Ok cool
#help-19
mystic saffron
Well ill restate
Pretty much binomial random variables track the number of successful trials
So like you will see X ~ Binom(n,p)
Where n is number of trials and p is the probability of a success on each trial/attempt/reptitive experiment(like a test question)
The reason we care about this is because it can help us answer our question easily if we know the formula for P(X=k) for a binomial random variable X
So using this
Ill get to point quicker
We can use this fact and apply binomial random variable formula but it would take a long time
So instead we use rule of complements
if E={X>=1} then E^c={X<1}={0}
so we know P(E)=1-P(E^c)=1-P(X=0)
And from here you can directly apply binomial random variable formula
Or you can reason by saying there are 2^12 total outcomes and 1 way to get none of them correct
ocean geode
odd edgeBOT
@ocean geode Has your question been resolved?
odd edgeBOT
odd edgeBOT
Available help channel!
rapid geode
f(x) = (-3)/(e^2x -4e^x +3) when I tried to find the min/max point I got a max point, but the book says it's a min point, I am confused
crude skiff
f(x) = (-3)/(e^2x -4e^x +3) when I tried to find the min/max point I got a max p...
can you please send your work?
rapid geode
I summed up the parts I know are right, I did most the work on a different page that is a bit messy....
crude skiff
I summed up the parts I know are right, I did most the work on a different page ...
ah
I believe you forgot the negative sign when applying quotient rule
wait
yep
rapid geode
Oh yeah didn't notice that, thx
odd edgeBOT
odd edgeBOT
Available help channel!
chilly jacinth
odd edgeBOT
chilly jacinth
so i get how to get pie/6 and 5pie/6
from sin(Theta)=1/2
but
how do you get 0 and pie/2
odd edgeBOT
@chilly jacinth Has your question been resolved?
feral pewter
I have been given the following system of linear equations and am asked to 1) create a coefficient matrix and augmented matrix and 2) check whether it has solutions and determine them if necessary.
My approach can be seen on given screenshots. I'm not sure about the answer, the numbers seem strange. It would help me a lot if you could look over it.
odd edgeBOT
I have been given the following system of linear equations and am asked to 1) cr...
@feral pewter Has your question been resolved?
odd edgeBOT
@feral pewter Has your question been resolved?
pseudo narwhal
I have been given the following system of linear equations and am asked to 1) cr...
can you clarify what you need help with?
dapper raptor
odd edgeBOT
@dapper raptor Has your question been resolved?
pseudo narwhal
isn't euler form e^(i*theta)?
yup
pseudo narwhal
wait, so is this a valid complex number?
there should be an i did they miss it or something
wanton bison
Technically, all real numbers are also complex, but I understand the confusion because of the set up
pseudo narwhal
Technically, all real numbers are also complex, but I understand the confusion b...
but even those have an i
dapper raptor
if that's the case, then all exp(x) would be a complex number?
pseudo narwhal
if that's the case, then all exp(x) would be a complex number?
if say you have to write the complex form of 2 it would be 2*epower 2npi(i)
there is still an i
wanton bison
but even those have an i
no i meant, e^(pi/2) almost looks or resembles a "typical complex number" but it could just be e^(pi/2) approx 4.8 something
pseudo narwhal
no i meant, e^(pi/2) almost looks or resembles a "typical complex number" but it...
maybe
pseudo narwhal
im going to ask something stupid,but wouldn’t q be in a matrix form too?
wanton bison
4x1 matrix 
pseudo narwhal
4x1 matrix <:sotrue:826971355542192148>
so what would you input to the answer?
the 4 terms?
wanton bison
idk the syntax but prob (... , ... , ... , ...) or (... , ... , ... , ...)^T
pseudo narwhal
idk the syntax but prob (... , ... , ... , ...) or (... , ... , ... , ...)^T
then isn’t the question very straightforward
like you have 4eq 4 variables you just need to simplify
pseudo narwhal
if that's the case, then all exp(x) would be a complex number?
do you know the answer i got a solution but idk if it’s right
wanton bison
Looking at (0,-3,0,3) it seems w_k is indeed missing an i but then only the real part is considered
Maybe the other system considers the imaginary part
dapper raptor
q would be a column vector
wanton bison
of w_k
dapper raptor
another solution to matrix A
pseudo narwhal
is it (3,0,-3,0)?
dapper raptor
yeah, so first column solution was the real part, second was the imaginary part
idk why they partitioned it that way thogh
wanton bison
ok then it's straightfoward
pseudo narwhal
idk why they partitioned it that way thogh
cause z=x+iy
is the way we write it in the complex plane
dapper raptor
but why separate real and complex parts
pseudo narwhal
but why separate real and complex parts
cause you can,theres no reason other than making this question
pseudo narwhal
yup
dapper raptor
how do you find the limit?
dapper raptor
yeah
pseudo narwhal
aaah i might need to first go and understand what it means
dapper raptor
all goods
pseudo narwhal
ill be back in 15 min
dapper raptor
can you help with this one as well?
@wanton bison thoughts?
clever fjordBOT
𝔸dωn𝓲²s
wanton bison
<@587715738484211754> thoughts?
