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The center can be found using the Floyd–Warshall algorithm. [4] [5] Another algorithm has been proposed based on matrix calculus. [6] The concept of the center of a graph is related to the closeness centrality measure in social network analysis, which is the reciprocal of the mean of the distances d(A,B). [1]
In mathematics and physics, the centroid, also known as geometric center or center of figure, of a plane figure or solid figure is the arithmetic mean position of all the points in the surface of the figure. [further explanation needed] The same definition extends to any object in -dimensional Euclidean space. [1]
h = the height of the semi-ellipsoid from the base cicle's center to the edge Solid paraboloid of revolution around z-axis: a = the radius of the base circle h = the height of the paboloid from the base cicle's center to the edge
Graph paper, coordinate paper, grid paper, or squared paper is writing paper that is printed with fine lines making up a regular grid. It is available either as loose leaf paper or bound in notebooks or Graph Books. It is commonly found in mathematics and engineering education settings, exercise books, and in laboratory notebooks.
A tangential polygon has each of its sides tangent to a particular circle, called the incircle or inscribed circle. The centre of the incircle, called the incentre, can be considered a centre of the polygon. A cyclic polygon has each of its vertices on a particular circle, called the circumcircle or circumscribed circle. The centre of the ...
Cartesian coordinate system with a circle of radius 2 centered at the origin marked in red. The equation of a circle is (x − a) 2 + (y − b) 2 = r 2 where a and b are the coordinates of the center (a, b) and r is the radius.
To determine a circle completely, not only its radius (or curvature), but also its center must be known. The relevant equation is expressed most clearly if the Cartesian coordinates ( x , y ) {\displaystyle (x,y)} are interpreted as a complex number z = x + i y {\displaystyle z=x+iy} .
Upper semicircle with radius 1 and center (0, 0) and its derivative. The circle of radius with center at (,) in the – plane can be broken into two semicircles each of which is the graph of a function, + and , respectively: + = + (), = (), for values of ranging from to + .