#🍁・general-2

1 messages · Page 144 of 1

gusty ermine
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No worries. Thank you

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yes Calulus AB

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calculus*

shrewd pendant
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Do you understand the part about perpendicular and squares

gusty ermine
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No I don't get the question at all...

shrewd pendant
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Hm how to explain without drawing It

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So that’s roughly the square at x = 5

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Imagine rotating it along the left edge so it’s coming out of the page at you

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Just the square. That would be the cross section at x=5

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Oh wait

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I’m just realizing now that the axes on that plot are different scales haha. But use your imagination so that it’s actually a square according to the axes

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So essentially, the cross sectional area of f(x) is just f(x)^2 since it’s a square

gusty ermine
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but what about x=e

shrewd pendant
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That’s the right bound

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So to find volume you integrate over area

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So integrate f(x)^2 from where it hits 0 to x=e

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Fortunately f^2 is just Ln x

gusty ermine
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but e=2.7183 so wouldn't x=e be the left bound

shrewd pendant
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X=e is a vertical line

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Idk if you had it drawn as a horizontal line in your pic

gusty ermine
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yeah that was my bad

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Sorry I still don't get it

shrewd pendant
gusty ermine
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What does it mean by cross section

shrewd pendant
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Sorry for phone art

gusty ermine
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i see what you mean

shrewd pendant
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And the cross section bit means that at each slice taken in a vertical line, the cross section is square

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If you imagine that you can imagine what the 3D solid would look like

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See how the bottom is square

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Except instead of having flat sides, yours has sides that curve according to f(x)

gusty ermine
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so i m getting integral of sqrt(lnx) lower bound 1 uppper bound e?

shrewd pendant
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Almost, but you want the volume so you need integral of area

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And the area is f^2

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So integral of ln x for those limits

gusty ermine
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why is the area f^2?

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i still don't get the cross section

shrewd pendant
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So this shape has dimensions according to the 3 axes

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The length in the y axis is f(x)

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The length In the z axis is also f(x)

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The length in the x axis is e-1

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We need to do the x axis last though cause that’s where we integrate

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So the cross sectional area in the x*z axis is those two dimensions multiplied by each other

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Sorry idk if I’m just repeating myself

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It’s a strangely written problem

gusty ermine
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where did e-1 come from?

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im so sorry

shrewd pendant
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That’s the limits of our integration

gusty ermine
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i have to go right now, i will be back in a bit

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thank you so much for helping

shrewd pendant
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That would be the length of the red area in my little image

gusty ermine
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ill be back in a while

shrewd pendant
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Sure no problem

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If you can’t figure it out just do integrate ln x from 1 to e and that’s your answer 😛

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Oh hey it equals 1

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Who woulda thunk

gusty ermine
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=wolf calculate integral 1 to e (sqrt(lnx)

rotund pawnBOT
glass dragon
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@real imp estás aquí?

real imp
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@glass dragon yeah whats up

glass dragon
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You have a problem with your eyes where you have good vision, but when you look at your phone it's like your eyes can't focus or like they're crossing, right?

real imp
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Im on an uber tho, went to my gf's to bring her a chocolate bar

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@glass dragon yeah

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But thats not astigmatism

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Thats weak eye muscles

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I went to the doctor and they told me to do exercises

glass dragon
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My husband does too, and they gave him these glasses, they actually help him focus some how and I don't understand it at all

real imp
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I wasnt prescribed glasses

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Thats weird

glass dragon
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But maybe you can ask about it

real imp
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Yeah i mean ive gotten way better

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It used to be kinda bad

glass dragon
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It night not be the same thing, either, because they didn't say his eye muscles were weak, but I know you guys have very similar symptoms so I wanted to mention that his glasses are working really well

real imp
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Nice thats great

glass dragon
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Does it happen to you less when you're well rested and worse whenw you're tired?

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What kind of eye exercises do you do?

real imp
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Does he have to use light mode as well?

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Or would he have to

glass dragon
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He said it didn't make a difference

real imp
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Oh to me it definitely did

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I dont see blurry words anymore

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Ive done it to all the software i use and its been great so far

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Except for idk

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Vscode

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Light mode vscode is eye burning

glass dragon
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Yeah so it may not be exactly the same thing

shrewd pendant
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eye exercises 👁💪

summer rune
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como puedo resolvar este problema?

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Yo pienso que la respuesta es 336

shrewd pendant
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8c3 = 56

summer rune
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pero solamente tenemos 3 spots y 8 personas

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so it wud be 8 for the first then 7 then 6*

shrewd pendant
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have you learned about permutations and combinations?

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you are doing the calculation as a permutation

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but I think a combination would be more relevant here

median trail
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I thought about it that way too fam

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you can choose 8 then you can choose 7, and then 6

shrewd pendant
median trail
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I know you can use that

shrewd pendant
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a combination is when the order doesn't matter

median trail
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I just don't remember the rules

shrewd pendant
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so you divide by the permutation of 3

summer rune
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ya but doesnt the order matter here cuz u cant have one person for mmore than one spot*

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ya ive learned abt commbinations and permmutations*

shrewd pendant
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because once you get those 3 people you are talking about, there are actually 6 ways to have chosen those same 3 people

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if that makes any sense

summer rune
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wait how are there 6 ways to choose the same ppl?*

shrewd pendant
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so 8P3/3P3 = 336/6 = 56

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lets say your people are A, B, and C

summer rune
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si

shrewd pendant
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ABC ACB BAC BCA CAB CBA

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but all 6 of those represent the same leadership council

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unless there are 3 positions like president, vice president, and treasurer

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the problem could have been a little more clear

summer rune
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ok taht mmakes sense gracias*

shrewd pendant
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any time

median trail
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@abstract scaffold how is linear system of equations related to its transpose?

