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Page "Graph isomorphism problem" ¶ 17
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** bounded on the west by the Gloucester city limit, and on the north, east and south by a line drawn east from the limit near Blair Road, south along Blair Road, west along Innes Road, and south along a hydroelectric transmission line situated east of Meadowvale Lane to the western city limit ;
** the part bounded on the north by the City of Ottawa, and on the east, south and west by a line drawn from the border south along Conroy Road, west along Davidson Road and Lester Road, south along the Canadian Pacific Railway, west along Leitrim Road, and north along Limebank Road to the City of Ottawa ;
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** the part bounded on the north by the Quebec border, and on the west by the western city limit, and on the north, east and south by a line drawn from the city limit east along Montreal Road and Highway 17, north along Green's Creek and due north to the Quebec boundary.
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** a linear equation has degree one,
** quadratic equation has degree two,
** cubic equation has degree three,
** quartic equation has degree four,
** quintic equation has degree five,
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bounded and degree
A chain complex is bounded above if all degrees above some fixed degree N are 0, and is bounded below if all degrees below some fixed degree are 0.
Note that the vertex degrees must be finite, but need not be bounded: it is possible to have one vertex of degree 10, another of degree 100, a third of degree 1000, and so on.
If a graph has vertices with high degree then it necessarily will have small angular resolution, but the angular resolution can be bounded below by a function of the degree.
Cubic graphs have slope number at most four, but graphs of degree five may have unbounded slope number ; it remains open whether the slope number of degree-4 graphs is bounded.
For instance, for sparse graphs ( graphs in which the number of edges is at most a constant times the number of vertices in any subgraph ), the maximum clique has bounded size and may be found exactly in linear time ; however, for the same classes of graphs, or even for the more restricted class of bounded degree graphs, finding the maximum independent set is MAXSNP-complete, implying that, for some constant c ( depending on the degree ) it is NP-hard to find an approximate solution that comes within a factor of c of the optimum.
This product Π is a monic polynomial of degree n. It may be shown that the maximum absolute value of any such polynomial is bounded below by 2 < sup > 1 − n </ sup >.
In more practical terms, it is the class of problems that can be solved to any fixed degree of accuracy by running a randomized, polynomial-time algorithm a sufficient ( but bounded ) number of times.
polynomial of degree, exponentials, or bounded functions on
Twice the knot genus is bounded below by the degree of the Alexander polynomial.
It consisted the Provisional District of Mackenzie bounded on the west by the Yukon Territory ; on the south by the parallel of the sixtieth degree of north latitude ; on the east by the second meridian in the system of Dominion Land surveys, and on the north by the continental shore of the Arctic Ocean.
: Wernicke's Theorem: Assume G is planar, nonempty, has no faces bounded by two edges, and has minimum degree 5.
All known examples are automorphic L-functions, and the reciprocals of F < sub > p </ sub >( s ) are polynomials in p < sup >− s </ sub > of bounded degree.

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