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int64
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5.45M
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
244129917732651008
Lloyd Garcia
01/30/2022 11:54:48
1/2s of 5/5s results in 1/2s^2 which is useless in this context
0
1
nan
nan
nan
nan
5,447,451
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
244129917732651008
Lloyd Garcia
01/30/2022 11:54:52
yea
0
1
nan
nan
nan
nan
5,447,452
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
244129917732651008
Lloyd Garcia
01/30/2022 11:54:57
that's right
0
1
nan
nan
nan
nan
5,447,453
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 11:55:44
so 1/5 + 6 is 1/5 + 30/5
1
0
nan
nan
nan
nan
5,447,454
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
220517274845577216
Lena Jones
01/30/2022 11:55:56
whut
0
1
nan
nan
nan
nan
5,447,455
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
220517274845577216
Lena Jones
01/30/2022 11:56:21
i mean yes... that's true but meaningless for the problem
0
1
nan
nan
nan
nan
5,447,456
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 11:56:34
oh wait times 5
1
0
nan
nan
nan
nan
5,447,457
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
244129917732651008
Lloyd Garcia
01/30/2022 11:56:34
1/5*s *
0
1
nan
nan
nan
nan
5,447,458
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
244129917732651008
Lloyd Garcia
01/30/2022 11:56:54
but what you're trying to do is.. pointless isolate your variable
0
1
nan
nan
nan
nan
5,447,459
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
244129917732651008
Lloyd Garcia
01/30/2022 11:56:56
solve for s
0
1
nan
nan
nan
nan
5,447,460
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 11:57:07
1/2s - 6 = 1/5s * 5
1
0
nan
nan
nan
nan
5,447,461
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
662354986155638814
Sydney Harris
01/30/2022 11:58:07
indeed
0
1
nan
nan
nan
nan
5,447,462
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
220517274845577216
Lena Jones
01/30/2022 11:58:25
no
0
1
nan
nan
nan
nan
5,447,463
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
220517274845577216
Lena Jones
01/30/2022 11:58:40
why are you only multiplying the right side of the equation by 5
0
1
nan
nan
nan
nan
5,447,464
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 11:58:50
yeah that's pointless, I could have just multiplied 1/2s by 2
1
0
nan
nan
nan
nan
5,447,465
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 11:59:13
and the right side
1
0
nan
nan
nan
nan
5,447,466
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:00:35
25 = 2/5s + 30
1
0
nan
nan
nan
nan
5,447,467
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:01:01
right?
1
0
nan
nan
nan
nan
5,447,468
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
244129917732651008
Lloyd Garcia
01/30/2022 12:01:29
i think I lost you
0
1
nan
nan
nan
nan
5,447,469
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
244129917732651008
Lloyd Garcia
01/30/2022 12:01:55
when isolating for s it's pointless moving the constant to LHS
0
1
nan
nan
nan
nan
5,447,470
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:02:13
but is this correct?
1
0
nan
nan
nan
nan
5,447,471
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
244129917732651008
Lloyd Garcia
01/30/2022 12:02:43
Not really..
0
1
nan
nan
nan
nan
5,447,472
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
244129917732651008
Lloyd Garcia
01/30/2022 12:02:52
I actually don't understand how you got there
0
1
nan
nan
nan
nan
5,447,473
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
220517274845577216
Lena Jones
01/30/2022 12:03:02
is wrong
0
1
nan
nan
nan
nan
5,447,474
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
244129917732651008
Lloyd Garcia
01/30/2022 12:03:06
you multiplied 1/5 by two? 6 by 5?
0
1
nan
nan
nan
nan
5,447,475
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:03:06
wth how did I get 2s
1
0
nan
nan
nan
nan
5,447,476
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
244129917732651008
Lloyd Garcia
01/30/2022 12:03:12
your 1/2s became 25?
0
1
nan
nan
nan
nan
5,447,477
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:03:16
it should be just s
1
0
nan
nan
nan
nan
5,447,478
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
220517274845577216
Lena Jones
01/30/2022 12:03:21
are you doing this on paper?
