The even harder problem that doesn’t appear to have any physics to support it is carrying around whatever structure you’re proposing and making sure that it doesn’t destroy the ship or itself while you do so.
We don’t have to imagine force fields or any other MCU-tech, what if you had a way to disable all those weapons before they could even be launched at you? Or even in flight?
EMP exist now, and humans can shoot missiles out of the air - it’s perfectly imaginable that Aliens could think about our explosion delivery systems as being slow and vulnerable as fuck.
There was lots of stories about aliens doing exactly this when I was interested in the topic a decade ago or something. I don’t know how much of that is possible to find on today’s web since it’s all censored and removed now.
Alien tech is much more advanced than what we have here. But I think it’s clear that they are not like humans in the way that they build weapons and measure their status that way. They won’t use technology against us unless they absolutely have to, in self defense.
The upside to that is that humans could and probably would just sneak nukes onboard their ships and set them off on the inside if they did try to invade, a tactic for which they’d have no real defense.
Any civilization that had those things, even rudimentary Trinity Test ones, are on a whole different playing field than any that came before by virtue of the nature of nukes, so it is reasonable that aliens would investigate nuclear powers first.
It was between 2010-2014 and i was recently gifted my first phone. A used Sony Ericsson w300i. Fast forward a few weeks later, i was on the roof playing with the filters on the phone camera. One of them was a Sepia filter and as i tried it, i randomly pointed it toward the sky and then toward the sun. That’s when i saw a small dark object hovering near the very bright sun as to hide using it. It was shaped like a sphere and seemed very far up in the sky. It was very fast, it’s movement unnatural as it was doing oval shaped circles around the sun.
But in all seriousness, me and a friend of mine once saw a flying object that matches your description, except it was around 4am and we were on the beach, camping. At some point, it flew into the horizon (really freaking fast, headed to a different country, so I doubt it was a drone). No drugs were involved.
When I was a teen I was outside with my step-brother playing catch late at night in the street and we saw one. Never talked about because we felt like idiots. I still do.
I like the “no drugs involved” part. We’re describing something we saw with our own eyes and yet is so outlandish we can only accept that people wouldn’t believe us.
I am not judging you and when I was a kid, I too saw some shit. Many people have, it’s very common. What’s up for debate is whether it’s aliens or not, is all.
I’ll give kind of the opposite story. An Illinois town’s PD has made the news at least twice for chasing a UFO. In the 80s they were on some TV special about unexplained events, talking about the time they chased a triangular-shaped UFO for a long time. I remember watching that, and then going to the nearby air base for an air show, complete with a triangular-shaped stealth bomber…
Wait, so you were using an old phone that had an ancient sensor? You then pointed that ancient sensor at the sun and a dark spot showed up? Most likely at the most exposed portion of the sensor and you’re saying that was a UFO?
I knew i should’ve written UFO as in unidentified flying object and that it was a mistake using the word alien as it tends to have heavy connotation with green men and wackos. No,i don’t believe aliens are traveling light years and playing hide and seek with us. I saw some weird shit and want to understand what it was. I was told it was caused by overexposure and i answered that it happened only once and that as far as i know it should be repeatable but i didn’t.
I don’t think you’re crazy and you saw what you saw. It probably just wasn’t aliens, it was likely some astronomical phenomenon. You could’ve seen a comet or an asteroid or a planet passing over the sun, that’s what your description sounds like to me, anyway.
People think that things like cameras and radar are perfect instruments. They can be overloaded by things like pointing them at the sun, internal reflections, radar can have false signals, etc. I once thought I saw a UFO while in a car and then realized it was just an internal reflection of a light off of the glass. It looked like it was moving super fast and everything.
People will also do things like over expand compressed videos and images and then act surprised when they see compression artifacts and think they are real.
I can’t tell if this is a joke or not. I mean no reasonable person would conclude aliens from a flip phone camera using filter pointed directly at the sun with one of the worst lenses ever built for a camera in history.
I mean I laughed, so well done if that was the intent.
