- Is thi set of vectors, $\ { (2, 1), (3, 2), (1, 2)\}$, is linearly . . .
When you have vectors like $\displaystyle\left [\begin {array} {c}1\\2\end {array}\right]=1\mathbf {i}+2\mathbf {j}$, they live on the plane where there are essentially two different directions: left right ($\mathbf {i}$) and up down ($\mathbf {j}$) Every other direction can be made out of combinations of left right and up down; e g $1\mathbf {i}+2\mathbf {j}$ Now for a set to be linearly
- Find the value of the constant k that makes the function continuous
I believe that the answer is A k=20 as I utilized a similar format from a previous question I had to do on this assignment to see that I would plug the 5 into x^2 and then set that equation = to 5+k After doing that I was left with 25=5+k and then finally k=20
- probability theory - Regular conditional probabilities: a confusion . . .
I'm reading a proof of Theorem 2 29 below from this note First, we recall a definition and a lemma, i e , Definition 2 28 Let $(\\Omega, \\mathcal{F}, \\mathbb{P})$ be a probability space, $(T, \\ma
- How do the definitions of irreducible and prime elements differ?
You are correct in observing that your lecture notes are not quite right here It is indeed the definition of an irreducible element What you read elsewhere is indeed the definition of prime element
- Given metric space $\\langle X,d\\rangle$ and closed subset $A . . .
I've got this question as homework in my Topology course and having it difficult to solve Question Given metric space $\langle X,d\rangle$ and closed subset $A
- What does i-th mean? - Mathematics Stack Exchange
I have seen a problem set for the tower of hanoi algorithm that states: Each integer in the second line is in the range 1 to K where the i-th integer denotes the peg to which disc of radius i is
- real analysis - $f (x)=x$ if $x$ is rational , $f (x)=1-x$ if $x$ is . . .
Let $D=[0,1]$, and $f(x)=x$ if $x$ is rational, $f(x)=1-x$ if $x$ is irrational, at what point of $I$ is $f$ continuous? I think the answer is $1 2$, using sequential
- algebraic geometry - On an elliptic curve, canonical divisors and . . .
I'm reading about elliptic curves Let $K$ denote a field $E$ denote an elliptic curve over $K$ From what I gather: A principal divisor of $E$ is a divisor of the
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