what does k represent
#help-0
shadow venture
ocean sealBOT
tardy stag
what do you mean
reef inlet
what do you mean
k represents a constant
tardy stag
so if we have 3x = π/6 + πk
we can divide both sides by 3
$x = \f\pi{18} + \f\pi3k$, where $k \in \Z$
there's your π/3
shadow venture
still dont know what to do
ocean sealBOT
hayley is not layla
tardy stag
well, what was it you were looking for? solutions where x is in [-π, π]?
shadow venture
well, what was it you were looking for? solutions where x is in [-π, π]?
yes
tardy stag
okay, so what values of k can you substitute in there and get something in that range?
shadow venture
i solved the other ones like this
2tan(2x)=2
tan(2x)=1
tan(45)=1, tan(pi/4)=1
2x=pi/4
x1=pi/8
x2=pi/8+pi/2
x3=pi/8-pi/2
x4=pi/8-pi
shadow venture
dont i need to convert -1/root3 to radians?
tardy stag
no. i don't see you converting 1 to radians in the problem you did
tardy stag
that angle being.... 30º?
shadow venture
shouldnt tan30 be positive
tardy stag
okay yes fine i meant -30º
tardy stag
yes, -30º = -π/6
tardy stag
yw girlypop
shadow venture
is the root3 in y=3tan(x)+root3 a vertical translation?
ocean sealBOT
hayley is not layla
shadow venture
is it the same for sin and cos
tardy stag
yep, all functions work this way
shadow venture
oh ok
the 3 in front doesnt really change anything right?
wait how come if i do sin(x+1) everything is actually translated to the right
hidden pier
x+1 translates to the left
shadow venture
wait nvm i looked at the wrong part of the graph
lone heartBOT
@shadow venture Has your question been resolved?
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tawdry sentinel
Needing some help with some electrical diagrams
lone heartBOT
Needing some help with some electrical diagrams
tawdry sentinel
Maybe outside the normal wheelhouse of this server, but...
I can't understand what dictates the sign (- or +) used for the voltages and the current
help?
The only instruction we have is this:
But.. these rules aren't followed in the example
Or if they are, then I'm not understanding what the rules are trying to say
<@&286206848099549185>
.close
lone heartBOT
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wanton river
Dont understand the logic of those ?
lone heartBOT
Dont understand the logic of those ?
wanton river
could someone help ?
how do i interpret those in human language
okay nevermind
.close
lone heartBOT
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merry zodiac
I got a very dumb question but I really need help here , so when it comes to the domain , the way we write it at school is like that
]..,..[U]..,..[ and many other way but while I'm trying to watch videos online they right like that () so I don't know when the circle is closed and when it's opened which gets me confused, I hope someone understands what I'm saying
jaunty sun
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Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.
jaunty sun
what the heck
verbal blaze
!da2a
lone heartBOT
No need to ask “Can I ask…?” or “Does anyone know about…?”—it’s faster for everyone if you just ask your question! See https://dontasktoask.com/
verbal blaze
!status
lone heartBOT
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2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
dude
strange heath
answer
verbal blaze
we're not here to solve your questions for you
strange heath
what step u on
lone heartBOT
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dapper veldt
can someone help me find more information on this? like what is it, why is it useful, which course do you learn it in and where can I find more about it
lone heartBOT
can someone help me find more information on this? like what is it, why is it us...
@dapper veldt Has your question been resolved?
remote heron
can someone help me find more information on this? like what is it, why is it us...
they're just a way of formalizing a rule, I think
like you could think of maybe conways life like this?
im certain there are more sophisticated examples
but thats what comes to mind
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dusty quiver
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dusty quiver
I need some help with this graph theory problem.
I was trying proof by contradiction, but then I'd need to justify that odd length cycle implies an odd length induced cycle which contradicts every induced cycle being even-length from my understanding.
So my tradeoffs are either showing this, or trying to prove that induced cycles of even length implies a graph is bipartite. Can I get some advice about this? 😅
lone heartBOT
@dusty quiver Has your question been resolved?
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@dusty quiver Has your question been resolved?
dusty quiver
<@&286206848099549185> Bumping this thread again 
fresh wharf
Bonjour j'ai un problème avc cette exercice j'ai fais la deuxième partie de la question 1 et j'ai fais la question deux. Par contre je n'arrive pas a fair la première partie de la question 1 et la question 3
lone heartBOT
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manic wyvern
Bonjour j'ai un problème avc cette exercice j'ai fais la deuxième partie de la q...
