since you haven't actually reached what they asked for
#help-33
late geode
gloomy minnow
alright
gloomy minnow
since you haven't actually reached what they asked for
can you give me a hint what to do next step ?
late geode
first only take the positive solution for x and ensure its between 0 and 1
and then pythagorean identity to get the cos(18°)
gloomy minnow
and then pythagorean identity to get the cos(18°)
but is only single sin θ not sin^2 θ btw
late geode
yes
gloomy minnow
or sin θ
gloomy minnow
you have sin(theta), you can get sin^2(theta) from that
Omggg is getting more worst i guess
marsh citrusBOT
@gloomy minnow Has your question been resolved?
ripe fable
marsh citrusBOT
ripe fable
Can i get sol the last chat closed due to timeout
cobalt sedge
you can start with complex roots of 1
smoky plover
For 2 consider the magnitude of each side
For 3 scale it down so z is on the unit circle, the orthocenter is nice in terms of z in such a state
next raft
does every finite abelian group have a composition series?
marsh citrusBOT
does every finite abelian group have a composition series?
rigid nexus
welcome back
next raft
next raft
lagrange is one way no?
next raft
does every finite abelian group have a composition series?
how about principal series?
rigid nexus
Furthermore, you know abelian, so it should be easier?
or actually ig not
because n is not given prime
vestal compass
can someone pls help me with this
marsh citrusBOT
can someone pls help me with this
main idol
can someone pls help me with this
Simplify the integrand first
Especially under the root
vestal compass
yea i know
my tutor told me to use this method
maybe he's trippin
because i also didn't understand it
main idol
Your tutor told you to combine xdx into dx^2?
main idol
Your tutor told you to combine xdx into dx^2?
This is wrong do I can't help you
Ask your tutor since I have no idea what they were thinking
vestal compass
Ask your tutor since I have no idea what they were thinking
how would you approach it though
from ehre
main idol
Simplify the integrand first
.
main idol
im seeing if i can usub for x^2
Then this is the next step
main idol
The r_3 out front of the integral should be |r_3| but everything else is right
marsh citrusBOT
@vestal compass Has your question been resolved?
main idol
,w diff -sqrt(r^2-x^2)
elfin berryBOT
main idol
You have some typos with u^2 but the rest looks right
vestal compass
You have some typos with u^2 but the rest looks right
Thanks bro
marsh citrusBOT
Thanks bro
rigid nexus
Wait I don’t get this part
chain rule
vestal compass
chain rule
No the partial derivative part
main idol
No the partial derivative part
Wolfram doesn't know r is a constant
marsh citrusBOT
@vestal compass Has your question been resolved?
cunning oak
marsh citrusBOT
cunning oak
"for natural number n let I(n) =... and prove the equation"
im stuck on where to begin
<@&286206848099549185>
cunning oak
i got I(n) = integral of u^(n-1)/2 e^-u
vestal compass
Wolfram doesn't know r is a constant
lol i thought i messed u
marsh citrusBOT
still temple
ig let (e)^-t=a
velvet yarrow
smiplify the equation with the x
next raft
how did u recognize that 😭
velvet yarrow
u still have a t
next raft
dang trig
glass silo
What is x + y?
(Think along these lines again)
Oh wow how did I read the question correctly once, then misread it when I looked at it again- 
slate yarrow
you can add those two eq now
add these two equations
hint sinh x+cosh x =e^x
its (x-y+2t) not (x-y-2t)
its quite different
um $\sinh(x)=\frac{e^{x}-e^{-x}}{2}$
elfin berryBOT
convergence
slate yarrow
wait I'm getting confused wait lemme do it
marsh citrusBOT
@red prism Has your question been resolved?
chilly spoke
I found a solution, but it represents t as a solution to a complex quadratic equation
to get to it, you have to solve for e^t in both equations
then set them equal to each other
yea, and then you just plug that t into one of the original equation
the final equation will look awfully complex though, so I feel like there's a better way?
yea
mhm, and ig you have to figure out the range too
you only need an implicit equation right?
chilly spoke
can you show how did you get it?