On what exactly
dapper raptor
can you help with this one as well?
on this one, finding limit of h(x)-k(x)
clever fjordBOT
𝔸dωn𝓲²s
wanton bison
because we have square roots
so it's a common trick to multiply a difference of square roots by the conjugate
\begin{align*} \lim_{x \to \infty} \frac{64x^2+51\ln\cosh x+2a(x)\sqrt{64x^2+51\ln\cosh x}+a^2(x) - (x^2+58x^\delta)-2b(x)\sqrt{x^2+58x^\delta}-b^2(x)}{\sqrt{64x^2+51\ln\cosh x}+a(x) + \sqrt{x^2+58x^\delta}+b(x)}
\end{align*}
clever fjordBOT
𝔸dωn𝓲²s
wanton bison
awesome limit
pseudo narwhal
**𝔸dωn𝓲²s**
wtf
wanton bison
the denominator goes to infinity no matter the delta
pseudo narwhal
the denominator goes to infinity no matter the delta
take out x from neum and din and cancel
pseudo narwhal
can you help with this one as well?
are they asking for the integral part? do they want box of l?
i got an answer
but its a fraction
pseudo narwhal
the denominator goes to infinity no matter the delta
did you get anything?
wanton bison
no
pseudo narwhal
dang ,im getting a fraction tho
if they want box of it then it mkes sense
otherwise i messed up
dapper raptor
**𝔸dωn𝓲²s**
wth is this lol
pseudo narwhal
wth is this lol
tell me
pseudo narwhal
are they asking for the integral part? do they want box of l?
?
dapper raptor
wait, let me try and plug it in on maple see if i get an answer
wanton bison
**𝔸dωn𝓲²s**
.
pseudo narwhal
i got 3
dapper raptor
idk what the answer is
dapper raptor
i plugged 3, it's incorrect
pseudo narwhal
which is sus
dapper raptor
what's the fraction?
pseudo narwhal
what's the fraction?
51/16
dapper raptor
wdym?
pseudo narwhal
last time i was here i would get screamed at for sending the solution
am i allowed to?
dapper raptor
yeah, send it
pseudo narwhal
ykw ill just send it
here
i learned what sinh and cosh is but what do i do with that info now
wanton bison
ofc you left out a(x) and b(x)
pseudo narwhal
ofc you left out a(x) and b(x)
of course pooki
wanton bison
no way
pseudo narwhal
i don’t need irrelevant information
wanton bison
i know you
pseudo narwhal
i know you
no you don’t
pseudo narwhal
me?
wanton bison
you are that indian girl who does slang math
wanton bison
I thought you would return next year after JEE
pseudo narwhal
sigh i i made an account just for a few days cause i was bored
wanton bison
you fucking donut
pseudo narwhal
i’ll delete it again in like 3 days
pseudo narwhal
i am bacc
i mean i realised immigration you said ofc i left out ax
i was like aaah its you
pseudo narwhal
when you said pooki
shoot
pseudo narwhal
and the handwriting
i need to be more discreet
pseudo narwhal
of course ahahahahaha
i mean i got the answer thats the point at da end of da day
pseudo narwhal
how is stuDYING going
horrible
wanton bison
i mean i got the answer thats the point at da end of da day
idc
pseudo narwhal
i like cant do physics
pseudo narwhal
idc
see if ax can be any function as long as at x tends to inf it tends to zero i can just take ax=1/x
long tinsel
your apprentice is bac
Richtig
wanton bison
see if ax can be any function as long as at x tends to inf it tends to zero i ca...
bla bla bla
pseudo narwhal
your apprentice is bac
no im the math master
wanton bison
**𝔸dωn𝓲²s**
i was stuck here cause you got 0 * inf which is indeterminate
pseudo narwhal
bla bla bla
i have to admit,your math skills havimproved
pseudo narwhal
i was stuck here cause you got 0 * inf which is indeterminate
you do?
did you multiply with 8?
pseudo narwhal
dw forget it :p
i forgot how annoying you are
wanton bison
thanks
pseudo narwhal
keep doing your slang math
i am going to forget addition after jee
dapper raptor
<@945643304064790580> did you get it?
nah i'm still confused lol
i'm looking at the sols
where'd you get ln(2)?
wanton bison
slang math
pseudo narwhal
ill write the skipped steps
wanton bison
@pseudo narwhal
pseudo narwhal
this basically
pseudo narwhal
<@1300453286117113866>
wot
pseudo narwhal
you were bored
yuh
pseudo narwhal
this basically
@dapper raptor
wanton bison
i can't do shit
pseudo narwhal
i can't do shit
so sad
wanton bison
so meaingless
pseudo narwhal
so meaingless
my life fr
i want to just quit and play pokemon 24/7
if only i was a nepo kid
wanton bison
if only i was a nepo kid
whats that
pseudo narwhal
sine hyperbolicus
yeah i watched a 15 min vid so i could do this question
i felt so kind
wanton bison
it's just something you learn when getting to know functions
pseudo narwhal
they didn’t teach us that
wanton bison
they thought too trivial
pseudo narwhal
i mean it ended up being what i thought it was
but do you know why ex was picked?
probably for convenience im guessing
where did op go
did they understand?💀
dapper raptor
bruh my brain so slow
wanton bison
but do you know why ex was picked?
e^x?
