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In mathematics, a simplicial complex is a set composed of points, line segments, triangles, and their n-dimensional counterparts (see illustration). Simplicial complexes should not be confused with the more abstract notion of a simplicial set appearing in modern simplicial homotopy theory.
Simplifying fractions is the process of reducing the numerator and denominator to their smallest whole numbers so the fraction is in its simplest form. In mathematics, it is always important to make sure everything is in its simplest form.