1/(x-t) = e^t
y+t = e^t
=> 1 = (y+t)(x-t)
then solve that quadratic equation
for t
slate yarrow
ah i see thanks
chilly spoke
shouldn't it be +4(xy-1)?
yea, it'd be
but hold on, I'm gonna try the x+y and x-y method
that I'm not really sure how to do
ig you can differentiate them and set it to 0
that should give you a rectangle
chilly spoke
yea, it'd be
but hold on, I'm gonna try the x+y and x-y method
actually, you could probably just use the +- version
also since the +4xy, you could simplify it a bit more
chilly spoke
yea, it'd be
but hold on, I'm gonna try the x+y and x-y method
seems to just get back to the original equation
quartz hedge
Can someone explain the inplication to me like this A=>B. It's somehow incomprehensible to me
marsh citrusBOT
Can someone explain the inplication to me like this A=>B. It's somehow incompreh...
quartz hedge
thx for explaining :3
sleek lake
there's nothing to understand really, you can think of => as ≤
(A or B) means one of 3 is true: (A, ~B), (~A, B), (A, B)
A=>B means one of 3 is true: (~A, B), (~A, ~B), (A, B)
if true is 1 and false is 0, it's like saying A ≤ B
so 0,0 or 0,1 or 1,1
spark otter
there's nothing to understand really, you can think of => as ≤
=> as >= you mean?
sleek lake
no
spark otter
oh in binary?
sleek lake
yes
spark otter
I would have just said that A contains more information than B, it's like a stronger statement
if A is "I have a cat and a dog"
B is "I have a cat"
A already has the information necessary for B to be true as well when it's true
sleek lake
this is like, lore
you don't need it
well, i would always do that in any other topic, give weird analogies
only this question makes me go the opposite way idk why
spark otter
in my opinion, if someone says something is incomprehensible to them, I wouldn't go into binary territory
sleek lake
but i do
spark otter
in my opinion, if someone says something is incomprehensible to them, I wouldn't...
in my opinion
spark otter
xddd
sleek lake
as opposed to what like ann would say
spark otter
this is about pedagogy, like both ways to reason are correct
this is about how the guy who wants to understand interprets it
so to be certain that a method to explain is gonna work is kinda bad
spark otter
thx for explaining :3
sorry about that, please do tell which way of explaining this seems better to you
sleek lake
very likely neither
quartz hedge
sorry about that, please do tell which way of explaining this seems better to yo...
hmm I understand it easyer if u say it in 0 and 1
spark otter
alr
sleek lake
the proper way would be to make like an entire problem
full immersion, the context of why would you want to write something like A => B
quartz hedge
A is greater than B
A=B
sleek lake
an 8 mnute video game that's all about A => B
spark otter
ok so here's what I would do to understand an implication
Imagine a game of cards, with for each card, a number on the first face and a color on the second
quartz hedge
The first task was easy but the sec I never see this symbol => its new ^^
spark otter
The first task was easy but the sec I never see this symbol => its new ^^
oh if you wanna switch to that we can do that
quartz hedge
oh if you wanna switch to that we can do that
switch?
spark otter
The first task was easy but the sec I never see this symbol => its new ^^
like we can do this instead of what I was about to propose
spark otter
you mean this symbol?
spark otter
A => B is the composition of logic gates (notA or B)
pliant topaz
How do I go by calculating this?
marsh citrusBOT
How do I go by calculating this?
pliant topaz
i have this but i feel like im getting something wrong
proud basin
honestly the best way to go with this is just to find the distance between origin and B
pliant topaz
i have not gotten that explained to me in my book, so i dont know how to do that
proud basin
really?
i feel like you need it to do this problem, not sure of others can find a way to do it without
pliant topaz
but if you say that ill just look it up on youtube maybe
proud basin
do you want me to explain it to you? (dont worry, assuming you know pythagoras its easy peasy)
pliant topaz
funny thing is that before this question the book never even mentioned anything about distance from the origin
pliant topaz
this is the 6th question in the book and before this i only got a quick introduction to y=kx+m so ive been struggling quite a bit
but since you gave me that tip ill look up aguide on youtube and try to follow some steps
marsh citrusBOT
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Available help channel!
sly jolt
hi, i'm struggling to do this question (I found all angles already)
marsh citrusBOT
hi, i'm struggling to do this question (I found all angles already)
dreamy pollen
hi, i'm struggling to do this question (I found all angles already)
What have you done , can you show?
