Search
Search Funnelback University
- Refined by:
- Date: 2019
1 -
50 of
259
search results for b&b |u:www.maths.cam.ac.uk
Fully-matching results
-
MATHEMATICAL TRIPOS Part IA Thursday, 26 May, 2016 9:00 ...
https://www.maths.cam.ac.uk/postgrad/files/paperia_1.pdf30 Aug 2019: a) Use suffix notation to prove that. a (b c) = c (a b). ... r (a b b c c a) = a (b c),. -
MATHEMATICAL TRIPOS Part III Monday, 5 June, 2017 1:30 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2017/paper_109.pdf30 Aug 2019: 2. (i) State and prove the Erdős–Ko–Rado Theorem. (ii) Two set systems, A and B, are called cross-intersecting if A B 6= whenever A Aand B B. ... f(r, s) elements such thatA B X 6= for all A A and B B. -
M. PHIL. IN STATISTICAL SCIENCE Friday 30 May 2003 ...
https://www.maths.cam.ac.uk/postgrad/mphil/files/stats/2003/Paper31.pdf19 Jun 2019: µ(B) =. B. dp dθ. for B (0,) [0, 2π). A random countable set Φ R2 is defined to consist of allintersections of pairs of lines in Π. -
MATHEMATICAL TRIPOS Part III Thursday, 28 May, 2015 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2015/paper_60.pdf30 Aug 2019: µ0ρ(B b b B),. b. t= B u u B. Consider solutions of the form u(s, φ, z, t) = ũ(s, z)eσtimφ, etc., where m is aninteger. ... Then verify that. B b b B = Jẑ b 12imJb,. -
MATHEMATICAL TRIPOS Part III Monday, 8 June, 2015 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2015/paper_13.pdf30 Aug 2019: ii) Let A and B be finite multisets of subsets of [n] with A > B, i.e. ... 4log |B|6 |A B||A A||B B|. END OF PAPER. Part III, Paper 13. -
M. PHIL. IN STATISTICAL SCIENCE Thursday 2 June, 2005 ...
https://www.maths.cam.ac.uk/postgrad/mphil/files/stats/2005/Paper42.pdf19 Jun 2019: For the particular choice. ψ(x) = min{b, max{x,b}}, b < :. (i) Find the asymptotic variance V (ψ, Φ), where Φ is the standard normal distri-bution;. ... ii) Verify that the estimator is B-robust, by determining an explicit bound on theinfluence -
MATHEMATICAL TRIPOS Part III Monday, 1 June, 2015 1:30 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2015/paper_22.pdf30 Aug 2019: H(,B) are natural in B B. Part III, Paper 22. 3. ... B(KB′,B)B(ρ. B′,B). B(B′,B). is a bijection. (iii) ρB : B KB is an isomorphism in B. -
M. PHIL. IN COMPUTATIONAL BIOLOGY Wednesday 30 May 2007 ...
https://www.maths.cam.ac.uk/postgrad/mphil/files/misc/2007Paper_CompBiology.pdf19 Jun 2019: 40%. (b) Describe and compare hierarchical and partitioning methods for clustering of sam-ples. ... theoutput distribution is specified by B = b(j,k). -
MATHEMATICAL TRIPOS Part III Friday, 2 June, 2017 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2017/paper_309.pdf30 Aug 2019: where A = A(t z) and B = B(t z) are non-zero smooth functions of t z. ... d) Show that the vacuum Einstein equation Rab = 0 reduces to A′′/A B′′/B = 0. -
MATHEMATICAL TRIPOS Part III Monday, 4 June, 2018 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2018/paper_108.pdf30 Aug 2019: Fix a number a > 1. Let (X, B, µ, T) be a measure preserving system, and letf L1(X, µ). ... Bwith 0 < µ(A) < ε, then for every k Z>0 and ε > 0, there is a set B B such that thesets B, T(B),. , -
MAT3, MAMA MATHEMATICAL TRIPOS Part III Friday, 31 May, ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2019/paper_125.pdf30 Aug 2019: b) What is a formal group, and what is an isomorphism of formal groups? ... Show that N(B) < and that if N(B)/. B as B then rank E(Q) > 2. -
MATHEMATICAL TRIPOS Part III Friday, 29 May, 2015 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2015/paper_57.pdf30 Aug 2019: µ0( B) B ,. B. t= (u B) ,. B = 0 ,. 2Φ = 4πGρ. 1. (a) Formulate the equations governing the steady, spherically symmetric, adiabatic flowof an unmagnetized, non-self-gravitating perfect gas in ... form. u = v(z,t) axey , B = B(z,t) , ρ = ρ(z,t) ,. -
MATHEMATICAL TRIPOS Part III Friday, 5 June, 2015 1:30 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2015/paper_21.pdf30 Aug 2019: b) Let Γ be a finitely generated group and H a subgroup of finite index. ... 4. 4. (a) State and prove Van Kampen’s Lemma. (b) Let P 〈a, b, c | [a, b], [b, c], [c, a]〉, the standard presentation of Z3. -
MATHEMATICAL TRIPOS Part IA Thursday, 26 May, 2016 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/misc/paperia_1.pdf30 Aug 2019: a) Use suffix notation to prove that. a (b c) = c (a b). ... r (a b b c c a) = a (b c),. -
