Hi. I'm nearing retirement so I thought I would take some math classes. This fall I took a Real Analysis class at a good school and dropped it because I did so bad on the first exam. I did great on the homework and quizzes. I also took Real Analysis about 47 years ago at a very good school...
Hi. Newbee question. What does the notation V^G mean where V is a vector space and G is a group? I found it in: A linear algebraic group G is called linearly reductive if for every rational representation V and every v in V^G \ {0}, there exists a linear invariant function f in (V^*)^G such that...
Hi, this is a newbee question. Does the Fundamental Theorem of Calculus supply a visual (graphical) way of linking a function (F(x)) with its derivative (f(x))? That is, the two-dimensional area under a curve in [a,b] for f(x) is always equals to the one-dimensional distance F(b)-F(a)? If...
Is our 3-dimensional space expanding because it is the "skin" of a higher dimensional space which is expanding? Is that why there seems to be no point of origin for the big bang?
Is it correct to say that following?
To calculate the distance traveled from the origin after 1 hr when the speed:
a) is a constant. Use multiplication.
b) depends on time. Use intergration.
c) depends on distance from the starting point. Use differential equations.