Taken by NASA's Mars rover Curiosityhttps://mars.nasa.gov/raw_images/1064629/?site=msl

>>14480077Wrong picture, fool, here's the actual portal.

>>14491716Not everyone is OP you borderline faggot.

>>14491729What is reading comprehension?

>>14491725Anon, that is clearly Mars' poopa.

>>14490471Oh yea I am totally retard that's got to be it you definitely are not just ignorant in addition to being retard

Whats up bros. I'm a student of mechanical enginnering and the math and algebra we are learning is based on vector calculus and linear algebra.What happens is that I feel like calculus is not as rigurous as I'd like. I want to understand clearly and completely what is a function, what are spaces, etc. like a generalization of them but I don't want to go full math virgin schizo, I want to learn a level below that.In other words, I'd like a book or some books that could give me the big picture of vector calculus, lineal algebra, spaces and how they are all connected. I thought "Understanding Analysis" by Abbot could be good but it is not what I'm looking for or at least it doesn't look like... could be a bit of retardation of my part though.Anyways bros, please help and thanks in advance.

>>14492002>student of mechanical enginneringHere's the deal: by the time you finish your mathematics requirements, you will be informed (correctly, I might add) that you finally know enough basic math to do moderately interesting things with it. What you're asking for is material that goes pretty well beyond multivariable calc and differential equations.

I also recommend Sheldon Axler linear algebra done rightAnd it doesnâ€™t hurt to look up errata for every book you read, to avoid a few head scratches.

>>14492352>you really dontwhy? I really want to feel all of the subjects clicking together.>>14492361Ok this makes sense but wouldn't mind some spoilers to at least see how this material looks like.>>14492345Of course you do, Legion.>>14492365Thanks man, I really appreciate it.

>>14492002"Modeling and IPC Control of Interactive Mechanical Systems - A Coordinate-Free Approach," has a ~30 page primer in the appendix on all the math REAL mechanical engineers should know going from basic logic to things like lie algebra/manifolds. As a mechanical engineer I can tell you those 30 pages are hell. I've barely made it through page 10(I got filtered by tensors). Try it. You will probably need to look up more stuff as you go along.

>>14492383This is very good info, thanks anon.

"Modern" psychiatry is the invention of Freud, who is unironically a conman. It took decades for psychiatry to "defreudanize" and in fact the process is still ongoing. Psychiatry is a field where, since scientific standards are lax, bad science drives out good science. It's much easier for a bad actor (or group of actors) to publish a series of scientific unsound, but juicy, papers than it is for a good actor to publish a scientifically sound paper containing more pedestrian results. The effect is that the field tends to be dominated by actual sociopaths who forge their way into positions of power and academic prestige. I can make actual examples if anybody is interested. Even if there are plenty of good people in the field, they have to live in this kind of environment, and the most midwitty ones do not even realize it. It's a fucking shitshow.

>>14491719>psychiatry is bullshitAlways has been.

>>14491719Psychology is a much more serious field since it recognizes its own limits. Psychologists try to understand the mind and its patterns, not the brain. They dont attempt to cure anything, just to understand. This is easy as collecting data on behaviors and finding statistical correlations.>Our data from 50 million case studies show that people that do X are also % likely to be Z

So curious how nocebos are approved, and become a good business model along with taking people hostage

what is wind?

>>14492423An array of numbers.

warm air is higher pressure than cold air. sun warms up air, air runs away

That thing trees make when they move

>>14492437

>>14492423>what is wind?Ant farts... prove me wrong!

My heart rate is 45-55 on 40mg propranolol twice a day right now after using for 2 months, when I started it would average 65-75. Before propranolol my heart rate averaged 105-115. Miracle drug

is there a book somewhere in between the brute force dry problems of stewart's calc and the heavy proofs of spivak's calc?

>>14492565YeahHubbard&Hubbard's book on Vector Calc and Differential Forms is exactly between a more rigorous and formal book like Spivak's Calculus on Manifolds and something much more utilitarian and applied like whatever the fuck engineers and cstards use for multivariable calculus. The book briefly reviews large parts of single variable calculus while teaching the reader (nearly) the entirety of linear algebra, basic optimization including quadratic forms, the basics of classical differential geometry, differential forms, all of multi/vector calc in extreme detail, basics of metric spaces and some rigorous real analysis here and there, quite a good look at the mathematical formulation of Electrodynamics through differential forms, smattering of probability, and some other varied pure and applied applications. Ted Shifrin has a book that almost exactly mirrors the H&H book that takes a similar approach with even more emphasis on geometry and an extremely thorough dissection of linear algebra from the pure and applied view. You could conceivably use both texts together and substitute a traditional text on lin alg with those books. If you need something more abstract you're moving into the realm of global analysis, diff geo, diff topology, abstract algebra etc. and you won't be able to escape heavy formalism at that point.

Is this a soup? Justify your answer.

>>14491982drinking water always has dissolved salts and gases from the air in it :)

>>14491999>normal people make soup by boiling solids IN water thoughGazpacho isn't a soup now?