pseudo narwhal
bruh my brain so slow
oh okioki np
pseudo narwhal
nah my brain's fried already 😦
do you want a more detailed solution?
wanton bison
pseudo narwhal
prob has to do with complex numbers
really? why do you think that?
pseudo narwhal
wait so coshx=(1/2*(e^x+e^-x))
you didn’t know that?
dapper raptor
ln(e^x)+ln(e^-x)-ln(2) no?
pseudo narwhal
no bro they area added e pwr x and minus x
wanton bison
thought it'd be irrelevant lol
pseudo narwhal
only if they were multiplied
pseudo narwhal
ln(e^x)+ln(e^-x)-ln(2) no?
you can do this
wanton bison
ln(e^x+e^-x)-ln(2)
dapper raptor
oh wait yeah, didn't see
pseudo narwhal
but cause e power x tends to inf i ignored the one
pseudo narwhal
ln(e^x+e^-x)-ln(2)
take lcm in the first bracket
wanton bison
i will take you
pseudo narwhal
i will take you
pooki its simple just expand again after that
wanton bison
why not 6
pseudo narwhal
@dapper raptor do you need more clarification?
dapper raptor
yeah, spoonfeed pls so i can go do my routine and sleep
wanton bison
grown ass
pseudo narwhal
yeah, spoonfeed pls so i can go do my routine and sleep
oki
@dapper raptor
lmk if this is understandable
wanton bison
I would be thinking twice doing it like that in the exam
consider it as the last option
pseudo narwhal
I would be thinking twice doing it like that in the exam
im not you deer
wanton bison
I am talking to op
wanton bison
i insulted you?
pseudo narwhal
i insulted you?
yes
dapper raptor
it makes sense overall, i just don't get your conversion of the ln
pseudo narwhal
consider it as the last option
🦄
pseudo narwhal
it makes sense overall, i just don't get your conversion of the ln
what do you not get?
dapper raptor
how you got e^2x+1
wanton bison
if you split the limit (knowing it exists) you can actually leave out a(x) and b(x)
dapper raptor
the splitting of ln(coshx) i guess since i think that would also change the other e^(x)
pseudo narwhal
pseudo narwhal
the splitting of ln(coshx) i guess since i think that would also change the othe...
like dis
wanton bison
i refuse to type
refuse to live
pseudo narwhal
if you split the limit (knowing it exists) you can actually leave out a(x) and b...
i just did that cause they didn’t say what they were so i can just say a(x)=1/x and live my best life
pseudo narwhal
refuse to live
so real
wanton bison
i just did that cause they didn’t say what they were so i can just say a(x)=1/x ...
they said functions approaching 0
lol
you guessed kinda right
pseudo narwhal
they said functions approaching 0
exactly does 1/x not tend to 0 at inf
wanton bison
it does
pseudo narwhal
so no one cares about a and b they are ment to bi ignored
pseudo narwhal
thanks so much!!
npppp
wanton bison
so no one cares about a and b they are ment to bi ignored
ok you chicken wing
dapper raptor
thankuthankuu
pseudo narwhal
ok you chicken wing
bro just says food names as insults
the only bad one is walnut
wanton bison
bro just says food names as insults
you called me pooki
you want to poke me, kill me
pseudo narwhal
id be so mad if someone called me a walnut
pseudo narwhal
you called me pooki
it is the perfect passive aggressive way to adress a person
wanton bison
it is the perfect passive aggressive way to adress a person
actually no
it gives mommy vibes
pseudo narwhal
thankuthankuu
no problem lmk if you have other questions
pseudo narwhal
omg villain origin story
pseudo narwhal
i didnt mean it like that errr
i will choose to interpret it in the least concerning way
pseudo narwhal
if that makes you a villain, you are a victim
ha ha ha ha
wanton bison
sure wizard hunter
pseudo narwhal
sure wizard hunter
🦄🧚♂️✨🧜🏽♀️🧙🏽🕺🏻🧛🏽♀️🧙🏽♂️🦹🏽♂️
wanton bison
🦄🧚♂️✨🧜🏽♀️🧙🏽🕺🏻🧛🏽♀️🧙🏽♂️🦹🏽♂️
you forgot your trade mark
wanton bison
pseudo narwhal
see you in like another 3 months
pseudo narwhal
💃🏻 https://discord.com/channels/268882317391429632/1288556435642519562/1288605...
whats that
wanton bison
hopefully
pseudo narwhal
💃🏻 https://discord.com/channels/268882317391429632/1288556435642519562/1288605...
a question?omg should i solve it
wanton bison
ye
pseudo narwhal
which one
odd meteor
odd edgeBOT
low acorn
Is there more info about θn?
odd edgeBOT
@odd meteor Has your question been resolved?
wanton snow
Help
wanton snow
Given that LCM of 306 and 657 is 223388. What is the LCM of 102,306,675
is the question wrong ? Here
the answer given is 223388 but how the only formula i could use is LCM × HCF = a b
But here it's given LCM two times
<@&286206848099549185>
odd edgeBOT
<@&286206848099549185>
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.
wanton snow
Please only use the <@&286206848099549185> ping **once** if your question has no...
