Recent content by FactChecker

Good point! This looks more like the situation with computational fluid dynamics, where the value at each point (i'th) depends on all surrounding values. That requires iteratively converging to a solution that is all compatible and consistent. I have no experience with those techniques, but I am...

Thanks! I see the difference. "Time dilation" is definitely frame dependent. "Differential aging" is a comparison between two proper times, which is not frame dependent. I was too casual (lazy?) to correctly understand the term "differential aging".

Ok. We have a differential length. Do the Lorentz transformations give a formula for the differential aging in terms of the differential length? Another question I have is whether a third IRF would agree that the differential aging has the same value? It seems that if the Earth twin and the...

I can understand the importance of distinguishing frame independent effects from frame dependent effects. But one thing bothers me. Calling differential aging a "real" effect and time dilation not a "real" effect means that a "real" effect is caused, explained, and calculated using effects that...

The algebra and analysis with complex values work at least as well as with real values. If you are familiar with the complex exponential function, you should be able to do the analysis.

Are you saying that you are trying to detect round trips by the pattern of speeds, without having position data? If the application fits, I think it would be hard to beat the efficiency of the built-in regular expressions. You don't say what language you are using. Python is very popular now...

It is nice to have some general knowledge of the algorithms that are being used by a utility library. That does not have to be very detailed unless you are really going to work on those algorithms. Other than that, if you have a field of application that you are interested in, IMO, you are wise...

The first three volumes are classic. But it is a very heavy amount of work to study them. I'm not sure that the OP is asking for that kind of commitment.

I think you should study some important algorithms and especially data structures. Those are important topics in programming.

You might want to expand a little on your "data analysis" background. How are you at statistics? Data analysis with statistics may have jobs to offer.

Sorry. I missed that point. I stand corrected.

I routinely used regular expressions to clean up, simplify, or filter inputs from imperfect sources before passing the inputs on to other algorithms. I considered it to be much easier and more reliable than the alternatives.

There are innumerable "real" things that are so related to time, and time only, that I would consider time to be real. Then, when a relatively moving IRF measures those coordinate-independent events and indicates a different time, I would consider the difference to be "real".

I don't think that is a counter example. ##f'(x)(x-1/2)## is positive, so ##f(x) > f(1/2) + f'(1/2)(x-1/2) = -1/4## for ##x < 1/2##

It compares clocks in the most direct way possible in the circumstances. It is very real, in the sense that if a "stationary" observer wants to understand what is really going on in a relatively moving frame, he must take time dilation into account. Consider the following example. In...