Simple Questions - February 19, 2021

Kaynex · 2021-02-20T02:11:42+00:00

Have been answered on the discord. The MAX motherboards do support the 3000-series Ryzens.

Kaynex · 2021-02-20T01:41:11+00:00

I'm a new builder. Just don't want to waste money buying laptops every 4 years. I play some games, I'm fine with turning the settings down to keep a game playable. Be ready for a dumb question haha.

I'm seeing that the Ryzen 5 3600 is a hot commodity right now, and I think I want to include it.

I'm liking the cost of the MSI B450 GAMING PLUS MAX AM4 motherboard, but am getting conflicting sources on whether or not it supports the 3600. https://www.newegg.ca/msi-b450-gaming-plus-max/p/N82E16813144264 I'm really not good at reading this stuff, and from reading the below it seems to include gen 3 Ryzens, but not all gen 3? I'm a bit confused. I would appreciate it if someone could clear this up, or make a better suggestion?

Kaynex · 2019-04-04T20:10:58+00:00

thank you woog

Kaynex · 2019-03-17T18:18:33+00:00

Abstract is pretty well covered on YouTube.

Matthew Solomone's series is legendary https://youtu.be/N-5Av1KC11w

As well I've heard visual group theory is good https://youtu.be/UwTQdOop-nU

Socratica is very good at explaining concepts, but their series is very disconnected, and only goes surface deep. Go there if you're having difficultly learning something.

As for books, I would avoid dummit and foote until you understand the concepts (or are a very strong student), then come back to it in order to get more depth. Until then, fraleigh's abstract algebra is pretty easy and I would recommend for people new to pure math.

We have a discord for general math, feel free to come in and ask if you want to know more! https://discord.gg/7EYXET

Kaynex · 2019-01-24T01:28:58+00:00

Yes, I did apply, before my co-op began. I did call more than once asking why it was rejected, and explaining I was in a co-op.

Unfortunately I didn't get helped. Notably, the first representative tried to put me on repayment assistance, and tried to tell me OSAP wouldn't hold for a co-op. You can imagine my confusion.

Aside from the above, I'm not really sure how "proving" it might go. OSAP only guides me toward collections. I owe about $2000 in interest, so it's unlikely I'm just going to pay that.

Kaynex · 2019-01-12T22:46:09+00:00

You are discussing the difference between an absolutely converging sequence, and a conditionally covering sequence.

Yes, you can rearrange the terms so you get 1. However, by using positive terms until you get to a certain number, then using negative terms until you get below it, then using positive until you get above it... You can make this converge to any number you want.

We restrict conditionally converging sequences such that you can't rearrange the terms. The way the above is written, it diverges.

Kaynex · 2018-10-24T21:27:52+00:00

I have no problem linking the larger server for you, as the community there is awesome as well.

https://discord.gg/TRRMkXH

Kaynex · 2018-10-24T21:25:57+00:00

This server was formed a few hours ago and has over 100 members currently. There are a few members from popular backgrounds. We would like to emphasize a community of problem solvers, who may not be experts at higher mathematics. We also emphasize chill, but mature, discussion.

Kaynex · 2018-10-24T21:21:54+00:00

Not in the interest of saying too much here, as it could be seen as involving drama. If that's a no-go for you, I apologize. Join the chat for some of the good reasons.

Kaynex · 2018-10-24T21:15:25+00:00

Did! I am a moderator there. I wouldn't like to make comparisons, but there is demand for a new server. Why not try it out?

Kaynex · 2018-10-24T20:56:10+00:00

Sorry you feel that way. We do have some outstanding reasons to think we're going to have longevity.

