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10 May 2024
m 09:08 | General Solution of Linear 2nd Order ODE from Homogeneous 2nd Order ODE and Particular Solution diffhist +48 Robkahn131 talk contribs |
6 May 2024
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N 07:13 | Outer Jordan Content of Right Triangle 3 changes history +2,809 [CircuitCraft; Prime.mover (2×)] | |||
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07:13 (cur | prev) +286 Prime.mover talk contribs | ||||
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07:12 (cur | prev) +67 Prime.mover talk contribs | ||||
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06:14 (cur | prev) +2,456 CircuitCraft talk contribs (Created page with "== Theorem == Let $T \subseteq \R^2$ be defined as: :$T = \set {\tuple {x, y} \in \R^2 : x \ge 0 \land y \ge 0 \land x + y \le 1}$ Then: :$\map {m^*} T = \dfrac 1 2$ == Proof == Let $\epsilon > 0$ be arbitrary. By the Axiom of Archimedes, let $n \in \N$ such that: :$n > 2 \epsilon$ Define $C \subseteq \powerset {\R^2}$ as: :$C = \set {\closedint {\dfrac p n} {\dfrac {p + 1} n} \times \closedint {\dfrac q n} {\dfrac {q + 1} n} : p, q \in \set {0, 1, \dotsc, n...") |