0
1
nan
nan
nan
nan
5,447,479
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
220517274845577216
Lena Jones
01/30/2022 12:03:41
and/or writing your work
0
1
nan
nan
nan
nan
5,447,480
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:04:04
s = 2/5s + 12
1
0
nan
nan
nan
nan
5,447,481
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:04:22
yes
1
0
nan
nan
nan
nan
5,447,482
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
220517274845577216
Lena Jones
01/30/2022 12:04:39
this is currently ok
0
1
nan
nan
nan
nan
5,447,483
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:05:07
s-1/5s = 6
1
0
nan
nan
nan
nan
5,447,484
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
220517274845577216
Lena Jones
01/30/2022 12:05:28
is wrong
0
1
nan
nan
nan
nan
5,447,485
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
220517274845577216
Lena Jones
01/30/2022 12:06:34
clearly describe exactly what you did to get from > s = 2/5s + 12 to > s-1/5s = 6
0
1
nan
nan
nan
nan
5,447,486
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:06:53
1 is a typo
1
0
nan
nan
nan
nan
5,447,487
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:07:09
and 6
1
0
nan
nan
nan
nan
5,447,488
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:07:13
wtf
1
0
nan
nan
nan
nan
5,447,489
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:07:23
s-2/5s = 12
1
0
nan
nan
nan
nan
5,447,490
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:07:34
times 5 both sides
1
0
nan
nan
nan
nan
5,447,491
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
244129917732651008
Lloyd Garcia
01/30/2022 12:07:52
yea
0
1
nan
nan
nan
nan
5,447,492
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:10:35
s - 2s =60
1
0
nan
nan
nan
nan
5,447,493
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
220517274845577216
Lena Jones
01/30/2022 12:11:02
no
0
1
nan
nan
nan
nan
5,447,494
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:11:24
my s looks like 5 shouldn't have used s
1
0
nan
nan
nan
nan
5,447,495
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
220517274845577216
Lena Jones
01/30/2022 12:11:49
should've just used V for volume
0
1
nan
nan
nan
nan
5,447,496
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:12:02
5x-2x=60
1
0
nan
nan
nan
nan
5,447,497
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:12:09
x=20
1
0
nan
nan
nan
nan
5,447,498
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:12:11
finally
1
0
nan
nan
nan
nan
5,447,499
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:12:38
alright
1
0
nan
nan
nan
nan
5,447,500
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:12:42
thanks
1
0
277133612812468224
Harold Davis
Harold Davis
False
5,447,501
205,771
help-1
076a99ed2ff04e71819790b8972bee6d
898441976142237776
Harper Flores
01/30/2022 12:12:46
.close
1
0
nan
nan
nan
nan
5,447,502
205,772
help-1
27761569b7784cc583c53316b51231d9
382568504936759308
Nathaniel Gonzalez
01/30/2022 12:15:51
any tips for the following problem?
https://cdn.discordapp.c…0396/unknown.png
unknown.png
1
0
nan
nan
nan
nan
5,447,503
205,772
help-1
27761569b7784cc583c53316b51231d9
382568504936759308
Nathaniel Gonzalez
01/30/2022 12:16:34
Sorry, I mean 6.2
1
0
nan
nan
nan
nan
5,447,504
205,772
help-1
27761569b7784cc583c53316b51231d9
382568504936759308
Nathaniel Gonzalez
01/30/2022 12:16:39
I did 6.1 already.
