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Exercise 1.2.24

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Example 6 gives $| u_{1} | | U_{1} | \leq \frac{1}{2} (u_{1}^{2} + U_{1}^{2})$ and $| u_{2} | | U_{2} | \leq \frac{1}{2} (u_{2}^{2} + U_{2}^{2}) .$ The whole line becomes $. 96 \leq (. 6) (. 8) + (. 8) (. 6) \leq \frac{1}{2} (. 6^{2} + . 8^{2}) + \frac{1}{2} (. 8^{2} + . 6^{2}) = 1 .$ True: $. 96 < 1$

mathchakra

2021-11-20 14:08

Exercise 1.2.24

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