! occupied
lone heartBOT
Bonjour j'ai un problème avc cette exercice j'ai fais la deuxième partie de la q...
Someone else is already using this help channel. If you need help with a question, please open your own help channel/thread (see #❓how-to-get-help for instructions).
manic wyvern
!help
lone heartBOT
To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.
dusty quiver
Yeah this is trickier than i anticipated. I am not sure how to justify that building larger cycles out of smaller induced ones will still be even since i dont know how many edges are being shared
Although am I making it more complicated than I should <@&286206848099549185> ?
Like, maybe it's better to prove the result directly but I can't see a nice way of doing it
lone heartBOT
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final badge
Im not sure if theres anything more to do here
lone heartBOT
Im not sure if theres anything more to do here
final badge
is this it for the answer?
wait, what?
where?
ohhhhhhhhhhhh
i see now
x^3
x^2
thanks!
uh?
oh
is this good?
thanks!
.close
final badge
Did I get the right answer?
lone heartBOT
Did I get the right answer?
final badge
i wonder if i should add x+4 under 3,785
empty cedar
Do you need to do that? All the question is asking you to do is to evaluate the function at x=4
final badge
Do you need to do that? All the question is asking you to do is to evaluate the ...
?
wdym
empty cedar
Do you know what f(4) means
empty cedar
Yes
Remainder theorem says that if f(x) is divided by (x-r) then f(r) is the remainder
So this is basically just asking "whats the remainder if f(x) is divided by (x-4)"
final badge
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lone heartBOT
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jagged knoll
hey i need help with an entire test right now i guess it's tutoring just pls this is really frustrating me and stressing me out
the class is Mathematics In Context, the subject is Apportionment Methods. this ish makes no sense
vital jasper
jagged knoll
its a homework assignment
jagged knoll
im tryna survive on these streets i got so mad i wanted to throw something earlier
i just. rly want help
rose sigil
it’s ok, just post your questions
jagged knoll
heres one example
i think i know how to find the standard divisor but its the second part that fluffing baffles me..
i dont even get what this question is asking me
"how many people for each seat" how does that even make sense what does that even mean as a question like is it not 1 person to a seat HOW and WHY is that a question
.close
lone heartBOT
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solar berry
e
carmine reef
e
solar berry
I have a question
carmine reef
I have an answer
solar berry
lemme load up ms paint
dont mind drawing skills
i know im amazing
would that just float like that
solar berry
I have an answer
what is your answer
carmine reef
the rope would fall down to the earth
brazen jackal
there is no force that pushes the rope up
carmine reef
or fall in
carmine reef
ropes aren't rigid
carmine reef
every point would get pulled inwards at the same time
points wouldn't be held up by the points around them because they'd also be falling
I doubt you could have a mile section of rope held up only by it's ends in any case
the middle would droop down and touch the ground
If you kept trying to pull the ends harder to prevent that it wouldn't work and eventually the rope would break
solar berry
If you kept trying to pull the ends harder to prevent that it wouldn't work and ...
no, the rope is unrealistic so it cant break
solar berry
bt the tension is keeping it stright
lone heartBOT
@solar berry Has your question been resolved?
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@solar berry Has your question been resolved?
unkempt mica
Hi! I have a quick topology/analysis question. Consider the metric space defined by upper half plane $\mathbb{H} = {(x,y) \in \mathbb{R}^2 \mid y>0}$ and the euclidean distance. Would a half circle of the form $S = {(x,y) \in \mathbb{H} \mid x^2 + y^2 \leq \epsilon}$ be considered closed in $\mathbb{H}$?
ocean sealBOT
LF
unkempt mica
<@&286206848099549185>
lone heartBOT
@unkempt mica Has your question been resolved?
lone heartBOT
@unkempt mica Has your question been resolved?
lone heartBOT
@unkempt mica Has your question been resolved?
novel dove
heyy
novel dove
i dont understand rathional functions
and i whould love it if someone whould teach me it
dawn isle
first u should find 4% of 72g bottle
novel dove
then do (4% of 72) + x / 72 + x = 0.20, solve for x
oh alright
dawn isle
u should get 14.4
novel dove
hold on im still trying to do the work to get that give me momment
yup i got it
so is that the answer? or is there more we have to add
dawn isle
i don’t think we need to add more
white whale
u should get 14.4
That's just 72/5
novel dove
can you show the full question
that is the full qn
novel dove
That's just 72/5
?
dawn isle
oh the teacher wanted it to be fractions
novel dove
so i should put in 72/5
white whale
What's the rest of the 72g bottle filled with? The 4% blend?
