Recent content by Zaphodx57x

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    Definition of Volume Limited Sample for Sky Surveys

    Does anybody have a link to a precise definition of a "volume limited sample." This pertains especially to sky surveys that catalog galaxies. Due to limited precision, surveys tend to miss fainter galaxies as redshift increases. Thus, very loosely, I think, a volume limited sample filters out...
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    Convert Spearman Rank Test Correlation to P-Value

    I am trying to convert the spearman rank test correlation coefficient to a p-value but I haven't been able to find anything online as to how to go about this. I'm not looking for a calculator, I really would like to know how to convert from this correlation coefficient to a p-value. Any help...
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    How Do You Calculate Collision Probability in a Particle-Filled Volume?

    In a volume V there exist N particles of diameter d. If we place some detector in this volume, what is the probability that the detector will measure a collision in a time interval t. Or what is the probability that the detector will travel some specified distance into this volume. There...
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    Is Surface Density of Starlight Synonymous with Surface Brightness?

    I have a problem that asks for the surface density of starlight at 8 kpc for a particular spiral galaxy. I have all the information to calculate surface brightness. Does "surface density of starlight" mean "surface brightness", or are these completely different things?
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    Angles on the celestial sphere

    Thank you much.
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    Angles on the celestial sphere

    Given the right ascension and declination of two objects in the sky. Is there a way to calculate the angle between them? If so, do right ascension and declination need to be converted to radians or can they retain their units?
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    Light being intercepted by dust

    There exists one dust grain of radius 0.1 micrometer per every 10^12 hydrogen atoms. Show that as light travels through a 1 cm layer of this comrpessed gas, only about 1% will be intercepted. Then show how thick a layer would be needed to block 1/e of the rays. I believe the density of...
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    Solve Rate of Convergence Problems Easily

    I made some progress by taking the maclaurin polynomial and only keeping the first couple terms. I can't get anything satisfactory for this one though \lim_{n\rightarrow infinity} [ln(n+1) - ln(n)] = 0 I get to an answer of 2-n or so, maybe I should keep more terms. Anybody help would be...
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    Solve Rate of Convergence Problems Easily

    I'm not sure how to solve these problems. The example given in the book does not use trig functions. Any insight into how I solve these would be helpful. Find the following rates of convergence. \lim_{n\rightarrow infinity} sin(1/n) = 0 My thought would be to do the following...
  10. Z

    What happens during Bose-Einstein condensation of helium atoms?

    I was reading today about superfluids and the like. They were talking about how at a certain low temperature bosons will all go into their ground state. I'm trying to get a physical feel for what this means. If a mole of helium 4 atoms(boson) are cooled so that condensation occurs. What...
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    Fourier analysis and prob. distributions?

    Thanks for the reply. I'll play with it a little and see what I can get out of it.
  12. Z

    Fourier analysis and prob. distributions?

    I guess profundity is ruled out.
  13. Z

    Fourier analysis and prob. distributions?

    Ok, this might seem like either a really idiotic question or a really profound one. Consider a probability distribution. I'm picturing a normal distribution, is it meaningful to be able to build up a final probability distribution from a set of narrower probability distributions? Ok...
  14. Z

    How Do You Solve Difficult Engineering Statics Problems?

    Is that force directly at point A? Is that a second force at the bottom? If I remember correctly, you usually have to find the spot where only components of tension and force in one direction can be calculated. Like, if that force is directly at point A then set up a static equilibrium...
  15. Z

    Triple Integration for Volume: Finding Intersections and Sketching Functions

    I would start off by making at the very least a rough sketch of the volume you are trying to find, that way you can find out the boundaries you are dealing with.
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