Recent content by robert2734
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Solving Inequalities with Fraction Denominators
If x<-4/3 then (3x+1)/(3x+4) is always greater than one. When x=0, (3x+1)/(3x+4)=1/4. When x=infinity, (3x+1)/(3x+4)=1. There's some region, while x is positive, that the expression is within your region of interest.- robert2734
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- Forum: Precalculus Mathematics Homework Help
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Graduate What is the optimal level of uranium enrichment for different purposes?
>what percentage enrichment is necessary for commercial reactors. That expression is a bit ambiguous. The Canadian use natural uranium with no enrichment by dint of using heavy water (dueterium oxide). Most commercial reactors in the world including the Iranian's use natural water and...- robert2734
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- Forum: High Energy, Nuclear, Particle Physics
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Graduate Relative Prime Gaps: Fast Algorithm for Calc.
Yes. Your construction is better than mine. For N=5, 120=2x3x5, 119=7x, and 121=11x. So from 114 to 126 it is 2,5,2,3,2,7,2,11,2,3,2,5,2. A gap of 13. I only got a gap of 11 from 2312 to 2322 2,3,2,5,2,7,2,3,2,11,2. For N=6 we have 210=2x3x5x7. 209=11x. But 211 isn't a multiple of 13...- robert2734
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- Forum: Linear and Abstract Algebra
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Graduate Relative Prime Gaps: Fast Algorithm for Calc.
Your middle 5 is four away from the first 5 and six away from the last 5. That doesn't happen. Following my algorithm for N=4, 2*3*5*7=210 and 212 to 220 is a prime gap. 200 to 208 is also a prime gap. 221 is actually 13*17 and 209 is 11*19 but neither is a multiple of 2,3,5 or 7. N=4...- robert2734
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- Forum: Linear and Abstract Algebra
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Graduate Relative Prime Gaps: Fast Algorithm for Calc.
Let Xn be the product of the first n primes. Let Pn+1 be the n+1th prime. Let k be any positive integer. Then kXn+2 to kXn+(Pn+1)-1 are all multiples of at least one of the first n primes. Also kXn-2 to kXn-(Pn+1)+1 is also a prime gap of the same size. I would conjecture they are the...- robert2734
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- Forum: Linear and Abstract Algebra
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Graduate How to estimate the upper limit mass of electron neutrino?
As I understand it they measure the maximum energetic electron from the beta decay of tritium. The missing energy from the mass difference of H3 minus He3 minus the most energetic electron produced is an upper limit on the rest mass of an electron neutrino.- robert2734
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- Forum: High Energy, Nuclear, Particle Physics
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Graduate What are some other ways to solve the equation x^3+y^3+z^3+t^3=1999?
Binomial expansion. (10+x)^3=1000+3*10^2*x+3*10*x^2+x^3 (10-x)^3=1000-3*10^2*x+3*10*x^2-x^3 (10+x)^3-(10-x)^3=2000+60*x^2 (10+x)^3-(10-x)^3-(60x^2)^1/3^3-1=1999- robert2734
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- Forum: Linear and Abstract Algebra
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Graduate Temperature distribution of neutrino background radiation
Don't you need to know the rest mass of the neutrino to solve for its velocity?- robert2734
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- Forum: High Energy, Nuclear, Particle Physics
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Graduate The difference between the weak and mass eigenstates in the PNMS matrix
Isn't electronness conserved? So only the decay π→e+v1 exists. It could also decay π→μ+v2. Anyways, neutrinos are created in a flavor eigenstate but propagate in a mass eigenstate.- robert2734
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- Forum: High Energy, Nuclear, Particle Physics
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Graduate Why in general speaking the mass of gauge boson is zero?
If a boson is a goldstone boson, then its mass has to be zero. http://en.wikipedia.org/wiki/Goldstone_boson W and Z get their mass from the Higgs mechanism. Gluons, photons, and gravitons have mass zero.- robert2734
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- Forum: High Energy, Nuclear, Particle Physics
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Graduate Why are all protons identical?
Since the proton is not an elementary particle, why do all protons have the same size gluon string connecting the three quarks? As evidenced by all protons having the same rest mass of 938MeV and size of 10^-15m. Couldn't protons have varying numbers of gluons tieing the quarks together?- robert2734
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- Protons
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- Forum: High Energy, Nuclear, Particle Physics
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Graduate Spin-0 Particles: Photon & Antiphoton Same?
Is assigning a color (or two colors) to a gluon a convenience? Don't gluons carry one of the 8 generator matrices of SU(3)?- robert2734
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- Forum: High Energy, Nuclear, Particle Physics
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Undergrad Gravity-Nuclear force relation
First generation nuclear power plants use pumps to pump cooling water into the reactor core. If the electric supply is interrupted for any reason such as a tsunami for a time longer than the battery backup will cover, the core will meltdown. Newer designs suspend emergency cooling water above...- robert2734
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- Forum: High Energy, Nuclear, Particle Physics
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Graduate Difference in Powers of Odd Primes
13^3-3^7=2197-2187=10=13-3.- robert2734
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- Forum: Linear and Abstract Algebra
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Graduate What is the Origin of Electric Charge?
kaluza klein.- robert2734
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- Forum: High Energy, Nuclear, Particle Physics