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like let's say I have this

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| 1 0 2 | X |
| 0 1 0 |Y |*

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I know that the system is linear dependent since I can't find all the pivots

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but for R^2 that's okay

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since I already have two vectors that are linearly dependent

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so the column space is R^2 anyway

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but

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| 1 0 | X|
|0 1 | Y|
|2 0 |Z|

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But in this case this system is LI but it doesn't "generate" R^3 since they are just two

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so I get the plane Z - 2X = 0

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how is this condition related to the result I get in the first system of equation?

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the one I didn't get the transpose of

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I was reading in wikipedia that the column space is equal to the row space

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so the column space is that same condition?

hollow wedge
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the column space of the transpose is the same as the row space of the original, is that what you mean?

median trail
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yes

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wait no

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ah wait nvm

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yeah

hollow wedge
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that makes sense to me, but it might be a bit trivial too.

median trail
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you are right

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how is that trivial lol

hollow wedge
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well it looks the same right?

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nvm I'm probably oversimplifying it

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also I don´t like the word trivial, I take that back, intuitive is better

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can you explain why the system is dependent?

median trail
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X1 = X - 2X3

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the variables depends on a random scalar that you can pick

hollow wedge
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you probably mean arbitrary

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hmm I think I'm misunderstanding the notation 😢