Also you don't need to find any more angle, whatever is given is sufficient
dreamy pollen
Use sin and tan formula to find other lengths
For triangle ABC
Use sin to find BC length
Then use tan to find AB length
In triangle ABC @sly jolt
sly jolt
I found length of BA
dreamy pollen
Did you find BC as well?
dreamy pollen
Find that as well , then we can move to triangle BCD
sly jolt
so I use pythagoras to find BC right?
sly jolt
I found BC
dreamy pollen
Excellent
sly jolt
so I do Sin(56) = 8.69../h ?
dreamy pollen
Find that as well , then we can move to triangle BCD
Now this
sly jolt
so I do Sin(56) = 8.69../h ?
this
sly jolt
so I do Sin(56) = 8.69../h ?
this is for CD
acoustic folio
Simple
sly jolt
No I mean I found CD so I can use that and CB to calculate BD with pythagoras
dreamy pollen
No I mean I found CD so I can use that and CB to calculate BD with pythagoras
Yeah you can do that, but that's unnecessary additional step
But if you have found it then use Pythagoras
sly jolt
I got 5.84.. for BD
dreamy pollen
You need AD which is equal to AB - BD
Now find AD
sly jolt
ty
dreamy pollen
No problem
sly jolt
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sleek glade
guys
eager tinsel
are you aware of Triangle Inequality?
sleek glade
are you aware of Triangle Inequality?
no
eager tinsel
i am not aware of anything
eh
sleek glade
dawg please🙏
eager tinsel
okay so what you can do is to use the definition of modulus function
sleek glade
mhm ok
eager tinsel
and solve by taking cases
sleek glade
how do we do that
makes sense alr lets do it
how shall we start
shall we go on call or should we just do it over text
eager tinsel
like take the case for x < -3, x in [-3.-1] and then finally x > -1
tacit nest
make graph of sum of mod and y=4
eager tinsel
Or you can observe that both sides of the inequality sign are positive so you can just simply square both sides too
shadow thorn
Is there a way to convert a limit into an integral?
keen mist
shadow thorn
ya i figured
midnight trout
Is there a way to convert a limit into an integral?
What exactly do you mean with convert?
shadow thorn
What exactly do you mean with convert?
Soft question but
if i had a limit
that was hard to solve
mainly because you cant use l'hopital's rule on it
would it be possible to convert it into an integral
which is easier to solve
midnight trout
depends on the example I guess. Do you have a specific exercise in mind?
shadow thorn
as n tends to infinity for natural numbers n
or you could replace n with floor(x)
marsh citrusBOT
@shadow thorn Has your question been resolved?
marsh citrusBOT
@shadow thorn Has your question been resolved?
fickle compass
marsh citrusBOT
clever tangle
Feels like it could be simplified
Hol up
We can let x=tan(theta)
And we can let 2u and 1 - u^2 be sides of a right angle triangle
marsh citrusBOT
@fickle compass Has your question been resolved?
still temple
Why is this not it?
marsh citrusBOT
Why is this not it?
still temple
Isn’t (x+a) just a linear replacement of x?
eager tinsel
Isn’t (x+a) just a linear replacement of x?
kinda yeah
devout mauve
who says that its not
still temple
Idk my teacher said you’d substitute to deal with something like this
So I was confused as to why he was saying that
eager tinsel
it is just a trig sub to get rid of the radical sign
it is one of the ways to simplify
still temple
(c)
I was trying to derive that
I’m getting -ln(a) in addition to that
Is that included in my arbitrary constant?
marsh citrusBOT
Show your work, and if possible, explain where you are stuck.
still temple
Or did I mess up
eager tinsel
Is that included in my arbitrary constant?
perfect
eager tinsel
Or did I mess up
I mean I can't say for sure
but the final result you narrated seems promising
true parcel
Do you guys remember these formulae?
well
when u solve enough integrals, all these results will be in ur memory
true parcel
why is differentiation of asin theta equal to -a cos theta
true parcel
you have $\frac{a^2}{2}\theta + \frac{a^2}{4}\sin2\theta$
elfin berryBOT
Astar777
true parcel
$\sin2\theta = 2\sin\theta\cos\theta$
elfin berryBOT
Astar777
still temple
I got it
true parcel
alright
still temple
What to do now?
