Recent content by Ricky2357

If we define the system as the container, the gas and the piston and assume that there are not any forces of friction present, then no external forces act on this system, yet the internal energy of the system changes.Is this right?

1. The problem statement Suppose we have a thermodynamical system whose state is modified by external forces. This results in a change of the internal energy of the system. If we designate by W_{ext} the total work done during the process by the external forces acting on the particles of the...

So I see. No loop means no current. I guess what was puzzling me was the following statement: ''In theory, if current has a choice between a zero-resistance path and a finite resistance path, all the current takes the path of zero resistance; a path with zero resistance, however, is an...

Yes, I can understand why this is true. The quiz question has not been answered though. Imagine you are an electron in the circuit drawn above and as you travel you encounter two separate paths. One leads eventually to the ground while the other keeps you within the loop. Why do you choose the...

none Berkeman could you please answer the quiz? Is there a good theoretical or physical explanation why the current ''chooses'' not to travel towards the ground?

Homework Statement Given the attached scheme, if R_{1}=R_{2}=R_{3}=10 Ω and \epsilon_{1}=20 V , \epsilon_{2}=10 V determine the potentials at the points A,B,C,D,E. The sources of emf have no internal resistance. Homework Equations My question is: Why is it that no current exists along...

I can't say my experience on algebra books is rich but when I stumbled upon ''Abstract Algebra'' by David S. Dummit and Richard M. Foote I was quite surprised. First of all it contains a large variety of topics. All the algebra that an undergraduate student of mathematics may need is in there...

Suppose we have a bounded linear functional f defined on L1 (the sequence space of all absolutely summable sequences) and we take the natural (Schauder) basis for L1, that is, the set of sequences (E1,E2,...,En,...) that have 1 in the n th position and everywere else zero. Pick x in L1. Then...

First of all I never said I can teach functional analysis or linear algebra, so take it easy. Second, the image (range) of a bounded linear operator is not always a bounded set. A bounded linear operator is called bounded because it maps bounded sets into bounded sets.

Okay something else matt grime. Is it true that the range of a bounded linear operator is always a bounded set?

DeadWolfe you have my respect. Your idea was brilliant! It is enough to find two nonzero matrices such that their product is nonzero. Gongratulations man and thank you !

Why is that? A linear operator from R into R of the form Tx=k*x is bounded. (absolute value as norm)

So can you help me out here ?

R with absolute value is simple enough

By the way, it has to do with functional analysis since I am asking for an expamle of BOUNDED linear operators and not just linear operators.