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been too long

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| 0  1  0   |Y |*```
what equations does this represent?
is it not
```1x1 + 2x3 = X
1x2 = Y```
?
median trail
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I can type right now sorry

hollow wedge
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np

median trail
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can't*

hollow wedge
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I guess it's a no then?

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I mean, I guess I did not understand it correctly

median trail
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ah I'm not sure haha

hollow wedge
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anyway, what I was getting at before, is that if you compare a column in the transformed matrix with its corresponding row in the original matrix, they look exactly the same.

bold gull
shrewd pendant
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solve how

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with a calculator dogekek

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but actually

bold gull
hollow wedge
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solve it how?

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do you need to reduce it to a single number?

bold gull
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yes.

shrewd pendant
hollow wedge
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is that the answer?

shrewd pendant
hollow wedge
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wait sqrt(6/5)

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yeah

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so katakana do you know that a^x*b^x=(ab)^x?

bold gull
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nope, my teacher didn't explain to us how to solve this type of problems.

hollow wedge
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hmm, ok, well that is how it works

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and also sqrt(a) = a^(1/2)

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so you can use all the power rules on square roots

bold gull
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Thanks for your help.

hollow wedge
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do you understand it now?

bold gull
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Yes

hollow wedge
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cool

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np m8

abstract scaffold
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@real imp yeah. whatever you get from ur synthetic division is your factorised form.

dont change (2x+1) to (x+1/2)... even though solving both = 0 gives the same answer

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because look, compare:
x^2 + 2x + 1
and
2x^2 + 4x + 2

... they technically factorise differently... but they "have the same roots" if you use the same quadratic formula.

if it was an equation = 0.... sure you don't need to write the factorised form...
you just need to write stuff like x = -1/2 or x = 1 or whatever the answers may be.

so read the question whether it just says "factorise this" or "solve this equation", because they are two different things.

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@median trail my linear algebra is a bit weak

median trail
abstract scaffold
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@real imp so for example. there may be some people who fall for the trap for this quadratic
6x^2 + 7x + 2

... they'll solve it using quadrating formula and get
x = -1/2 or x = -2/3

so thus they will say factored form is (x+1/2)(x+2/3)....
but we now from the "cross method" that we have 6x^2 in the front
thus first factor could have (6x+a) and second (x+b)
or first factor (3x+c) and second factor (2x+d)... and that's basically it....
factor (x+u) and factor (x+v) can't exist together factorised for this quadratic alone....

abstract scaffold
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this is what it'd look like had I chosen (x+1/2) as a factor at the beginning

📎 unknown.png
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or basically. the moral of the story is... with cubics... once you found a factor at the start... only use synthetic division once. No need to use synthetic division on a quadratic. Just factorise the resultant quadratic the normal way.

abstract scaffold
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i scrolled up more to see. short answer: just leave it as (2x+1)

glacial rivet
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55mb/s

abstract scaffold
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@gusty ermine if you draw the graph sqrt(lnx) {doesn't need to be too exact, just a sketch}

then you draw the base of the squares {precisely the lines perpendicular the x-axis until they touch sqrt(lnx)}

then you extend the lines so they look more like "squares in a 3d plane"

then rotate the page 90 degrees such that the base and cross section makes more sense... and you get something like this.... (roughly)

📎 unknown.png
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finding the volume is finding the areas of all those "infinite squares"... which is an integral.

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if we took one of the squares at some arbitrary x value in between our region bounded as stated in the question

we see that one side of the square is exactly the y coordinate of our original function. so one side of the square is sqrt(lnx)

Thus the area of a square = side^2
so (sqrt(lnx))^2 = lnx

we want to find the areas of not just that square... but all the squares in that region...

that is all the squares with sides from the left most point(a) to x=e

that is integral from a to e of ln(x)

📎 unknown.png
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i'll leave it up to you to find what that left most point is.

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as well as calculating the integral yourself. {there are multiple ways of calculating this integral}

abstract scaffold
gusty ermine
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China is just one guy tbh

jolly wind
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Wow I can learn Spanish and Math lmao

shrewd pendant
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@abstract scaffold wow thanks for drawing that, infinitely better explanation 😄

tawdry lake
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This is the first language Discord server I came across from searching online for Spanish.
Do you guys reckon this has the largest "user base"? How do I see the total number of people in the server?

shrewd pendant
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In the channel list it says 12963 members

real imp
tawdry lake
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Oh it's right there, I see it now pikaFacepalm
I was looking on the members list trying to figure it out via the groups, lol.

median trail
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that's what pixel is for hahaha

real imp
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Lololol

median trail
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the only reason why pixel is still here

real imp
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Oh pixel does it?

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Dude

median trail
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yes

real imp
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Make pixel

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Dynamically change

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The size of channels

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So when music bots join

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They dont take a slot

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Its annoying

median trail
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you mean like moving music bots into the channels?

real imp
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Seeing channels for 5 people and having bots occupy one slot

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And not being able to join despite being only 4 real people in there

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Is annoying

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No, what I mean is

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When a music bot joins

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Channel size goes up one slot

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And when they leave

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They go back down one slot

