5: 2015-10-10 (土) 16:47:08 osinko |
6: 2015-10-18 (日) 23:16:02 osinko |
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| ***不思議な計算 [#l7a40a5e] | | ***不思議な計算 [#l7a40a5e] |
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| + | 指数法則で\(-1\)乗すると逆数になる |
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| + | \({ 2 }^{ -1 }=\frac { 1 }{ 2 } \) |
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| + | \({ 2 }^{ -2 }=\frac { 1 }{ 4 } \) |
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| + | \({ \left( \frac { 1 }{ 2 } \right) }^{ -1 }=2\) |
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| + | \({ \left( \frac { 1 }{ 2 } \right) }^{ -2 }=4\) |
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| \(\frac { 2 }{ \sqrt { 2 } } =\sqrt { 2 }\) | | \(\frac { 2 }{ \sqrt { 2 } } =\sqrt { 2 }\) |
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| \(\frac { 1 }{ \sqrt { 2 } } \simeq 0.7071...\) | | \(\frac { 1 }{ \sqrt { 2 } } \simeq 0.7071...\) |
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| + | \(\frac { \sqrt { 2 } }{ 2 } ={ \sqrt { 2 } }^{ -1 }=0.7071...\) |
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| \(0.7071...\times \sqrt { 2 } \simeq 1\) | | \(0.7071...\times \sqrt { 2 } \simeq 1\) |
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| \(\frac { 2 }{ 0.7071...\times 2 } =\frac { 1 }{ 0.7071... } \simeq \sqrt { 2 } \) | | \(\frac { 2 }{ 0.7071...\times 2 } =\frac { 1 }{ 0.7071... } \simeq \sqrt { 2 } \) |
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| + | \(\sin { (45°)=0.7071... }\) |
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| + | \(\cos { (45°)=0.7071... } \) |
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| ***ネイピア数 [#acda8eab] | | ***ネイピア数 [#acda8eab] |
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| \(e=\lim _{ n\rightarrow \infty }{ { \left( 1+\frac { 1 }{ n } \right) }^{ n } } \simeq 2.71828....\) | | \(e=\lim _{ n\rightarrow \infty }{ { \left( 1+\frac { 1 }{ n } \right) }^{ n } } \simeq 2.71828....\) |
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| + | **アキレスと亀 [#v5226cd2] |