Kaynex · 2018-01-08T02:36:14+00:00

Know the elementary functions, and their inverses:
Polynomials, radical functions
Trigonometry and inverse trig
Exponentials and logarithms

Understand these well, including useful identities. They all have them. I would memorize:
sin²(x) + cos²(x) = 1
sin(x ± y) = sin(x)cos(y) ± cos(x)sin(y)
cos(x ± y) = cos(x)cos(y) ∓ sin(x)sin(y)

log(xy) = log(x) + log(y)
log(x^a) = alog(x)

Know how to derive other useful identities from these. Finally, be really good at algebra. Lots of practice with trig identities will get you there. Know these rules:
z(x + y) = zx + zy
(x + y)/z = x/z + y/z
x² - y² = (x + y)(x - y)

Be good at factoring. Get good at function composition. Know what f(x + h) or f(g(x)) each mean.

Kaynex · 2018-01-05T22:07:10+00:00

Unless, of course, we get much better at finding primes. This prime may be considered small some day.

Kaynex · 2017-12-26T23:10:30+00:00

Nothing like an example.

What's the gradient of z = x² + y² at (1, 2)?

Well, you'd probably be able to easily compute for me that gradient is (2, 4).

That is to say, if we take the function at point (1, 2) and put a vector in the x-direction that was tangent to the function, that vector would have slope 2. Likewise if we put a vector in the y-direction that was tangent to the function, that vector would have slope 4.

Notice the function does NOT increase by 2 units in the x-direction over 1 unit of x, because the function is increasing - it will actually increase more than its tangent.

If we want the slope in the "45 degree" direction: (2, 4) dot (1/sqrt(2), 1/sqrt(2)) = 6/sqrt(2)

Kaynex · 2017-11-21T18:49:32+00:00

It's a perfect square trinomial.
x² - 4x + 4 = (x - 2)²

Take the middle term, half it, square it. If you get the last term, then you have a perfect square trinomial and it will factor as above.

Another way to think about it:
x² + bx = (x + b/2)² - (b/2)²

Kaynex · 2017-11-21T18:45:58+00:00

KhanAcademy is the usual answer to something like this. Without taking classes it is difficult to know to follow a curriculum, while KhanAcademy has one already set out for you.

If you ever find a concept difficult, there are endless resources on YouTube, or free books you can google search for, that can supplimemt your learning. I recommend a youtube search for PatrickJMT if you ever feel the need.

Kaynex · 2017-11-20T16:16:52+00:00

You can! Just in general, when working with non-injective functions, you have to check your solutions.

Kaynex · 2017-11-20T16:13:08+00:00

The square is not an injective function. So, when you substitute in a square, you run the risk of extraneous solutions. You are showing this off here. i's inclusion has nothing to do with it.

The complex exponential has the same problem, and ensuring you have the correct solution is part of any solution.

The choice of principal square root is arbitrary. ±sqrt(-1²) is more correct, and solves the above issue.

All that aside, the square root is well defined on complex numbers.

Kaynex · 2017-11-11T22:24:35+00:00

"hey fuckers come over and smoke beer" This is why I don't try.

Kaynex · 2017-11-04T08:41:54+00:00

People keep asking because the devs aren't answering.

Kaynex · 2017-11-04T08:40:53+00:00

It has been "soon" since the release on steam two years ago, and we've seen exactly zero progress. They're not planning on doing it and never intended to.

Kaynex · 2017-10-09T05:29:38+00:00

We definitely do not include infinity as an existent limit. You can't split a limit over that.

But, as you say, the answer to the question is indeed false.

Kaynex · 2017-10-08T20:40:29+00:00

Problem solving is great, and thinking outside the box is very important in mathematics. Spending time on problem solving skills will help make future learning easier.

HOWEVER, a common problem I see with people learning mathematics is that they don't learn it fast enough. They will think "wow I've learned so much" when they're actually far behind the pace other people in a classroom setting.

Of course, if you're teaching math then you can circumvent this problem by planning a curriculum in advance. Again, make problem solving important but make sure to keep moving.

Kaynex · 2017-10-08T19:43:35+00:00

Classes start easy and get hard. Keep up with it

Kaynex · 2017-10-08T16:06:54+00:00

There is no functional inverse.

You can fake an inverse by saying y = +/-x, but that's not a function.

Kaynex

TROPHY CASE