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Let A be the adjacency matrix of an undirected network and 1 be the column vector whose elements are all 1. In terms of these quantities, write expressions for:
a) the vector k whose elements are the degrees ki of the vertices;
b) the number m of edges in the network;
c) the matrix N whose element Nij is equal to the number of common neighbors of vertices i and j;
d) the total number of triangles in the network, where a triangle means three vertices, each connected by edges to both of the others
Let L:R^n -->R^n be a linear operator on R^n. suppose that L(x) = 0 for some x does not equal 0. Let A be the matrix representing L with respect to standard basis. Show that matrix A is singular.
problem its been a busy weekend for larry. five people in his neighborhood left on vacation saturday morning and each
Find two numbers whose product is 192 and the sum of the first plus three times the second is a minimum. (there should be a primary and a secondary equation)
Substantive responses will count toward participation. What is the problem asking for if they request you to find the "x intercept"? How would you find the "x intercept"? What is the problem asking for when they request you to find the 'y intercep..
Find the present value of Rs. 2,000 due in 6 years if money is worth compounded semi-annually. (b) Ascertain the present value of an amount of Rs. 8,000 42/SEM - I /2011
a researcher wishes to estimate the proportion of college students who cheat on exams.nbsp a poll of 490 college
the weight of a baby measured over an 11-month period is given in the weight chart below for this problem. weight lbage
Using Excel formula, calculate the discount of a mower that lists for $1,217 with the trade discount series of 15/4/1.
The cross section of a hill can be approximated by the curve of y = 0.3x - 0.00003x 3from x = 0 to x = 100 m. The top of the hill is level. How high is the hill?
eliminate the parameter from the parametric equationx 2 cos t 1 y 2 sin t -
How many minutes will it take until the tank is full? (1 meter=1.094 yards)
According to Investment Digest ("Diversification and the Risk/Reward Relationship", Winter 1994, 1-3), the mean of the annual return for common stocks from 1926 to 1992 was 19.4%.
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