The proof has been left as an exercise for the reader

>the proof has been left as an exercise for the reader

Google it.

I hate when they do this. Particularly when the proof doesn't follow logically from the proof the writer just finished (and isn't even similar).

>The book has exercises
>It doesn't have the answers
JUST

Found the engineer.

The solution to the proof becomes obvious if the reader is sufficiently alert...

But when the book has exercises in the middle of the chapter that are supposed to offer an application to the material being discussed, it's appropriate to at least point out a method that may be used to solve it. How the hell was I supposed to know to take data from this tiny-ass chart that's in the margin of a chapter we haven't read yet?

I saw this once

It was the Collatz conjecture too

Trollbook

I want to have the answers to whatever I am trying to solve. If you really want to understand the process of getting to the right answer, it is necessary.

>Try to solve problem
>Use method you think you know or understand
>Get answer
>Check with back of book answer
>If wrong, you restudy method and repeat solving until you can get the answer at the back of the book.

This way, you train yourself to become familiar with whatever you are trying to solve.

The worst shit was when the back of the book answers were objectively wrong. You were better off without the "answers" then. Fucking lazy ass textbook writers.

>the back of the book has all the odd numbered answers to every exercise in the book

That's how almost all textbooks are.

> applications, charts, data
> actual mathematics

Pick one.

>the hard exercises are always even numbered

Ouh my god, she's so nice, why does she looks sad?

>He thinks pure math is the only math in existence

probably pondering the decisions she's made, such as as the toilets she's licked on camera or the black dicks she's taken up her butt on camera, or... well, there's plenty of those.

It almost hurts how much of a qt she is.

she's gone ten minutes without reading a tome on absurdist philosophy

Have you ever considered that maybe you would go to a book about math because you actually have a non-arbitrary math problem you need to solve?

Porn stars that get into all the bullshit feel practically sad to see.

It just seems surreal. Getting thrown around and more "pounded" than even "fucked", getting dicks shoved down their throat for a living, etc. And yet getting up and bothering to maintain yourself, brush hair, makeup, wears clothes.

Why? For what? It's hard to put into words what I mean.

It's the only reasonably hard math in existence.

This.
Usually the proof isn't provided only when it's more of an obvious one. No point in not proving a tough one. Logical, no?

The sad part is that she appears to be at porn convention and has to deal with tons of creeps while she sells copies of her own shame


What a world we live in, this is the shit our ancestors could only dream of seeing

Imma sex worker and I've met others (some who've done porn); we're all dead inside. You get into this line of work for the same reason people get into heroin or meth: you just stopped caring about yourself in any way, and just want money and pleasure and blankness.

It's usually appropriate imo, you should be thinking as hard as the material requires. Proofs can usually be found from other sources as well. I don't like when exercises aren't answered because you could trick yourself into believing the incorrect answer.

What got you into Veeky Forums anyhow? Curious from a sex worker's perspective

Oh I'm actually pretty well educated so science (and, by extension, this shit show, apparently) is interesting to me. I'm also a borderline mentally ill NEET with a substance abuse problem who socially isolates himself to the point of having no friends or job connections apart from druggie scumbags I barely talk to. Got into sex work mostly out of boredom and apathy (and you actually can make a ton of money if you're attractive).

If I was even halfway attractive I would go into porn

Well there have always been far more people than opportunities in the world. Porn is inevitable.

Any hints?

tfw no sasha grey waifu

9/9 topkek

Applied math can be hard, (e.g. PDE,) but it's still garbage. It's either used to make bullets and bombs, or pushes back the date of humanity's extinction. Either way it literally causes suffering.

Real math is useless, harmless, and a hell of a lot more fun.

But why?

>he can't solve the Collatz conjecture
>he doesn't get the academic joke that it's so easy everyone pretends not to know it

You're in comp sci right?

According to her it was her decision to do porn, because she was a horny ADHD, at least she made a good decision stopping early...

Do you think it was because of her ADHD that she was super horny and did those kind of sex. acts?

>black dicks
>black
>dicks
Don't be racist

Applied math useless?

Oh it is definitely not useless, have you ever done the math on how to win in video games for example?

These don't normally end up being terrible proofs. I've found that if it's a good book, then they don't expect you to be making huge jumps as much as connecting dots that, in hindsight, were right next to each other.

There are also definitely cases where I find the answer later, and it's completely fucking obnoxious to expect the reader to figure it out.

I like the video of her licking a toilet, it really shows her worth as a person.

>I have read Lockhart's lament and never taken an advanced applied math class in my life

>refer to figure 33.33 fifty pages from this exercise

I hate this shit

>"the proof is trivial"
>"we can see that it transforms into"

>example is supposed to show how itt should be solved
> values are cherry-picked, so everything "simplifies" and you don't know how they came up with the solution

>example is piss-easy
>exercises are hard as fuck


>not referring to figure 5.27 350 pages from this exercise that is 3 pages long

Or maybe she has bitchy resting face. Who are you to judge?!

I knew Mike Adriano was a Veeky Forumsentist, the autism he exudes on camera gave him away.

>it is obvious that
>clearly

Because reading the answers teaches you nothing.
I'm not kidding, I mean absolutely nothing. Reading answers is a psychological crutch.

Are there any nudes of this girl?

wrongo friendo

reading the answers, and solution steps, teaches you a lot

its pretty much the only way to learn physchem and thermodynamics

57,000 formulas, exceptions, "gotcha's", "shoulda done this," "remember to do thats" and so on

But it's pretty important to know if you've gotten the question right, especially if it's introducing a new concept or proof through the exercise.

You're an idiot.

Agreed. Especially for self study, I'm not going to hang on a problem for a week when I did something stupid like lose a negative sign when solutions.pdf is a click away on google. It saves time and replaces a lecturer or tutor. Plus you still have to figure out what the fuck is going on in the solution to make progress anyway so you don't repeat your error.

>He thinks the point of practicing is to get the answers

Just guessing... but her father died a year ago or so.

Nah it can be really useful. But there is a certain pedagogical threshold you will need to overcome to manage to convince people about it.

What I like most about shame-prone people with no sense or understanding of self-distance... That they so easily out themselves so I don't have to waste my time on them.

This is why I buy the teachers edition.

this.

>Clearly then, we have [something extremely not clear]...

>From this it can be easily shown that...

>Which can easily be verified...

Honestly I've only done one proof where I was sure I had the correct answer and it turned out to be incorrect.

(I made the mistake of assuming there was a smallest element in a certain set of reals)

>values are cherry-picked, so everything "simplifies" and you don't know how they came up with the solution
HOLY SHIT THIS. I remember back in Calc II(?) when I was first trying to wrap my head around more advanced trigonometric integrals, the professor's examples would always be bullshit cherrypicking that simplifies to some stupid trivial shit like sin(x) by itself. That pissed me off so fucking much.
I guess the only silver lining is that I now have the Weierstrass method etched into my retinas because of how much I hated that shit. The worst part was it wasn't even that hard.

Yeah, knowing is a psychological crutch. You heard it here first folks.

> fermat leaves proof out
> his proof was wrong

Top sci

Discussion with your classmates...

No, and don't bother searching the Internet

Nobody mentioned Mike Adriano...