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Here we consider the problem of shape averaging. In particular, Li , i = 1, . . . , M are each N × 2 matrices of points in IR 2 , each sampled from corresponding positions of handwritten (cursive) letters. We seek an affine invariant average V, also N × 2, VTV = I, of the M letters Li with the following property: V minimizes
Characterize the solution. This solution can suffer if some of the letters are big and dominate the average. An alternative approach is to minimize instead:
Derive the solution to this problem. How do the criteria differ? Use the SVD of the Lj to simplify the comparison of the two approaches.
Is the effect on the price of toys the same or different? Why is a standards policy preferred to tariffs?
CrystalWater Pty Ltd and ClearWater Pty Ltd are the only producers of spring water in the local market. The market demand for spring water is given by P = 70 - Q1 - Q2. CrystalWater and ClearWater compete by choosing quantities Q1 and Q2
On the basis of the information regarding the risk involved in the two projects, you came up with the following probability distributions for the projects: Project A Project B Probability Net Cash Flows ($) Probability Net Cash Flows ($) 0.3 8,100 ..
Suppose that technophiles are willing to pay $400 now for the latest iphone, but only $300 if they have to wait a year. Normal people are willing to pay $250 and their desire to purchase doesn't vary with time.
Austin Utilities is planning to install solar panels to provide some of the electricity for its groundwater desalting plant. The project would be done in two phases. The first phase will cost $4 million in year 1 and $5million in year 2.
After being the monopolist for awhile, there's a new firm entering the market. Both firms will be choosing output simultaneously (new firm has the same cost function) How many machines would you recommend firm A to produce
Evaluate the role of public opinion, interest groups, and political parties in the political system.
At a particular academically challenging high school, the average GPA of a high school senior is known to be normally distributed with a variance of 0.25. A sample of 20 seniors is taken and their average GPA is found to be 2.71
A few years ago, the Boston Globe reported that the city of Boston planned to spend $14 million to convert the FleetCenter sports arena and entertainment center into an appropriate venue for the Democratic Nominating Convention (DNC).
A coupon bond has a face value of $1,000 and pays interest atthe rate of 10% per year with interest payments made semi-annually.The bond matures 5 years from today. Assume an interest payment was just made.
The first operating expense was in July 2005, and the first replacement expense is in July 2009. If all money earns interest at 5% after the time of endowment, what amount would be available for capital replacements at the end of every fifth year ..
John has a weekly endowment of 140 dollars that he spends on buying games (G) and music cds (M). The price of each game is 30 dollars, the price of each cd is 20 dollars. He can buy any amount of the two goods that satisfies the budget
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