M. PHIL. IN STATISTICAL SCIENCE Monday, 31 May, 2010 ...
https://www.maths.cam.ac.uk/postgrad/mphil/files/stats/2010/Paper35.pdf19 Jun 2019: 2. 1 Consider the optimization problem. Minimize f (x). subject to h(x) = b. ... Define the function φ by. φ(b) = infxX. {f (x) : h(x) = b}. -
MATHEMATICAL TRIPOS Part IA Tuesday 1st June 2004 1.30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2004/PaperIA_3.pdf17 Jun 2019: Hence show that the line integral P2P1. F dx. along any path in R3 between points P1 = (0,a, 0) and P2 = (b,b,b) vanishes for anyvalues of a and ... b. The two-dimensional vector field G is defined at all points in R2 except (0, 0) by. -
MAT3, MAMA MATHEMATICAL TRIPOS Part III Thursday, 30 May, ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2019/paper_115.pdf30 Aug 2019: Here N GL(n,C)is some neighbourhood of the identity matrix, W is some neighbourhood of the zero matrixin H(n) = {B Matr(n,C) : B = B}, Matr(n,C) ... You may also assume that exp maps a neighbourhood of zero inu(n) = {B Matr(n,C) : B = B} -
MAT3, MAMA MATHEMATICAL TRIPOS Part III Thursday, 30 May, ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2019/paper_214.pdf30 Aug 2019: For each m denoteB(m) = [m, m]d Zd and B(m) = {(x1,. , ... a) Define the terms: voltage, current flow and effective resistance between a and b. -
M. PHIL. IN STATISTICAL SCIENCE Thursday 29 May 2003 ...
https://www.maths.cam.ac.uk/postgrad/mphil/files/stats/2003/Paper29.pdf19 Jun 2019: b) Let X be a random variable such that EX2 < and E(X | G. ... n0. b) Let(Xn. )n0 be a positive supermartingale. For fixed a, b, b > a > 0, we put N0 = 1. -
MATHEMATICAL TRIPOS Part III Monday, 30 May, 2016 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2016/paper_309.pdf30 Aug 2019: M). DefineC : Tp(M) Tp(M) , X 7 C(X) B(A(X)). Show that C is a tensor of rank (1,1), i.e. ... a multilinear map C : Tp(M) T. p (M) R,. and determine the components Cαβ of C in terms of the components of A and B. -
MATHEMATICAL TRIPOS Part IA Thursday, 31 May, 2012 9:00 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2012/PaperIA_1.pdf17 Jun 2019: a (b c). Given that the vector a b b c c a is orthogonal to the plane Ψ of the faceABC, obtain an equation for Ψ. ... b) (i) Prove that the real series. f(x) =. n=0. (1)n x2n. -
MAT3, MAMA MATHEMATICAL TRIPOS Part III Wednesday, 5 June, ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2019/paper_149.pdf30 Aug 2019: Write π(fa,b) C. under this identification explicitlyin terms of a and b. ... Hint: First check that fa,b fa′,b′ = faa′,x for some x depending ona, a′, b, b′, and that [fa,1, f1,b] = f1,b(1a1). -
MATHEMATICAL TRIPOS Part III Friday, 9 June, 2017 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2017/paper_216.pdf30 Aug 2019: n,. b Gamma(c, 1). (a) Derive a Gibbs sampler for the posterior distribution of (θ1,. , ... θn, b). (b) Prove that the Markov chain on the parameter θ = (θ1,. , -
MATHEMATICAL TRIPOS Part IA Wednesday, 5 June, 2019 1:30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2019/paperia_4_2019.pdf17 Jun 2019: Use it to compute 3803 (mod 17). (b) The Fibonacci numbers F0, F1, F2,. ... n=1. fn(A) = and f(B) = B. [Here fn denotes the n-fold composite of f with itself.]. -
MATHEMATICAL TRIPOS Part III Wednesday, 6 June, 2018 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2018/paper_314.pdf30 Aug 2019: B) B, (3). B. t= (u B) , (4). 2Φ = 4πGρ. ... R(t) = αĖaρb1tc. (3). Determine the values of the constants a, b, and c. -
MAT3, MAMA, NST3AS, MAAS MATHEMATICAL TRIPOS Part III Monday, ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2019/paper_314.pdf30 Aug 2019: 4π( B) B, (3). B. t= (u B) , (4). 2Φ = 4πGρ. ... t(u B) F = Qh,. without making assumptions about the spatial distribution of entropy s. -