novel dove
What's the rest of the 72g bottle filled with? The 4% blend?
unkown this is a rational eqution word problem
everthing i was told is in that picture
dawn isle
fractions are so annoying
white whale
Damn
dawn isle
teachers being too much asking us for fractions
novel dove
teachers being too much asking us for fractions
i swear
white whale
If we assume it's filled with the 4% blend, and we need to add x grams of onion powder,
x+0.04(72-x)=0.2*72
0.96x=0.16*72
x=12
novel dove
If we assume it's filled with the 4% blend, and we need to add x grams of onion ...
yup it was 12
novel dove
If we assume it's filled with the 4% blend, and we need to add x grams of onion ...
how did u get that tho?
if u have the time to explain it please do
white whale
x grams pure onion powder
4% of the rest (72-x) grams is onion powder
Overall 20% of the bottle (72g) is onion powder.
So 100% * x + 4% * (72-x) = 20% * 72
dawn isle
i read the question wrong mb
lone heartBOT
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clear vale
.
pine brook
can someone verify my work for linear algebra
lone heartBOT
can someone verify my work for linear algebra
No need to ask “Can I ask…?” or “Does anyone know about…?”—it’s faster for everyone if you just ask your question! See https://dontasktoask.com/
@pine brook Has your question been resolved?
agile sleet
what is this equal to?
lone heartBOT
what is this equal to?
agile sleet
is it just {1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 14} ?
rugged kestrel
yes
agile sleet
okay, thank you
also another question rq
so if we have the set R\N, what is its lower bound and upper bound?
they're just the empty set ∅, right?
thus, minimum and maximum do not exist, and infimum of the set is negative infinity and maximum of the set is infinity, no?
<@&286206848099549185> :(
lone heartBOT
@agile sleet Has your question been resolved?
agile sleet
guys also, how do i define this set 
lone heartBOT
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final badge
how did they get 4 for imaginary zeroes?
lone heartBOT
how did they get 4 for imaginary zeroes?
final badge
where on the graph?
unique dune
how many solutions are there for 6th degree polynomial
by fundamental theorem of algebra
final badge
(x-2)^4
final badge
yeah
unique dune
that is a four degree polynomial, correct?
final badge
half of those are probably __+__2i
unique dune
ignore what the solutions are
unique dune
that is a four degree polynomial, correct?
.
lone heartBOT
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lavish shell
Sorry the questions in German but I'm having a bit of a brain fart trying to understand why we would use 3cos(38) and 3sin(38) to find the length and height respectively in part b of the question
lavish shell
The question is in regards to a hammer that was dropped down an angled roof, and if it would be able to hit a man standing a ways away
Part b asks us to find an equation for trajectory of the hammer
lone heartBOT
@lavish shell Has your question been resolved?
lavish shell
<@&286206848099549185>
charred basin
What lesson is that-
lavish shell
not a problem, ill just wait
exotic belfry
i would do it this way:
and that would explain why 3 cos(38) and 3 sin(38)
and you have this:
lavish shell
i agree that would make sense
also kinda confused as to why we're using gsin(38) t v for the velocity
wouldnt that only give the vertical component of the velocity
exotic belfry
wouldnt that only give the vertical component of the velocity
what would you suggest?
lavish shell
i assumed the diagonal velocitywould be gt
as in the next step we have to split the distance into horizontal and vertical again
exotic belfry
the acceleration g acts vertically, but you need an acceleration that is not only vertical. so you need to adjust it.
lavish shell
how does multiplying it by sin38 give us the diagonal?
doesnt the hyp x sin give us the vertical?
exotic belfry
how does multiplying it by sin38 give us the diagonal?
again: what would you suggest?
lavish shell
im assuming since the intial horizontal acceleration is 0. Using pythogarean theorem the resultant diagonal acceleration would be g as well
exotic belfry
hwo can a vertical accelaration and its "diagonal" component have the same value?
exotic belfry
now clear why you need sin 38?
lavish shell
yeah i see it
we get f2 as gsin38
and a normal force as cos 38
that clears everything
thanks for the help
.close
agile copper
help
agile copper
lone heartBOT
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
I got 2y^2 - 2y - y+1 = 0
manic wyvern
Hey tistic, I'm dad
agile copper
Hey tistic, I'm dad
Hi dad
manic wyvern
Lol
agile copper
you have to help me
exotic canopy
I got 2y^2 - 2y - y+1 = 0
correct
agile copper
cinder tundra
How is that correct? Am i missing something?
agile copper
this y+1
agile copper
no it's correct
exotic canopy
How is that correct? Am i missing something?
which part seems wrong?
exotic canopy
not yet
agile copper
interesting
exotic canopy
what do you get?
cinder tundra
I might be misunderstanding the problem, but how is 2y^2 related to 2^(2x+1)?
agile copper
(u-1)(2u-1)=0
exotic canopy
I might be misunderstanding the problem, but how is 2y^2 related to 2^(2x+1)?
