# Recent content by Vorde

1. ### Why do we learn Dual Space so early?

Thank you guys, I think I understand it now. I have a different, but related question, and I'll ask it here so as to avoid clogging up the forum with another dual space question. After wrestling with it for a while, I think I have a comfortable, intuitive sense of how and why a dual...
2. ### Why do we learn Dual Space so early?

I'm in a Second Course in Linear Algebra this semester, and we've just been introduced to the idea of a dual space, dual vectors and briefly to a double dual space. I completely understand how all of these things work and how they're defined, but I don't understand why we care. I've been...
3. ### Propellant Utilization

This is a ridiculously easy question, so I apologize for bugging you all with it, but google has been less than helpful. Consistently when I watch videos of rocket launches I hear operators talking about propellant utilization being active (usually with individual stages singled out). What does...
4. ### Gcd(a,b) = gcd(a,b+a)

I see that, and many people (including me after I'd left the test) did it that way or thought about doing it that way. I still don't quite see why a and b aren't symmetric though? Where is the asymmetry?
5. ### Gcd(a,b) = gcd(a,b+a)

I just got back a test and I received 0 for the following problem. I am (somewhat) comfortable with the idea that my justification isn't good enough, but I'm a little unsure where my error is so I would love to have someone illuminate that for me. The problem was to show that the gcd(a,b) =...
6. ### Relation vs function

Well what else do you want? I can say for constant velocity that Velocity is proportional to distance traveled and inversely proportionally to time elapsed.....but I'm really saying the exact same thing as ##V=\frac{s}{t}##; just in a different way.
7. ### Conic sections vs multivariable functions

I don't like the term dependent variable vs independent variable. I prefer to say that "y is a function of x" or vice versa; meaning that if y is a function of x then it can be put into the form y=f(x). Remember that an ellipse is not a function; it doesn't pass the vertical line rule (in my...
8. ### How exactly do you compute the span?

True, in fact there is a procedure in my linear algebra textbook precisely identical to this. But in practical usage, you're going to end up row reducing as described by HallsofIvy if you want to find a basis for a less-trivial set of vectors.
9. ### Looking for Matricies with their R-Echelon Forms

Hi all, I'm testing out a matrix solving program and while it checks out for 2x2/3x3/4x4 I would like to try it out on some larger matrices, but I don't really want to go through the hassle of row reducing a couple of 10x10 matrices to double check my program. Does anyone happen to know of...
10. ### How to notate a variable that is being held constant

What class was it? That might help?
11. ### How to notate a variable that is being held constant

In spreadsheet programs like excel this is done by putting '$' '$' around the variable, though I doubt that's what you're looking for. Do you mean just saying: ##D= \frac{v}{t} \rightarrow D= \frac{v_1}{t}##? Because that sort of does it.
12. ### A Triangle-Square

My bet is that part of the assignment details that the square has to line up with the midpoint of one of the sides. Then (I think) it would be true.
13. ### Velocity and all of the good stuff that goes along with it.

You may be :P Totally agree with this, it turns out that if you look at the average velocity over two points and you keep making the points closer to each other, the average velocity keeps getting closer and closer to a specific number. If you make the points infinitely close, the average...
14. ### Velocity and all of the good stuff that goes along with it.

Velocity is defined as ##\frac{\Delta Displacement}{\Delta Time}## or ##\frac{dx}{dt}## or any one of probably dozens of equivalent definitions. What are you looking for?
15. ### A Triangle-Square

Is this a homework question? And if not, an you show us or explain to us what you tried?