Wait
Should I write it in the form of cos(theta)
And then triple angle
Nah I got stuck after
marsh citrusBOT
@still temple Has your question been resolved?
still temple
@true parcel sorry for the ping. But could you help me. It’s okay if you’re busy
sick walrus
Did you resolve this?
marsh citrusBOT
@still temple Has your question been resolved?
true parcel
<@792998052025335808> sorry for the ping. But could you help me. It’s okay if y...
its fine
true parcel
uh
i did it using integration by parts
im not sure how it will work out with tan^2 theta + 1
marsh citrusBOT
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vocal cloud
lets say one of the solution of the differential equation:
x^2y" + 2xy' -2y = 0 is y = x and we had to find the other solution
marsh citrusBOT
lets say one of the solution of the differential equation:
x^2y" + 2xy' -2y = 0...
marsh citrusBOT
@vocal cloud Has your question been resolved?
marsh citrusBOT
@vocal cloud Has your question been resolved?
dense lion
Review natural log rules. ln(a)+ln(b) = ln(a•b)
dense lion
Thus u = Cx^-4
main idol
Your y_2" is y_1"? Your second derivative looks wrong
Or maybe you just swapped y1 and y2 in the beginning
vocal cloud
Or maybe you just swapped y1 and y2 in the beginning
yeaaa. i wanted to say y2 = y1v(x)--> y2 = vx
vocal cloud
Your y_2" is y_1"? Your second derivative looks wrong
okay yea I see it 😭😭😭
thankyouuu
.close
marsh citrusBOT
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wet oriole
What stops me from doing 16x-24x and getting -8x?
marsh citrusBOT
What stops me from doing 16x-24x and getting -8x?
void elm
oh wait
no, you end up with -8x + 9 = -60, sorry
I misread what you had written
that's a totally valid way of doing this too
marsh citrusBOT
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next raft
marsh citrusBOT
next raft
how would i use burnside for part a?
i believe it isnt too hard to do it without but anyway
wait i dont use burnside?
im not sure
craggy wolf
how would i use burnside for part a?
Start by listing all the conjugacy classes of the group (Z6 or D12, idk if u count reflections or not), the number of elements in each conjugacy class, and |fix(g)| for some g in each conjugacy class
Then apply burnside
next raft
a reflectin would be exactly 3 rotations no?
supple marsh
Isn't that cyclohexane? Why does it say benzene
craggy wolf
a reflectin would be exactly 3 rotations no?
No 😐
craggy wolf
Draw a picture; see for urself
next raft
i shall ignore reflections
glass silo
Isn't that cyclohexane? Why does it say benzene
("in a benzene ring" - keyword "a", not "the")
next raft
Start by listing all the conjugacy classes of the group (Z6 or D12, idk if u cou...
wait sorry, if we ignore reflections, isnt the conjugacy class... trivial. we have an abelian group and everything is in the center
whole sleet
Yes, the problem isn't interesting unless you're using a dihedral group
whole sleet
It makes sense to me that you can flip it
next raft
so how would we approach this when we are inserting 2 chlorine
next raft
It makes sense to me that you can flip it
yea it does but um
simplicity
lets ignore it
inserting it at 12 or 23 or 34 would be the "same"
but how does burnside tell us that
theres only one group action so dont we always have 1 cycle
oh yea
we do only have 1 cycle
so it boils down to the coloring function
supple marsh
("in a benzene ring" - keyword "a", not "the")
Oh alright
next raft
let f be a coloring map and g be a permutation
where we take white=hydrogen as the default color and black=chlorine as when we color it
when we are coloring 0 its all the same
when we are coloring 1, there is 6 ways to do it
wait i realised what we will be doing is, list every single way of coloring. then we divide by 6 being the order of the group
am i understanding it right?
