Search

17 Jun 2019: What range of values do these integerstake for (a) a boson gas and (b) a Fermi gas? ... Paper 4. 13. 21C Mathematical Methods. State Watson’s lemma giving an asymptotic expansion as λ for an integral ofthe form.

30 Aug 2019: 2. 1. Suppose Θ Rp is compact, and assume Q : Θ R is a continuous function. ... 6. Define the fixed and random design nonparametric regression model. Define theNadaraya-Watson estimator.

21 Aug 2019: 11F Probability. (a) Consider a Galton–Watson process (Xn). Prove that the extinction probability q isthe smallest non-negative solution of the equation q = F(q) where F(t) = ... In the case of a Galton–Watson process with. P(X1 = 1) = 1/4, P(X1 = 3)

17 Jun 2019: show that V a = δa0 is a solution of (). Calculate V a;a. Electromagnetism can be described by a vector potential Aa and a Maxwell fieldtensor Fab satisfying. ... Paper 4 [TURN OVER. 16. 21A Mathematical Methods. State Watson’s lemma, describing the

16 Oct 2019: Part II, Paper 3. 19. 30A Asymptotic Methods(a) State Watson’s lemma for the case when all the functions and variables involved. ... Thecomplex version of Watson’s lemma is obtained by replacing x with the complex variablez, and is valid for |z| and

17 Jun 2019: What does it mean to say thatf : Σ1 Σ2 is a decipherable code? ... 18. 30B Asymptotic Methods. State Watson’s lemma, describing the asymptotic behaviour of the integral.

20 Jul 2021: Part II, Paper 3. 17. 30A Asymptotic Methods(a) Carefully state Watson’s lemma. ... b) Use the method of steepest descent and Watson’s lemma to obtain an infiniteasymptotic expansion of the function.

27 Jan 2022: Paper 3, Section II30A Asymptotic Methods. (a) Carefully state Watson’s lemma. ... b) Use the method of steepest descent and Watson’s lemma to obtain an infiniteasymptotic expansion of the function.

11 Nov 2019: Paper 3, Section II. 30A Asymptotic Methods(a) State Watson’s lemma for the case when all the functions and variables involved. ... Thecomplex version of Watson’s lemma is obtained by replacing x with the complex variablez, and is valid for |z| and

17 Jun 2019: 27. 2/II/15C Classical Dynamics. (a) A Hamiltonian system with n degrees of freedom is described by the phase spacecoordinates (q1,q2,. ... A vertex x X is flexible if every edge from x is contained in a perfect matching.Show that if |Γ(A)| > |A| for