page_title: Partition of an interval
hierarchical_section_title: Partition of an interval
caption_attribution_description: Plot of function and Riemann sum rectangles
context_page_description: In mathematics, a partition of an interval [a, b] on the real line is a finite sequence x₀, x₁, x₂, ..., xₙ of real numbers such that
  a = x₀ < x₁ < x₂ < ... < xₙ = b.
  In other terms, a partition of a compact interval I is a strictly increasing sequence of numbers starting from the initial point of I and arriving at the final point of I.
  Every interval of the form [xᵢ, xᵢ ₊ ₁] is referred to as a subinterval of the partition x.
context_section_description: In mathematics, a partition of an interval [a, b] on the real line is a finite sequence x₀, x₁, x₂, ..., xₙ of real numbers such that
  a = x₀ < x₁ < x₂ < ... < xₙ = b.
  In other terms, a partition of a compact interval I is a strictly increasing sequence of numbers (belonging to the interval I itself) starting from the initial point of I and arriving at the final point of I.
  Every interval of the form [xᵢ, xᵢ ₊ ₁] is referred to as a subinterval of the partition x.
caption: A partition of an interval being used in a Riemann sum. The partition itself is shown in grey at the bottom, with one subinterval indicated in red.
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