1
0
nan
nan
nan
nan
5,447,505
205,772
help-1
27761569b7784cc583c53316b51231d9
382568504936759308
Nathaniel Gonzalez
01/30/2022 12:18:15
So for this, I would be tasked to find the affine basis of $H_1 = {v \in \mathbb{R}^3 : \mathbb{L}(v) = 1} $
1
0
nan
nan
nan
nan
5,447,506
205,772
help-1
27761569b7784cc583c53316b51231d9
382568504936759308
Nathaniel Gonzalez
01/30/2022 12:18:25
I see that it's probably related to the first problem but I don't know how to convert
1
0
nan
nan
nan
nan
5,447,507
205,772
help-1
27761569b7784cc583c53316b51231d9
321445119171756033
Bryce Martinez
01/30/2022 12:19:02
https://i.imgur.com/NkxFS3L.png
0
1
nan
nan
nan
nan
5,447,508
205,772
help-1
27761569b7784cc583c53316b51231d9
321445119171756033
Bryce Martinez
01/30/2022 12:19:08
does this help?
0
1
nan
nan
nan
nan
5,447,509
205,772
help-1
27761569b7784cc583c53316b51231d9
382568504936759308
Nathaniel Gonzalez
01/30/2022 12:19:27
Yes thanks
1
0
nan
nan
nan
nan
5,447,510
205,773
help-1
aefb5c2f69bb450facc9a16c4108c976
667127638065676289
Jaime Harris
01/30/2022 12:57:38
https://cdn.discordapp.c…9508/unknown.png
unknown.png
1
0
nan
nan
nan
nan
5,447,511
205,773
help-1
aefb5c2f69bb450facc9a16c4108c976
667127638065676289
Jaime Harris
01/30/2022 12:57:48
is the conclusion correct?
1
0
nan
nan
nan
nan
5,447,512
205,773
help-1
aefb5c2f69bb450facc9a16c4108c976
321445119171756033
Bryce Martinez
01/30/2022 12:58:12
check with graph?
0
1
nan
nan
nan
nan
5,447,513
205,773
help-1
aefb5c2f69bb450facc9a16c4108c976
667127638065676289
Jaime Harris
01/30/2022 12:58:25
i meant
1
0
nan
nan
nan
nan
5,447,514
205,773
help-1
aefb5c2f69bb450facc9a16c4108c976
667127638065676289
Jaime Harris
01/30/2022 12:58:29
is the technique correct xd
1
0
nan
nan
nan
nan
5,447,515
205,773
help-1
aefb5c2f69bb450facc9a16c4108c976
667127638065676289
Jaime Harris
01/30/2022 12:58:38
bc it could have been a coincidence
1
0
nan
nan
nan
nan
5,447,516
205,773
help-1
aefb5c2f69bb450facc9a16c4108c976
667127638065676289
Jaime Harris
01/30/2022 13:01:21
.close
1
0
nan
nan
nan
nan
5,447,517
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:14:37
How can I verify that $x_{k+1} <= b$ when it very well could be that $x_{k} = b$ making $x_{k+1}$ larger than b?
https://cdn.discordapp.c…282/IMG_0962.jpg
IMG_0962.jpg
1
0
nan
nan
nan
nan
5,447,518
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
706934233012371577
Darius Clark
01/30/2022 13:16:03
Is it $a(k+1) \leq x_1 + x_2 + \ldots + x_{k+1} \leq b(k+1)$?
0
1
nan
nan
nan
nan
5,447,519
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
706934233012371577
Darius Clark
01/30/2022 13:16:12
Is that "a" or is that a 2?
0
1
nan
nan
nan
nan
5,447,520
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:16:28
“a”sorry bad handwriting
1
0
277133612812468224
Harold Davis
Harold Davis
False
5,447,521
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
706934233012371577
Darius Clark
01/30/2022 13:17:41
mhmm. I'd like to have some context here because I've zero info on what $a, x_i, b$ or your induction hypothesis $P(k)$ is
0
1
nan
nan
nan
nan
5,447,522
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
706934233012371577
Darius Clark
01/30/2022 13:17:52
Can you send the question you were working up on?
