Ah, ok. I appreciate your reply.
I guess I'm wondering then why the Maxwell-Boltzmann distribution doesn't just take the general form of the cumulative distribution function (the derivative of which is the probability mass function) with appropriate constants.
Here are pictures of the...
Pressure -- Average Trajectories
The question is this: if we have two distinct three-dimensional but hallow objects, might the average trajectory (the average distance between ANY two points on the object's surface) vary between the objects?
I am lead to believe the answer is yes between a...
drakkith - Well sure. But I was thinking of how identical volumes can have different surface areas.
Thanks for the responses. I get it now. Even though more collisions will be happening in a volume with a larger surface area, the collisions per unit of surface area will remain constant (and...
pressure of a gas -- quick question.
Does the pressure of a gas (assuming temperature is constant) depend on the container's surface area as well as its volume? And if so why isn't this factored into the ideal gas law?
I tried finding the equation for terminal velocity in a broader attempt to understand planetary orbits better. According to wikipedia's two derivations (one of which i don't understand very well) I'm off by a factor of \sqrt 2 . I would greatly appreciate help in finding my thinking/math...
Subsets of the set of primes -- uncountable or countable??
Cantor proved that the sub-sets of the natural numbers are uncountable.
assuming that the the set of primes can be put in a 1-to-1 matching with the natural numbers (which I believe they can...) then it would follow that the sub...
1 2 3 4 5 6
1, 1, 2, 3/2, 4/(3/2), 5/(4/(3/2)), ...
I suppose there are a lot of variations, but the general idea is the terms are defined by:
f(n)*f(n+1)=n, where n is an integer. The top row is the term # (n), and the bottom one is the actual value of...
hmm...yes. I don't doubt it. But in subscribing to this i don't want the amazingness of life to be understated.
The similarity i saw between the fundamental forces and life, was that they all manipulate matter, albeit life does so in a random, non-constant way. And here I am mostly talking...
Generuk,
That view is interesting I think. It is not the least bit intuitive, and I am inclined to think the opposite, but maybe, as you said, it is just our "arrogance" in the matter i.e. how we are programmed.
By the way, I read a bit about Kim Peek the 'megasavant' that recently died...
Right, ok. That makes sense. I understand that somehow the movement of my hand is complicatedly realized through the other forces (you are telling me the basis of it is the electromagnetic force). What I was trying to talk about was the thing that decides this random action. But I imagine that...
Just a quick thought...
Everything to our knowledge is governed by four fundamental forces: the gravitational, electromagnetic, and strong and weak nuclear forces.
But I am wondering, my desire to spontaneously move my hand to the right for example -- what is the explanation for this. Can...
So by manipulating two of the kinematic equations you can find this relationship:
a= acceleration
t = time
v = velocity
v0 = initial velocity
x = displacement
eq (1) = v = v0 + at --> at = v - v0
eq (2) x = 1/2*(v - v0)*t --> 2x/t = v - v0
substituting 2x/t for v -...