>>14492016no

This board has seen better days

>>14492374Summerfags, go take a vacation anon, for your own sake.

if 0 to the 0 equals one that means that0 to the 0 plus 0 to the 0 equals 2Meaning that 0 to the 0 plus 0 to the 0 times 0 to the 0 plus 0 to the 0 equals 4Now my question is, how can I use that to take zero apples and get 4 apples?

>>14490216>if 0 to the 0 equals one that means that0^0 = 1 true0 to the 0 plus 0 to the 0 equals 20^0 + 0^0 = 2 trueMeaning that0 to the 0 plus 0 to the 0 times 0 to the 0 plus 0 to the 0 equals 4Now my question is, how can I use that to take zero apples and get 4 apples?You cannot have 0 apples

>>14490216They tried to snatch your prize: The mikasa man.

>>14490216>if 0 to the 0 equals oneIt doesn't

>>14490216baseball bat skullfaggot

00 = undefined

How do you know if a mathematical proof is true or not?

Truth is a moral and logic concept, not a mathematical one.

>>14479744needs sauce. bbq

>>14479744If it can't be contradicted by another formula*

>>14479744If you don't take anything for granted and there aren't any non sequiturs.

Just prove it in lean!

>We estimate that loud alien civilizations now control 40-50% of universe volume, each will later control ~10^5 - 3x10^7 galaxies, and we could meet them in ~200Myr - 2Gyr.what am I to make of this, bros? is this valid reasoning?https://grabbyaliens.com/It got published in a real Astrophysics journal. It says 50% of the universe is controlled by aliens.

>>14490581This just perpetuates the racist stereotype of immigrants committing sexual assault

Could be true but I refuse to "believe" any model about the prevalence of aliens before1. abiogenesis is properly explained and its likelihood known2. the evolutionary pathway from single-celled organisms to spacefaring species is understood and its likelihood knownGive me probabilities (that are not guesses) for these two things and I'll consider this theory

>>14492178>because if you run the exponential growth model numbers on "loud" aliens you find that they quickly make the entire universe uninhabitable for us.I ran that model on the Roman empire, but didn't get your result.

>>14492277The universe is larger than Earth so you get more than one Roman Empire and a couple of them per trillion or so keep going.

>>14492277Kind of a shitty example since tons of their ancestors exist to this day and the modern civilization that dominates Earth is filled with their architecture, philosophy, language, customs, etc. The only thing that stopped was us calling civilization "The Roman Empire."

Prove him wrong /sci/! You can't!!!

The math is correct but the punctuation is wrong. There should be a period after the 5!. Leaving it out makes the confusion his fault.

>>14492395Lol

>>14492395real

>>14492395I hope they're rotting in hell!

>>14491325Haha

What's your favorite /sci/ publisher?

>>14490188And you would prefer him to be proud gangster posing with guns or something? Leave the nigger alone. Soon external layers of neocotex will make us all whatever we wanna be, and none of ape matters will matter. And when everybody will be free to prepare his own course of education, going to school will actually become embarrassing element of being a cattle indoctrination consumer.

TEAM DOVER CHECKING IN. WE POORFAGS ARE STILL GOING STRONG.

>>14490730not our fault that he didn't bother learning how to read and that he now has psychological insecurity as a result of his laziness. compounding shame over illiteracy with a cringe act only makes the situation that much cringier

>>14488092Fuckin lold.

>>14490038nice

ITT we post an discuss examples of fake and intentionally misleading science. In the first example we see a misleading claim, the statistic was created because the media and government overemphasize crimes against blacks while routinely ignoring hate crimes against whites. Darrell Brooks isn't being charged with a hate crime.

>>14492295I dont have a twatter account but post this in response if you have one

>>14492295

>bodhi, the pajeet, is posting as if he's whitekek. you will never be white, bodhi

>>14492339I am not white either, and these contant attacks on whites by major news outlets and democratic politicians are just absurd. So no, I don't wish to see kind people who share with the rest of the world get destroyed by a parasitic Jewish people(who curiously had near zero scientific achievements prior to the 20th century...)I however have no problems with most other races, they're just being weaponized against nations that hurt the Jewish ego.

>>14492414>>14492339>>14492295This is just sad

>>14491776Precisely nothing

Everything.

>>14491781>>14492133Something

>>14491776I didn't know the actor Geoffrey Rush was a mathematician.

>>14491781>>14492133>>14492204The answer lies somewhere in between

Is there some kind of unobtainium in the real world?

>>14491386Unobtanium is a real word, though more of a joke than anything, referring to any material that would be the perfect solution to an engineering problem in all respects, except that it either does not exist or is near-impossible to get.

>>14491699I never heard the word before Dances with Smurfs though.

>>14491709Yeah the smurf war movie popularised the word but there's a lot of things you could call an unobtanium. Probably the most notable example is room temperature superconductors. If we had access to such a material in high quantity we could majorly increase the efficiency of almost everything that uses electricity and make nuclear fusion more viable. But we don't, so we can't.

>>14491386Magnetic Monopole, it's predicted by science wizards

Colossal carbon tubes