation, not a definition. The way the ellipsis is used above is different. It's being used to define a number via the decimal expansion by saying it's an infinite sum of negative powers of 10 defined by the pattern before the ellipsis.

    So we have:

    0.101001000100001000001 . . . = 10-1 + 10-2 + 10-3 + 10-4 +10^-5+ . . .

    Pi, however, is not defined this way. Pi can be defined as twice the solution of the integral from -1 to 1 of the square root of (1-x^2), a function defining a unit semi-circle.

  • Implicitly defining a number via it's decimal form typically relies on their being a pattern to follow after the ellipsis. You can define a different number with twos in it, but if you put an ellipsis at the end you're implying there's a different pattern to follow for the rest of the decimal expansion, hence your number is not the same number as the one without twos in it.

  • It's implicitly defined here.

    0.101001000100001000001 . . .

    The definition of this number is that the number of 0s after each 1 is given by the total previous number of 1s in the sequence. That's why it can't contain 2 despite being infinite and non-repeating.

  • Chapotraphouse @hexbear.net

    How will they convict Luigi?

  • Yeah to put it into perspective, she was coming in behind Andrew Yang in her home state of California where she was the sitting senator.

    For a moment I felt I had underestimated her when she started garnering wider support after picking the least ghoulish ghoul to be her VP, but now it's clear she's increasingly cooked the more people get to know her whereas Trump is a known quantity.

  • Chapotraphouse @hexbear.net

    Code Geass would've been a certified anti-imperialist anime classic if only it weren't obnoxiously horny

  • Chapotraphouse @hexbear.net

    God, the reddit discourse on the new dragon show is horrendous

  • Movies & TV @hexbear.net

    Thoughts on the new dragon show?

  • mutual_aid @hexbear.net

    Sorry to repost this, but once again I'm checking if any comrades could spare a few dollars so I can replace my lost wallet and state identification card

  • bloomer @hexbear.net

    Lost 20 pounds over the course of the past two months. I knew I'd feel better after losing weight, but I didn't anticipate just how much better.

  • mutual_aid @hexbear.net

    Could anyone here spare 15 to 30 dollars? Need to get my bank account out of overdraft again and go grocery shopping later today.

  • mutual_aid @hexbear.net

    Managed to overdraft my bank account again, this time with a maintenance fee. If any one here could spare some dollars so I can get groceries later I'd really appreciate it!

  • Chapotraphouse @hexbear.net

    My mom called the cops on me for using cannabis yesterday. We live in a legal state.

  • Chapotraphouse @hexbear.net

    Is it possible subjective experience is actually the default state of existence and not correlated to the body, mind, consciousness, or life at all?

  • mutual_aid @hexbear.net

    Sorry to be back so soon but I need $15 to pay off a bank overdraft if anyone has any spare dollars right now

  • mutual_aid @hexbear.net

    I could use some help paying for groceries for the week again, and also for some dinner tonight if anyone could spare a few dollars.

  • technology @hexbear.net

    Dead laptop HDDs make cute little hand mirrors once you take them apart

  • Chapotraphouse @hexbear.net

    Will inability of the US federal government to enforce drug laws be one of the more immediate positive domestic impacts of slowly ongoing balkanization?

  • askchapo @hexbear.net

    How would human society actually react to the discovery of a very large incoming asteroid?

  • Chapotraphouse @hexbear.net

    Got fucking ghosted by my employer two months into a new job

  • videos @hexbear.net

    Watch live as Shenzhou 18 carries three taikonauts to China's Tiangong space station at 8:59AM ET today

  • the_dunk_tank @hexbear.net

    Holy shit, lemmitor's annoying liberal self righteousness is off the charts

  • Chapotraphouse @hexbear.net

    If you're going to die soon with no valuable assets, could you max out all your credit cards, buy a bunch of gold, and bury it somewhere for your family to discreetly collect it a few years later?