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help-10
316dba9be0814f8a934ddaf41a2cc625
321,445,119,171,756,000
Shuri2060
01/19/2022 15:12:38
a*b they mean
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help-10
316dba9be0814f8a934ddaf41a2cc625
265,853,506,664,136,700
ScapeProf
01/19/2022 15:12:46
So where did what you write come from?
0
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help-10
316dba9be0814f8a934ddaf41a2cc625
321,445,119,171,756,000
Shuri2060
01/19/2022 15:12:47
youve applied log rules incorrectly
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help-10
316dba9be0814f8a934ddaf41a2cc625
265,853,506,664,136,700
ScapeProf
01/19/2022 15:12:56
No I mean a^b
0
1
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help-10
316dba9be0814f8a934ddaf41a2cc625
321,445,119,171,756,000
Shuri2060
01/19/2022 15:13:05
oh that too
0
1
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help-10
316dba9be0814f8a934ddaf41a2cc625
321,445,119,171,756,000
Shuri2060
01/19/2022 15:13:05
god
0
1
null
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null
null
163
help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:13:14
eeeeeeh
1
0
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null
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null
null
163
help-10
316dba9be0814f8a934ddaf41a2cc625
265,853,506,664,136,700
ScapeProf
01/19/2022 15:13:30
a is everything inside the parenthesis
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help-10
316dba9be0814f8a934ddaf41a2cc625
265,853,506,664,136,700
ScapeProf
01/19/2022 15:13:32
b is n
0
1
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null
163
help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:13:42
oh ock
1
0
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null
163
help-10
316dba9be0814f8a934ddaf41a2cc625
265,853,506,664,136,700
ScapeProf
01/19/2022 15:13:43
It gives this, like you said
0
1
692,437,967,121,285,100
Yohduh
0191
Yohduh
false
163
help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:13:49
oki
1
0
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null
null
null
null
163
help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:14:14
so log(nthsqrt(x)) != (1/n) * log(x)?
1
0
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help-10
316dba9be0814f8a934ddaf41a2cc625
265,853,506,664,136,700
ScapeProf
01/19/2022 15:14:48
What?
0
1
692,437,967,121,285,100
Yohduh
0191
Yohduh
false
163
help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:14:53
eeeeeh
1
0
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null
null
null
163
help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:15:16
like dis uwu
https://cdn.discordapp.c…thmus_Regeln.png
Screenshot_2022-01-19_at_21-15-03_Logarithmus_Regeln.png
1
0
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163
help-10
316dba9be0814f8a934ddaf41a2cc625
265,853,506,664,136,700
ScapeProf
01/19/2022 15:15:25
That is not what you have
0
1
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help-10
316dba9be0814f8a934ddaf41a2cc625
265,853,506,664,136,700
ScapeProf
01/19/2022 15:15:34
Reread your expression (and review log laws)
0
1
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help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:15:54
ock 😦
1
0
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null
163
help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:18:07
haha this must be it ewe
https://cdn.discordapp.c…Probeprufung.png
Probeprufung.png
1
0
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163
help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:18:20
with the n on the root
1
0
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help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:18:51
but it looks even scarier now
1
0
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help-10
316dba9be0814f8a934ddaf41a2cc625
321,445,119,171,756,000
Shuri2060
01/19/2022 15:18:58
look.
0
1
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help-10
316dba9be0814f8a934ddaf41a2cc625
321,445,119,171,756,000
Shuri2060
01/19/2022 15:19:10
You keep applying log laws incorrectly
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1
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help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:19:11
*looks at neko ears
1
0
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163
help-10
316dba9be0814f8a934ddaf41a2cc625
321,445,119,171,756,000
Shuri2060
01/19/2022 15:19:29
Youre taking the log of the entire left hand side term
0
1
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help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:19:47
aaaah
1
0
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help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:20:36
and uuh
1
0
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help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:20:38
now we uuuh
1
0
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help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:26:06
ok now this uuh
https://cdn.discordapp.c…84388/image0.png
image0.png
1
0
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help-10
316dba9be0814f8a934ddaf41a2cc625
265,853,506,664,136,700
ScapeProf
01/19/2022 15:30:44
Don’t assume what you want to prove
0
1
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help-10
316dba9be0814f8a934ddaf41a2cc625
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ScapeProf
01/19/2022 15:30:49
And missing a limit
0
1
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help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:33:35
yea always write the limit when taking it at the end
1
0
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help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:33:38
cuz lazy uwu
1
0
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help-10
316dba9be0814f8a934ddaf41a2cc625
692,437,967,121,285,100
Yohduh
01/19/2022 15:45:19
.close
1
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Hohtava
01/19/2022 16:11:04
Hey I'm having some trouble with finding a tangent to a parametric curve. My curve is c(t)=(e^t,t^2). I assumed that I could find the tangent by taking derivatives so that I have c'(t)=(e^t, 2t). Now a tangent should be position from c(t) + c'(t)*t_2 where t represents the t value for which the tangent is to be created and t_2 is a scalar which is needed for a line equation.