It actually happens with all odd numbers that don’t happen to divide 10 (which is where the base10 things comes up). But I think that it’s a matter of the origin of the 0.9999… I don’t think that 3/3 is ever actually 0.9999… but rather is just a “graphical glitch” of base 10 math. It doesn’t happen in base12 with 1/3, but 1/7 still does.
I do accept that we can just presume 0.999… can just be assumed 1 due to how common 3*(1/3) is. But I do think it throws a wrench in other parts of math if we assume it’s universally true. Just like in programming languages… primarily float math that these types of issues crop up a lot, we don’t just assume that the 3.999999… is accurate, but rather that it intended 4 from the get-go, primarily because of the limits of the space we put the number in. I have no reason to believe that this isn’t the case for our base10 numbering systems either.
Genuinely curious about this one, what function are you assuming when using the limit approach to evaluate? I presume it is f(x) = x, but then it would not have a discontinuity at 1. Or is the point that whether 0.999… = 1 or not depends on the implicit function in the context (in which case, limits wouldn’t disprove the argument but rather add nuance to it)?
Limits don’t disprove this at all. In order to prove 0.999…=1 you need to first define what 0.999… even means. You typically define this as an infinite geometric series with terms 9/10, 9/100, 9/1000 and so on (so as the infinite sum 9/10+9/100+9/1000+…). By definition this is a limit of a sequence of partial sums, each partial sum is a finite geometric sum which you would typically rewrite in a convenient formula using properties of geometric sums and take the limit (see the link).
The thing is that it follows from our definitions that 0.999… IS 1 (try and take the limit I mentioned), they are the same numbers. Not just really close, they are the same number.
What you’re saying here isn’t actually true because -0.999… and -1 are the same number. -0.9, -0.99, -0.999 and so on are not holes, but -0.999… is a hole, because it is the number -1.
You see the distinction here? Notations -0.9, -0.99, -0.999 and so on are all defined in terms of finite sums. For example -0.999 is defined in terms of the decimal expansion -(9/10+9/100+9/1000). But -0.999… is defined in terms of an infinite series.
The same sort of reasoning applies to your other decimal examples.
You take limits of functions. The first limit is the limit of a function f that, according to the diagram of the problem, approaches 1 as x goes to 1. But the second limit is the limit of a constant function that always maps elements of its domain to the value 2 (which is f(1)). You can show using the epsilon delta definition of the limit that such a limit will be equal to 2.
The notation here might be a little misleading, but the intuition for it is not so bad. Imagine the graph of your constant function 2, it’s a horizontal line at y=2.
But I think that it’s a matter of the origin of the 0.9999…
This is correct. It follows directly from the definition of the notation 0.999… that 0.999…=1.
I don’t think that 3/3 is ever actually 0.9999… but rather is just a “graphical glitch” of base 10 math. It doesn’t happen in base12 with 1/3, but 1/7 still does.
Then you are wrong. 3/3 is 1, 0.999… is 1, these are all the same numbers. Just because the notation can be confusing doesn’t make it untrue. Once you learn the actual definitions for these notations and some basic facts about sums/series and limits you can prove for yourself that what I’m saying is the case.
I do accept that we can just presume 0.999… can just be assumed 1 due to how common 3*(1/3) is.
It’s not an assumption or presumption. It is typically proved in calculus or real analysis.
But I do think it throws a wrench in other parts of math if we assume it’s universally true. Just like in programming languages… primarily float math that these types of issues crop up a lot, we don’t just assume that the 3.999999… is accurate, but rather that it intended 4 from the get-go, primarily because of the limits of the space we put the number in.
It definitely doesn’t throw a wrench into things in other parts of math (at least not in the sense of there being weird murky contradictions hiding in math due to something like this). Ieee floats just aren’t comparable. With ieee floats you always have some finite collection of bits representing some number. The arrangement is similar to how we do scientific notation, but with a few weird quirks (like offsets in the exponent for example) that make it kinda different. But there’s only finitely many different numbers that these kinds of standards can represent due to there only being finitely many bit patterns for your finite number of bits. The base 10 representation of a number does not have the same restriction on the number of digits you can use to represent numbers. When you write 0.999…, there aren’t just a lot (but finitely many) 9’s after the decimal point, there are infinitely many 9’s after the decimal point.
