Recent content by MienTommy

I see. What is the difference between the ordered triplet and the other?

In this video, at 5:35 He has d/(a-qb) for the first part. I was not sure how he got that. Why is it not d/(a+qb)? Because d/a and d/bc implies d/(a+bc) Why does +bc become negative?

Yes that is what I meant. I wanted to know the symbol form. Would you add a such that symbol '|' after N×N×N? If I removed the parenthesis, ∀k,l,m∈N×N×N | k>1, l>2, m>k+l Then would it mean the same thing?

What does the N^2 mean in this case? (Image below) Does it mean, for all two pairs of natural numbers, a and b? How would I represent non pair numbers, i.e. how would I write "For integers k,l, and m such that k>1, l>2, m>k+l" all in one line?

Homework Statement You need to design a photodetector that can respond to the entire range of visible light (400 nm - 700 nm). What is the maximum possible work function? Homework Equations E = hf = hc/lambda The Attempt at a Solution For 400nm, I got E = 3.11 eV and for 700nm I got 1.78 eV...

Problem Solving Ah I think I see it. Correct me if I'm wrong. Since the 8Ω element is in parallel with the 2Ω element and the i0/4 element, their voltages must equal each other. So we can set the voltage of the 8Ω element equal to the 2Ω so : 2i0 = 8iv0 solving for iv0, we get iv0 = i0/4...

I get: 9A = (5/4)i Solving i = 7.2A And how do you determine the current passing through the middle loop with two currents by each other?

Homework Statement Find V0 and i0. Homework Equations Total current at each node is = 0. Total voltage around each loop is = 0. The Attempt at a Solution I can't seem to be able to analyze this circuit. That i0/4 is really messing me up. I am unsure how to apply both KCL and KVL on this...

That's the image. I can't see how the edge of that middle triangle's length is Rθ at all. I've tried using similar triangles and law of cosines to figure that out but I'm missing lengths. I thought Rθ was the arc length of a piece of a circle? So if Rθ is a length of a piece of a circle, how is...

Also, (picture attached to this post), why is the the loop pushed to the right out of the magnetic field? Since the induced current is ccw, shouldn't it push the loop to the left because the original current is cw which is already pushing the loop to the left?

Is the arrow of the ammeter pointing in the correct direction? The induced current is going through the positive end of the ammeter and out of the negative end. Since current is traveling towards the positive end of the ammeter, shouldn't the ammeter point towards the negative direction?

I've attached the problem as an image to the OP. I'm not sure how my teacher came across the solution for this problem. It doesn't make sense to me because the span of that set is a subspace correct?

Homework Statement \begin{pmatrix} 1 & 1 & 0 & 0 \\ 0 & 1 & 1 & 0 \\ 0 & 0 & 1 & 0 \end{pmatrix} Is this set a subspace of ℝ3 Homework Equations The set must be closed under addition. The set must be closed under multiplication. The set must contain the zero vector. The Attempt at a...

Ah, it seems the trouble I am having is knowing the size of the subspaces. So, an ℝ3 subspace is not in three dimensions? I've always thought ℝ2 was a subspace in two dimensions, ℝ3 is a subspace in three dimensions, etc.. So the superscript k in ℝk only represents the rows in a column vector...

I actually meant for them to be column vectors, so v_1 = [1 2 -4] v_2 = [-4 3 6] I understand your explanation though. I just don't understand whether this is a basis or not if the vectors were column vectors. My guess is that it is, since it contains two pivots and is linearly independent, then...