Recent content by theegyptian

so the probability of returning to the origin is 1/n with n the spatial dimension. In one dimension we have one value (not a distribution). But for 2 and 3 dimensions the probability of returning to origin is 1/2 or 1/3 right ? So how is the distribution ? Because ultimately what is interesting...

Let me ask you a question regarding the X^2 video that you told me to watch. I understand it is a test and it helps take a decision with a confidence level/pourcentage. I am just thinking that the size of the samples play a role and obscure a bit my understanding. In the video example, there are...

I understand what you are thinking but this was not my confusion. I am not that beginner :). The problem was my understanding of central limit theorem and how to apply it. I thought there are 2 averages. One average over the number of molecules, and another average over the time. The average...

I understood the video and what you said. I would just say that the reason of this net force is not only the variance but even the average is not zero because the freedom degree is above 3. For me the number of freedom degrees is the number of water molecule that apply forces to the pollen...

Are we saying that r is the average ?N is the number of molecule ? Not really clear but I will study this distribution. thanks again. The average should really not get more far to 0 as the number of molecule increase but I will see if that is what you meant...

I GOT IT !!! Thank you very much. There is only a single average which is coming from the number of water molecules !!! the evolution of the motion of dye over TIME is actually the throwing a second, or third or 4th etc time the coins to see if we get tail or head. The average motion of Dye over...

I think you mean that the variance increase with the number of molecule !!!! Do you think that we can get the parameter of the Gaussian (average and variance) with a type of binomial law for which N tend to infinite ? where N is the number of molecules !!!

I didn't get that but I will give it a thought. I will try to make a computer simulation. The bold sentence drive me crazy. You mean that if the number were not that high there wouldn't be a net force ? The larger number of molecules, the more we tend to a Gaussian law (central limit theorem)...

I believe you meant decrease in bold. So what you say is that the larger the number of water molecule the closer to zero is the average force ? I agree with that but I tend to think that the number of molecule is so large that we are not supposed to see (by naked eyes) the Brownian motion...

- Can you elaborate on what you call macroscopic ? (compared to water ?) can you take examples ? - How small the approximation won't be right ? - I never said I am not correct ! - Win over what ? - I believe (if I understood you well) Pollen molecule is considered as a small one (compared to...

Hello, Why isn't the forces resultant on a "large" molecule (by small molecule: water for example) zero? The reason for this Brownian motion is the thermal agitation of the water molecule. If we talk about white and Gaussian noise in electronics (due to the thermal agitation of the electrons)...