Let G be a complete graph with n vertices. Consider the case where n=2. With only 2 vertices it is clear that there will only be one edge. Now add one more vertex to get n = 3. We must now add edges between the two old vertices and the new one for a total of 3 vertices. We see that adding a vertex to a graph with n vertices gives us n more edges. We get the following sequence Edges on a graph with n vertices: 0+1+2+3+4+5+...+n-1. Adding this to itself and dividing by two yields the following formula for the number of edges on a complete graph with n vertices: n(n-1)/2.
g => (g or h) => (s and t) => t => (t or u) => (c and d) => c.We are given premises:# (g or h) -> (s and t) # (t or u) -> (c and d) We would like to derive g -> c.If we assume g (the antecedent in the conclusion) we have the following derivation: # g (assumption) # g or h(weakening) # s and t (premise 1 (modus ponens)) # t(weakening) # t or u (weakening) # c and d (premise 2 (modus ponens)) # c (weakening)So, assuming g we can derive c, i.e. g -> c
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I found a website "textbook of basic nursing" that states pen-aqueous G antibiotics can be administered orally, IM & IV. However, it states Pen- G with procaine is IM only.
Here are some ideas: "No one knows what the G in his name stands for, neither does GIR himself." "GIR is a dysfunctional version of the Irken SIR (Standard-issue Information Retrieval unit) given to Irken invaders."
Graph that equation. If the graph pass the horizontal line test, it is an inverse equation (because the graph of an inverse function is just a symmetry graph with respect to the line y= x of a graph of a one-to-one function). If it is given f(x) and g(x) as the inverse of f(x), check if g(f(x)) = x and f(g(x)) = x. If you show that g(f(x)) = x and f(g(x)) = x, then g(x) is the inverse of f(x).
Is not attainable, given society's available resources and technology.
The graph of g(x) is the graph of f(x) shifted 6 units in the direction of positive x.
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Sparse vs. Dense GraphsInformally, a graph with relatively few edges is sparse, and a graph with many edges is dense. The following definition defines precisely what we mean when we say that a graph ``has relatively few edges'': Definition (Sparse Graph) A sparse graph is a graph in which .For example, consider a graph with n nodes. Suppose that the out-degree of each vertex in G is some fixed constant k. Graph G is a sparse graph because .A graph that is not sparse is said to be dense:Definition (Dense Graph) A dense graph is a graph in which .For example, consider a graph with n nodes. Suppose that the out-degree of each vertex in G is some fraction fof n, . E.g., if n=16 and f=0.25, the out-degree of each node is 4. Graph G is a dense graph because .
A tree is a connected graph in which only 1 path exist between any two vertices of the graph i.e. if the graph has no cycles. A spanning tree of a connected graph G is a tree which includes all the vertices of the graph G.There can be more than one spanning tree for a connected graph G.
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g(x) = x-6 is the function g(x) = x with a negative vertical shift of 6. That is to say, take the whole graph of g(x) = x and move it down 6 units.
cyclomatic number of a graph is e.n+1 where e is number of edge of graph and n is number of node in graoh g
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