Intersect
To cross. Two lines can intersect each other much like two streets cross each other at an intersection.
In mathematics, the term ‘intersect’ usually refers to the point or set of points where two or more geometric objects meet. For instance, if we have two lines in a plane, their intersect is the point that lies on both lines. Similarly, the intersect of two circles is the set of points that are common to both circles.
Usually, when we talk about intersections, we’re interested in finding the common element(s) of two or more sets. For example, imagine we have two sets: A = {1, 2, 3, 4} and B = {2, 4, 6, 8}. The intersection of these two sets is the set of elements that are in both A and B, which is {2, 4}. We can represent this with the notation A ∩ B, where the upside-down U-shaped symbol (∩) represents intersection.
Intersections are an important concept in mathematics because they allow us to compare sets and find commonalities between them. They are used in a variety of fields, including geometry, topology, and set theory.
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