the exception of couse being the identity which will be counted as 6 cycles (thus we have at least 1 for each coloring)
every other coloring will have 6 "duplicates" which will be gotten rid of by that dividing by |G|
this is boring ill look at D6 instead
marsh citrusBOT
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next raft
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humble river
hi
humble river
my work is here and for this question
good so far?
and then i try to cancel
= to the answer i hope
oh my god
i am idiot
cobalt sedge
The last factor is iffy
humble river
OHHhhhhhhhhhhhhhhhhhhhhhh
i mixed it up with a question above it
i meant to get to ul
1 minut
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cunning oak
(the other sphere is on (1,0,0))
marsh citrusBOT
(the other sphere is on (1,0,0))
cunning oak
i have no idea how to begin
ive never worked with questions including 3 dimensional space
sand fable
(the other sphere is on (1,0,0))
(1, 0, 0)
marsh citrusBOT
@cunning oak Has your question been resolved?
cunning oak
anyone?
cunning oak
sadge
marsh citrusBOT
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cunning oak
<@&286206848099549185>
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long depot
help me with graphing piecewise
marsh citrusBOT
help me with graphing piecewise
short lynx
Yh
marsh citrusBOT
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surreal glade
$\sum_{i=0}^{\infty}F_i x^i$, where $F_i$ are the Fibonacci numbers, with $F_0=0, F_1=1$.
marsh citrusBOT
$\sum_{i=0}^{\infty}F_i x^i$, where $F_i$ are the Fibonacci numbers, with $F_0=0...
devout mauve
use the recursion for the fibonacci numbers
marsh citrusBOT
@surreal glade Has your question been resolved?
surreal glade
use the recursion for the fibonacci numbers
Sorry, I'm only reading this now.
surreal glade
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dusky wharf
marsh citrusBOT
dusky wharf
Can someone show how they would attempt this question
Just a
With working and please @ me
sour anchor
@dusky wharf Try and at least attempt it and explain what you're thinking, then others can help explain
marsh citrusBOT
@dusky wharf Has your question been resolved?
split geode
how that encircled part come(encirled with red ink)
marsh citrusBOT
how that encircled part come(encirled with red ink)
@split geode Has your question been resolved?
dusky wharf
<@616880914135253013> Try and at least attempt it and explain what you're thinki...
bruh
split geode
?/
marsh citrusBOT
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serene nacelle
What are the formulas to find Average rate and instanenous grpahically chemical kinetics
marsh citrusBOT
What are the formulas to find Average rate and instanenous grpahically chemical ...
rugged pivot
what
marsh citrusBOT
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neat grove
can someone put 3x^2-10x+2 into a(x+b)^2+c? i got a answer but i keep getting my answer wrong for some reason
marsh citrusBOT
can someone put 3x^2-10x+2 into a(x+b)^2+c? i got a answer but i keep getting my...
neat grove
the question is to turn it to that form then find the range for the function when it is x=R
marsh citrusBOT
@neat grove Has your question been resolved?
grand radish
its a bot
neat grove
ik
grand radish
if you don't tick it closes the channel
chilly spoke
can someone put 3x^2-10x+2 into a(x+b)^2+c? i got a answer but i keep getting my...
what answer did you get?
chilly spoke
3(x-5/3)^2+2
yea that's wrong
what do you get if you expand that?
marsh citrusBOT
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rapid glade
can anyone answer this i have an exam tomorrow
marsh citrusBOT
can anyone answer this i have an exam tomorrow
wheat rover
distribute the roots on the numeratos and denominators
rapid glade
oh thx
thorn nacelle
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soft tangle
Hello
still temple
Hello
Hi. You should explain your problem before waiting for a response
So, what is it we can help you with?
soft tangle
Myb was screenshotting
Need help with this problem
I don't understand some of these
The point is to use the comparison theorem to compare and integral to another integral that is similar to see if it's convergent or divergent but I can't get it
Hello?
marsh citrusBOT
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soft tangle
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modest swallow
please help i have a test in 3 days
marsh citrusBOT
please help i have a test in 3 days
sick walrus
please help i have a test in 3 days
How would you approach this
rancid geode
trig?
wheat rover
try to see what is given at lines from 3 to 5
marsh citrusBOT
@modest swallow Has your question been resolved?
modest swallow
How would you approach this
do i use the pythogorean theorem?
marsh citrusBOT
do i use the pythogorean theorem?
