cosecantphi [he/him, they/them]

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.

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 by its decimal form:

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.

One way it could make sense is if the Adjuster initially intended to lay low and move on, but once he saw how positive the social media reception was he decided he’d take credit for it and try his luck convincing one of twelve jurors to nullify.

It sucks to realize in hindsight, but if Bernie had won the 2016 primary he would have been thoroughly ratfucked as a matter of bipartisan consensus. The Democrats would have sabotaged his national campaign at every step, probably even going as far as to have a few high profile Democrats endorse a third party candidate to make sure Bernie loses.

The reason you need to slow down is because you’re starting on Earth, which means you’re moving fast enough parallel to the sun’s surface that for every foot you fall downwards toward the sun, the sun’s surface curves away by 1 foot. This results in the nearly circular orbit around the sun we exist in.

If you start speeding up, the orbit becomes more elliptical, except your aphelion starts raising away from the sun because now you’re moving fast enough that you’ve moved more than 1 foot sideways in the time you’ve fallen 1 foot downwards.

Slowing down has the opposite effect. If you get your speed down to 0, you’ll fall straight down toward the sun as normal with gravity. But you don’t need to go all the way down to 0 velocity to enter the sun, you just need to slow down until your elliptical orbit brushes up against the sun’s surface. If you then want to speed back up to avoid falling into the sun, you need to do it parallel to the sun’s surface. At this point, speeding up toward the sun will actually make you fall into the sun faster.

So basically the problem isn’t that you’re moving too fast to fall into the sun. By virtue of Earth’s orbit, you’re moving too fast in a direction away from hitting the sun’s surface.

Actually childish understanding of geopolitics and history

Ukraine hasn’t even been independent for my entire life, what are you talking about? Do you think thirty years is a long time? Are you twelve?

This is the thing that gets me with lemmy libs at times. I want to dunk on them harder, but some of them are so naive and ignorant about basic facts of recent history that in the back of my mind I can’t help but think I’m probably talking to an actual, literal child. Then I just feel saddened about it more than anything.

I’m sorry but your reply is literally incoherent, and I’m not sure what if anything in my comment caused your brain wormed mind to react like this.

Liberal solipsism strikes again

At what point did this become Russia’s aggression? Certainly after the fall of the Soviet Union by western backed coup (before which Ukraine and Russia were literally the same country). Did Russia’s aggression start when NATO aggressively expanded into the former Eastern bloc after promising not to as a major condition of the USSR’s dissolution? How about when Russia subjected its own population to devastating austerity, resulting in untold death and destruction, all in a genuine effort to liberalize and assimilate into NATO themselves? Was that Russia being too aggressive? Or did Russia’s aggression not start until after the west continued to wage economic warfare anyway, demonstrating NATO never had any intention to let Russia coexist peacefully on the world stage regardless? How aggressive was it of Russia when the west helped to orchestrate the 2014 Maidan coup in Ukraine to install a rabidly anti-Russian fascist government on one of Russia’s largest land borders? I guess Russia was being too aggressive when Ukraine decided to ban the Russian language and shell Russian speaking civilians in Eastern Ukraine for literally years and years in violation of the Minsk agreements, resulting in massive pro-Russian separatist movements forming to fight off Banderite pogroms.

I think I get it now, after exhausting literally all available diplomatic avenues to peace, aggressive Russia started this conflict out of nowhere by supporting the cause of the breakaway republics invading poor innocent Ukraine, wow can’t believe a country would go to war like this at the drop of a hat! Irrational aggressive Russia should just take their troops home and surrender all territory back to Ukraine, a country losing a war so badly it’s on the verge of collapse.

Maybe don’t go around making inflammatory geopolitical comments in public if you only just started paying attention to this conflict in 2022

I found some under the couch cushions!

Understanding classical waves better is what helped me wrap my mind around the physical meaning of the uncertainty principle. It’s not a technical limitation, and it’s not just because you need to interact with something to measure it. It’s just a property of waves. Since small enough particles exhibit the properties of waves, it only makes sense that we can’t know their location and momentum at the same time with arbitrary precision.

The velocity of a wave is a function of its frequency and wavelength. But imagine a highly localized wave, essentially just a peak. What’s its frequency? Well, we find that it doesn’t have one frequency! If you decompose the wave, you find its mathematically a superposition of multiple sine or cosine functions with different frequencies and therefore velocities. So the more localized the wave is, i.e the more you know its position, the less and less you know about its frequency and therefore velocity.

This stuff blew my mind when it was first explained to me.

The thing about elemental mercury though is that it doesn’t wet things like water or other liquid metals like Gallium do. The surface tension is so strong that virtually none of it is going to end up staying on your tongue

Tbh, I think I’d much prefer to try my luck licking Mercury rather than Uranium