Search

9 Nov 2010: 3.16. Let K be a field containing a primitive n-th root of unity for some n > 1. ... Showthat P and Q have the same splitting field if and only if b = cnar for some c K and r Nwith gcd(r, n) = 1.

8 Apr 2010: 210). for some one–form Ka. Note that (210) follows from (28) withK A A′ = ω B′A′ ϒB′ A, (211). ... A A′ K B B′ = PA B A′C ′ ω C ′B′ εA′ B′ ρA B (215)in terms of some as yet unknown but symmetric ρA B , where PA B

17 Dec 2010: But by (b), this means that some finite intersectioc oi’ elements of CD is empty, a contradiction. ... But then the W,, defined has the further property that if W, $ W,, for some B’, then W,.$ W,,,.

29 Jan 2010: The second is to. construct some extensions of motives related to elements of higher Chow groups and to. ... as in 1 is probably known to some experts (see for example the penultimate paragraph of.

29 Jul 2010: For this weneed lower bounds on some of the ||vi||. The hypotheses in parts (a), (b)and (c) of Theorem 1.2 are used to give successively better lower bounds,and ... F(x)| max(|a|, |b|, |c|) ||x||3 < 1. Since F(x) = f(u,v,w) for some u,v,w Z it follows

16 Jul 2010: with both the viscosity ratio and density motivated by geological problems, and some of d4 fference now being variable. ... lower layer and in the rising plumes during this. time. Some released fluid was deposited at the 3.• •o.

17 Dec 2010: But by (b), this means that some finite intersectioc oi’ elements of CD is empty, a contradiction. ... But then the W,, defined has the further property that if W, $ W,, for some B’, then W,.$ W,,,.

16 Jul 2010: At this point we outline some of the theoretical considerations governing double-diffusive convection. ... This experiment illustrates some important principles, which are relevant to a number of geological situations.

5 Nov 2010: 4) If the map f of Question 3 is a conformal equivalence, show that F(z) = λz µfor some λ C. ... 5) Show that complex tori C/〈1,τ1〉 and C/〈1,τ2〉 are analytically isomorphic if andonly if τ2 = (aτ1 b)/(cτ1 d), for some matrix.

27 Oct 2010: Then [Bj is a bounded set inRn so contained in some closed ball B(0;R). ... f as test functions if fn, f are all supported in some xedball B(0;R) and sup jD(fn f)j!