diameter
A diameter (Kei, diameter) is the length of the diameter of the figure.
The yen or the diameter of the ball is found for length of "the segments of a line that both endpoints have circumference again on a spherical surface via the center".
And this does not depend on how to get for such a line and I am constant and give the double length of the radius.
Therefore, in the yen and the ball, I call a diameter the diameter for a radius.
In addition, there can be the thing that I call the thing for a line giving a diameter a diameter in the same way.
Furthermore, there is it when I call it a diameter about the general diameter by the diversion of words.
Generally, for the subset (in other words, figure) of the metric space, I can think about a diameter as the upper limit of two points of distance to be included in the set (when there is not the upper limit, it is assumed that the diameter is infinite).
In other words it is d(x, y) When I express distance of two points of で x, y, it is got diameter diam S showy of set S.
For example, "the diameter of the graph" to say in graph theory is the maximum of the distance (the length of the way) between two arbitrary tops on the graph.
When a diameter has a limited price, it is said to be existence world the set.
Even if, in the case of a subset of the Euclidean space, a definition of the existence world is that the set is included in an enough big ball around the origin; it is it in the same thing.
The yen or the diameter of the ball is found for length of "the segments of a line that both endpoints have circumference again on a spherical surface via the center".
And this does not depend on how to get for such a line and I am constant and give the double length of the radius.
Therefore, in the yen and the ball, I call a diameter the diameter for a radius.
In addition, there can be the thing that I call the thing for a line giving a diameter a diameter in the same way.
Furthermore, there is it when I call it a diameter about the general diameter by the diversion of words.
Generally, for the subset (in other words, figure) of the metric space, I can think about a diameter as the upper limit of two points of distance to be included in the set (when there is not the upper limit, it is assumed that the diameter is infinite).
In other words it is d(x, y) When I express distance of two points of で x, y, it is got diameter diam S showy of set S.
For example, "the diameter of the graph" to say in graph theory is the maximum of the distance (the length of the way) between two arbitrary tops on the graph.
When a diameter has a limited price, it is said to be existence world the set.
Even if, in the case of a subset of the Euclidean space, a definition of the existence world is that the set is included in an enough big ball around the origin; it is it in the same thing.