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Look on the web for a data base that can be converted to an undirected graph. For example, in Science there is a data base of proteins and their interactions. Each protein can be represented by a vertex and two proteins that interact are connected with an edge. Find a data set that will yield a graph with at least 1000 vertices and a number of edges that is roughly in the range or one to two times the number of vertices. Thus, the graph will be quite sparse and have many connected components. Find all connected components and create a table with the number of components of each size. For example, 312 isolated vertices. 124 components consisting of two vertices connected by an edge, 29 components with three vertices, etc.
The sum of two consecutive integers is 41. What are the integers? Two consecutive integers are numbers in sequence like 4 and 5 or -30 and -29, that are each 1 number apart. Le
We know that a factor is a quantity which divides the given quantity without leaving any remainder. Similar to LCM above we can find a highest common factor (HCF)
Graph f ( x ) = |x| Solution There actually isn't much to in this problem outside of reminding ourselves of what absolute value is. Remember again that the absolute value f
Find the normalized differential equation which has {x, xex} as its fundamental set
It is the last case that we require to take a look at. During this section we are going to look at solutions to the system, x?' = A x? Here the eigenvalues are repeated eigen
Application of Linear Equations We are going to talk about applications to linear equations. Or, put in other terms, now we will start looking at story problems or word probl
One coin is tossed thrice. what will be the probability of getting neither 3 heads nor 3 tails
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what shapes can go into a triangular prism
#What is an easy way to find the area of any figure
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