$2^{2x+1} = 2\cdot 2^{2x}$
ocean sealBOT
artemetra
exotic canopy
(u-1)(2u-1)=0
correct except it's y and not u
exotic canopy
,rccw
ocean sealBOT
agile copper
nice
ocean sealBOT
artemetra
exotic canopy
what can y be, then?
agile copper
y = 1/2 or y=1
exotic canopy
great
cinder tundra
U check the results first
agile copper
how to check
cinder tundra
U have ti replace back
agile copper
oh yea
cinder tundra
To get x, u have y
cinder tundra
Take log_2 both sides
agile copper
whats log_2
lone heartBOT
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surreal fiber
calculate number of elements in set:
lone heartBOT
calculate number of elements in set:
@surreal fiber Has your question been resolved?
surreal fiber
<@&286206848099549185>
tacit arch
calculate number of elements in set:
Just brute force
carmine forge
what the diffence between a stirct subset annd a subset
lone heartBOT
what the diffence between a stirct subset annd a subset
alpine sable
what the diffence between a stirct subset annd a subset
A subset of A is just a set whose elements are all in A
So for example a subset of {1,2,3} would be {1,3}
But {1,2,3} is also a subset of {1,2,3}
However it's not a strict subset
A strict subset of A is a subset of A that is not the same as A
So every subset of {1,2,3} is a strict subset of {1,2,3} except {1,2,3} itself
Does that make sense?
alpine sable
and subset is when its the asme
No
A subset doesn't have to be the same
But it can be the same
Every strict subset is a subset
For example, {1,2} is a strict subset of {1,2,3}, which makes it a subset by definition
carmine forge
so it still a subset but more accuratley its a strict subset
alpine sable
Yes
"strict subset" is just more specific
By the way, they're also called proper subsets
carmine forge
carmine forge
By the way, they're also called proper subsets
oh
alpine sable
You don't have to do C just because it's a proper subset
carmine forge
maybe but i dont think i would get the marks
alpine sable
${1,2}\subseteq{1,2,3}$
ocean sealBOT
jan Lapiwin is also jan Niku
alpine sable
this is entirely correct
I just recommend using the proper subset symbol if you know for sure it's a proper subset, and using the subset symbol if you're not sure whether it's a proper subset or know it isn't one
carmine forge
is an empty set always a proper subset of a set
alpine sable
is an empty set always a proper subset of a set
No, the empty set is not a proper subset of itself
carmine forge
beside from that it would be proper subset
alpine sable
Yes, it's a proper subset of every set except itself
And it is a subset of every set
carmine forge
alright thank alot i understand it now
alpine sable
alright thank alot i understand it now
Then please close this channel by typing .close
carmine forge
.close
lone heartBOT
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Available help channel!
wanton fossil
B -1 3
0 5
2 5
A 3 1 2
2 0 5
lone heartBOT
B -1 3
0 5
2 5
A 3 1 2
2 0 5
errant pine
вот эти плюсы лишние, выглядят они так, будто ты суммируешь разные элементы матрицы без причины, а такого быть не должно. из-за этого ты перепутал на нижней строке и прибавил десятку к двум, а не к шести, и получил элементы 6 12, когда должно быть 16 2
wanton fossil
вот эти плюсы лишние, выглядят они так, будто ты суммируешь разные элементы матр...
Спасибо друг
Щас попробую
errant pine
;3
wanton fossil
errant pine
Теперь всё верно?
по оформлению гораздо лучше, но по-моему ты напутал в подсчете третьего элемента в первой строке, пересчитай
wanton fossil
по оформлению гораздо лучше, но по-моему ты напутал в подсчете третьего элемента...
15+4 это 19
Или я путаю?
errant pine
в этом ты прав, но я не понимаю, откуда у тебя 4 появилось
если исходные матрицы не менялись
wanton fossil
Всё время где то путаю
Щас бы головой разбиться
Нахрена мне на лингвиста выс. Мат?
