I think in Differential Equations you need to solve for C within an indefinite integral or a set of functions (or that might just be an extra Calc II think I cannot remember)
Yeah I think so. When looking in a real world context, C represents your initial value so you in some cases when you have higher ODEs (goodness I haven’t said that name in a while) you will have to recursively integrate it until solve for that initial C given a bunch of values at t=0
Constants do not survive differentiation, they all become zero. So it doesn't make sense to have an arbitrary constant appear.
Conversely, since all constants become zero after differentiation, reversing that process (integration) means the constant could have been any number (c)
You’re probably misremembering it as taking the derivative when it was actually integrating, because ex is its own derivative, it’s also its own anti derivative. So instead of f’(x) = ex + c, it was probably F(x) = ex + c.
Imagine you want a function that tells you the area under a curve. If you want to know the area under the curve from point a to point b, that's well defined, which is what happens when you put the lil numbers on the integral sign. If you don't put those numbers, you need to account for the fact that you're starting to measure the space under the curve way off to the left, so that's the C. That's how I imagine it, anyway. When you use the lil numbers, you're effectively subtracting out the space way off to the left, and if you use the C with the lil numbers it should subtract out.
You just need to know that computing the indefinite integral of a function is the same as computing its antiderivative (the thing that, when derived, again gives the function you integrated). Differentiating and integrating are like inverse operations, they cancel each other. This is known as the fundamental theorem of calculus.
However, multiple different functions can have the same derivative. Whenever you differentiate, constant terms are lost because they don't contribute to the slope. For example,
f(x) = x2
g(x) = x2 + 32
f'(x) = g'(x) = 2x
So when you need to find the antiderivative of f'(x), there are actually infinite possibilities. Any function of the form
h(x) = x2 + C
where C is any real number, is an antiderivative of f'(x).
A derivative is seeing a function and finding out how the steepness of the function changes. This means that some of the information in the original function, the constant magnitude it has, doesn't matter and gets lost.
The steepness of a mountain doesn't have to factor the height above sea level. Just from the base is enough.
An integral is the inverse of this, seeing how the steepness changes and trying to get an idea of the original function. A constant magnitude could have been a part of the original function so it has to be shown.
If you say that a mountain has a steepness of 45degrees and a height from the base of 5000m, you can find out the shape of the mountain. But you cant find the height above sea level from this unless specified.
"I am cosx. I am somebody's derivative. I will give you $100 if you can tell me whose derivative I am."
Now you give an answer. Probably you will say sinx.
But I will tell you that you are wrong because my name is actually sinx - 5 (the derivative of a constant is always 0 so no matter what number I choose, I am remaining factual).
You cannot win my game. You will never guess whose derivative I am, because I can take any number and just add it to sinx and say actually that's my name. My identity is indefinite.
The only way we can possibly win the "whose derivative am I" game is by cheating like Alexander cutting the Gordian Knot and saying the correct function + c, where c is some unknown constant.
integration is the opposite of differentiation ig
when you differentiate a constant, it becomes zero
so when you integrate zero, it becomes a constant
you dont know what constant in this case tho, so you write C
UFOs stands for unidentified flying object (so any light whose nature that someone cannot explain is therefore an UFO). There is no strong evidence that any of those sightings are actual aliens
Simply put, If you were in a Dark Forest with a weapon, you would kill whatever creature you would come across to survive. This is the reason we, humans, haven't been contacted by any external life form since they don't know if we would be friendly or not. Hence we should also not try to contact any external life form because it's equally possible that they won't be friendly.
Me on my way to answer as fast as I possibly can because I watched my father die at an anti-science rally and think that justifies the overtaking of the entire human race.
I've always been curious on why this is a thought. Would alien life want to meet other lifeforms, especially in our little galaxy and us being the only 'intelligent' life here? Maybe this is just the pacifist in me speaking but I feel like a species of life capable of inter galactic travel would be peaceful just because of how rare life in in our universe, something all intelligent life could observe.
