Examens corriges

An exercise on Light Affine Logic - ENS Lyon

Notations: The lambda-calculus application will be denoted (t)u. We will write ?x1x2.t for ?x1.?x2.t, and (t) u1 ... un for (... ((t) u1) ...un).



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Exercise sheet 1 (due on 28 April 2020) 1. The quantum harmonic ...
a) Check if ?D(?) is a unitary operator. b) Using the Baker-Hausdorff-Campbell formula to show that |?> = e?|?|2. 2.
Computer Graphics Exercise
shader needs View and Projection matrices. - uniform locations between shaders vary -> matrix locations in star shader differ from planet shader.
Solutions to Exercise 1+ - nano-optics
We see now, the transmission is a function of ? and the maximum transmission occurs at ? =45?, as well as losing 50% in terms of the field amplitude, which 
Risk Theory Exercise Sheet 2 - Uni Ulm
(a) Show that the Weilbull distribution W(r, c) with parameters r, c > 0 is light-tailed for r ? 1 and heavy-tailed for r ? (0,1). (b) Show that 
Introduction to the Calculus of Variations Exercise sheet 1
A light beam goes from (0,1) ? R2 to (1,?1) ? R2. In the upper half plane {y > 0}, the speed of light is c/n1 and c/n2 in the lower half plane {y < 0} 
Exercise Set 8
We want to analyze Shallow-Light trees. Definition. For a undirected graph G, a root r ? V (G) and a metric length function d : E(G) ? R?0, we denote for s, 
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?? ?z??g ?????Z? . 2. ?? ?a?g?U? ?jZ?i?. 3. ???i???A¢q?? P?? ?v?U??. 4. P?i????i??g ?g?.
Université de Poitiers Faculté de Médecine et Pharmacie - DUMAS
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