Economics 360: microeconomic theory spring, 2014 problem set #4 saint gba334 module 1 assignment leave a reply cancel reply your email address will not be published.

Chem344 spring 2014 problem set no 1 due: fri, jan 24 @ 2pm before class (use the boxed numbers 1-14 to mark your answers) hw to be handed in atkins (9th ed) chapter 20: exercises: 3(b), 9(b), 31(b. Problem set 2 intermediate microeconomics 73-230 due: 2014, november, 10 directions: • provide your solutions directly on the paper in section c, write below the questions in the space provided.

Problem 3 a set of vertices ⊆ of graph (,) is a dominating set if for every ∈, it holds that ∈ or is adjacent to a vertex in the problem of computing minimum dominating set is np-hard. Problem 3: the angular momentum operator (20 points) the orbital angular momentum operator for a particle with momentum pˆ and position x ˆ is ˆ l ˆ = x ×p ˆ , or in component form l ˆ i = ε ijkx ˆ j p k j,k ∑ , where i,j,k index the cartesian components and sums go from 1 to 3 (1=x, 2=y,3=z.

Problem two: the power set revisited (3 points) cantor's theorem says that every set is strictly smaller than its power set, but it doesn't actually say how big the power set of a set has to be prove by induction that if s is a finite set, then |℘(s)| = 2|s. Examined in problem 2, the indifference curve represented by the equation u = 2 x + y do allow for x or y to equal zero: for any u 0, we can either set x = 0 (in which case y =u) or set y = 0 (in which case x =u 2 4) therefore, the indifference curves in this problem intersect both axes. Problem set 2, spring 2014 solutions implies that beyond a reasonable doubt the taxi involved in the hit and run was blue however probability theory shows without any doubt that the probability a random taxi seen by the witness as blue is actually blue is only 1/3 this is considerably more than a reasonable doubt.

Problem 2 for each of the following planar edge-coloring problems, either show that the problem is np-hard, or show that there exists a polynomial-time algorithm for the problem (eg, by reducing to shortest paths, minimum spanning tree, matching, network ﬂow, etc.

- 7 7 nice trick, ¾ life, can also do graphically lifetime is 1/k or time to get to 1/e of start.

2014 problem set 2

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