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
205,418,580,605,403,140
Hohtava
01/19/2022 16:11:49
However when I plot this with geogebra, the results suggest that there's something wrong with my method
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:11:54
you want dy/dx
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:11:59
and use y = mx + c
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:12:30
Not sure what c'(t) represents ngl
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:13:00
no ok i get u
0
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:13:16
can u try with implicit and see if u get diff answer?
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:13:30
the 2 methods should correspond anyways
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:14:33
=== I'm still not entirely sure about c'(t) tbh
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:15:29
c'(t) = (x'(t), y'(t))
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:15:44
It might be some calculation error, should be fine
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:16:17
c'(t) = (e^t, 2t)
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
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Hohtava
01/19/2022 16:17:07
Hmm, I'm yet not that good at transforming parametric curves to f(x)+g(y) + h(x,y)=0 notation.
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:17:36
r u sure your answer is wrong
0
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help-10
3a81d026804e445eb9fc2ed1fae31889
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Geopchad
01/19/2022 16:17:39
isn't ur problem that you need to plot the tangent to some point on the curve?
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:17:41
never used geogebra
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
328,662,734,008,746,000
Geopchad
01/19/2022 16:18:00
,w parametric plot (e^t, t^2) and (e^t, 2t)
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:18:11
no?
0
1
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164
help-10
3a81d026804e445eb9fc2ed1fae31889
510,789,298,321,096,700
TeXit
01/19/2022 16:18:13
0
1
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null
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164
help-10
3a81d026804e445eb9fc2ed1fae31889
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Geopchad
01/19/2022 16:18:18
what
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:18:24
why r u plotting derivative
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1
328,662,734,008,746,000
Geopchad
6356
Geopchad
false
164
help-10
3a81d026804e445eb9fc2ed1fae31889
328,662,734,008,746,000
Geopchad
01/19/2022 16:18:32
isn't that what he said to do
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:18:41
no
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:18:48
the tangent equation isnt that
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
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Geopchad
01/19/2022 16:19:00
so just to make sure.... he wants a tangent LINE
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:19:05
yh
0
1
null
null
null
null
null
164
help-10
3a81d026804e445eb9fc2ed1fae31889
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Geopchad
01/19/2022 16:19:10
so he needs a point of tangency....
0
1
null
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:19:21
check op post
0
1
null
null
null
null
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164
help-10
3a81d026804e445eb9fc2ed1fae31889
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Geopchad
01/19/2022 16:19:22
because in a line the slope is constant....
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:19:25
they have the write eq
0
1
null
null
null
null
null
164
help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:19:32
right
0
1
null
null
null
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null
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help-10
3a81d026804e445eb9fc2ed1fae31889
328,662,734,008,746,000
Geopchad
01/19/2022 16:19:35
yes
0
1
null
null
null
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:19:54
(e^t, t^2) + k(e^t, 2t)
0
1
null
null
null
null
null
164
help-10
3a81d026804e445eb9fc2ed1fae31889
328,662,734,008,746,000
Geopchad
01/19/2022 16:19:55
so then i guess he inputted it wrong
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
328,662,734,008,746,000
Geopchad
01/19/2022 16:19:59
cuz that whole thing should be right
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
205,418,580,605,403,140
Hohtava
01/19/2022 16:20:13
Yeah trying to find the equation for a tangent without knowing the exact point for which the tangent is to be created. A more general approach. End goal is to use that to find the t value and the tangent line which goes through a point which isn't on c(t)
1
0
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help-10
3a81d026804e445eb9fc2ed1fae31889
205,418,580,605,403,140
Hohtava
01/19/2022 16:20:40
I'll try to provide images, a moment
1
0
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help-10
3a81d026804e445eb9fc2ed1fae31889
328,662,734,008,746,000
Geopchad
01/19/2022 16:20:51
your equation is rhgt
0
1
null
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null
164
help-10
3a81d026804e445eb9fc2ed1fae31889
328,662,734,008,746,000
Geopchad
01/19/2022 16:20:53
right*
0
1
null
null
null
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null
164
help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:20:56
T_t : (x, y) = (e^t, t^2) + k(e^t, 2t)
0
1
null
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help-10
3a81d026804e445eb9fc2ed1fae31889
321,445,119,171,756,000
Shuri2060
01/19/2022 16:21:20
this is the parametric tangent line
0
1
null
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null
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help-10
3a81d026804e445eb9fc2ed1fae31889
328,662,734,008,746,000
Geopchad
01/19/2022 16:21:45
@Hohtava
0
1
null
null
null
null
null
164
help-10
3a81d026804e445eb9fc2ed1fae31889
328,662,734,008,746,000
Geopchad
01/19/2022 16:21:45
https://www.desmos.com/calculator/3ujfohspvt
0
1
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164
help-10
3a81d026804e445eb9fc2ed1fae31889
328,662,734,008,746,000
Geopchad
01/19/2022 16:21:53
let a = t1 and t = t2
0
1
null
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null
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help-10
3a81d026804e445eb9fc2ed1fae31889
328,662,734,008,746,000
Geopchad
01/19/2022 16:21:56
now its the same equation
0
1
205,418,580,605,403,140
Hohtava
9522
Hohtava
false
164
help-10
3a81d026804e445eb9fc2ed1fae31889
328,662,734,008,746,000
Geopchad
01/19/2022 16:22:13
so u must've inputted it wrong into geogebra
0
1
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help-10
3a81d026804e445eb9fc2ed1fae31889
205,418,580,605,403,140
Hohtava
01/19/2022 16:23:38
Yeah on my 6th(?) attempt I got it right
https://cdn.discordapp.c…4112/unknown.png
unknown.png
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null
164
help-10
3a81d026804e445eb9fc2ed1fae31889
205,418,580,605,403,140
Hohtava
01/19/2022 16:26:07
Thanks for the help. I really appreciate it. I'm usually decent with geometry but this 5th year uni course on parametric curves is a bit harder than I expected it to be.