@modest swallow Has your question been resolved?
neat granite
Hey
still temple
neat granite
wheat rover
use straight line angle properties
still temple
Ok so angles in a straight line add up to 180
untold geyser
hint:
||a full circle is 360 degree, use it to your advantage||
still temple
Knowing that one of the angles on the line is 75 degrees you can use this to find the other
neat granite
Oh Periodt but can someone just solve to fully step by step and give it 😭
neat granite
Periodt I’ll do the second on my own thank u
still temple
No problem
neat granite
❤️❤️
still temple
still temple
not the floptok stickers 😭
neat granite
U know Floptrop ?? 😭😭
still temple
yes unfortunately
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keen jungle
Hi all. I am conducting an investigation into certain kinds of infinite series models for physical scenarios, and I came across this identity given by WolframAlpha here (as "csc(x)sin(x+y)")
Could anyone please provide an algebraic proof of this equality? Thank you.
marsh citrusBOT
Hi all. I am conducting an investigation into certain kinds of infinite series m...
keen jungle
I have attempted to use trig identities but I am not fully proficient, so I couldn't get very far.
I would greatly appreciate it if somebody could help!
sand fable
I have attempted to use trig identities but I am not fully proficient, so I coul...
for denominator
wispy heron
keen jungle
for denominator
I will try this out. If I still can't figure it out, hopefully pinging you won't be an issue?
sand fable
i do not complain abt pings
keen jungle
alright thanks
glass silo
i do not complain abt pings
sand fable
<a:KL1LoveHug:637902165918351380>
keen jungle
i do not complain abt pings
I'm pinging you but just to tell you I got it!!
Thank you so much!!
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slow kernel
Hello!
slow kernel
I need someone to help me go though an algorithm that I found in the glm library for inverting a 4x4 matrix
At least, there's a section which calculates a variable called Fac0
elfin berryBOT
pastifier
slow kernel
That's the first step to calculating Fac0
elfin berryBOT
pastifier
copper raven
do you have the code at hand ?
might be better to start there
and then explain your doubts
slow kernel
do you have the code at hand ?
Yeah. I'm doing this cuz I want to understand the Maths
but yeah
__m128 Swp0a = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(3, 3, 3, 3));
__m128 Swp0b = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(2, 2, 2, 2));
__m128 Swp00 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(2, 2, 2, 2));
__m128 Swp01 = _mm_shuffle_ps(Swp0a, Swp0a, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp02 = _mm_shuffle_ps(Swp0b, Swp0b, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp03 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(3, 3, 3, 3));
__m128 Mul00 = _mm_mul_ps(Swp00, Swp01);
__m128 Mul01 = _mm_mul_ps(Swp02, Swp03);
Fac0 = _mm_sub_ps(Mul00, Mul01);
pastifier
slow kernel
So, that's our funny little matrix
Lemme confirm what _mm_shuffle_ps does, real quick
It returns a vector (__m128), that contains elements from both input vectors
in is an array of vectors; a matrix
This is insanely mind-twisty, hold on
So sorry for holding up the channel...
copper raven
that's what it seems to be yeah, still trying to parse what the shuffle is supposed to do
eh it's fine there's a ton of channels no one cares
copper raven
ok i found a nice intel description finally
copper raven
are you 100% sure that's how the matrix is stored ?
you haven't told me so I'm just checking
elfin berryBOT
pastifier
slow kernel
are you 100% sure that's how the matrix is stored ?