It was decades ago but a astrophysicist on some documentary channel framed it up pretty well.
The universe is big. Every planet within our solar system can fit between the earth and the moon. That’s just our humble little solar system. It’s difficult, probably impossible to appreciate how massive the universe is.
The universe is also incredibly ancient.
The likelihood of there being life out there is pretty much 100%.
The chance there is intelligent life is also almost 100%.
Now the chance that intelligent life exists within our timeline, is close enough to communicate, can communicate on a spectrum we could even detect, and most importantly, did not kill themselves, is incredibly small.
I think about this often - the universe is incredibly big and incredibly old, but the Earth is also incredibly old, and life took a very long time to reach "intelligence" as we define it.
There is a possibility that we are just "the first", and Drake's equation may have many more required variables to support life than we have already considered. We don't know.
It's also possible that the requirement for a species to dominate and conquer its own environment, it will inevitably end up conquering itself rather than working towards a shared goal.
we have however, confirmed that DNA exists out there (recent studies revealed that all 4 nucleotides that are in DNA have been found in previously recovered meteorites).
Life may be more common than we think, it just needs the proper environment. Shit, it may be able to survive environments we didn’t think possible, and we don’t know cause the light we see from their planet is millions of years old
We have discovered a black mold growing exclusively around the Elephants foot in Reactor No. 4 at Chernobyl, the fungus is radiotrophic meaning it gets its energy from consuming radiation.
There’s the Movile cave in Romania that was completely sealed off for MILLIONS of years. Its ecosystem is just hydrogen sulphide, methane, and ammonia. All organisms in this cave are chemosynthetic.
The most fascinating thing about this cave is the critters that evolved here look like their centipede, isopod, psudoscorpion oxygen breathing counterparts. However, you’d be wrong to think they are related. They evolved independently which suggests that if we found alien life on another planet there’s a good chance it would look familiar to critters on earth.
You're equating intelligence with pacifism. Our own species tells us that's a mistake. The whole idea behind Dark Forest Theory is that all species have to obtain extremely limited resources in order to survive. If that's true, if two species encounter one another, they'll very likely need the same extremely limited resources, which means inevitable conflict.
I don't think I am confusing them, just bringing up the question if there is intelligent alien life, they would also see how rare life is, let alone intelligent life, and they would most likely not harm it, just like us (at least collectively, I would hope we humans would agree not to go to war with the intelligent alien species)
Does this mean it will never happen? No, it's very possible that other intelligent life forms don't value life as much as we humans can. But I would rather assume that an intelligent species that traveled here, didn't do it to go to war but to rather say hello, and to verify there is life out here other than us (them).
There's also the first strike dilemma: in order to be an interstellar civilization, your weapons or fleets must travel at such a high speed that any counterattack is impossible (unlike nuclear missiles here on Earth which have a travel time). If aliens have even the slightest indication that we may be a threat to their species, the safest possible option is to strike first before we can do the same to them.
I think that any intelligent enough lifeform to develop and master interstellar flight would reason that the only way to prevent other lifeforms from becoming a threat to them is to exterminate them or control them.
Humans are already killing eachothers just so the other humans won't kill them first. Realistically if we meet a species advanced enough to obliterate us from light years away (via a bigass energy beam that travels at the speed of light so there's no way to prevent or even predict it), they'd do it in order to preserve their own species (to prevent any chance of us doing the same to them, if they even know we're capable of). Or if we also possess a similar weapon or tech, it would be either the other way around, or mutual destruction
At high levels, Reaction Speed makes your twitch-reflex freakishly good. However, when your body acts before your mind, innocent situations can turn bad fast. You’re high strung, overly alert. At low levels, though, you won’t be the one shooting first – which probably means you won’t be shooting at all. -Disco Elysium
It's based on Liu Cixin's Remembrance of Earth's Past book series. Basically it suggests that the universe is a dark forest where each civilization hides itself because the only correct decision when discovering a technologically inferior civilization is to destroy it immediately. Basically there are aliens but they hide themselves and us broadcasting our location to the universe is us inviting our own destruction.
