Answer the following statements true (T) or false (F)
1. Java does not require that a variable be declared before it is used within a program.
2. A variable of type boolean can be explicitly converted to that of type int.
3. The modulus operator, %, returns the remainder of integer division.
4. The result of integer division is truncated in Java.
1. False
2. False
3. True
4. True
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To add a second condition to a VBA procedure you would use a(n):
A) If Then, Else statement. B) This for That statement. C) If This, Then That statement. D) True, False.
This problem demonstrates the use of Laplacian quadratic form for interpolation on graphs. Consider an observed graph signal, shown in Figure 9.8, where signal values at nodes 2, 3, and 4 are missing. The aim of interpolation is to fill in the missing values. One criteria for estimating the missing values is to minimize the squared sum of the differences in signal values between the neighboring vertices, which is nothing but the quadratic form of the graph Laplacian. Therefore, the interpolation problem can be written as
signal with zeros at missing indices. For example, if the values at nodes 2, 3, and 4 are
missing, the masking matrix is
M = diag {1,0,0,0,1} and the observed graph signal can be
written as y = [2, 0, 0, 0, 6] T. Find the missing values in the observed graph signal by solving
the above optimization problem. Hint: Use the method of Lagrange multipliers.
