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ronak jain
ronak jain
07:09
@HrishabhNayal here ?
Hrishabh Nayal
Hrishabh Nayal
@ronakjain Yes
ronak jain
ronak jain
@HrishabhNayal can you explain me about linear independence and dependence of vectors ? I know the definition but I am not able to understand what that means
Hrishabh Nayal
Hrishabh Nayal
@ronakjain you mean you don't understand the definition?
ronak jain
ronak jain
@HrishabhNayal the definition doesn't explain the intuitive behind introducing these terms
@HrishabhNayal i know the definition but what is the use of these ....
Hrishabh Nayal
Hrishabh Nayal
@ronakjain what do you mean by use?
ronak jain
ronak jain
07:14
@HrishabhNayal just what is intuitive behind introducing these terms
Hrishabh Nayal
Hrishabh Nayal
@ronakjain Are you asking a practical use? I don't know that unfortunately
ronak jain
ronak jain
@HrishabhNayal i am not able to understand why these terms are introduced ? Just memorizing the definition seems quite useless to me
Hrishabh Nayal
Hrishabh Nayal
9
A: What exactly does linear dependence and linear independence imply?

Owen SizemoreIntuitively vectors being linearly independent means they represent independent directions in your vector spaces, while linearly dependent vectors means they don't. So for example if you have a set of vector $\{x_1, ..., x_5\}$ and you can walk some distance in the $x_1$ direction, then a differe...

ronak jain
ronak jain
Ok. Let me see ....thanks for it
Hrishabh Nayal
Hrishabh Nayal
I dunno how much it will help you tbh..its a shot in a dark actually
 
6 hours later…
Tapi
Tapi
13:34
Let $f : \mathbb{R} → \mathbb{R}$ be a function such that $| f(x) − f(y)| ≤ 6|x − y|^2 \forall x, y ∈ R$. If $f(3) = 6$ then $f(6)$ equals?
It seems that the function is constant but I can't prove it.
 
1 hour later…
Advil Sell
Advil Sell
14:42
@Tapi $$\dfrac{|f(x) - f(y)|}{|x-y|} \leq 6|x-y|$$ now set $x = y+h$ and take $\lim h-> 0$
Jack Rod
Jack Rod
@Tapi what did you get after differentiating it
F'(x) is coming out be zero
It mean function is constant
So all have same value
@AdvilSell hi
Advil Sell
Advil Sell
yo!
Jack Rod
Jack Rod
Yaar! Did you got a branch change?
Advil Sell
Advil Sell
No I didn't tried for it
Jack Rod
Jack Rod
Why?
Advil Sell
Advil Sell
14:46
I like biotech
it's fun and interesting
@JackRod I forgot your branch
Jack Rod
Jack Rod
Cs
Advil Sell
Advil Sell
Noice!
Jack Rod
Jack Rod
Yaar I am confuse
Like I feel like giving up
Advil Sell
Advil Sell
why? what happened?
Jack Rod
Jack Rod
Ghar ke andar pagal ho gaya hun,my whole day went on computer
Some time I feel like koi arts college join kar leta
Mast maze karta
Advil Sell
Advil Sell
14:49
@JackRod that's the case with everyone lol
don't worry college khul jayenge
@JackRod kyun CS padhne mein maja nai aa raha ?
Jack Rod
Jack Rod
@AdvilSell nahi yaar during the lockdown I realize what my real love is
Advil Sell
Advil Sell
what?
Jack Rod
Jack Rod
Physics it sound stupid but I most of the times read physics book
Even in the lectures
Advil Sell
Advil Sell
it's not stupid at all dude
if you love physics then go for it
everything kinda mix my as we go
Jack Rod
Jack Rod
I can't my dad is happy for me
Advil Sell
Advil Sell
14:52
arey I am not saying to change your "branch"
there are many interdisciplinary things
Jack Rod
Jack Rod
Haan
Pata hain
Advil Sell
Advil Sell
toh kisi acche physics professor ko dhund le
Jack Rod
Jack Rod
Muje pata hain grades ab acche nahi aayenge
Advil Sell
Advil Sell
ghanta farak padta hai grades se
Jack Rod
Jack Rod
Bhai idhar sabh teh leke rote hain
Advil Sell
Advil Sell
14:54
arey koi farak nai padta
maine logon ko dekha hai jinki CG 7.5 se niche thi aur wo MIT mein hain aaj
pursuing PhD
Jack Rod
Jack Rod
Are you looking for PhD?
Or mtech after graduating
Advil Sell
Advil Sell
yes most probably
MS+PhD
@JackRod no
Jack Rod
Jack Rod
It would take more 3-4 years
Advil Sell
Advil Sell
toh kya hua?
Jack Rod
Jack Rod
Ghar wale man jayenge?
Advil Sell
Advil Sell
14:57
it's not like I need to support my family after graduation
my dad is 45 so he have 15 years of job before retirement
@JackRod han kyun nai
Jack Rod
Jack Rod
Do you know vineeta bal?
Advil Sell
Advil Sell
Yeah she is Immunologist if I am not wrong
Jack Rod
Jack Rod
Yes
Aise bol diya lol
.
Advil Sell
Advil Sell
xD
Jack Rod
Jack Rod
Muje laga yeh naam kaafi popular log tumhari branch mein
Advil Sell
Advil Sell
15:02
utna popular nai hai par phir bhi kafi popular hai
Jack Rod
Jack Rod
@AdvilSell aacha lag raha yaar baat karke
Yaar akle rah kar azib se thought aate hain
Advil Sell
Advil Sell
@JackRod Nice!
@JackRod han woh hai
Jack Rod
Jack Rod
@AdvilSell what about Jasmine is she got good rank?
Advil Sell
Advil Sell
Not that good but still fine
she is more towards adv.
Jack Rod
Jack Rod
Oh!
Or abhi kya chal raha hain online class mein
Advil Sell
Advil Sell
15:05
kuch nai yaar
boring chisen chal rahi hai abhi
timepass hai online class
afk
Jack Rod
Jack Rod
Yes
Kai idea aaye dimag mein
During the lockdown like I and my friend who are like me thinking to create a app a unique app
Which manages your all account in one platform.
Tapi
Tapi
$lim_{h \to 0} \frac{|f(y+h)−f(y)|}{|h|}≤lim_{h \to 0} 6|h|$. The LHS is like $f'(y)$ but it's not given that f is differentiable.
Jack Rod
Jack Rod
@AdvilSell good night my friend
Advil Sell
Advil Sell
@JackRod Good night bro!
@Tapi huu..that's a point too
@Tapi I think the equations also prove it's differentiable
Jack Rod
Jack Rod
15:20
@Tapi yes
Advil Sell
Advil Sell
since the equation effectively says that $\dfrac{f(y+h) - f(y)}{h} = 0 $
*lim of that thing
Tapi
Tapi
okay thanks

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