median trail
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ahh

rain ermine
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@median trail how can I customize the layers of a super flat world in Minecraft?

median trail
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when you are about to create the world, there's a button that says something along the lines of "customize"

rain ermine
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Ok

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I see no add layer option

median trail
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hmm

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let me check

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give me a one second

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click customize

rain ermine
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Then what

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I see that but idk what to do next

sweet cape
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Yoo guys

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Does anybody watch TED videos?

fallow dock
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Yes, sometimes

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could someone with nitro drop some random custom emote please?

foggy flare
left frigate
fallow dock
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:BelfastDodge: :bearstab: :bearstab: :bearstab: :croccat:

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thanks

gusty ermine
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Azur laneeeeeee

austere rapids
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Im a complete beginner, how can I get started?

eager wagon
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... course

junior crystalBOT
austere rapids
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Ty

gusty ermine
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bro

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america is fuckin blessed

shrewd pendant
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jesus christ dude

rain ermine
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How I actually feel when someone insults me

hollow wedge
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God bless the States!

alpine cradle
copper fox
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@real imp hora de cambiarte la foto de perfil conyo

tulip monolith
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Hi

past harbor
echo mothBOT
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hello

alpine cradle
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lol

copper fox
eager wagon
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Pixel habla

still radish
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has it developed sentience?

echo mothBOT
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hola nil te kiero

still radish
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thonk @eager wagon you writing messages to yourself again?

eager wagon
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siempre

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me siento sola

still radish
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peepoCry al menos no es tan malo como epic y sus alts

rain ermine
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huh

still radish
#

nada epic no te preocupa

copper fox
rain ermine
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vale tío

eager wagon
vestal pine
real imp
#

@real imp hora de cambiarte la foto de perfil conyo
@copper fox why

sweet cape
#

👀

copper fox
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@real imp para parecerte a mi joder

real imp
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OH

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HAPPY BIRTHDAY DUDE

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Gimme a sec, I'll do it

sweet cape
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:bearstab:

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Why people don’t use dark mode, lol

real imp
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Most people do though

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Over 90%

still radish
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let me try light mode

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oh god its terrible

real imp
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@still radish you really get used to it after a day

eager wagon
still radish
#

@eager wagon utilisas modo de oscuro o claro?

real imp
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utilizas*

eager wagon
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oscuro

shell gulch
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I sent this to all discord servers that I know of

still radish
#

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ì

eager wagon
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@gusty ermine de dónde eres?

glass dragon
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@unborn wraith es común el uso de "mas" o es gusto tuyo?

exotic kiteBOT
unborn wraith
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@glass dragon Pero sobresale, mas eso no quiere decir que el uso de mas sea insólito. Tampoco lo hace el hecho de que sea gusto mío

glass dragon
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👍

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Oh

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I was replying to lag

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I don't know what you're doing

still radish
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dude you're confusing

unborn wraith
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🤔

severe vortex
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@junior thicket I agree that you can't tell which dialect people want to learn

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In that case just teach the most common one

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In the US that would be tu conjugations

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But I think if you had people learn vos as well, they would just end up mixing them up

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It's not that hard to learn argentine voseo anyway

junior thicket
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Yeah, you're right
It just bothers me that schools can easily not teach vos because it's indeed less used in the states and yet teach vosotros sometimes

gusty ermine
#

What do you guys think is better when speaking a foreign language:

  1. Sound like a native but are bad with grammar
  2. Have a slight accent that people will soon notice that you are not a native, but good with grammar and such

I actually heard that there was a girl who was was excellent in pronouncing German words that while she was in Germany, everybody thought she was a native but because she was not a native German, she would make basic mistakes and people thought she was mentally ill or such.

I heard someone else say that it is best to have a slight accent but fluent enough in that language that people will know that that language is not your native language and respect you for knowing that language. Since it's only slight accent, people will understand everything you say and treat you differently because having an accent is one of the biggest clues that your native language is something else.

bronze burrow
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I think the second one, because bad grammar makes difficult to understand

gentle tiger
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Second one would be better imo

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I just saw a video the other day of an English comedian who grew up in France and has the same problem in French. He makes basic mistakes but sounds native in French so people just think he's dumb whenever it happens

real imp
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What do you guys think is better when speaking a foreign language:

  1. Sound like a native but are bad with grammar
  2. Have a slight accent that people will soon notice that you are not a native, but good with grammar and such

I actually heard that there was a girl who was was excellent in pronouncing German words that while she was in Germany, everybody thought she was a native but because she was not a native German, she would make basic mistakes and people thought she was mentally ill or such.

I heard someone else say that it is best to have a slight accent but fluent enough in that language that people will know that that language is not your native language and respect you for knowing that language. Since it's only slight accent, people will understand everything you say and treat you differently because having an accent is one of the biggest clues that your native language is something else.