0
1
nan
nan
nan
nan
5,447,523
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:17:56
Yes
1
0
nan
nan
nan
nan
5,447,524
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:18:29
https://cdn.discordapp.c…690/IMG_0960.jpg
IMG_0960.jpg
1
0
nan
nan
nan
nan
5,447,525
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:18:54
I’m using the hint
1
0
277133612812468224
Harold Davis
Harold Davis
False
5,447,526
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
706934233012371577
Darius Clark
01/30/2022 13:19:03
Yep now the thing is
0
1
nan
nan
nan
nan
5,447,527
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
706934233012371577
Darius Clark
01/30/2022 13:19:46
the way $x_1, x_2, x_3, ..., x_n$ were defined, they have to be in the interval $[a, b]$ and so, by their definition, $a \leq x_{n+1} \leq b$
0
1
nan
nan
nan
nan
5,447,528
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:20:06
Uh
1
0
nan
nan
nan
nan
5,447,529
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
706934233012371577
Darius Clark
01/30/2022 13:20:38
Doesn't that answer your question as to why $x_{k+1}$ can't be $> b$?
0
1
nan
nan
nan
nan
5,447,530
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:20:57
Yes it’s my question but I don’t understand
1
0
nan
nan
nan
nan
5,447,531
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
706934233012371577
Darius Clark
01/30/2022 13:21:33
You picked the number from the interval right? And the greatest possible number in the interval is b..
0
1
nan
nan
nan
nan
5,447,532
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
706934233012371577
Darius Clark
01/30/2022 13:21:46
so how can this number be > b if it's inside the interval?
0
1
nan
nan
nan
nan
5,447,533
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
334482942506041345
Mason Hernandez
01/30/2022 13:22:00
Nothing in the definition of $x_i$ says they're increasing. It wouldn't matter if $x_n=b$, that doesn't have any affect on the value of $x_{n+1}$
0
1
277133612812468224
Harold Davis
Harold Davis
False
5,447,534
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
706934233012371577
Darius Clark
01/30/2022 13:22:16
:this:
0
1
nan
nan
nan
nan
5,447,535
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:22:38
Woh
1
0
nan
nan
nan
nan
5,447,536
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:22:50
This is confusing but that’s new to me
1
0
nan
nan
nan
nan
5,447,537
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
706934233012371577
Darius Clark
01/30/2022 13:23:04
not confusing really, you just didn't expect this to happen probably
0
1
nan
nan
nan
nan
5,447,538
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:23:48
I still don’t get how we can be sure it isn’t greater than b
1
0
nan
nan
nan
nan
5,447,539
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
706934233012371577
Darius Clark
01/30/2022 13:23:50
I like the way the question was printed, is it some olympiad q paper?
0
1
nan
nan
nan
nan
5,447,540
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:23:56
No no
1
0
nan
nan
nan
nan
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help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:24:03
I’m retaking advanced calc
1
0
nan
nan
nan
nan
5,447,542
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:24:06
For curiosity
1
0
nan
nan
nan
nan
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help-1
e6b7047964d64ddca0aeb7c5ffb478f8
706934233012371577
Darius Clark
01/30/2022 13:24:24
okay so.. suppose you have the interval [4, 6] and you pick 1000s of numbers in this interval
0
1
nan
nan
nan
nan
5,447,544
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help-1
e6b7047964d64ddca0aeb7c5ffb478f8
706934233012371577
Darius Clark
01/30/2022 13:24:29
would any of them exceed 6?
0
1
nan
nan
nan
nan
5,447,545
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:24:44
No
1
0
nan
nan
nan
nan
5,447,546
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:24:46
But
1
0
nan
nan
nan
nan
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help-1
e6b7047964d64ddca0aeb7c5ffb478f8
706934233012371577
Darius Clark
01/30/2022 13:24:49
but?
0
1
nan
nan
nan
nan
5,447,548
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:24:55
When we’re doing induction
1
0
nan
nan
nan
nan
5,447,549
205,774
help-1
e6b7047964d64ddca0aeb7c5ffb478f8
456226577798135808
Don Thomas
01/30/2022 13:25:02
We added a new number
1
0
nan
nan
nan
nan
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