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  "body": "\n## Definition\n\nLet $I$ be an interval and let $f \\colon I \\to \\mathbb{R}$ be a function.\nThe function $f$ is strictly convex if\n$$f(t x + (1 - t) y) \u003c t f(x) + (1 - t) f(y)$$\nfor all $x, y \\in I$ with $x \\ne y$ and all $t \\in (0, 1)$.\n\n## Remarks\n\nEach strictly convex function is [[convex|0VV0HSW1ZS]]. A linear function is convex but not strictly convex.\nA strictly convex function has at most one minimum point.\nFor example, $x^2$ and $e^x$ are strictly convex. Mathlib defines strict convexity as `StrictConvexOn`.\n\n## Explanations\n\n### L1 human\n\nA strictly convex function bends upward everywhere, with no straight pieces in its graph.\nThe chords lie strictly above the graph, except at their ends.\n",
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