Ахх
errant pine
тут не могу ответить
wanton fossil
Просто я смотрел в инете как его решает
И он отличается
Решением препода
В инете на две страницы
А она за пол листка решила
Но я не понял
errant pine
знаешь про элементарные преобразования матриц?
errant pine
понял
wanton fossil
Пожалуйста
wanton fossil
Спасибо
errant pine
этот мужик много поколений студентов спас
wanton fossil
Щас подожди
У него есть метод Крамера и матричный метод с помощью обратной матрицы?
errant pine
метод крамера точно есть, про обратную матрицу не помню, поищи
pale topaz
can someone explain this transition please
lone heartBOT
can someone explain this transition please
pale topaz
what is this rule?
gray isle
negative exponent law
lavish cave
what is this rule?
laws of indices, $u^{-1} = \frac{1}{u}$
ocean sealBOT
higher's secret twin brother
lavish cave
so can you now simplify $\frac{1}{4} \frac{1/u}{-1}$?
ocean sealBOT
higher's secret twin brother
pale topaz
$\frac{1}{4} \frac{u^-1}{-1} = \frac{1}{4u}$
ocean sealBOT
Frank
pale topaz
so can you now simplify $\frac{1}{4} \frac{1/u}{-1}$?
what the hell how can you type so fast
lavish cave
practice
pale topaz
you're dividing by -1 so you need the negative of that
so how did he get the - sign before the fraction on the second image
does it matter where you place it?
in the video he did like a switch or something, really fast but without explanation
pale topaz
**higher's secret twin brother**
I know this rule yes, but he did like an instant switch
lavish cave
so how did he get the - sign before the fraction on the second image
okay, so if you divide 1/u by 4
then you divide again by -1
the exact order doesn't matter
$\frac{1/u}{4} = \frac{1}{4u}$
$\frac{1/(4u)}{-1} = -\frac{1}{4u}$
ocean sealBOT
higher's secret twin brother
pale topaz
I got like 135 wpm but aint no way I can write these fractions in a milisecond
lavish cave
nw!
pale topaz
nw!
the guy in the yt video he did it like instant, is there also a way to see that or is that just intuition
lavish cave
it's just what happens naturally when you practice
pale topaz
it's just what happens naturally when you practice
thanks 🙏
lavish cave
if you are substituting u = something, then you have a fraction
if you are substituting x = something, then there's no fraction
you get dx = f'(u) du so you can just replace dx
pale topaz
if you are substituting u = something, then you have a fraction
wait this I don't understand
in what context is this
lavish cave
wait this I don't understand
like in u-sub, in general
cause in the example they had to find what du is, and then rearrange to replace dx
lavish cave
if you are substituting u = something, then you have a fraction
you have to do that whenever you are doing this
yep
pale topaz
hopefully one day I can write these fractions in a millisecond aswell what a flex man
🙏
.close
alpine sable
Could someone explain this pls
lone heartBOT
Could someone explain this pls
lavish cave
Could someone explain this pls
can you use the power rule to differentiate f(x)?
alpine sable
can you use the power rule to differentiate f(x)?
yeah ig
take sqrt x outside the denominator then apply the power rule
lavish cave
great then you can just set f'(2) = 3 and find p
alpine sable
great then you can just set f'(2) = 3 and find p
yeah thats where im stuck at
lavish cave
oh so what did you get?
alpine sable
oh so what did you get?
i got till -6/p (2) ^ -3/2 +1 not sure where to go after this
lavish cave
i got till -6/p (2) ^ -3/2 +1 not sure where to go after this
sub in $x = 2$ and you get $\frac{12}{p}\cdot-\frac{1}{2} \cdot 2^{-\frac{3}{2}}+1=3$
ocean sealBOT
higher's secret twin brother
lavish cave
so if we clean this up, we get $-\frac{6}{p} \frac{1}{2^{3/2}} = 2$
ocean sealBOT
higher's secret twin brother
lavish cave
hopefully you know how to continue?
alpine sable
hopefully you know how to continue?
no unfortunately
lavish cave
no unfortunately
can you write 2^(3/2) as something * sqrt(2)?
alpine sable
can you write 2^(3/2) as something * sqrt(2)?
yeah 2 sqrt 2^3 iirc
lavish cave
yeah 2 sqrt 2^3 iirc
no
lavish cave
you know your laws of indices right, so $2^{3/2} = 2^{2/2} \cdot 2^{1/2}$
ocean sealBOT
higher's secret twin brother
alpine sable
**higher's secret twin brother**
yeah
lavish cave
**higher's secret twin brother**
great, so multiply everything by $p \cdot 2^{3/2} = p \cdot 2 \sqrt{2} = 2p \sqrt{2}$
ocean sealBOT
higher's secret twin brother
lavish cave
$-6 = 4p \sqrt{2}$
ocean sealBOT
higher's secret twin brother
lavish cave
thanks man i got it now
yep so actually it would help to multiply both sides by sqrt(2) again
if you were super smart you could know to multiply everything by 2^2
lavish cave
**higher's secret twin brother**
at this step or somewhere
there's no need though
smaller steps are easier on the brain
np!