ok got it
robust wyvern
Given that LCM of 306 and 657 is 223388. What is the LCM of 102,306,675
102 is a divisor of 306
so its obviously gonna have the same LCM value
quiet phoenix
proven harbor
Me too lmao
proven harbor
Given that LCM of 306 and 657 is 223388. What is the LCM of 102,306,675
Use spaces after commas
wanton snow
102 is a divisor of 306
Oh
wanton snow
Use spaces after commas
Ok
unborn mountain
The question asks for me to prove that this is a tautology without using a truth table
odd meteor
.reopen
odd edgeBOT
@unborn mountain Has your question been resolved?
compact edge
Bro tf is this formula wasn't it P(a union b) =p(a) + p(b) -p(a intersection b)
compact edge
What
signal yacht
i had this same problem actually a while ago lmao.
compact edge
What was the solution
signal yacht
wait no.
leaden karma
Bro tf is this formula wasn't it P(a union b) =p(a) + p(b) -p(a intersection b)
You're right, that formula is wrong
signal yacht
yeah.
lmao.
you're fine the book is wrong
i saw the -2 and was like this is sad
what happens when you find that probability is the probability that A happens or B happens
and both can't happen
signal yacht
show us the question maybe
compact edge
compact edge
show us the question maybe
I was sending
signal yacht
lmao is this a pyq
compact edge
lmao is this a pyq
Yeah
signal yacht
lemme just see if i can do it and then let's talk
i cant find my probability book id save you so much time
compact edge
U preparing for the same exam or smth
odd edgeBOT
odd edgeBOT
Available help channel!
amber walrus
- Find AB and AC.
odd edgeBOT
16. Find AB and AC.
amber walrus
mystic saffron
You have to use similarity to find the lengths
amber walrus
What’s similarity?
mystic saffron
hey
amber walrus
@mystic saffron
mystic saffron
Yeah
Sorry no idea how to solve it without using trig nor similarity of triangles
amber walrus
What’s next step
queen wind
if two triangles have the same angles then they are similar, meaning the ratios of their sides are the same.
are you working on 16?
queen wind
first, what are the two similar triangles you can see?
amber walrus
These
queen wind
yeah those are similar
but there is actually a triangle here that is similar to ABC as well
amber walrus
The big one?
queen wind
yeah is there a smaller triangle that is similar to the big triangle?
queen wind
lets focus on triangles that we know the side lengths of
notice that angle A is shared between the big triangle and one of the small ones
amber walrus
And
queen wind
so is the triangle with sides 5 and 7 similar to the big triangle ABC?
amber walrus
Sure I see
queen wind
Why can we say they are similar here?
queen wind
yeah so this is whats called angle angle (AA) similarity. If two triangles have the same angles for 2 corresponding angles, then the 3rd must also be the same cause they all add up to 180
Now, since they are similar we know that the ratio of the sides of the small triangle must be the same as the ratio of the same sides on the big triangle
amber walrus
Oooh I got it
queen wind
yeah exactly
we know BC / 9 = 7/5 so we can solve and get exactly that answer
so how can we get the final side now
(AC)
amber walrus
Use Pythagoras term
queen wind
perf
amber walrus
We have 9 and 12,6
queen wind
yeah so where do you go from there?
queen wind
so actually we can just use pythagorean theorem with the sides we've already calculated right?
we know AB and BC
we want AC
we can now ignore the smaller triangle
queen wind
all good 🙂 what steps are you taking?
amber walrus
8,8
amber walrus
all good 🙂 what steps are you taking?
I see now.
I can Pythagoras the ABC triangle
Thanks for finding how to begin
😊
You made me think.
queen wind
awesome! glad to help
there are a few useful ways to show triangles are similar or congruent. This article has the basic ones which might be helpful for you: https://www.cuemath.com/geometry/triangle-congruence-theorem/
congruent = exactly the same triangle, similar means they are the same shape but different size
amber walrus
The triangle ABC has \angle A as a right angle, \angle B as 30^\circ , and \angle C as 40^\circ . Draw the triangle and its altitude from V , which divides the hypotenuse into two halves. What are the angles created by the altitude?
I’m getting wrong answer…
south plume
,rccw
clever fjordBOT
odd edgeBOT
odd edgeBOT
Available help channel!
gentle patio
How can I check if a sum wraps around in modulus 8?
SUM = (A+B+C) mod 8
A is either 0 or up to 7.
B is either 0 or up to 7.
C is either 0 or 1.
What is the most simple answer?
gentle patio
My naive idea would be:
if (SUM < A) then the number wrapped around.
However if A=0, B=7, C=1 then:
((||7+0+1 =|| 0) < 0) which is false.
_ _
I could also check twice:
if (SUM < A) OR if (SUM < B) then I get true.
((0+7+1) mod 8) < 0 -> false
((0+7+1) mod 8) < 7 -> true
result -> true
_ _
However is this the most simple answer?
low locust
I mean you have to do a comparison anyway. so why not just compute A+B+C and check whether its > 8
dont optimise stuff like this
it doesnt matter
gentle patio
it doesnt matter
It actually does. Computers run mostly in x64, which means the largest number is 2^64-1.
If you add two 2**64-1 numbers you will have an overflow.
low locust
you talked about 8
gentle patio
I mean you have to do a comparison anyway. so why not just compute A+B+C and che...