In a programming context, once you start using floating point math you should avoid using direct equality at all and instead work within some particular error bound specified by what kind of accuracy your problem needs. You might be able to get away with equating 4.000001 and 4 in some contexts, but in other contexts the extra accuracy of 0.0000001 might be significant. Ignoring these kinds of distinctioms have historically been the cause of many weird and subtle bugs.
I have no reason to believe that this isn’t the case for our base10 numbering systems either.
The issue here is that you don’t understand functions, limits, base expansions of numbers or what the definition of notation like 0.999… actually is.
The thing is that it follows from our definitions that 0.999… IS 1 (try and take the limit I mentioned), they are the same numbers. Not just really close, they are the same number.
You cannot use the outcome of a proof you’re validating as the evidence of the validating proof. Prove that the limits work without a presumption that 0.999… = 1. Evaluate a limit where there’s a hole in the function for 1… then prove that 0.999… also meets that hole without the initial claim that 0.999… = 1 since that’s the claim we’re testing.
The issue here is that you don’t understand functions, limits, base expansions of numbers or what the definition of notation like 0.999… actually is.
So you you tell me I don’t understand things… when you’ve not provided proof of anything other than just espousing that 0.999… = 1.
And I know how to work with floats in a programming context. It’s the programming context that tells me that there could be a case where the BASE10 notation we use simply does “fit” the proper evaluation of what 1/3 is. Since you know… Base12 does. These are things I’ve actually already discussed… and have covered. But you’re cherry picking trying to make me look dumb when instead you’ve just added nothing to the conversation.
You cannot use the outcome of a proof you’re validating as the evidence of the validating proof.
You should read what I said more closely. If you read what I actually said (literally the very first paragraph), you’ll notice I told you what the proof of 0.999…=1 is.
Let me fill in some of the details I left out for you. By definition, 0.999… IS the sum as n goes from 1 to infinity of 9/10^n. By definition this is the limit as N goes to infinity of the sum from n=1 to N of 9/10^n. The sum from n=1 to N can be evaluated (by the link in my original post) to be (9/10)(1-(1/10)^(N-1))/(1-1/10). So, from calculus we take the limit of this formula as N goes to infinity, it is (9/10)/(1-1/10), arithmetic tells us this value is 1. So, the limit of the sequence of partial sums we mentioned earlier is just 1, by definition this tells us 0.999…=1
What I’ve just outlined to you is the “infinite series and sequences argument” shown here, it is equivalent to the “rigorous proof” argument they also give.
You cannot use the outcome of a proof you’re validating as the evidence of the validating proof. Prove that the limits work without a presumption that 0.999… = 1. Evaluate a limit where there’s a hole in the function for 1… then prove that 0.999… also meets that hole without the initial claim that 0.999… = 1 since that’s the claim we’re testing.
Your whole statement here is not an issue because:
In my original comment I actually told you how the proof for 0.999…=1 works.
I just outlined the proof for you again.
I also sent you a link just now containing more explanations and proofs of this fact.
So you you tell me I don’t understand things… when you’ve not provided proof of anything other than just espousing that 0.999… = 1.
Again, the issue is you failing to see that I already told you the proof of this fact in my original post (and in the current post).
And I know how to work with floats in a programming context. It’s the programming context that tells me that there could be a case where the BASE10 notation we use simply does “fit” the proper evaluation of what 1/3 is. Since you know… Base12 does. These are things I’ve actually already discussed… and have covered.
I’m not sure if you meant to say the base 10 expansion of 1/3 does or doesn’t “fit” the “proper evaluation” of 1/3, but it does. Hint: try to apply my previous proof method to the series 3/10+3/100+3/1000+… to show this series evaluates to 1/3.
The issue that you’re getting so mystified by here is really to do with divisibility. Ieee floats are irrelevant and arguably don’t even really describe the entire set of real numbers very well to begin with.
