Recent content by tragicmuffin

I guess the thing that I don't understand is that if k is strictly less than 1, can't we still make k as close to 1 as we want? Then wouldn't saying x \leq k \cdot y where k is arbitrarily close to 1 (but not equal) be the same as saying x<1 \cdot y? It seems to me that changing the \leq to <...

Sorry, yes. 0<k<1.

I have a question on something that has come up many times for me in other contexts, such as Lipschitz transforms, and recently contraction mappings and the fixed point theorem. Is the following statement always false, and why? Let x and y be two positive real numbers. \exists k<1 \,\...

Thanks for the responses. I figured there would be a lot of efficiency issues, I just wondered if I was missing anything basic about how the electricity flowed through the system that would somehow diminish the effect. The reason I brought up the dark box is because I didn't want any extra...

So today my brother and I were playing with a mini solar cell that I just got, watching the voltage change with a multimeter, and seeing how even an LED would produce about .5 V in the cell, when he posed a question: If you were to take a solar cell (i.e. photodiode) capable of producing...