Recent content by Noesis

Note that this is an equation with a limit on one side. The limit, if it converges evaluates to a number. So this is a relationship between two numbers. Does the statement as provided imply the validity of any further statements? Equivalent ones that can be manipulated and better understood...

Note that to say the sequence is bounded if the range is bounded is the same thing in this case. Nothing new beyond definitions is said here. However, interesting and new things regarding the convergence of a sequence can be said if the sequence is bounded. The sequence/range is bounded if...

In order for change to occur, it must be relative to something else. dF is the statement of an 'infinitesimal quantity', or a differential. If one considers the change of force relative to distance from the origin (position), then that would be represented by \frac{dF}{dx}. Specifically, this is...

It seems I am fundamentally confused. I take it from what is said that Brownian motion refers to atomic motion caused by collisions from neighboring particles. I originally thought Brownian motion also referred to the inherent vibrational motion of particles that exists even if collisions do...

Thank you very much for the articles. I should have been more precise, I meant to say: is Brownian motion considered a physical fact without an (as of yet) underlying explanation, or is there a theory behind its causation.

Origin of Brownian Motion Are there any theories existent for the cause of Brownian Motion? Or is it just generally accepted as is? Have any experiments been conducted to attempt to perturb the seemingly random motion of molecules (i.e., cause it to have a biased probability distribution)...

Is the molecular kinetic energy associated with an increase of heat equally distributed to molecular vibrational, rotational, and translational energies? What is then the exact link to Brownian motion?

One might also wonder if this points to some of our definitions as being non-fundamental. Fundamentally torque is an approximation. If a beam of say Silver and one of Aluminum, both with identical macroscopic parameters, were subjected to the same perpendicular force relative to some axis...

I think this is a very interesting question and useful conclusions can be drawn from it. Below are my thoughts. Comments are welcome. In order to identify a concept with a combination one must demonstrate an algorithm that connects/maps combination to concept. E.g., L/T is a combination, the...

As HallsofIvy said, you can't. You should be clearer with your word choice if you wish to do what chiro referred to. As per your problem: take a look at the variables and see if you can find the conjugate of each expressed as another variable, and then consider their sum.

To comment on the question posed: Absolutely, as long as it meets the given criteria for life, which is why we're struggling to come up with one. I think an equally valid question that would shed light on this one is: Can a living thing be called a robot? I think so.

You're right, I was unclear. I was considering the question raised by Archosaur yet addressing it in reference to the Theseus Paradox, which is different. I had the 'subtractive concept' in mind. The conclusion would be unsubstantiated since all that is possible to conclude is that the...

And the Muad'Dib will be gifted with the sight to see his cursed terrible purpose.

I agree. I think one of the terms that will one day have to be redefined is artificial intelligence. Because what, after all, does natural intelligence really mean? Intelligence is a general concept and should be independent of its substrate.

What an interesting paradox. I have thought about essentially the same question multiple times. From a particular viewpoint, the crux of answering the question lies in establishing some threshold where once crossed the object in question no longer retains its identity. I believe this can be...