It turns out that any rational number (i.e. a ratio of two integers) has a repeating decimal expansion no matter what base you pick (in some cases this expansion is not unique though fwiw). See here for an explanation of this. You might want to also read about Euclid’s division lemma as well.
It’s just that the way the denominator of your rational number divides the base you choose determines the sort of pattern you see when computing the base expansion (specifically whether or not the denominator divides the base tells you when the base expansion can terminate or not).
For example say we want to know the base 10 expansion of 1/2. To compute the first digit you can notice that since the base 10 expansion of 1/2 is given by 1/2=b_1/10+b_2/100+b_3/1000+… for each b_i being some integer between 0 and 9 (inclusive), that the integer part of 10(1/2), gives our first digit b_1, notice 10(1/2) is 5, so our first digit is 5. To compute our next digit consider 1/2-b_1/10=b_2/100+b_3/1000+…, this tells us the second digit of our base 10 expansion is the integer part of 100(1/2-b_1/10), but this value is just zero. If we keep repeating this process we keep getting zeroes. Notice we have a sequence of statements of the form 10(1/2), 100(1/2-b_1/10), 1000(1/2-b_1/10-b_2/100), … that we’re using to successively calculate out the actual values b_1, b_2, … and so on. Since 2 divided 10 we got b_1 to be equal to 5, which caused 100(1/2-b_1/10) to be equal to 0, so b_2 was zero, so 1000(1/2-b_1/10-b_2/100) ended up being equal to 1000(1/2-b_1/10), which is zero, so b_3 is zero and so on. The fact that 2 divides 10 causes a cascading sequence of zeroes after b_1=5 when we start actually trying to compute the digits of 1/2 in base 10.
We can try the same trick for 1/2 in base 3 now. We know our base 3 expansion of 1/2 has the form 1/2=a_1/3+a_2/9+a_3/27+… (these denominators are increasing powers of 3) where our a_i’s are integers between 0 and 2 (inclusive). So, the integer part of 3(1/2) gives us our first digit a_1, but 2 doesn’t divide 3 cleanly, so we have to use Euclid’s lemma (i.e. division) to find the integer part of a_1, notice 3=2(1)+1, so 3/2=1+1/3, so our first digit is 1. Cool, so now we need to find our next digit, similar to before we see it is the integer part of 9(1/2-a_1/3)=9(1/2-1/3)=9/6=3/2, but this is just the same problem as before, so a_2=1 as well (which is what we expect). Continuing this process leads us to a sequence of 1’s for each digit in the base 3 expansion of 1/2.
The fact that the decimal expansion for 1/2 terminates but the base 3 expansion doesn’t is due to 2 cleanly dividing 10 but not 3 in the above process. Notice also, that the general method I’ve outlined above (though not the most efficient) can be applied to any rational number and with any base that is a positive integer.
But you’re cherry picking trying to make me look dumb when instead you’ve just added nothing to the conversation.
I don’t really think I’m “cherry picking” or “adding nothing to the conversation”. You’re speaking from ignorance and I’m pointing out the points where you’re reasoning is going astray and how to resolve those issues. Rather than feeling dumb because you don’t know what you’re talking about, you should read what I said to try and see why it resolves the issues you’re struggling with.
I’m cherry picking, yet you cherry picked the sentence “I don’t really think I’m cherry picking” over the entirety of my previous comment to you?
Virtually my whole last paragraph was ignored in my original comment.
Did you not read the entire last paragraph of my first comment where I directly quoted and responded to the last paragraph of your original comment? Here, let me quote it for you. I see reading is not your strong suit.
Quote I took from your last paragraph:
But I do think it throws a wrench in other parts of math if we assume it’s universally true. Just like in programming languages… primarily float math that these types of issues crop up a lot, we don’t just assume that the 3.999999… is accurate, but rather that it intended 4 from the get-go, primarily because of the limits of the space we put the number in.