SUM cannot be > 7, you don't know what mod 8 is...
low locust
A+B+C can be bigger than 8
gentle patio
Okay let's say you use x64 numbers. This means a number is at most ´(2^64)-1´ and at least 0.
How can you add two of these numbers if they can overflow?
´(7+1) mod 8´ = 0 in this case.
low locust
test whether the first number is bigger than 2^64-1-other number
gentle patio
Dude what?
I just said numbers can physically not be larger than 2^64-1.
This is because numbers are written in 64 bits, that are either 0 or 1.
gentle patio
If all these 64 bits were 1 then adding any number would cause all bits to flip.
So all the 64 bits would start over from 0.
gentle patio
test whether the first number is bigger than 2^64-1-other number
Remember I need to know if (A+B+C) is bigger than MAX.
A=0
B=7
C=1
(0+7+1) > 7 ... So I need the result "true"
You propose I should test if A > (MAX-B):
0 > (7-7) ... So the result I get is "false"
gentle patio
7>0 is true btw
My first example was incorrect. I wrote a correct example now.
low locust
in that example you can add A+B=7
and then in the next step you need to check whether (A+B)+C is ok
aka check A+B > max-C
7 > 7-1
true
gentle patio
That would cause a lot of extra additions, so this is not the correct answer.
E.g. each part of a multi-part number is at most 3 bits (each digit: 0 up to 7), if one part overflows I would first need to add 1 to each part until no more overflow occurs and just then I could continue with the addition.
odd edgeBOT
@gentle patio Has your question been resolved?
gentle patio
Probably just:
(C > (B+C)) OR ((A+B+C) < (B+C))
odd edgeBOT
@gentle patio Has your question been resolved?
modest bear
does anyone know a really easy way to remember the radian degree unit circle chart?
modest bear
I have a test tomorrow and i have to write the entire graph off of memory in 4 mins and idk if ill be able to memorize it well
rigid dragon
Well I would recommend memorizing the special triangles and the CAST rule as a couple easy mnemonics
modest bear
rigid dragon
The 30-60-90 triangle and the 45-45-90 triangle are all you need along with knowing what sine cosine and tangent mean
Sohcahtoa I guess
Then the CAST rule helps you remember what values are positive and negative
But you can also just determine that from a picture
rigid dragon
Cosine, All, Sine, Tangent
modest bear
ohh gotcha
rigid dragon
It tells you which quadrant the different trig function evaluate positive in
It starts in the bottom right quadrant though so that’s the weird part
Tbh it’s not as useful as a drawing but it may be helpful
modest bear
yeah my teacher taught us “ASTC” for “all students take calculus”
rigid dragon
Yeah that makes more sense since it starts in the first quandrant not the fourth
But it isn’t as easy to recall I guess
Same idea tho
rigid dragon
But for deriving the values I would definitely just learn the special triangles
Then you can work them out on the test yourself
Just remember the angles and the side lengths and using the trig functions with SOHCAHTOA you can deduce the values
odd edgeBOT
@modest bear Has your question been resolved?
odd edgeBOT
odd edgeBOT
Available help channel!
ionic spoke
can someone help me with python code problem Im like almost getting it but im not able to think about how to return something
ionic spoke
i got until the number part
now how do i get back to the word from the number
this should be easy i think idk how to think about it thoh
soft terrace
How are you currently going about solving it?
(your code isn't in the link you sent)
Don't show me your code (yet), break down your algorithm (what you want your code to do) step by step first.
ionic spoke
okay so
Given a string of words, you need to find the highest scoring word.
Each letter of a word scores points according to its position in the alphabet: a = 1, b = 2, c = 3 etc.
For example, the score of abad is 8 (1 + 2 + 1 + 4).
You need to return the highest scoring word as a string.
If two words score the same, return the word that appears earliest in the original string.
All letters will be lowercase and all inputs will be valid.
this was the instructions
so what I did was
i turned the input into a list
then created a dictionary (i know it isnt the fastest way of doing this)
but the dictionary was just assinging all the letters a value
ionic spoke
i turned the input into a list
then i went through each of the things from the list in here
and added the corresponding number from the diciotnary to give them a number value and added it to my score for each word
and so in the end
its printing the like
number "points" for each word
but not the word
should i send pic of code
or am i going about it wrong
soft terrace
break it down into steps.
So...
- create a dictionary of (what?) to (what?)
- ???
somewhere in that list, I'm expecting a "for each word in the list of words, "
ionic spoke
dictionary of letters to their 'points'
soft terrace
explain it to me like I'm the dumbest idiot you can think of XD
soft terrace
dictionary of letters to their 'points'
ok, so {('a', 1), ('b', 2), etc...}
soft terrace
great start
ionic spoke
just assigning each letter with their value
and so after i've done that
no so before
i do this
soft terrace
so, you give me a list of words, and you want me to tell you the highest scoring word. What do I do first?
ionic spoke
okay so pretend the list of words is like (hi, scooby, volcano, phone, hi)
so what i did is
turn that string of words into a list
so its
[hi, scooby, volcano, phone, hi]
all separarted
and i go to the first item in the list
and through each letter in the word
and get the points
and i put the points into a separate list
soft terrace
[hi, scooby, volcano, phone, hi]
yep, I missed that part.
