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In mathematics, specifically in order theory and functional analysis, an element x {\displaystyle x} of an ordered topological vector space X {\displaystyle X} is called a quasi-interior point of the positive cone C {\displaystyle C} of X {\displaystyle X} if x ≥ 0 {\displaystyle x\geq 0} and if the order interval := { z ∈ Z : 0 ≤ z and z ≤ x } {\displaystyle :=\{z\in Z:0\leq z{\text{ and }}z\leq x\}} is a total subset of X {\displaystyle X} ; that is, if the linear span of {\displaystyle } is a dense subset of X . {\displaystyle X.}