PaperIA_4.dvi
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2009/PaperIA_4.pdf17 Jun 2019: a A there exists b B with f (b) = a and g(b) = h(a). ... b) Let k and m be positive integers, let n = km, let A1,. , -
MATHEMATICAL TRIPOS Part IA Thursday, 30 May, 2019 9:00 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2019/paperia_1_2019.pdf17 Jun 2019: i) (a b) (c d),(ii) (a b) [(b c) (c a)]. ... b) Give the general solution for x and y of the simultaneous equations. -
MATHEMATICAL TRIPOS Part III Friday, 8 June, 2018 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2018/paper_107.pdf30 Aug 2019: b) Suppose that there is no non-zero function u C2,α() satisfying Lu = 0 in , u = 0on. ... question as a fixed point problem for a map T : B B whereB = {v C2,α() : v = 0 on and |v|2,α; 6 ǫ} for an appropriate choice ofǫ > 0.]. -
MATHEMATICAL TRIPOS Part IB Friday 8 June 2001 1.30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2001/PaperIB_4.pdf17 Jun 2019: 15C Linear Mathematics. Let A and B be n n matrices over C. ... b) After a proper time τ, measured in its own rest frame, particle A decays. -
MATHEMATICAL TRIPOS Part IB Friday 8 June 2007 1.30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2007/PaperIB_4.pdf17 Jun 2019: You may assume that (ab) = a.b b.a (b.)a (a.)b. ]. Show that, in a two-dimensional flow, vortex lines keep their strength and movewith the fluid. ... another vortex ofcirculation Γ at the image point, distance b from the wall on the other side. -
MATHEMATICAL TRIPOS Part IB Friday 8 June 2001 9 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2001/PaperIB_3.pdf17 Jun 2019: φ = 1 on r = a for all θ,. φ = 2 on r = b for all θ. ... a) Prove that each pn, n > 1, has n distinct zeros in the interval (a,b). -
MATHEMATICAL TRIPOS Part IB Tuesday, 3 June, 2014 9:00 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2014/PaperIB_2.pdf17 Jun 2019: Show that if a = a′, b = b′ and c = c′, thenthere is a hyperbolic isometry taking ABC to A′B′C′. ... Is there always such an isometry ifinstead the triangles have one angle the same and a = a′, b = b′? -
MATHEMATICAL TRIPOS Part IA Wednesday, 7 June, 2017 1:30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2017/paperia_4_1.pdf17 Jun 2019: i) (A B) (B A) is finite and. (ii) there is a finite set F A B such that f(x) = g(x) for all x A B F. ... n. n. k=1. ak = a. (b) Suppose ak > 0 for every k. -
MATHEMATICAL TRIPOS Part IB Wednesday, 3 June, 2015 9:00 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2015/PaperIB_2.pdf17 Jun 2019: Must there exist a A and b B such that d(a, b) 6 d(x, y)for all x A and y B? ... B = b[r (kẑ lŷ)ẑ r px̂(ŷ r) nẑ(x̂ r)],. where b 6= 0, r = (x, y, z) and x̂, ŷ, ẑ are unit vectors in the x, -
MATHEMATICAL TRIPOS Part IB Friday 10 June 2005 1.30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2005/PaperIB_4.pdf17 Jun 2019: You may assume. 2 14π|x|. = δ3(x) ,. and for fixed vectors a, b. ... Let b < min(a,r/C, 1/K). Show that there isa unique C1 function x : [b,b] [x0 r,x0 r] such that. -
1 Introduction 1.1 Catch-up Prerequisites Basic Topological spaces…
https://www.maths.cam.ac.uk/postgrad/part-iii/files/misc/measuretheory.pdf30 Aug 2019: that if A,B D,A B then we have B A D. ... 1. set is. In 1-D it is defined byµ((a,b]) = ba,. -
PaperIB_2.dvi
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2009/PaperIB_2.pdf17 Jun 2019: gi > (Pg)i. jI. pijgj > 0 i,(a). gi = 1 i B(b). ... c) gi > (P̃g)i i,. where. p̃ij =. {. pij (i / B),δij (i B). -
MATHEMATICAL TRIPOS Part III Tuesday 3 June, 2003 1:30 ...
