Math Problem Statement

D=X^2+y^2<equal to 1 . Find the interior point of D in usuall metric

Solution

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Math Problem Analysis

Mathematical Concepts

Topology
Metric Spaces
Interior Points
Euclidean Geometry

Formulas

Euclidean Distance: d((x1, y1), (x2, y2)) = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Definition of Open Ball: B((a, b), r) = {(x, y) ∈ R^2 | sqrt((x-a)^2 + (y-b)^2) < r}

Theorems

Definition of Interior Points
Properties of Open and Closed Sets in Metric Spaces

Suitable Grade Level

Undergraduate Mathematics (First-Year Analysis or Topology)