Mudassir

ohh - its implied from the question

How is P("Test is positive" | "Does NOT have the disease") decuded then?

brilliant.org/problems/disease-test

why does $P(A|B^c) = 1 - P(A|B)$ - brain is blank atm

thanks!

thats what I was thinking

$det(A)det(b)$ is commutative right? Since multiplacation is commutative?

Actually I should ask better questions... What is a linear differential operator???

Why is ODEs so difficult?

@TedShifrin hahahaha - I should've thought of that

How I can check if my answer to a solution for an ODE using power series is correct or not?

Thank you so much!

ohhhhhh

How does one get from $4^{n}+5$ to $1^{n}+2$

For all $n \geq{1}, 4^{n}+5 \equiv{} 1^{n}+2 \equiv{} 1 + 2 \equiv{} 0 \text{ mod } 3$

appreciate the reply tho

didnt spot it until just now

but it turns out to be a quadratic

Actually I was gonna use that to work out the inverse on $\sinh{x}$

How do I get $x$ the subject of $y=e^{x}-e^{-x}$? Any tips

@0celo7 i figured it out... but thanks

what is a cross partial derivative? I mean it significance??

anyone know what $\frac{\delta ^{2} h}{\delta x \delta y}$ means given $ h(x,y)$

partial*

just learnning pqrtiql derivatives

quite sure im making things more complicated

honestly Im trying to get my head around the derivation of the arc length of a polar curve

The issue im having is... $\frac{ds}{d\theta}=\sqrt{r^{2}+(\frac{dr}{d\theta})^{2}}$ ... integrating both sides just gives me $s=f(\theta)$ where in fact im looking to get the summation of ds to give L and then I can form a Riemann sum

is dy/dx = x equivalent to dy=x dx due to the way dy/dx is defined.... I know it may seem like an elementary question

@0celo7 thank u!

$\mathbb{C}$ is the binomial coefficient.. but I don't know what P is

$a\mathbb{P}b$.... here whats $\mathbb{P}$

$a\mathbb{C}b$ is pronounced a choose b

Anyone ever used taylors series to derive four point numerical differeniation formula

@AndersonFelipeViveiros thanks

Would I use proof by mathematical induction?

How would I prove the sequence i,-1,-i,1 where the nth term is given by i^n

I have question

hi

@TobiasKildetoft is there a name to this occurrence?

apologies

@user21820 I just realised

@user21820 no... its an introduction to university mathematics

Im not sure what $f|A:A\rightarrow{}Y$ means exactly... I know this if a function $f$ that maps the domain $A:A$ to the codomain $Y$... however not sure what the colon $A:A$ represents here

@user21820 thanks... just was reassuring myself if I missed any significance - it was a sentence that wasn't elaborated in a book im reading

Probs why documentation is scarce

What makes you say that?

anyone seen inclusion functions before?

@XanderHenderson good morning to you also :)