@gusty ermine my accent sucks ass, but people understands me

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And being understood both orally and literally is the sole purpose of learning any language

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Unless of course, it's sign language

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Then writing becomes kind of an issue

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And accents are not really something to worry about

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Anyway, people treat you very differently when you sound like a native

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And maybe that's important to you

gusty ermine
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Writing is a really good point. Thanks for your answers!

wise aurora
#

@gusty ermine kinda the same thing for me but not to the same extent. i pronounce certain words in english as if they were arabic and people think i can speak arabic, when in reality i literally jus started learning arabic today

gusty ermine
#

Haha Arabic's really cool! Accent is really interesting. People conclude many things by other's accent. Hope your arabic learning goes well! That language seems very complicated to me.

gusty ermine
#

The Spanish speaking Comp Sci community is so amazing

dire walrus
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Hello

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Can I ask a question?

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whats the reaction formula when

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Calcium hydroxide + water

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i forgot

real imp
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I kinda like it

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it's elegant and everything

hollow wedge
real imp
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yeah but i have to prove it as an equation

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that one is cool though

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actually I don't even have to prove it

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but makes no sense to just answer true or false lol

hollow wedge
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I think tickozzle's solution is good

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but the question is almost asking for the definition of a square root

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its interesting how it can be hard to explain the most obvious things

real imp
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is it obvious though

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my definition of squared root is "the opposite of squared x"

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which is not false

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but i doubt it's a real definition

hollow wedge
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I meant simple sorry

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I don't like the word obvious

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well, its a little bit lika saying "is 2*2/2 = 2"?

real imp
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yeah what i'd say in that case

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is that you are undoing the multiplication

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since they are opposites

real imp
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Ok so I have this big ass dilemma

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Multiplications are additions summed up

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e.g 2*4 = 2+2+2+2 = 8

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Divisions are the opposite of multiplications

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Therefore, Divisions are substractions summed up

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e.g 2/4 = 2-2-2-2 = -4

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which is clearly not true

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And there is obviously a failure in my logic, but I can not seem to work this out

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Ok so I think I figured it out

hollow wedge
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I mean, 2/2 is not 2-2

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but I see what you are getting at

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imma think about it

real imp
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makes even less sense now

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I mean, 2/2 is not 2-2
@hollow wedge nope, but z is not the result

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huh wait

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hol up

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it is the result

hollow wedge
#

I don't understand that picture at all

real imp
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that's a division

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there u go

hollow wedge
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yeah its about the number of subractions

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how division is the inverse of multiplication

median trail
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@real imp what are you trying to prove?

hollow wedge
#

I think he is trying to intuit

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you are sideways edsel

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:)

median trail
#

yes

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I like it that way uwu

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@real imp no, divisions are not substractions

real imp
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they are, though

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that's how we were taught them in elementary

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i just really can't remember how

hollow wedge
#

division is the number of subtractions

real imp
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ok

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guys

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i remembered

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the method i invented

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bc i never learned how to divide numbers with two digits

median trail
#

Aaah I see now

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I didn't know that

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thanks ticko

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12/4 = 3

12-4 = 8 - 4 = 4 - 4 = 0

shrewd pendant
#

bc i never learned how to divide numbers with two digits
@real imp you didn't learn that but you learned all these methods for factoring polynomials? 😛

median trail
#

and the amount of times you substracted by 4 is the result of the division

real imp
hollow wedge
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hahahaha nice

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its almost the thing I was taught

median trail
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I was never taugh that

hollow wedge
#

except you do a bunch of those steps at the same time

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its called long division

real imp
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i wasnt taught this

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evolve, adapt, overcome

hollow wedge
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what did you learn edsel?

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hahaha

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right

real imp
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the thing is

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my fucking 4th grade teacher let me pass the class

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with this method

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not cool sandra, not cool

hollow wedge
#

embrace, extend, extinguish

real imp
#

so -1 is the residual

hollow wedge
#

I think 15 is the residual

real imp
#

right right

hollow wedge
#

I mean, why did you stop at -1

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you could continue

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-17

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xd

shrewd pendant
#

holy crap I just realized what you are doing there lol