Like, 80%
What I'm hoping is that we could draw a mathematical similarity to a method that already exists
spot a pattern
after which, all the pieces will fall in-place (I hope)
copper raven
I mean the storage convention is certainly documented somewhere in that code
ah it's opengl math
slow kernel
It's a humungous library-
copper raven
i thought it was like the linear model library from R
slow kernel
But if you insist, I'll look for it
slow kernel
Dammit, I was hoping by some magical miracle that you'd know since you mentioned its name x33
Alright, lemme check
Well, actuallly
I think I know
Their methods seem to suggest that the matrices are stored in row-major order
So, I'm gonna move forward with that assumption
It seems to be taking a submatrix of some sort
elfin berryBOT
pastifier
slow kernel
finally,
elfin berryBOT
pastifier
slow kernel
Okay, so the ones that concern us are Swp[00-03]
I'm guessing Swp{0a,0b} were created as an intermediate step
So, it goes on to calculate the component-wise product of Swp00 and Swp01
slow kernel
And then it subtracts those two vectors
My proposition is that this might be the first row of the cofactor matrix
Maybe
Idk
sigh
Time to look up how to calculate the cofactor matrix
Or maybe something to do with matrix minors..? Ugh, this is so confusing
copper raven
yeah I ragequitted trying to understand the shuffles, just looking at the comments now
copper raven
Or maybe something to do with matrix minors..? Ugh, this is so confusing
yeah all those entries are just 2x2 determinants extracted from the matrix
slow kernel
Are we positive?
copper raven
well I haven't checked everyone of them cause there's a lot
slow kernel
Could you explain to me just the general idea? I'll do the checking, no worries
slow kernel
Of what made you think they're 2x2 determinants
copper raven
i just drew some of the formulas you see in the comments (those are the entries of Fac0)
slow kernel
This bloody shuffle thing
slow kernel
Yeah
copper raven
it's just ad-bc but 17million times
slow kernel
Hmm...
Good, this is progress
so, then
why would you want all those little determinants?
copper raven
using all of these small dets to compute the cofactors I assume
slow kernel
Hmm
copper raven
it makes sense, take a cofactor which is a 3x3 det
if you laplace expand along some col or row, you get a weighted sum of 3 2x2 dets
which is what they're doing afterwards
again, trusting the comments to be truthful
slow kernel
Laplace expand? Weighted Sum?
slow kernel
again, trusting the comments to be truthful
I mean,
copper raven
well essentially doing cofactor expansion again on the 3x3 dets you want to compute
elfin berryBOT
pastifier
copper raven
https://en.wikipedia.org/wiki/Laplace_expansion hopefully this rings a bell
copper raven
I mean,
I'm willing to explain the math that's going on here, I don't want to spend 5h decoding shuffles
slow kernel
Yeah, that's fine. I think I'm starting to get what's going on here
Thank you! That helped immensely
copper raven
but yeah tl;dr, they're precomputing a bunch of 2x2 dets, which they use to compute all the cofactors, so you get your cofactor matrix, which helps you compute the inverse
copper raven
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sick walrus
do i use the pythogorean theorem?
That and trigonometry
marsh citrusBOT
That and trigonometry
sick walrus
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cobalt hemlock
hi can someone verify if this is -237 in binary 11101101
marsh citrusBOT
hi can someone verify if this is -237 in binary 11101101
next raft
use a converter and no
bronze cloud
omg sorry
next raft
no it isnt*
cobalt hemlock
use a converter and no
1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 0001 0011, this is using a converter
cobalt hemlock
no it isnt*
oh it is right
11101101
this is the right answer
need someone else in here bruh
next raft
i already said it isnt
next raft
1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 0001 0011,...
there is more than one converter
u might have used an ascii one
im pretty sure u cant get -237 if your first bit is a sign bit as u only have 7 bit for information and 2^7=128
cobalt hemlock
so what do i do?
next raft
what is your question?
cobalt hemlock
converting -237 decimal to binary
next raft
what encoding
cobalt hemlock
encoding?
next raft
so what is 3 in binary
cobalt hemlock
so what is 3 in binary
011
next raft
and how do u convert 011 in binary to decimal
next raft
what is that?
next raft
the reason why i said u cant encode -237 is because generally u encode a variable with some number of bytes and each byte has 8 bits
so we generally encode binary to decimal in chunks of 8 bits
cobalt hemlock
0 0 0 0 0000
128 64 32 16
thats what ive been taught till now
or the division method
cobalt hemlock
how?
next raft
0 is the same as negative 0?
cobalt hemlock
10 decimal?
next raft
i mean, with your encoding
next raft
what does 10 in binary encode
next raft
no what is 10 binary in decimal
cobalt hemlock
also no isnt this supposed to mean, -2
if u add a zero in front then its 10?
next raft
can u write out rigourly how you are converting from binary to decimal?