https://www.maths.cam.ac.uk/postgrad/mphil/files/stats/2003/Paper32.pdf19 Jun 2019: b) there exists a positive random variable ν, P (ν > 0) = 1, with E ‖νA1‖ < suchthat A0 = E (νA1). ... 2θ, or otherwise, derive an. expression for E(eθTa,b. )for each b, < b <. Hence, or otherwise, show that, for t > 0,. P (Ta,b 6 t) = e2abΦ(. -
MATHEMATICAL TRIPOS Part II Alternative B Monday 3 June ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/PaperIIB_1.pdf17 Jun 2019: Show that if B is R-closed then c 6 b B implies c B.(b) Suppose that R satisfies the following condition. ... B C] = {a A |b 6 a (b B b C)}. -
MATHEMATICAL TRIPOS Part IB Wednesday, 5 June, 2019 9:00 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2019/paperib_2_2019.pdf17 Jun 2019: Tie up your answers in separate bundles labelled A, B,. , H according to the. ... If themagnetic field is. B = b ( x, y, 2z ) ,. where b is a constant, find the induced current I, given that the total resistance of theloop is R. -
MATHEMATICAL TRIPOS Part IB Thursday, 8 June, 2017 1:30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2017/paperib_3_1.pdf17 Jun 2019: a′ (b b′) = 0. 15A MethodsLet L be the linear differential operator. ... bi =. b. a. w(x). n. j=1j 6=i. x cjci cj. -
MATHEMATICAL TRIPOS Part II Alternative A Thursday 3 June ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2004/PaperIIA_3.pdf17 Jun 2019: A plane electromagnetic wave with a magnetic field B = B(t,x,z)ŷ, travelling inthe xz-plane at an angle θ to the x-direction, is incident on the interface ... An electron is at rest in the presence of a magnetic field B = (B, 0, 0), andexperiences an -
MATHEMATICAL TRIPOS Part II Alternative A Monday 3 June ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/PaperIIA_1.pdf17 Jun 2019: Show that if B is R-closed then c 6 b B implies c B.(b) Suppose that R satisfies the following condition. ... B C] = {a A |b 6 a (b B b C)}. -
MATHEMATICAL TRIPOS Part IB Tuesday, 6 June, 2017 9:00 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2017/paperib_1_0.pdf17 Jun 2019: Tie up your answers in separate bundles labelled A, B,. , H according to the. ... b′ ei(k′xωt). ]. ,. where. e′ = e 2(n e)n ,. b′ = b 2(n b)n ,. k′ = k 2(n k)n. -
Post Masters Consultancies for Mathematicians
https://www.maths.cam.ac.uk/opportunities/careers-for-mathematicians/summer-research-mathematics/files/Zibrouwius.pdf17 Jun 2019: What is ptychography? b b. ca. 15 m. coherent x-ray beam (wavelength 150 pm). -
MATHEMATICAL TRIPOS Part IB Thursday, 6 June, 2019 1:30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2019/paperib_3_2019.pdf17 Jun 2019: continuous? (b) Which of the following functions are uniformly continuous? Briefly justify youranswers. ... 21H Optimisation(a) Suppose that A Rmn and b Rm, with n > m. -
MATHEMATICAL TRIPOS Part II Alternative A Friday 4 June ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2004/PaperIIA_4.pdf17 Jun 2019: 7:. Read 6 items. > gender <- scan(,""). 1: b b b g g g. ... With this choice showthat in a general spacetime. Aa;b;b RacAc = 0. -
MATHEMATICAL TRIPOS Part IB Friday, 8 June, 2018 1:30pm ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2018/paperib_4_2018.pdf17 Jun 2019: Tie up your answers in separate bundles labelled A, B,. , H according to the. ... A : A Z and f|B : B Z are continuous,show that f is continuous. -
MATHEMATICAL TRIPOS Part II Alternative A Friday 6 June ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2003/PaperIIA_4.pdf17 Jun 2019: Find the potentials φ1(r) in a < r < b and φ2(r) inb < r < c. ... a unit flow along the path s, (s, a), a, (a, b), b, (b, t), t.
Search history
Recently clicked results
Recently clicked results
Your click history is empty.
Recent searches
Recent searches
Your search history is empty.