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you are just subtracting until you get to 0

median trail
#

ye

shrewd pendant
#

what if you had a really big number?

real imp
#

what if you had a really big number?
@shrewd pendant thats the thing

median trail
#

well that's why we don't divide numbers that one

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that way*

shrewd pendant
#

not that it's really relevant today anyway

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I'm not sure I could do long division if you asked me

hollow wedge
#

ticko is manually doing the "multiply" step

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using repeated subraction

median trail
#

stop turning upside down the division sign

hollow wedge
#

what? where?

fathom flame
#

the way of the gods

hollow wedge
#

edsel you are sideways, so you might just be seeing it all wrong xd

median trail
#

no u

hollow wedge
#

hahaha

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but what do you mean?

shrewd pendant
#

yeah wait what

real imp
#

division sign is like the nike logo

median trail
#

in Spanish speaking countries we write it upside down

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In some of them at least

real imp
#

in uruguay at least yeah

median trail
hollow wedge
#

oh that

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haha I see

fathom flame
#

5/0=π

real imp
#

what

hollow wedge
#

hahaha

real imp
#

no

hollow wedge
#

triggered

real imp
#

dont mess with my brain

#

ok

median trail
#

e=pi=3 g^2=9

shrewd pendant
#

that doesn't make sense to me

median trail
#

this is the fundamental theorem of engineering

real imp
#

if you floor enough

#

you get that pi=3

#

which defeats the purpose of pi

#

thats how it makes sense berban

hollow wedge
#

π/5 = 0rπ

shrewd pendant
#

oh no I was talking about something else

#

the shape of the bar

#

but actually I think your way makes more sense now that I think of it

#

the nike way

real imp
#

maybe that could be a way?

abstract scaffold
#

@median trail only for synthetic division do I write it upside down.

For regular division (short/long) or the regular method of polynomial long division, it's the right way up.

exotic kiteBOT
shrewd pendant
#

interesting

real imp
#

@abstract scaffold pls confirm

hollow wedge
#

but we said that before right? division is the number of subtractions

real imp
#

yes

hollow wedge
#

now you stacked it up vertically

shrewd pendant
#

estas dibujando con raton, tico?

real imp
#

but i wanted a way to draw it

#

estas dibujando con raton, tico?
@shrewd pendant yeah

shrewd pendant
#

😬

hollow wedge
#

yo dubjo con rata

real imp
#

don't have a drawing tablet

#

2xpensiv

shrewd pendant
#

pues eres bastante habil

real imp
#

i hate having to define it with multiplication

#

but its the smartest way i think

median trail
#

cool

real imp
median trail
#

Sometimes this stuff come off as trivial, but many important topics in more advanced mathematics can be understood by understanding the basics well

abstract scaffold
#

@real imp think again about sqrt(x^2) = x

#

=wolf graph sqrt(x^2)

rotund pawnBOT
median trail
#

for exampke gaussian elimination in linear algebra(a+c=b+d), derivatives(a ratio) and so on

abstract scaffold
#

if i understand correctly.

exercise 1: indicate if the following equations are true for all values of the variables x and y.

#

for all

median trail
#

yes

abstract scaffold
#

i'm going to assume we are only in real numbers.

median trail
#

yea

real imp
#

yes sir

abstract scaffold
#
  1. is trying to trick you basically.
green mica
#

Valor absoluto con eso

abstract scaffold
#

yes indeed. sqrt(x^2) = |x| for all x

#

@median trail well, thanks to your morphed picture of upside-down division. i've learnt new words {dividend, quotient, divisor, remainder}

median trail
real imp
#

wait guys

#

i did it wrong

#

ah no nvm

hollow wedge
#

why do people say substraction?

#

is it because of sustraer?

real imp
#

yes indeed. sqrt(x^2) = |x| for all x
@abstract scaffold holy shit ur right m8

hollow wedge
#

I've also heard danish people say it so idk

#

gaming whiteboard

#

I didn't notice that at first, nice one

median trail
#

ticko master race

real imp
#

cropped edition so you can't see me wearing socks and flip flops

abstract scaffold
#

but i liek thongs

real imp
#

don't we all

abstract scaffold
real imp
#

aren't thongs panties too

abstract scaffold
#

that's the thing, it depends on region.

eager wagon
#

thong

abstract scaffold
#

come over here, thongs are fine to say on the street.

"loads of people wear thongs around here around the beaches (well, now the beaches are closed basically)"

#

even signs say "no thongs", which mean "no flip-flops"

hollow wedge
#

why would you need those?

shrewd pendant
#

yeah my mom grew up in Japan and because of that we used to call them thongs

#

or zohrri (sp?) but you kind of have to call them flipflops otherwise people will give you the 🤨

real imp
#

why would you need those?
@hollow wedge swimsuit

hollow wedge
#

swimsuit?

#

I mean, where would you need a sign saying "no flip-flops"?

abstract scaffold
#

here, we can wear thongs in most places, it's our culture. Thus, we need signs in some buildings to remind us which buildings we are not allowed to wear thongs in.

hollow wedge
#

I see

abstract scaffold
#

It's mainly places like restaurants with club type restraurants or something like that where we can't.

hollow wedge
#

places that are whack

real imp
#

ah yeah same

#

it's a rule that you can't go to school wearing flip flops

real imp
#

is that correct or did i make a mess

abstract scaffold
#

to prove something is false, all you need to do is test values.

#

because if you find 1 value that's false, then it's false.

real imp
#

really

#

ahhh thats boring

#

i hate counter examples

abstract scaffold
#

yes. proving false is boring.

hollow wedge
#

P!=NP, BOOOOORING

#

jk

median trail
#

I forgot what counterexamples represent logically

abstract scaffold
#

but sometimes it's key. because there's something called "proof by mathematical induction", where people try to use it... and get stuck because they didn't realise the original statement was false.

real imp
#

I forgot what counterexamples represent logically
@median trail they represent that its false

exotic kiteBOT
real imp
#

Thank you tatsu

median trail
#

I think it's like P => Q <=> -P or Q if I recall correctly

#

so that a counter example is like proving P and -Q

#

I don't really remember 😛

#

no wait

#

ye -(P => Q) is P and -Q

#

but this is not a counter example

#

this is called counter [something]

#

like if P => Q is true then -(P=> Q) has to be false

#

but this is something different

#

so ignore me 😛

abstract scaffold
#

@real imp like for example. I have no idea how to "disprove" 2. sqrt(x^2+4) = |x| + 2 without counter-examples

#

actually, never mind. I could square both sides then go from there

#

but counter example is 100 times easier

old shell
#

do you have any specifics about my intonation? @grim lava i know I have trouble with it, but it was hard for me to determine how to say the text because there weren't any example Spanish recordings (besides a Chileno help )

grim lava
#

well its hard to give specifics, but i can tell you that at the end, you raised the pitch of "yo tampoco" and that sounds really weird whatthink. im trying to have a rioplatense accent but people always tell me my intonation sounds somewhat mexican

#

its hard for anyone to give specifics really unless you study this kind of stuff

#

ive asked myself how to have the correct intonation and it's hard for anyone to give specifics because it's influenced by how others speak subconsciously and just isn't a conscious thing for ppl

#

@old shell

old shell
#

i see ok

#

I raised my pitch because it was ending as a question, I think

grim lava
#

the question would just raise at "verdad"

agile sphinxBOT
#

youtube Searching 🔎 everything i wanted

#

Playing 🎶 Billie Eilish - everything i wanted - Now!

hollow wedge
#

When you say realidad the ea is a bit to slow and also in situación you say them a bit like as if there were an h between the vowels.
Do you have a more specific target accent than LATAM?
@old shell

#

#unsolicitedAdvice

old shell
#

no, I welcome the advice peepoyay probably a Mexican accent

hollow wedge
#

ok, what I find a bit hard about these texts is that you (one) are speaking in a way that you never really listen to

#

so the intonation is really hard to get

#

to train it I guess you have to listen to someone dictating a text

#

which I never do

old shell
#

right, usually the natives upload recordings of them reading in their native language

#

this time, only 1 from Enlgish and Spanish did

hollow wedge