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alpine sable
What are some good pdfs I can read for Laplacian Transformations
alpine sable
Also would help If I coudl get a pdf Cuz I need it urgently.
buoyant minnow
What are some good pdfs I can read for Laplacian Transformations
there is a channel, #book-recommendationsmaybe try asking there too!
alpine sable
Okk thanks!
supple cloud
I gave up and looked up the answer online. I dont know where the -3 came from or why it stops at 8/3 including
fickle heath
x=-3 would make the denominator equal 0
fickle heath
x <= 8/3 is stronger than x =/= 3
supple cloud
because?
fickle heath
supple cloud
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swift saddle
why did organic chem tutor not consider P(0)? 0 is a possible value for the number of students and P(0) is small but non zero probility.
pseudo ice
They really should have 
swift saddle
so he did a fucky wucky?
is this one also wrong?
the probability of the 10th person being a teacher is the same as the first person being a teacher = .04
its not geometric because it doesnt say the first teacher
sick tangle
how can I draw the graph of
lone heartBOT
how can I draw the graph of
sick tangle
x^3 + 1
haughty wigeon
do you know the graph of x^3?
then you just apply the "+1" transformation
u also can search for the x-y intercepts and then graph some points and joining them together
mossy jasper
If you don't know the shape then you can just put in different x values to get the y values at those points
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mossy jasper
!occupied
lone heartBOT
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devout crest
Can someone help with #10?
lone heartBOT
Can someone help with #10?
devout crest
I wrote down what x and y mean
but I don’t know anything else
<@&286206848099549185>
aaaaaa
pls someone I need help 😭
hhh
haughty wigeon
x axis means the number of items bought by the costumer
y axis means the money the spent
then:
scale meaning a function transformation? right?
fiery rain
it's the range between each grid
fiery rain
yes 2 is the scale of y axis
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severe briar
Hello Let f be a nilpotent endomorphism of E and P a polynomial of degree less than or equal to n-1. Show that P(f) is nilpotent if and only if P(0) = 0. I'm having a bit of trouble here with the definition of nilpotent. By def, nilpotent => there exists p >= 1 as f^p = 0. But here with the polynomial, I don't know what that means.
lone heartBOT
Hello Let f be a nilpotent endomorphism of E and P a polynomial of degree less t...
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severe briar
<@&286206848099549185>
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severe briar
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dark chasm
Hello
vale crag
Hello Let f be a nilpotent endomorphism of E and P a polynomial of degree less t...
re lingrod
severe briar
@vale crag re ca fait longtemps 🙂
vale crag
But here with the polynomial, I don't know what that means.
si f c'est un endo, P(f) c'est aussi un endo, il y a rien qui change à la définition
severe briar
donc c'est (P(f))^p = 0 ?
vale crag
oui il existe un entier n >= 1 tel que P(f)^n = 0
la flemme d'utiliser deux p c'est trop galère lol
dark chasm
hm..
vale crag
mais ouais concernant l'équivalence que t'as à montrer, comme très souvent, il y a la direction facile et la direction un peu plus chiante
P(0) = 0 -> P(f) nilpotent c'est pas très dur
severe briar
oui
j'étais entrain d'écrire n'importe quoi pour la deuxième implication je crois que je dois aller me coucher mdr
vale crag
as you wish
severe briar
Si jamais tu as une idée pour que je puisse méditer dessus pendant la nuit 🙂
vale crag
hmm je crois avoir un truc
severe briar
@vale crag je voulais travailler au depart avec un polynome interpolateur mais jsp si ct une bonne idée
vale crag
c'est déjà assez capillotracté comme truc
moi je balance le bon gros binôme de newton
en notant $P(x) = a_kx^k + \cdots + a_0$, t'as $P(f) = a_kf^k + \cdots + a_0I$
$P(f)$ nilpotent ça veut dire qu'il existe un $n \geq 1$ tel que $$(a_kf^k + \cdots + a_0I)^n = 0$$
l'idée c'est de splitter le polynôme en deux parties $(a_0I + $ le reste $)^n$
aPlatypus
severe briar
Mmmmh celle la fallait aller la chercher
vale crag
hmm je dis peut-être des conneries en vrai
severe briar
J'ai du mal a me projeter dans la suite de ton raisonnement
après en soit le noyau Ker(P(u)) est stable par u
vale crag
ultimement je voulais faire un truc du style, ok "le reste" est nilpotent donc tu peux trouver un n tel que le seul terme restant c'est a_0^n I
mais c'est n'imp
severe briar
bon je skip tant pis mrc quand même
tu fais un master de maths si je me souviens bien, bon courage pour ton année a + @vale crag
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halcyon marten
I need help
lone heartBOT
I need help
halcyon marten
I have no idea how to solve a problem like this
so i just change
the stuff with T or F already in it?
