Mike_bb's latest activity

Using the definition of a (finite) hyperreal as ## r + k \epsilon ## where ## \epsilon ## is the smallest infinitessimal, take a random...

Yes it does. I don't think that is the standard representation of the hyperreal line: where would ## \frac \omega 2 ## be found? In...

It needs infinitesimal microscope to see this infinitesimal number.

Like any other number on the hyperreal line. You do realise that the hyperreal "line" cannot be represented by a single line: it looks...

It's algebraic definition of hyperreal numbers. But how will it look on the hyperreal line?

It seems trivial to me that if this is a hyperreal line then they are hyperreal numbers.

Ok. How to take infinitesimal numbers on hyperreal line?

Hello! I considered number line and I couldn't take random points that correspond to hyperreal numbers on the hyperreal line. Instead...

You didn't understand me and I didn't understand you)) I mean that we can obtain point on plot if we'll consider vector or function. In...

We can obtain point in coordinate system if we use functions (as you mentioned above) for visualise points (and surface consists of this...

I mean that we can obtain coordinate that we need if we use functions. For example, for ##\vec a=(x,2x)## we can use ##y=2x## and we'll...

In 4D space with coordinate system XYZW (X,Y - real axis, Z, W - imaginary axis) we can obtain point. Is it right?

If I understand you correctly we can obtain set of points if we represent complex vector as complex function. Is it true?

If you have a complex function of a complex variable, then you can visualise the real and imaginary parts as separate 2D surfaces in 3D...

Each particular complex vector would be a point in 3D space representing its real part and a point in another 3D space representing its...