ionic spoke
yeah i did that by doing .split() on the string
so this is what it did
made each word into its own thing
but yeha in the end i was able to get the points for each one correctly
but
now idk how to get back to the word
from points
i think what i do is
set up a for loop for the number list and find the biggest number and it's index number
then use that index number to return
the word list word?
idk if that's the right way to go about it
ionic spoke
set up a for loop for the number list and find the biggest number and it's index...
actually idk how to do this 😭 like how to find it's index number
soft terrace
So your algorithm so far is this.
def high(x):
# 1. separate the sentence into a list of words.
word_list = x.split(' ')
# 2. make a new list containing the score of each word
# 3. find the index of the largest score
# 4. return the word at that index
only 1 and 2
3 and 4 is what im
planning
but no clue how to execute
hohw would i even get the largest score's index number
cuz if i knew that part i could do 4
soft terrace
ok, so to do that, we need to tell python how to calculate the score for a single word, which is best as another function.
ionic spoke
ok, so to do that, we need to tell python how to calculate the score for a singl...
yeah i got that part
i got the scores of each word
and put the scores in another list
soft terrace
you have this?
def score(word):
sum = 0
for c in word:
sum += word_scores[c]
return sum
can do
soft terrace
few points:
- don't use single-letter variable names. for example, make
for i in wordlistmore descriptive likefor word in word_list
ionic spoke
ohhh yeah that'll make it more clear
soft terrace
- I'd also rename
worddicttocharacter_scoresorcharacter_points
ionic spoke
yup okay
soft terrace
do you need that if character in character_scores check?
(you've got if e in worddict)
ionic spoke
do you need that `if character in character_scores` check?
which one is this referring to?
i believe i do right?
soft terrace
it doesn't hurt to keep it. but it's not needed. I would keep it if you want to 🙂
last point
3. I would move that entire section of code to calculate the score of a word into it's own function.
def word_score(word):
// ...
i see but why make its own function?
soft terrace
it splits the code up, making it easier to read and understand
soft terrace
as a general rule of thumb, anything that is it's own process should be in its own function.
ionic spoke
i see okay im not too familiar with functions yet
soft terrace
and i do this before the for loop?
you should have the word_score function above the high function.
ionic spoke
high?
soft terrace
i see okay im not too familiar with functions yet
they're just recipies telling python how to do something. it's great if you do the same process over and over again, because you can just call that function.
What's your code look like now?
ionic spoke
soft terrace
ah, I meant something like this...
character_scores = {
'a': 1,
'b': 2,
# ...
}
# calculates the score of a single word
#
def word_score(word):
total_score = 0
for letter in word:
points = character_scores[letter]
total_score += points
return total_score
# finds the highest scoring word in a sentence
# (our challenge)
#
def high(x):
wordlist = x.split(' ')
for word in wordlist
# ...
so is that theh same as my code but split into cleaner bits?
or is the bottom part like a new addition
soft terrace
we need to implement the high function. I've just added a new word_score function which calculates the score of a single word.
I think you moved everything into the word_score function.
steel spire
I'm probably distracting from what you're working on, since you already made the dict, but there's an easier way around assigning each letter to a number since they already have a value you can use this as an offset: ord('a') and then pass every character through the ord function
soft terrace
I'm probably distracting from what you're working on, since you already made the...
I was going to get to that later XD
ionic spoke
yesss i thought of that after i made the dictionary
but i didnt wanna
like
delete everthing so
i stuck with it
iron bear
also prefer words.split() over words.split(' ')
soft terrace
we can nitpick when the algorithm is actually working
ionic spoke
sure
soft terrace
what have you got now?
iron bear
also prefer words.split() over words.split(' ')
i'm saying this because originally ooferm said .split(), and then this was changed to the less preferred .split(' ') by shuba
ionic spoke
what have you got now?
i didn't really change anthing into 2 functions yet i kept it all in 1 cuz im still like trying to figure what the differences in the 2 functions are
so the first one is for finding points
second is for im not clear
soft terrace
word_score tells python how to calculate the score of a word
high then uses that to determine the highest scoring word
to be more precise, we've yet to write high. But, we've already told python how to calculate the score of a single word, and we can use that to calculate the score of every word in order to solve our problem.
ionic spoke
oh so do i keep everything i have now and make new function called high
ionic spoke
wait one quick questiono
so this is where my lack of knowledge in functions comes in 😭
but now
this isnt doing anything
soft terrace
It should look like this now.
character_scores = {
'a': 1,
'b': 2,
# ...
}
# calculates the score of a single word
#
def word_score(word):
total_score = 0
for letter in word:
points = character_scores[letter]
total_score += points
return total_score
# finds the highest scoring word in a sentence
# (our challenge)
#
def high(x):
# we will now, here, ttell python how to find the highest scoring word, by using python's knowledge of how to work out the score of a single word (the word_score function).
can u help me a little with like how this one is going through each word because the way i was doing it was setting up like a for loop for each word and another for each letter
but this one has only for letter
is there smth like im skimming over
soft terrace
what do you have?
soft terrace
cool.
soft terrace
ah, i thought you deleted that XD
ionic spoke
nah its been there whole time
soft terrace
riiiiiight, you can delete the empty high.
ionic spoke
yeah i did
soft terrace
and the word_score function should go above that first high function.