1
0
null
null
null
null
null
164
help-10
3a81d026804e445eb9fc2ed1fae31889
205,418,580,605,403,140
Hohtava
01/19/2022 16:27:05
.close
1
0
null
null
null
null
null
165
help-10
218def11b90048388ddda7b7ebf7267d
411,882,877,933,060,100
Herels
01/19/2022 16:42:37
I have an hermitian space $E$, $dim(E) = n$. We let $F = E²$ such that for all $X\in F$, there exists $X_1, X_2 \in E$ such that $X=(X_1, X_2)$ We have an orthonormal basis $(e_i)_{1\leq i\leq n}$ of $E$. How can I find an orthonormal basis of $F$ ?
1
0
null
null
null
null
null
165
help-10
218def11b90048388ddda7b7ebf7267d
510,789,298,321,096,700
TeXit
01/19/2022 16:43:49
**Herels**
https://cdn.discordapp.c…877933060109.png
411882877933060109.png
0
1
null
null
null
null
null
165
help-10
218def11b90048388ddda7b7ebf7267d
261,933,205,387,477,000
riemann
01/19/2022 16:44:04
does gram schmidt work?
0
1
null
null
null
null
null
165
help-10
218def11b90048388ddda7b7ebf7267d
411,882,877,933,060,100
Herels
01/19/2022 16:44:56
not really, I don't have the value for each vector in the basis
1
0
null
null
null
null
null
165
help-10
218def11b90048388ddda7b7ebf7267d
411,882,877,933,060,100
Herels
01/19/2022 16:45:40
I'm trying to derive an expression of an orthonormal basis of F with the basis of E
1
0
null
null
null
null
null
165
help-10
218def11b90048388ddda7b7ebf7267d
261,933,205,387,477,000
riemann
01/19/2022 16:46:16
$(e_i, e_j) / \sqrt{2}$?
0
1
411,882,877,933,060,100
Herels
1420
Herels
false
165
help-10
218def11b90048388ddda7b7ebf7267d
510,789,298,321,096,700
TeXit
01/19/2022 16:46:39
**riemann**
https://cdn.discordapp.c…205387477002.png
261933205387477002.png
0
1
261,933,205,387,477,000
riemann
2529
riemann
false
165
help-10
218def11b90048388ddda7b7ebf7267d
411,882,877,933,060,100
Herels
01/19/2022 16:47:27
🤔
1
0
null
null
null
null
null
165
help-10
218def11b90048388ddda7b7ebf7267d
261,933,205,387,477,000
riemann
01/19/2022 16:48:21
or probably proportional to $1 / \sqrt{n}$
0
1
null
null
null
null
null
165
help-10
218def11b90048388ddda7b7ebf7267d
510,789,298,321,096,700
TeXit
01/19/2022 16:48:23
**riemann**
https://cdn.discordapp.c…205387477002.png
261933205387477002.png
0
1
null
null
null
null
null
165
help-10
218def11b90048388ddda7b7ebf7267d
411,882,877,933,060,100
Herels
01/19/2022 16:48:37
the base is already orthonormal so I dont know why you are doing this tho
1
0
null
null
null
null
null
165
help-10
218def11b90048388ddda7b7ebf7267d
261,933,205,387,477,000
riemann
01/19/2022 16:48:39
no wait the $e_i$ already have that
0
1
null
null
null
null
null
165
help-10
218def11b90048388ddda7b7ebf7267d
510,789,298,321,096,700
TeXit
01/19/2022 16:48:42
**riemann**
https://cdn.discordapp.c…205387477002.png
261933205387477002.png
0
1
null
null
null
null
null
165
help-10
218def11b90048388ddda7b7ebf7267d
261,933,205,387,477,000
riemann
01/19/2022 16:48:51
yea, just try the initial suggestion with root 2
0
1
null
null
null
null
null
165
help-10
218def11b90048388ddda7b7ebf7267d
261,933,205,387,477,000
riemann
01/19/2022 16:49:14
so it's just the cartesian product of the E bases vectors
0
1
null
null
null
null
null
165
help-10
218def11b90048388ddda7b7ebf7267d
411,882,877,933,060,100
Herels
01/19/2022 16:49:38
yea but that looks too easy
1
0
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null