My response:
It definitely doesn’t throw a wrench into things in other parts of math (at least not in the sense of there being weird murky contradictions hiding in math due to something like this). Ieee floats just aren’t comparable. With ieee floats you always have some finite collection of bits representing some number. The arrangement is similar to how we do scientific notation, but with a few weird quirks (like offsets in the exponent for example) that make it kinda different. But there’s only finitely many different numbers that these kinds of standards can represent due to there only being finitely many bit patterns for your finite number of bits. The base 10 representation of a number does not have the same restriction on the number of digits you can use to represent numbers. When you write 0.999…, there aren’t just a lot (but finitely many) 9’s after the decimal point, there are infinitely many 9’s after the decimal point.
In a programming context, once you start using floating point math you should avoid using direct equality at all and instead work within some particular error bound specified by what kind of accuracy your problem needs. You might be able to get away with equating 4.000001 and 4 in some contexts, but in other contexts the extra accuracy of 0.0000001 might be significant. Ignoring these kinds of distinctioms have historically been the cause of many weird and subtle bugs.
Quote I took from your last paragraph:
I have no reason to believe that this isn’t the case for our base10 numbering systems either.
My response:
The issue here is that you don’t understand functions, limits, base expansions of numbers or what the definition of notation like 0.999… actually is.
But you keep doing you.
Lmao, be sure to work on that reading comprehension problem of yours.
What are you even expecting? How am I supposed to read your mind and respond to all the super important and deep points you think you’ve made by misunderstanding basic arithmetic and calculus? Maybe the responsibility is on you to raise those points if you want further response from me on them and not on me to somehow just magically know what you want?
Let’s face it. The quality of porn on Reddit died over a year ago. Porn businesses got involved and sauce vanished. The content has been weak. It was probably all part of the plan in the Reddit IPO scope of things.
I will never pay for porn and the big studios can suck it till I cum on their faces. Porn will always be free forever.
Then that’s the problem right there. Of course the subreddits change. People stop posting, others start, moderation changes. You gotta update constantly. I rather follow posters, and channels only discover new posters.
The flag you use in your profile picture has been used by that ideology many times. Thomas Sankara in Burkina Faso or the Sandinista revolution in Nicaragua spring to mind.
Do you mean the red/black in the profile picture? Lol that’s supposed to be an anarchist symbol. I can’t control what authoritarians do with an anarchist symbol 🤷♂️
I mean like… am I supposed to create a new symbol every time someone steals it?
Edit: Also: wtf? I googled the country and they use Red/Green. I can’t find a source saying they used Red/Black
It’s the ancom flag and has been used to represent the hand in hand coalition of anarchist and communist forces many many times. You’d enjoy learning about the Sandinistas in Nicaragua they had a cool thing going on, got fucked by the americans though. The CNT also used it in revolutionary Spain which was again the coalition of ML and anarchists.
None of these are “stealing it”. They are anarchists and communists working together.
Anarcho-Communists are supposed to be different from Marxist-Leninists. If there were 2 factions of these ideologies that formed a coalition, then they are no “Anarcho-Communists”, just MLs cosplaying as AnComs.
I mean… how can someone call themselves an Anarcho-Communist and support a dictatorship? That’s some crazy doublethink right there.
Can you give me an example of the ancom flag being raised by revolutionaries that hasn’t involved a coalition between anarchists and communists? I don’t think there’s a single instance of it historically but I’d be really interested in seeing an example if one exists.
When the group is only made up of anarchists, the black flag is raised. The entire symbolic point of the red and black flag is the coalition of the two.
Calling the Spanish revolutionaries “MLs cosplaying as ancoms” is absurd historical revisionism, and really honestly offensive to everyone that fought and lost to the fascists.
“If you’re alive, could I interest you in some dessert? We have a wide selection of desserts! If you don’t order dessert and you’re not dead, please leave. Your table is useless because you aren’t buying anything more!”
Honestly, when I made the username I didn't really think that it would be taken into correlation. That's why there's "dev" at the end because I just wanted a cool username and combine it with my hobby.
Just a disclaimer because we also do not joke about what our ancestors did.
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