So, now, in your high function, you split the sentence into a list of words. you now want to calculate a list of scores corresponding to each word.
ionic spoke
its giving me an error
if i put high lower than wordscore
nvm
wrong indentation sry
soft terrace
yep
ionic spoke
yup so the first one calculates points and thhe second one turns it into a list
how to proceed from here
soft terrace
now your algorithm is to make a list of the scores for each corresponding word, right?
we can do this by:
# for each word in the list
# calculate the score of this word (using word_score)
# and append that to the list of word scores
we can do that in the high function
really, up to you. if you want to make a new function to do this.
ionic spoke
i'll do it under high
so
its telling me that the characterscores dictionary is not defined
do i move it to the very top
soft terrace
it needs to be defined before you use it
ionic spoke
okay bet
i moved it to the top now its giving me a number
so its only returning the first word's points its not going through all
soft terrace
what's the code?
ionic spoke
soft terrace
yep, because you're returning the score of the first word
ionic spoke
oh is thta the very bototm line
soft terrace
yep
ionic spoke
oh yeah i didn't really know what to put there
soft terrace
instead of returning it, you want to add it to a list of word scores
soft terrace
what was the mostpointword list supposed to store when you made it?
ionic spoke
soft terrace
ok, now we have a list of the scores.
the next step in your algorithm was to find the index of the highest score. How would you do that?
ionic spoke
set up a for loop to look through total_score to find the highest number
but idk how i'd find the index number of that or is that not necessary
soft terrace
yes, but mostpointword not total_score.
ionic spoke
but isnt mostpointword just words and totalscore is numbers so hohw would i look through to find in that
soft terrace
hint: you have mostpointword.len() is the number of entries in the list.
hint: you can ||for index in range(mostpointword.len()):||
ionic spoke
wait nvm
ionic spoke
hint: you have `mostpointword.len()` is the number of entries in the list.
hint:...
ohhh so what is exactly the function of finding the length of the entries
soft terrace
ohhh so what is exactly the function of finding the length of the entries
hint: for index in range(length)
soft terrace
oh, you want this
mostpointword = []
for word in wordlisst:
mostpointword.append(word_score(word))
for index in range(mostpointword.len()):
# ...
soft terrace
ooooooooh, I'm a dumb dumb. sorry.
it's len(mostpointword)
for word in wordlisst:
mostpointword.append(word_score(word))
for index in range(len(mostpointword)):
# ...
ohhhh okok i was thinking that but i thought .len() was just another way of doing it or smth
yehahhh now its doing it
ok wait i gotta go for a bit now i need to drive home (im still at school)
itll take about 45 mins
soft terrace
I might be in bed by then XD
I'll give you the solution, but spoiler out bits so you can give it a go yourself, but check here if you get stuck.
ionic spoke
Ohhh ok tyty
soft terrace
I'll DM you 🙂
steel spire
I was gonna send and spoiler my solution afterwards too if you wanted to see for fun, but I'll wait til after you solve it I guess. Ping me when you have if you want it
odd edgeBOT
@ionic spoke Has your question been resolved?
odd edgeBOT
odd edgeBOT
Available help channel!
mystic saffron
help
thorny cave
thorny cave
mystic saffron
WX x XY = ZX x XV
thorny cave
mystic saffron
6 x 12 = d x 8?
mystic saffron
my answer is 9 but my teacher said its wrong
thorny cave
ur teacher is wrong
mystic saffron
why is it 17
thorny cave
odd edgeBOT
odd edgeBOT
Available help channel!
mystic saffron
I need help in finding the eclipse equation for this bottle im modelling
quasi sparrow
mystic saffron
My teacher said that to find system of inequalities I need to build 2 tables and a seperated axis plane... Idk what she asked about please help.
YT videos help alot. Ping me @mystic saffron
odd edgeBOT
My teacher said that to find system of inequalities I need to build **2 tables**...
@mystic saffron Has your question been resolved?
odd edgeBOT
@mystic saffron Has your question been resolved?
celest acorn
i dont get your qn
odd edgeBOT
@mystic saffron Has your question been resolved?
mystic saffron
i dont get your qn
How to solve system of inequations with 2 tables way?
amber schooner
How to solve system of inequations with 2 tables way?
odd edgeBOT
@mystic saffron Has your question been resolved?
gaunt mesa
odd edgeBOT
gaunt mesa
the answer i got was
working was messy not finalized, but worked out f'(x) derivative, f''(x) derivative
i tried all online help all gave different answers
mossy tinsel
show full working out
gaunt mesa
oh brother 😭
1 sec
my friend got 1 + x + 1/2x^2
and so did an online calculator just trynna find where i went wrong now
2nd page i lost it
mossy tinsel
my friend got 1 + x + 1/2x^2
you’ll get this
gaunt mesa
but you should try doing the question with binomial expansion instead
redid my 1st derivative
got x instead of 2x
thanks
.close
odd edgeBOT
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Available help channel!
errant kite
@muted tinsel
odd edgeBOT
<@1166782553756270632>
errant kite
ask ur question here
muted tinsel
1-SIN Ø /1+SIN Ø×
1-SIN Ø/1-SINØ= (SEC Ø-TAN Ø)²
Chat i need help witht his.
wirht his.