#

yeah true

old shell
#

normally I would listen to a few and then record

hollow wedge
#

anyway everything is understandable

#

yeah that makes sense

old shell
#

thanks, I can tell I'm getting a little more advanced, so i've got to start really stressing the details

hollow wedge
#

qué rayos es esto?

vestal pine
median trail
copper fox
#

satanic chants

celest bay
#

dies irae dies illa

rain ermine
#

@median trail

#

So

#

In Minecraft is it possible to hold a torch in your left hand

#

And it will light up everything

severe vortex
#

it only lights things up if you have shaders installed

rain ermine
#

How can I get those

old shell
#

topics 11-20 talk about intonation

hollow wedge
#

interesting

#

good find

old shell
#

@hollow wedge did you listen to any of the audios? do you think this would be helpful to study?

hollow wedge
#

I'm listening to the linking one now

#

I think they are probably useful, at least if you go over them you might notice some of the patterns when listening to other speech

#

I've heard that imitating a native speaker can be a good idea. I think it's called shadowing.

#

You listen to a recording and repeat everything while you listen

#

@median trail are those the properties of a ring?

old shell
#

lol I was doing that just now, listening and repeating the Peruvian

hollow wedge
#

the Peruvian?

#

whomsth?

old shell
#

in the audios, they have a Spaniard and Peruvian say the words/phrases

median trail
#

@hollow wedge no

hollow wedge
#

Hmm, a group then?

#

looks like the properties of a ring

median trail
#

Kinda? those are the properties of a vector space

hollow wedge
#

ah I see

#

then we are talking about the same thing, just with different terminology

median trail
#

now I get why gaussian elimination works

#

it's like something you can get the grasp of really quick but it's not something I would have invented myself lol

hollow wedge
#

Mr. Gauss was a pretty ingenious guy

#

||he was also a bit of an asshole||

old shell
#

the information question intonation

hollow wedge
#

the linking one is very good

#

I've never seen that articulated before

#

excelente!

old shell
#

the guy says to have a falling pitch on information questions, but the audios are all rising?

hollow wedge
#

you mean the first one?

#

haha yeah

#

I noticed

old shell
#

is this incorrect?

hollow wedge
#

it falls but then it rises

#

yeah

#

sounds natural to me

old shell
#

so fall then rise is ok?

#

do you hear just falling more often?

hollow wedge
old shell
#

right, that's what i was thinking

#

can it be just falling too?

hollow wedge
#

I think it can be just rising. hmm

#

yeah, I can't picture just falling

#

do you have an example sentence in mind?

old shell
#

hmm one sec

#

I found this site too, go to the information question section

#

the dondé está el restaurante

hollow wedge
#

the first one sounds unusual to me

#

maybe not. I guess since you have dónde esta its pretty clear that its a question

#

so you can be more flexible

old shell
hollow wedge
#

yeah do that

shrewd pendant
#

Those are some strange looking coronavirus graphs

hollow wedge
#

I mean, I would understand it as a question, ofc I'm not a native

#

these things also change with accent

#

hard knock life

#

yeah the coronavirus is not a spanish question i guess

sweet cape
#

Hablamelos

sweet cape
#

Any tips to look as English native

#

😀

shrewd pendant
#

Look? Or sound?

gusty ermine
#

spaniards would say to wear socks with sandals.

sweet cape
#

Sound works

abstract scaffold
#

me ayudó cuando estaba en la escuelita primaria

sweet cape
#

Es el método más usado cuando enseñan en la primaria las metodologías para dividir números

abstract scaffold
#

Esta variante es la comúnmente utilizada en Estados Unidos. En ella se anotan las multiplicaciones sucesivas. pues supongo que panama tenga mucha influencia de los estados unidos

sweet cape
#

En Colombia es una de las más usadas en la primaria.

abstract scaffold
cloud drift
#

Doctor

#

👀

sweet cape
#

Nosotros cambiariamos la barra pero envés de encima, sería por debajo y hacía el divisor

pine summit
#

Y’all really doing long division in here

abstract scaffold
pine summit
#

Jail

sweet cape
#

Yep, we do like this

abstract scaffold
#

seems like most spanish countries do it like this, but wanted to confirm that my mum doesn't do it like this

#

but it seems panama has a lot of influence from the US

sweet cape
#

Did you grow up in panama?

abstract scaffold
#

they say their currency is "the balboa" but the notes are just US dollars.

no, I've been to panama twice.

sweet cape
#

It seems like US, but i’m not sure

abstract scaffold
#

pero las dos veces, no podia hablar bien. solo era jovencito

#

habia language barriers

sweet cape
#

Ahh ok, claro

#

Pero a lo que voy es que he visto que en Estados Unidos desarrollan esa división

#

Inclusive a veces hacemos las operaciones como las que hiciste

#

I’ve seen another like

#

But that’s uncommon, they do it like imitating US rule

gusty ermine
#

odio a los estadounidenses (aunque soy uno... quizás es por eso)

eager wagon
#

Solía hacer eso en la escuela, Juan

#

bueno, casi

#

había cosas en la parte de la izquierda también

real imp
#

I don't know what to even do

fathom flame
#

@shrewd pendant @shrewd pendant @shrewd pendant HELPP

#

1+x≠0

#

@shrewd pendant HEEEELP

real imp
#

oh so like

#

you only use properties

rain ermine
#

vers what

real imp
#

and you don't have to solve it or

fathom flame
#

chemistry

rain ermine
#

xd

real imp
#

yeah ok but how do you prove it can't be more than 0?

fathom flame
rain ermine
#

no

fathom flame
#

@shrewd pendant HELPPP

gusty ermine
#

Vers did it well

fathom flame
#

@shrewd pendant HELPPP

#

@shrewd pendant GASNOGSAHIOFGASKJLADNKHASG

rain ermine
#

just wait verz

gusty ermine
#

(-∞ - 1) U [2, +∞ )

fathom flame
#

ya this is the form: x < -1 or x ≥ 2

gusty ermine
#

that's it, any number from -∞ to - 1 and from 2 to ∞ is less than 0

median trail
gusty ermine
#

your writing omg

real imp
#

ahhh that makes sense

#

thank uu

fathom flame
#

berban peepoCry

median trail
#

is my writting that bad

eager wagon
#

It's beautiful, Edselito

median trail
#

peepohappy thank youwu

shrewd pendant
#

@fathom flame what's up

fathom flame
#

@shrewd pendant can i dm u? smugCat

shrewd pendant
#

sure

real imp
median trail
#

yes

keen halo
#

damn we got language AND math here

#

I could go to the university of discord

median trail
#

this is the place where I can be myself and not be judged

hollow wedge
median trail
#

peepocry it's true

abstract scaffold
#

@real imp make that / more like a | or :

#

| or : means "such that"

#

/ technically isn't correct.

real imp
#

uhh what

#

i've always seen professors write /

sweet cape
#

I think that maths would have his own channel wolfidk

real imp
#

why?

abstract scaffold
#

@real imp another way to approach this inequality

#

-1 not includedlol

median trail
#

I'm not that advanced sir

abstract scaffold
#

i made a mistake

#

i drew it correctly, wrote it wrong

smoky comet
#

We were solving such problems differently...

median trail
#

he's a mathematician, so I expect these kinds of unexpected ways of solving problems hahah

smoky comet
#

I mean there is nothing wrong with his way since it gives the same answer...

median trail
#

I didn't say it was wrong

#

I said the way he solved it was pretty unexpected to me at least

#

I would have never imagined I could have done this

smoky comet
#

😅

abstract scaffold
smoky comet
#

🤔

abstract scaffold
#

the question didn't ask to graph necessarily, asi que no necesita dibujarlo perfectamente. only a sketch is needed to get an idea and your final solution.

real imp
#

"to just draw"

#

bruh

#

how do i even know what to graph

abstract scaffold
#

drawing it is basically doing the "critcal points method" but the critical points methods is good for when you have no idea what the graph looks like.

real imp
#

also what do mathematicians work as

#

out of curiosity

abstract scaffold
#

depends.

real imp
#

@fathom flame
@median trail hey edsel, how do u know what sign to use

median trail
#

what do you mean

fathom flame
#

(-)(+)(-)?

median trail
#

ahhh

real imp
#

ya

fathom flame
#

@rain ermine explain it

smoky comet
#

We wasn't drawing the gráfic, just scheme...

median trail
#

the equation is less or equal to zero

smoky comet
#

There is minus before x.

real imp
#

We wasn't drawing the gráfic, just scheme...
@smoky comet yeah but idk how to do so

#

like what points to take

smoky comet
#

Take zeros of function...

abstract scaffold
#

@real imp when numerator = 0 and denominator = 0 are your critical points

so at either end of each critical point you have regions you have to test

median trail
