A set that does not contain any elements is called the empty set and is represented by the symbol ∅. If a point on a plane is represented by coordinates ( x , y ), and the set M is M = {( x , y ) | x2 + y2 < r }, then if r < 0, M has no elements. In other words, M = ∅. The empty set is a subset of all sets. Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information |
元(要素)を一つも含まない集合を空集合といい,記号∅で表す。平面上の点を座標(x,y)で表し,集合 M を M={(x,y)|x2+y2<r}とするとき,もし r<0 であれば,Mは元をもたない。すなわち M=∅ である。空集合はすべての集合の部分集合である。
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