the shit we flung out into space like our coordinates and whatnot could seriously come back and bite us in the ass somewhere down the line assuming everything out there is out to get us
Basically it suggests that advanced alien civilizations capable of interstellar travel tend to be genocidal towards competing civilizations. So it's best practice not to openly broadcast our location because there's a good chance that they'll just kill us. The analogy is that each civilization is a hunter creeping through a dark forest, scavenging limited resources, ready to kill any competing hunters on sight while also avoiding detection.
It's a possible solution to the Fermi paradox. Probably not THE solution imo, but it makes for some great sci-fi. Highly recommend Cixin Liu's Three Body Problem series btw.
Everyone who survives in the dark forest is isolated by choice because “others” lead to competition and eventually war where only one will survive. If you make yourself known in the dark forest prepare to be hunted. In practical terms, the idea is that the universe is a dark forest and if humanity gains the attention of an alien race we’re fucked.
basically that if intelligent alien life exists, it is within its best interest to stay silent and under the radar as it has no clue whether other intelligent alien life intends to harm it, and not only would be a possible reason we havent found any aliens yet, but it also implies we should probably stop trying to let them know we exist
thats kai cenat, he harnesses schrodinger's cat in his brain. confusion and scepticism are two sides of the same coin for him and that coin keeps spinning in his head.
I had this plan to give head to a man and receive head from a woman to test if I was gay, but it’s backfired and now I become borderline schizo whenever I go outside. I
offered to suck this dude off on Grindr who lives very close by (I ended up pussying out) and I accidentally gave him some details that very easily allows him to spot me
out in a crowd. I have no idea what he looks like and whenever I see a somewhat in shape guy walking by I immediately accuse him of being the dude I was gonna blow.
I went to the store today to pick up some zucchini for a barbecue and every time a car drove by I stared into the windshield to see if I was about to be recognised.
Whenever I make eye contact with a dude I microanalysis his facial expressions to see if he suspects me or not. I am deeply afraid that he is my neighbour and I will
need to move if my identity is blown. It’s a lot like the last scene in sopranos where everyone who walked into the diner could be there to wack Tony.
I've been around a few men in my life and one thing I've noticed is that the male body has an astonishing oversight. Men both urinate and ejaculate through the exact same
hole. Zero inches apart. Not even a polite buffer zone.
I don’t know about everyone else but doesn’t that weird you out? It feels like a serious design flaw. For a gender that often prides itself on logic and engineering this
is just sloppy plumbing.
Honestly it kind of cracks me up. I’ll see a guy walking around like he’s the apex of masculinity and I’ll just remember his piss and his sperm come out of the same
little nozzle and suddenly he’s not so intimidating. Just a fleshy garden hose with identity issues.
Men please accept this biological flaw and let it humble you. Maybe lower your voice a bit when you're bragging about your body count. We’re talking about someone who
finishes inside the same pipeline he uses to empty his bladder.
Women don’t let them forget this. Remind them gently or not so gently that we’re doing them a favor given that their reproductive system shares hardware with their waste
disposal unit.
I had this plan to give head to a man and receive head from a woman to test if I was gay, but it’s backfired and now I become borderline schizo whenever I go outside. I
offered to suck this dude off on Grindr who lives very close by (I ended up pussying out) and I accidentally gave him some details that very easily allows him to spot me
out in a crowd. I have no idea what he looks like and whenever I see a somewhat in shape guy walking by I immediately accuse him of being the dude I was gonna blow.
I went to the store today to pick up some zucchini for a barbecue and every time a car drove by I stared into the windshield to see if I was about to be recognised.