#

I chose the negative solutions because the inequation is less or equal to zero

#

so I'm only interested in negative solutions

abstract scaffold
#

test any values left of -1, in between -1 and 2, and right of 2.

smoky comet
#

If it is equal to zero then it wan't be unequation.

sweet cape
#

I’m enjoying this! Awesome!

median trail
#

whom does this question belong to

abstract scaffold
#

what also gets difficult is to explain when to include something and when to exclude something.

median trail
#

why

sweet cape
#

Why?

#

I mean, did you do that with limit method?

median trail
#

limit method?

sweet cape
#

When lim x->-1

median trail
#

but why would you do this

sweet cape
#

When he graphs it i can see some points really close to limit method

abstract scaffold
#

i just used intuition to see where it will go.

#

roughly did limits but not fully. mainly just intuition

sweet cape
#

Ohh i gotcha

#

Yeah, that’s the reason that i just did it like intuition when i saw the grapic

median trail
sweet cape
#

What’s wrong?

#

Well, i see that it is a fraction and then it has zeros, i’d imagine that i can solve it while i’m using limit method

abstract scaffold
#

yeah, the more legit way to graph it is to use limits

sweet cape
#

And then just mix the answer with the constraints

abstract scaffold
#

and if i wanted a more perfect graph, i probably needed calculus to find stationary points (if any existed) or any points of inflexion

sweet cape
#

Yeah, that’s right

abstract scaffold
sweet cape
#

Yeah, it’s called “la ley del cementerio”

abstract scaffold
#

i shouldv'e written x<=-3, including -3

#

anyways. me voy a dormir

sweet cape
#

That’s ok!

#

Que vaya bien parcero!

#

If i listen to country, could i be so close to americans?

median trail
#

If I listen to*

sweet cape
#

Podría estar cerca de ser americano

median trail
#

ah

sweet cape
#

Get close sounds weird

gusty ermine
#

Can someone help me to find a website to graph these?

unreal pagoda
#

like that?

#

or is it asking you to use the grid on the paper

gusty ermine
#

Not the grid paper, hope not

unreal pagoda
#

there is a grid on that image

#

i think they want you to use that grid

#

but desmos is website that can plot points and make graphs using equations and functions

gusty ermine
#

Thank you! Appreciate it.

#

Is someone good with anatomy and physiology? I am really struggling with things about heart and such.

glass dragon
#

@crystal kraken @gusty ermine drew them for us

#

I'm sure he'll make you one, too

crystal kraken
#

Ohhh

median trail
#

My programming logic class is basically learning POO and virtual interfaces in Java

#

😛

#

I probably messed it up in the linear algebra one

#

but

#

peepohide at least this is starting well

fallow dock
#

what's a "virtual" interface?

median trail
#

I don't know

#

I will find out next week

#

omg I'm so scared for my grade on the linear algebra midterm

fallow dock
#

you seem to be acing everything though?

median trail
#

nah I fucked this one up

#

like I got stressed out for no reason

#

and 🤷‍♂️

#

but I'm gonna make sure I ace the next three quizzes because I literally got only A's on all the linear algebra tests before the midterm

#

I also hope my teacher helps me like she knows I'm a good student, and if something like this happens it's totally not normal lol

fallow dock
#

did you know Python supports complex numbers natively?

#

I don't even know what they are, I don't do math (?)

# 
>>> 2j + 5j
7j```but yeah
median trail
#

oh wait what the fuck

#

that's freaking awesome

#

let me try something

#

the j should be an i I think

#

but

#

who cares

fallow dock
#

Guido didn't like it because it could look like a digit in some fonts

#

so they chose a j

#

you can type it as an uppercase J, in fact

# 
>>> print(n:=2J+1 ** 2, 'Real:', n.real, 'Imaginary:',  n.imag)
(1+2j) Real: 1.0 Imaginary: 2.0```epic
# 
>>> print(n:=(2J+1) ** 2, 'Real:', n.real, 'Imaginary:',  n.imag)
(-3+4j) Real: -3.0 Imaginary: 4.0```
#

I do remember something about them because I read that Stephen Hawking's book...

#

you could also check out the cmath module if you want to play around with them

# 
>>> from cmath import sin as csin
>>> csin(5)
(-0.9589242746631385+0j)
>>> csin(5j)
74.20321057778875j```
cursive wave
#

WTH is POO? @median trail

#

is that the spanish version of OOP?

fallow dock
#

ye

cursive wave
#

ahhh nice kappa

fallow dock
#

I guess it doesn't sound any good like that lol

cursive wave
#

haha indeed

#

also thanks for telling me about the native support for imaginary numbers

#

thats cool stuff

#

do you do a lot of python programming?

fallow dock
#

Not right now

#

I'm a mod in Python Discord

cursive wave
#

oh wait the big one?

fallow dock
#

yes

cursive wave
#

ahh nic

fallow dock
#

so I used to do things there

cursive wave
#

yea i see we share that server lol

fallow dock
#

and also personal for college

#

but I haven't done anything in months

cursive wave
#

ohh thats too bad

#

yea i use python daily for the research team that i am a part of

#

I get tasked with writing all the scripts that they need

fallow dock
#

automation or something like that?

cursive wave
#

no i do computational linguistics

#

so we do a lot of natural language processing

fallow dock
#

like with NLP?

cursive wave
#

yea

fallow dock
#

neato

cursive wave
#

thats what my degree is all about 😄

#

its really cool

median trail
coarse arch
#

yeah that guy is pretty cool

#

his videos are interesting

sweet cape
#

I was interested about some business/administration server on discord, but i think that it’d enough

abstract scaffold
#

eddie woo. high school teacher in NSW Australia. Used to teach at James Ruse (where he himself went to high school) but is now head teacher of maths at Cherrybrook.

abstract scaffold
#

@median trail in engineering, se usa la "j" para el sqrt(-1)

#

electrical engineers

#

because they think about it as vector

past harbor
#

sqrt es raíz (femenina)

abstract scaffold
#

a vector in the unit vector "i" component {real part}
a vector in the unit vector "j" component {imaginary part}

#

cheers.

#

la raíz cuadrada de menos uno (?

past harbor
#

Eso es

#

Deberías intentar explicar las matemáticas en español, se te daría muy bien

gusty ermine
real imp
#

sqrt es raíz cuadrada
sq > square
rt > root
sqrt > square root

still radish
#

sí

#

the roots of a function are the values of the variable that cause the function to evaluate to zero

real imp
#

square meaning there can be up to two

#

because it's x^2 = x . x

past harbor
#

yo digo

#

raíz

#

no raíz cuadrada

#

haz la raíz de x

#

quizas sea diferente en otros paises

real imp
#

Puede ser raíz cúbica

#

Raíz cuarta, quinta, sexta

#

Es ambiguo decir raíz solamente

unreal pagoda
#

Hola Tick-uh-la-la

real imp
#

Holas

unreal pagoda
#

Are you working from home

real imp
#

Yes m'am

unreal pagoda
#

Wow how fun

real imp
#

I mean yeah

#

I dont have to commute

unreal pagoda
real imp
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Its an hour long bus ride

#

💩

unreal pagoda
#

:o

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Gross

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With people

real imp
#

Yeah

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I mean I shift in pretty early

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But still there are people

unreal pagoda
#

Same

#

Tienes llamar la gente (?) para arreglar los problemas IT?

real imp
#

Nope

#

I get called and I fix them

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I work as level 2 support, not helpdesk

unreal pagoda
#

A tu móvil personal??

real imp
#

Nooo my email lol

#

Well actually

unreal pagoda
#

OH

real imp
#

They do whatsapp me sometimes

unreal pagoda
real imp
#

But we do have a tickets service

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So we grab tasks off there

unreal pagoda
#

Right right

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Mi compañía tiene el mismo servicio , con tickets (which tickets do I use??)

vital ginkgo
#

*Mi compañía tiene el mismo servicio, con tickets

unreal pagoda
#

Oops gracias

still radish
#

todavia tengo que trabajar y nadie respeta la distancia social

unreal pagoda
#

@still radish !

still radish
#

hola Pixie

#

cómo te andas?

unreal pagoda
#

Tan distracted

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No puedo centrarse en mi trabajo. Tengo demasiado trabajo hoy

#

Todavía la lista solo crece (?).

still radish
#

una mierda. Ya sé este sentimiento

#

la realidad es que paré me importa si la lista solo crece

ocean otter
#

Anyone here got a amd gpu?

#

I'm having trouble with mine and I want to see if its just me or most of amd users

eager wagon
#

nvidia peepohide