Search

20 Feb 2013: For every isomorphism ι : Ql = C, the image of the residual representation rι(π′) contains SL2(Flb),up to conjugation, for some b a. • ... This contradiction shows that rι(π′) must in fact have residual imagecontaining SL2(Flb), some b a, and

12 Jun 2013: B.Th.12. Christian doctrine. This paper will introduce some of the major themes and disciplines of Christian theology through a focus on Jesus Christ. ... B.Th.30. Philosophy of religion. This paper will explore some classical themes in the philosophy of

28 Jun 2013: Davies, Lucy Hamilton, Pen Kease, Jane Monson, Okey Nzelu, Rebecca Perry, Anna Robinson, Colette Sensier, Lavinia Singer, Chrissy Williams/strong/span/em/p p align="center"b/b/p p ... some of the original texts in Old Norse/p p align="center"for further

10 Sep 2013: Department for consideration by the Board in accordance with Statute C, I, 1(b);. ... provided that the duties specified under subsections (b) and (c) may be assigned by the Head of a Department to some other person approved by the General Board.

28 Jun 2013: some of the original texts in Old Norse/p p align="center"for further information contact bDebbie Potts/b at dp358@cam.ac.uk or 01223 767310/p ... Attendees are also invited to bring along some of their old poems to rework in the light of kennings.

2 Dec 2013: Show that f and g havethe same splitting field if and only if b = cmar for some c K and r N with gcd(r,m) = 1. ... Deduce that every finite abelian groupis the Galois group of some Galois extension K/Q.

10 Sep 2013: B.Th.12. Christian doctrine. This paper will introduce some of the major themes and disciplines of Christian theology through a focus on Jesus Christ. ... B.Th.30. Philosophy of religion. This paper will explore some classical themes in the philosophy of

10 Sep 2013: Neither seal shall be affixed without such authority, except when authority has been given in some other manner for which provision is made by Statute. ... b) The Great Common Seal shall be kept in some secure place, in a chest fastened with three locks,

3 Feb 2013: The ICAmodel PICAd consists of those P Pd with. P(B) =. d. j=1. Pj(wT. j B), Borel B,. for some W W and P1,. ... P(B) =. d. j=1. Pj(wT. j B), Borel B,. for some W W and P1,.

19 Sep 2013: C/Λ2 are conformally equivalent if and only if thelattices are related by Λ2 = λΛ1 for some λ C. ... 5. Show that complex tori C/〈1,τ1〉 and C/〈1,τ2〉 are analytically isomorphic if and only if τ2 =. (aτ1 b)/(cτ1 d), for some matrix(a bc d

24 Jan 2013: Xn be independent Poisson random variables, with Xi having meaniθ, for some θ > 0. ... b) For some n > 2, let X1,. ,Xn be iid with Xi Exponential(θ).

11 Feb 2013: 3. An element r of a ring R is nilpotent if rn = 0 for some n. ... 6. Let A and B be elements of the power-set ring P(S), for some set S.

19 Sep 2013: 8. By considering the singularity at or otherwise, show that any injective analytic map f : C Chas the form f(z) = az b, for some a C and b C. ... conformally equivalent). 10. Define an equivalence relation on C by z w iff z = 2sw for some s Z.

25 Feb 2013: domain. Could there be some other Euclidean function φ making Z[3] into a Euclidean. ... Does it follow that the ring R is either a field or a polynomial ringF [X] for some field F?

5 Oct 2013: Also,‖Dmkζmk‖Rd Kn‖ζ‖Y mn /h. k for some Kn > 0 depending on n and independent of [a,b]. ... for some C̃n > 0 depending on n and [a,b], however still true for any [ã, b̃] [a,b].

10 Oct 2013: E[XY |G] = Y E[X|G] a.s. Proof. We first consider the case where Y = 1(B), for some B G. ... Proof. Suppose that x converges. Then if for some a < b we had that N([a,b],x) = ,that would imply that lim infn xn a < b lim supn xn, which

5 Aug 2013: where S is a hidden (unknown) state variable uniformlydistributed in [0,B], for some known B > 0. ... for some δ1 [0,1).This corresponds to switching once you detect that S is lessthan B(1δ1)2.

19 Jan 2013: f(z) =a(z z0) bc(z z0) d. ,. for some a,b,c,d,z0 C. ... Nm,n=0. am,nf(z)mg(z)n 0, for some am,n C. Hence show that any two meromorphic functions f,g on a complextorus C/Λ are ‘algebraically

6 Feb 2013: By considering f (x) = g(x) x, orotherwise, show that there is some c in [0, 1] such that g(c) = c. ... 13. Let f : R R be a function that has the intermediate value property: if f (a) < c < f (b)then c = f (x) for some x between a and b.

20 Feb 2013: By using a second-order mean value theorem for f , show that φ′(x) = f ′′(θx)/2 for some. ... there is some c with a < c < b and f ′(c) = z.