lone heartBOT
ocean whale
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pliant sparrow
I can try and help. What have you attempted?
halcyon marten
I just don’t understand it. Like what am I supposed to change?
pliant sparrow
So consistency as I understand it means all the sentences (A,B,C) in the statement can all be true at once. Meaning they don't lead to a logical contradiction if they are all true at once. So, of course if they do lead to a contradiction, then the statement will be inconsistent.
I'm guessing if you are working on consistency in logical statements, you've already gone over things like what makes an "and" operator true or things like distribution?
If you want to understand how to fill out the truth table we can do that, but I'm kind of giving you a hint as to what the answer might be. I worked out the statement and I think I know what's going on.
I could be wrong, but I'm fairly confident.
lone heartBOT
@halcyon marten Has your question been resolved?
As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
pliant sparrow
my bad
modern wyvern
Hello, this is an open book , open group hw I was wondering which one I'm wrong on, it's an all or nothing type of selection
modern wyvern
ohh
hazy iron
should be plus, not comma
E=-2x and E=y
fathom grove
they're just vector sums i believe
modern wyvern
i already had gotten these anwers wrong previously I just wanna be re-assured for future references I got deducted on this graph
hushed locust
i think A, F, G are the only right answers
fathom grove
i think A, F, G are the only right answers
oh yeah, b doesn't have the vector sign
and the <> notation is used exclusively for the raw coefficients
not for vector sums
fathom grove
np
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austere charm
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hushed locust
,, -20\sqrt[3]{5r} +2r\sqrt[3]{5r} = (-20 + 2r)\sqrt[3]{5r}
ocean sealBOT
cloud
austere charm
Is it because they don't both have r before?
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thorn kindle
Prove that if G is a group of order 28, then it must have a subgroup of order 7
lone heartBOT
Prove that if G is a group of order 28, then it must have a subgroup of order 7
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dry sleet
Lagrange's theorem states that for any subgroup H of a finite group G, the order of the subgroup divides the order of the group; that is, |H| is a divisor of |G|. In particular, the order |a| of any element is a divisor of |G|. (wikipedia)
so uh Lagrange's theorem theorem is the proof, cause 28/7=4
mortal trellis
thats not how lagrange works. it says if there is a subgroup, then the order of it is a divisor of 28
lagrange says nothing about the existence of such a subgroup
dry sleet
never mind then
alpine sable
A Diagonal of a rectangle is inclined to one side of the rectangle at 25 degrees .The acute angles between the diagonals is :
exotic hawk
50 ig
exotic hawk
let me send a photo
exotic hawk
exotic hawk
i thought you asked me to send it lol
lol
frozen tiger
aside from me doing 20 values instead of 10, what'd I do wrong
uneven isle
hold on wait fixed the 20 10 thing
that doesnt look too off
can u check what wolfram gets for approximation
if u arel ike reasonably close then u probably did it correct
lone heartBOT
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frozen tiger
if u arel ike reasonably close then u probably did it correct
not even close
the answer is like 6
well
suffering ig
tomorrow I do this
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uneven isle
the answer is like 6
@frozen tiger
wolfram approximates 2.66319
thats pretty close to your 2.81388
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dawn timber
(24y-8)+7=29
Given the equation, what is the value of
3y-1?
lone heartBOT
(24y-8)+7=29
Given the equation, what is the value of
3y-1?
dawn timber
I reached till 3y-1+7=29
but now what
should i isolate y or continue with the pair of 3y+1
tawdry sapphire
subtract 7 from both sides
dawn timber
3y+1=22
split mantle
I reached till 3y-1+7=29
If you divide (24y-8) by a factor of 8, that means you gotta do with all other expressions, I.e. 7 and 29.
lone heartBOT
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dawn timber
If you divide (24y-8) by a factor of 8, that means you gotta do with all other e...