With this*.
So I'm aware that first we have to rationalize this and it becomes smth like this:
1-SINØ/1+SINØ
×
1-SINØ/1-SINØ
And after this we get
1-SIN²Ø/ 1-SINز.
MY DOUBTS STARTS FROM HERE BECAUSE IDK HOW EXACFLY WE GOT THIS UPPER TWO VALUES
<@&286206848099549185>
errant kite
And after this we get
1-SIN²Ø/ 1-SINز.
**MY DOUBTS STARTS FROM HERE BECAUSE ...
what can u rewrite 1 - sin^2 x as?
and refer to theta as x its easier to type
muted tinsel
what can u rewrite 1 - sin^2 x as?
Cos2Ø?
errant kite
Cos2Ø?
correct
now you have two options: first is to just expand all the terms and then see whatever cancels
2nd is some manipulation but i guess for now you should try expanding
so expand both (1-sinx)^2 and (secx - tanx)^2
muted tinsel
correct
Yeah tell me
How one get "sin2Ø" And other got "SinØ2"
why this subscript
(idk if it's called subscript)
Are exactly.placed before and after the thetha?
How did we calculate this is my main doubt.
errant kite
Yeah tell me
How one get "sin2Ø" And other got "SinØ2"
why this subscript
(idk...
"sin2x" basically means you are squaring sinx
that is - sinx * sinx
its just a notation
errant kite
Yeah tell me
How one get "sin2Ø" And other got "SinØ2"
why this subscript
(idk...
now but "sinx2" i think u are referring to (1-sinx)^2
we write it like that because now we cant just write 1 - sin2x
that would mean 1 - (sinx * sinx)
what we actually mean is (1-sinx) * (1-sinx)
and hence the subscript is outside
errant kite
well sure u can cross multiply
but i suggest expanding the squared terms first
do u know what is (a+b)^2
muted tinsel
do u know what is (a+b)^2
Ik (a-b) (a+b)= a2-b2.
errant kite
whats (a+b)(a+b)
errant kite
A2+2ab+b2.
yeah so use that to expand (1-sinx)2 and (secx - tanx)2
muted tinsel
It ain't going.
errant kite
Wait I'm sending smth.
yeah just take pics of ur work and send them here
instead of typing
muted tinsel
yeah just take pics of ur work and send them here
muted tinsel
.. no u dont cross multiply
In bottom we get minus and plus operation,
It will be considered minus right?
On top I did and i got 1-sinز
errant kite
In bottom we get minus and plus operation,
It will be considered minus right?
O...
yeah
now expand (1-sinx)2
muted tinsel
Yeah, what after that.
muted tinsel
did u expand both sides?
How do i expand it lol,
I just wrote that same thing two times.
errant kite
How do i expand it lol,
I just wrote that same thing two times.
(a-b)(a-b)
(1-sinx)(1-sinx)
muted tinsel
(a-b)(a-b)
(1-sinx)(1-sinx)
Yeah I did that.
muted tinsel
(a-b)(a-b)
(1-sinx)(1-sinx)
errant kite
look
in the bottom we had (1-sinx)(1+sinx)
so thats (a+b)(a-b)
which is a2 - b2
now the top is (1-sinx)(1-sinx)
thats (a-b)(a-b)
and thats a2 + b2 - 2ab
muted tinsel
and thats a2 + b2 - 2ab
Ohh tysm!!!
odd edgeBOT
@errant kite Has your question been resolved?
balmy jasper
odd edgeBOT
balmy jasper
SOS
pallid tinsel
Difference of two squares
balmy jasper
i put that formula but its still not making sense
pallid tinsel
What did u get?
balmy jasper
x^2-4y/3 😭
pallid tinsel
What is the formula?
mystic saffron
x^2 - 4y^2 = (x+2y)(x-2y)
balmy jasper
i added the formula (x+y) (x-y)
pallid tinsel
Yes, and in ur case, instead of just y, u have 2y
balmy jasper
so we replace the x+y with x+2y? or 3
pallid tinsel
There is no 3, why do u think there is a 3?
balmy jasper
cause it equals 3
pallid tinsel
Maybe it's clearer if we write the formula as (a+b)(a-b) = a²-b²
Oh
So in ur case, a = x, and b = 2y.
So a + b = x + 2y = 3
(a+b)(a-b) = 3*(a-b)
pallid tinsel
Yes
balmy jasper
so its gonna equal 9
3(x-2y) = 3x - 6y
and then sub that to x-2y
3x-2(6y)
=9?
balmy jasper
what does it equall
balmy jasper
What do u mean sub that into x-2y?
substitute them into x-2y
odd edgeBOT
@balmy jasper Has your question been resolved?
charred falcon
OH IK
pallid tinsel
So what u know is (a + b)(a - b) = a² - b²
Can u rewrite this with a = x and b = 2y?
charred falcon
i think i have the answer
pallid tinsel
Try to get them to find the answer themselves before giving it away
charred falcon
well yeah thats why im not saying but
i dont think my method was
principle really
anyway i can show my method just ask
charred falcon
pallid tinsel
Yes that's correct
charred falcon
alrighty
old agate
im having trouble with proving this
