If she is bright and loves mathematics, she should go on to do graduate studies. Undergrad maths is really boring compared to graduate level stuff. Then the world is her oyster. She should find a good school and a good supervisor. The world of professional mathematicians is pretty exciting !

The book of Genesis is definitely considered allegorical by most Christians, including the Pope. However most Christians also believe that left to themselves, humans quickly descent into sin, and from there war, pestilence, famine and whatnot. Jesus saves us not because he died on the cross, that is just a spectacular example of incomprehensible self-sacrifice. He saves us because if you believe in him, then you will not descend into sin, simply because by loving your neighbor, war, famine, whatnot becomes quickly impossible.

Anyway, even if the garden of Eden never happened, Christianity does not collapse. Christianity is a faith, it can explain away anything.

As Gandhi said, I love your Christ but I don't love your Christians.

In the beginning was very low entropy and a lot of energy. Then it went downhill from there.

Does this experience account for the solar panel manufacturing costs and their environmental footprint as well? Even the most optimistic studies admit it is not zero.

Ray's solution is an invariant during the trajectory. It doesn't really help with the integration, which is still to be done numerically.

Good luck solving NS in the presence of turbulence.

Sounds like the life of these people might be fun too. A long and fun life, this is not fair !

Sorry, but 2003 says this is old news.

You chose your 40-year window quite well. Komarov died in Soyuz 1 in 1967 when his parachutes failed to deploy, and Volkov, Dobrovolski and Patsayev died in Soyuz 11 of a depressurization event in 1971. Since then no other deaths, but there has been two other almost fatal problems with Soyuz capsules, most notably with Soyuz TM5 in 1988.

Overall the fatality rate in Soyuz is 1.75% and the one in the Shuttle is 2%. Not a statistically significant difference in my opinion.

Very seriously, how do you know ? What have you really seen ?

You could make the case that a large proportion of Americans are still not well integrated in the mainstream in the US, after many many generations: the African-Americans. Despite people like Obama, it's quite literally the elephant in the room.

France or UK are also quite welcoming societies in actual fact. The recent elected new government in France has lots of people originally from all over the world, look it up, it is actually quite stunning. The former president's father was from Hungary.

In Australia, of all places, there was for a long while a very strong anti-immigrant sentiment fueled by some politicians. They were putting refugees in camps in the desert!

Most countries should realize that immigrants are people willing to get out of their way to participate in a better society for a better life.

According to this, yearly in-state public school on-campus total fees average 21k

Actually, based on the abstract, the article does not talk about the influence of radiation.

Yes, there are international laws regarding even wars. Basically if you fight for a country, in any regular army, with a uniform and within a chain of command, you are a lawful combatant.

Contrary to what the Fine Announcement says, and although Tao's proof itself does not require any long or involved computer calculation, it relies on previously computed results. More precisely, the proof uses a numerical bound under which the Riemann Hypothesis is known to be true. This is theorem 1.5 in his paper.

Theorem 1.5 (Numerical verification of Riemann hypothesis). Let T0 := 3.29 × 10^9.
Then all the zeroes of the Riemann zeta function in the strip {s : 0 \leq (s) \leq 1; 0 \leq
(s) \leq T0} lie on the line (s) = 1/2. Furthermore, there are at most 10^10 zeroes in
this strip.

If this gives you any comfort, sound does *not* work with multi-users on Mac OSX. It always gets stuck with one of the users.