didnt understand
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formal fiber
Help
torpid dirge
whats the original question
torpid dirge
whats the original question
torn kayak
I cant understand anything
formal fiber
115
lavish cave
115
indeed the result should be $2\pi \left[ \frac{y^3}{3} \cdot \frac{1}{3} \right]_0^3$
ocean sealBOT
south's secret twin brother
lavish cave
you were right
formal fiber
But is 54pi
lavish cave
you sure the answer is 54pi?
lavish cave
Help or i wrong?
yeah the answer is correct
$\pi\cdot3^{2}\cdot9-\frac{1}{3}\cdot\left(\pi\cdot3^{2}\right)\cdot9 = 54 \pi$
formal fiber
@lavish cave And mathway tell me y^3/3/3 is y^3
ocean sealBOT
south's secret twin brother
formal fiber
No
lavish cave
but do you get that it's revolving around the y-axis?
formal fiber
How you have thats answer
lavish cave
so I don't think your integral setup is correct
lavish cave
How you have thats answer
volume of cylinder - volume of cone
formal fiber
Nvm thx
lavish cave
,w integrate (2pi) * (3 - y/3) * (y) from 0 to 9
ocean sealBOT
lavish cave
oh whatever, I know I'm close
formal fiber
X-X
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plain pelican
If p, q are two projections of rank 1 from a vector space E, it is clear that Im(p) is isomorphic to Im(q). Is it possible to show that Ker(p) is isomorphic to Ker(q) without using the axiom of choice ?
Many thanks !
lone heartBOT
If p, q are two projections of rank 1 from a vector space E, it is clear that Im...
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pale topaz
discrete math question: how to get the minimal cut of this?
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discrete math question: how to get the minimal cut of this?
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steep stump
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steep stump
why are we using the derivatives of f at (2,-3) and not (1,2)
waxen flame
why are we using the derivatives of f at (2,-3) and not (1,2)
Pay attention to the definition of what g(s,t) is.
It's not g(s,t) = f(s,t).
lone heartBOT
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devout shale
Hey! I am trying to get this sheet of paper looked at. It’s for statistics. I am working on solving binomial probability distributions. Can I have someone check over this paper and see if this is all correct? Am I over complicating things? Is some of this info wrong?
devout shale
The second photo is what I’m referring to in the purple text on the full sheet of paper; “See 5.2 HW Q5”
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devout shale
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inner sage
How do I do this?
In a self paced math class, I've worked my way backwards from youtube videos to get the radius of 12. But I don't know how to clean it up?
On the right was a youtube solution I used to work my way backwards to get the solution on the left.
inner sage
Hoping there is a formula for calculating the volume to radius that would clean up my answer.
tardy stag
you have the right idea, i'd probably write it something like
,, \begin{align*}
V &= \f43\pi r^3 \
2304\pi cm^3 &= \f43\pi r^3 \
\f34\cdot2304\pi cm^3 &= \pi r^3 \
1728 cm^3 &= r^3 \
12 cm &= r
\end{align*}
ocean sealBOT
hayley is not layla
waxen bison
Hoping there is a formula for calculating the volume to radius that would clean ...
i mean technically you could find a general formula for the radius
if u isolate r
if you memorize that it could be a little faster ig
inner sage
you have the right idea, i'd probably write it something like
Thanks so much, I spent so much time trying to make an answer that doesn't matter.
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narrow swift
what do you call this shape?
lone heartBOT
what do you call this shape?
tacit arch
Cubic maybe
narrow swift
Cubic maybe
like what type of line
tardy stag
doesn't look like a line to me
narrow swift
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stray ruin
Hi
stray ruin
I don’t understand what I’m doing wrong
buoyant saddle
()
it’s not increasing or decreasing at the turning points
you used closed brackets
lone heartBOT
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idle rune
i have no idea how to solve this, anyone help?
lone heartBOT
i have no idea how to solve this, anyone help?
tacit arch
i have no idea how to solve this, anyone help?
,tex .log rules
ocean sealBOT
riemann
frank merlin
idle rune
how do i do that?
sry im a bit dum
idle rune
ah alr one sec
i got 1/z
no way!!
it's correct
tyyy
but i probably wouldn't have gotten it right if there were no options, which is a problem
r there any other methods to do it?
oh shi i got it
thanks yall
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dreamy parrot
im tutoring math, and im trying to explain to my students the pythagorean theorem
lavish cave
im tutoring math, and im trying to explain to my students the pythagorean theore...
there are a million proofs and visuals online
if you still want to discuss this, #geometry-and-trigonometry would be a better place to discuss your question