next raft
if u add a zero in front then its 10?
then u shouldve added a 0 in front
cobalt hemlock
bro its been like 2 weeks or something since i did converting binary to decimal i literally dont remember thats why im getting help 😭
next raft
hi can someone verify if this is -237 in binary 11101101
anyway, 11101101 maps to 237
add a 1 i presume
in front
cobalt hemlock
so everyone is taught binary and stuff differently?
coz in my class the teacher said the left most bit is the sign bit
next raft
well thats one way
the other way is the last bit is negative
and what i know is normally we have a fixed length
next raft
the other way is the last bit is negative
eg for 4 bits where the last bit is negative, 1000 is -8
cobalt hemlock
like the teacher said the largest number you can represent in 4 bits is 7
next raft
1111 is -1
cobalt hemlock
0111
next raft
aka how u convert from decimal to binary
cobalt hemlock
i see
next raft
or binary to decimal
cobalt hemlock
so -237 is 11101101 with an extra 1 on the left?
i just dont wanna get it wrong bruh 😭
next raft
i believe so
cobalt hemlock
bruh i was even paying attention like i just didnt do a lot of practice thats it
like damn i need to do like 10 questions every day or something
next raft
good luck
next raft
lol
next raft
no
marsh citrusBOT
@cobalt hemlock Has your question been resolved?
cobalt hemlock
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bleak pine
Help
bleak pine
How the hell do I start this
Do they equal 180
@ me when yall here
Cuz I gotta do some work
I’ll ask later when I’m not eating
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bleak pine
Hello
bleak pine
I need help
How do I start this problem
Are they all gonna equal 180
And is angle 1 the same measure as angle 3
🫤
Thank you
Do they equal 180 tho
Ye
No
Wait
I meant like
Angle 1 + angle 4
=180
And angle 3 + angle 2
I mean 2
Thank you
Alr
I’m just gonna do the work and make sure
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humble river
sry ik its not really math but chem involves math so ahah
marsh citrusBOT
sry ik its not really math but chem involves math so ahah
humble river
WHy is this compound 😭
pure table sugar is just an element surely?
oh i need to look at a periiodic table
sry
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safe schooner
how do you figure out the domain?
marsh citrusBOT
how do you figure out the domain?
tidal tapir
woopsies
cloud field
how do you figure out the domain?
domain of f inverse = range of f
safe schooner
domain of f inverse = range of f
so its 2?
cloud field
yes
cloud field
yes
safe schooner
okay
safe schooner
yes
so for this
I just put -10 into the equation
and the result
is the range of the inverse
cloud field
yeah
cloud field
isn't the square root of 3x+15 >= 0 -5?
-5 isnt even in the range of sqrt(3x+15)
safe schooner
what am I getting wrong tho
you square both sides
you get 3x+15 >= 0
3x >= -15
-15/3
x >= -5 no?
safe schooner
thats the domain of it sure
is the answer just 0 then>
cloud field
yes
remote grove
On the 3rd step, why did he add a negative to the squareroot(x^6)?
marsh citrusBOT
On the 3rd step, why did he add a negative to the squareroot(x^6)?
remote grove
I’m trying to evaluate the limit btw
Is it because the exponent is odd so u switch the signs?
remote grove
So because x is approaching negative infinity, we’re able to add the negative?
bitter terrace
theyre just saying cause the x^3 is negative, the sqrtx^6 is negative
remote grove
Okay I see, thanks
marsh citrusBOT
@remote grove Has your question been resolved?
vital frost
A vector space of the form x y z where z = 2x+y
marsh citrusBOT
A vector space of the form x y z where z = 2x+y
still temple
nvm
stuck pollen
?? It’s not really the x-y plane??
vital frost
Yea it's not
It's the z = 2x + y plane
But basically I'm trying to find a basis for this
So any two LI vectors from this plane should work right
fervent rampart
yes
vital frost
If a set has a vector which is extra, then that can't be considered a basis right
It has to be minimal by definition?
x+y+z+w= 1 describes a 3+ dimensional space right?
Or only 3?
fervent rampart
the set of vectors (w,x,y,z) satisfying x+y+z+w=1 is not a vector space