Recent content by 'AQF

Can friction alone cause motion, or is this impossible?

Can you expain this?

Is there any case where kinetic friction would help accelerate an object? For example, if a wedge is being accelerated at a very high rate, it is possible for the mass to travel up the wedge despite gravity. Would this be considered as speeding up?

Can anyone think of a way where friction increases the speed of a moving body, instead of decreasing it? Or prove that this is impossible.

Can you give an example of a coordinare system that corresponds to the rotating non-inertial refence frame?

What is the difference between a frame of refernce and a coordinate system. For example, I know that a rotating frame of reference is non-intertial, but is this also a non-intertial coordinate system? Thanks.

No. Only TEX files are supported by the University Publishing System. Thus, I must convert to TEX, not PDF.

So it is well posed?

Is there a straightforward proof for the existence of the one-dimensional linear heat equation f=u_t_-a^2*u_xx_=0. Is so, how? Note: _t_ represents the subscript, i.e., the derivative t, and _xx_ represents the subscript xx. Is the heat equation well posed? Can this proven? How?

Unfortunately, I was trained as an applied mathematician with few abstract or theoretical courses. This is my first year at this job and for the first time I am completely lost. Can you help?

Thanks. Any other ideas?

(1) If A is an n x n matrix, then prove that (A^T)A (i.e., A transpose multiplied by A) is symmetric. (2) Let S be the set of symmetric n x n matrices. Prove that S is a subspace of M, the set of all n x n matrices. (3) What is the dimension of S? (4) Let the function f : M-->S be defined by...

Can you elaborate, especially on level sets?

We have a subset X, which is contained in R^4 (i.e., it is contained in the reals in 4 dimensions). (a) We must prove that the following two equations represent a manifold in the neighborhood of the point a = (1,0,1,0): (x_1)^2+(x_2)^2-(x_3)^2-(x_4)^2=0 and x_1+2x_2+3x_3+4x_4=4. (b) Also we...

Does anyone know of an easy, effective, and preferably free way to convert Word (*.doc) documents with Mathtype 5.2 equations to standard, compliable LaTeX format (*.tex). This is very important. Thanks.