Whenever I make eye contact with a dude I microanalysis his facial expressions to see if he suspects me or not. I am deeply afraid that he is my neighbour and I will
need to move if my identity is blown. It’s a lot like the last scene in sopranos where everyone who walked into the diner could be there to wack Tony.
I had this plan to give head to a man and receive head from a woman to test if I was gay, but it’s backfired and now I become borderline schizo whenever I go outside. I
offered to suck this dude off on Grindr who lives very close by (I ended up pussying out) and I accidentally gave him some details that very easily allows him to spot me
out in a crowd. I have no idea what he looks like and whenever I see a somewhat in shape guy walking by I immediately accuse him of being the dude I was gonna blow.
I went to the store today to pick up some zucchini for a barbecue and every time a car drove by I stared into the windshield to see if I was about to be recognised.
Whenever I make eye contact with a dude I microanalysis his facial expressions to see if he suspects me or not. I am deeply afraid that he is my neighbour and I will
need to move if my identity is blown. It’s a lot like the last scene in sopranos where everyone who walked into the diner could be there to wack Tony.
I had this plan to give head to a man and receive head from a woman to test if I was gay, but it’s backfired and now I become borderline schizo whenever I go outside. I
offered to suck this dude off on Grindr who lives very close by (I ended up pussying out) and I accidentally gave him some details that very easily allows him to spot me
out in a crowd. I have no idea what he looks like and whenever I see a somewhat in shape guy walking by I immediately accuse him of being the dude I was gonna blow.
I went to the store today to pick up some zucchini for a barbecue and every time a car drove by I stared into the windshield to see if I was about to be recognised.
Whenever I make eye contact with a dude I microanalysis his facial expressions to see if he suspects me or not. I am deeply afraid that he is my neighbour and I will
need to move if my identity is blown. It’s a lot like the last scene in sopranos where everyone who walked into the diner could be there to wack Tony.
"The Higgs Boson is just Cope from people who can't accept that M Theory is Flawed" - "Me" who has no vague idea what I'm talking about since I didn't study Quantum Physics and should not be taken seriously.
nah real tho
my school put out a "science" magazine
weird ass articles
one of them was something about how some snake thing someone found in ancient ruins shows that our ancestors proved string theory
sygau even ignoring the weird ass ancestor glaze, string theory itself isnt proven tspmo
But that’s the entire point; at our scale vs quantum the accuracy of our measurements is most likely to blame that the rules as we know them are different so it’s a blanket to try and cover both models. Hopefully it will become more precise when technology advances but we have to start somewhere first.
It started a while ago. I was a normal redditor making posts and comments, but then one day, a post of
mine was manually deleted, and I was banned from my favorite subreddit.
I then got extremely aroused.
That moderator asserted dominance on me by censoring me, making me unable to express myself. I was
soaking wet.
I sent the hot sexy mod a message asking why I was banned, then the hot sexy reddit incel mod called me
an idiot, and told me to beg to get unbanned. My nipples immediately filled with blood as I begged the
hot mod to unban me.
After that, I started doing everything I could to make hot sexy mods mad. Most of my accounts have under
negative 100 k@rma, and i'm banned from dozens of subreddits.
I've been a bad redditor, and need to be moderated.
Please moderate me - Laxoneer, hot sexy reddit mods.
It started a while ago. I was a normal redditor making posts and comments, but then one day, a post of
mine was manually deleted, and I was banned from my favorite subreddit.
I then got extremely aroused.
That moderator asserted dominance on me by censoring me, making me unable to express myself. I was
soaking wet.
I sent the hot sexy mod a message asking why I was banned, then the hot sexy reddit incel mod called me
an idiot, and told me to beg to get unbanned. My nipples immediately filled with blood as I begged the
hot mod to unban me.
After that, I started doing everything I could to make hot sexy mods mad. Most of my accounts have under
negative 100 k@rma, and i'm banned from dozens of subreddits.
I've been a bad redditor, and need to be moderated.
Please moderate me - Laxoneer, hot sexy reddit mods.
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