Is there a proof that the maximum value for the multiplication of a set of positive numbers of finite sum is achieved when the numbers are all "e"? |
- Is there a proof that the maximum value for the multiplication of a set of positive numbers of finite sum is achieved when the numbers are all "e"?
- After a nuclear detonation, why do rings appear sometimes around the mushroom cloud?
- How is data stored on Discs and other memory devices?
- Why do compounds that have partially filled d-orbitals usually form colored solutions when dissolved?
- How do rebreathers work?
- Can you shoot electrons at photons to absorb [some portion of] the photon's energy?
- Why do people get put in induced comas?
- Why is regular/dark matter (w=0) said to slow down expansion? I thought the Friedman equations say that energy density, regardless of equation of state, cause expansion?
- How much do flies actually contribute to the distribution of pathogens, especially in places where diseases like dysentery are not really found?
| Posted: 27 Nov 2019 10:31 PM PST I have noticed a curious numerical association, and I can not find a method to prove whether my assumption about it is correct or not. (Please note that my background is engineering, not pure math, so my explanation might be a bit simplistic). Given a positive number, "a", expressed as an arbitrary sum of smaller positive numbers: a = a(1) + a(2) + ... + a(n). Let x = a(1) * a(2) * ... * a(n). It appears that the value of x is maximized when a(1) = a(2) = ... = a(n) = e (as near as possible). I have no idea why this should be, but I'd be interested to know if there is a mathematical proof of why it be as it seems to be... Thanks! [link] [comments]  |
| After a nuclear detonation, why do rings appear sometimes around the mushroom cloud? Posted: 28 Nov 2019 05:10 AM PST |
| How is data stored on Discs and other memory devices? Posted: 27 Nov 2019 09:34 AM PST |
| Posted: 27 Nov 2019 03:45 PM PST Why do compounds that have partially filled d-orbital subshells tend to form colored solutions? Are there certain properties that allow compounds with partially filled d subshells to emit more visible light, or am I thinking of it incorrectly? I assume it has to do something with energy levels and electrons, but I'm not entirely sure what. Some examples are CoCl2 (Cobalt (II) Chloride) or KMnO4 (Potassium Permanganate). [link] [comments]  |
| Posted: 27 Nov 2019 09:25 AM PST |
| Can you shoot electrons at photons to absorb [some portion of] the photon's energy? Posted: 27 Nov 2019 05:51 PM PST (I think the answer is yes, but I'm not sure - it's a lead in question to the following two, based on an assumed yes) Is there any configuration of combined state between these two particles that would produce some interesting results if you shot them at each other? What about with very high energy states (gamma rays)? [link] [comments]  |
| Why do people get put in induced comas? Posted: 27 Nov 2019 06:30 AM PST What is the difference between being unconscious, and being, awake and resting, when your body is dealing with trauma and healing? [link] [comments]  |
| Posted: 27 Nov 2019 05:36 AM PST I know that w=0 for matter leads to a shrinking energy density as the universe grows, and therefore the contribution to H from matter will shrink, but this is different from matter reducing the value of H. If more dirt was added to the universe, wouldn't the energy density and thus acceleration increase? Eventually the dirt would become spread out by the size of the universe and its contribution would tend toward 0, but never is this dirt slowing the expansion.
It sounds pedantic, but as I understand it a better description would be that: w=0 matter adds to expansion in a way that decreases with a and therefore time, and so in a matter dominated universe the expansion slows (but doesn't stop, see the a~t2/3 equation or whatever) due to a's increasing, not directly due to that matter. This makes a difference as when I was taught it, the reductive "dark matter slows expansion" statement misled me greatly.
Additionally, I know the H2 ~ density equation, but is there anything that says when solving for H we must take the positive square root for expansion and not the negative for shrinkage? [link] [comments]  |
| Posted: 26 Nov 2019 02:38 PM PST |
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