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19 Nov 2023: b. ],[A B. B> C. ])= p(x|y) = N(a BC1(y b), ABC1B>),. ... For Gaussians:. p(fn, f<n) = N([ a. b. ],[A B. B> C. ])=.

5 Nov 2023: Examples: id, treefoldl : a tree -> b -> (b -> a -> b) -> b. ... Want: Coercible a b then Coercible [a] [b]. Need instances of Coercible for newtype ("wrapping") and data ("lifting") declarations.

9 Jan 2024: f(x) = constant. Show that B ( B) = 0. The tangent vector at each point on a curve is parallel to a non-vanishing vector. ... Evaluate the divergence and curl of the following:. rx, a(x b), a x, x/r3,.

1 Nov 2023: det M = (a b)(b c)(c a)(ab bc ca). [Recall: the value of a determinant is unchanged if a multiple of one row is added to another row.]. ... a0tn ). Hint: Use properties of the determinant such as det(A) det(B) = det(AB).

21 Nov 2023: b) Define an equivalence relation on X Y by (x,y) (x′,y′) iff x = x′. ... D2f exists at (a,b). Show that f is differentiable at (a,b).

5 Nov 2023: The Worker/Wrapper transformation: Original program has type A, worker has type B, wrapper has type B -> A. ... Formally, given. f : A -> A, g : B -> B, abs : B -> A, rep : A -> B.

9 Jan 2024: f(x) = constant. Show that B (B) = 0. The tangent vector at each point on a curve is parallel to a non-vanishing vector. ... U =1. 2. (ε0|E|2. 1. µ0|B|2. ), P =. 1. µ0EB.

18 Jan 2024: from which we found the scattering data for the potential 2m2sech2mx was R(k) = 0and λ1 = κ21 = m2 and c1 =. 2m. Now by considering B = x 2mtanhmx and. B† = x 2mtanhmx , ... and computing BB† and B†B, find the scattering data forthe potential

20 Mar 2024: xix - xxxii). (16) Welsh, B. C., Farrington, D. P. and Sherman, L.W. ... and Boutwell,. B.B. (2021) Examining the association between childhood cognitive ability and psychopathic traits at age 48.

23 Feb 2024: Senior Research Associate. M.B.B.S. MPhil PhD PhD. Email: nm274@medschl.cam.ac.uk.