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Posted by van khea នៅ 08/19/2011
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អត្ថបទនេះត្រូវបានចុះផ្សាយលើ 08/19/2011 ម៉ោង 5:37 ព្រឹក ហើយ ត្រូវបានរៀបជាសំណុំឯកសារ ក្នុង គណិតវិទ្យាផ្នែកវិសមភាព. អ្នកអាច តាមមើល គ្រប់ចំលើយ ទៅអត្ថបទនេះ ឆ្លងតាម RSS 2.0 បំរែបំរួលពត៌មាន. អ្នកអាច ទំលាក់ មួយចំលើយ, ឬ តាមដានត្រលប់ ពី វ៉ែបសៃថ៍ផ្ទាល់ខ្លួន របស់អ្នក.
![\displaystyle \geq \biggl(\frac{x^{\frac{11}{6}}}{\sqrt[6]{y^2+z^2}}+\frac{y^{\frac{11}{6}}}{\sqrt[6]{z^2+x^2}}+\frac{z^{\frac{11}{6}}}{\sqrt[6]{x^2+y^2}}\biggl)^3](http://s0.wp.com/latex.php?latex=%5Cdisplaystyle+%5Cgeq+%5Cbiggl%28%5Cfrac%7Bx%5E%7B%5Cfrac%7B11%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7By%5E2%2Bz%5E2%7D%7D%2B%5Cfrac%7By%5E%7B%5Cfrac%7B11%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7Bz%5E2%2Bx%5E2%7D%7D%2B%5Cfrac%7Bz%5E%7B%5Cfrac%7B11%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7Bx%5E2%2By%5E2%7D%7D%5Cbiggl%29%5E3&bg=fafcff&fg=2a2a2a&s=1 "\displaystyle \geq \biggl(\frac{x^{\frac{11}{6}}}{\sqrt[6]{y^2+z^2}}+\frac{y^{\frac{11}{6}}}{\sqrt[6]{z^2+x^2}}+\frac{z^{\frac{11}{6}}}{\sqrt[6]{x^2+y^2}}\biggl)^3")
![\displaystyle \frac{x^{\frac{11}{6}}}{\sqrt[6]{y^2+z^2}}=\frac{(x^2)^{\frac{7}{6}}}{\sqrt[6]{x^3y^2+z^2x^3}}](http://s0.wp.com/latex.php?latex=%5Cdisplaystyle+%5Cfrac%7Bx%5E%7B%5Cfrac%7B11%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7By%5E2%2Bz%5E2%7D%7D%3D%5Cfrac%7B%28x%5E2%29%5E%7B%5Cfrac%7B7%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7Bx%5E3y%5E2%2Bz%5E2x%5E3%7D%7D&bg=fafcff&fg=2a2a2a&s=1 "\displaystyle \frac{x^{\frac{11}{6}}}{\sqrt[6]{y^2+z^2}}=\frac{(x^2)^{\frac{7}{6}}}{\sqrt[6]{x^3y^2+z^2x^3}}")
![\displaystyle \frac{x^{\frac{11}{6}}}{\sqrt[6]{y^2+z^2}}+\frac{y^{\frac{11}{6}}}{\sqrt[6]{z^2+x^2}}+\frac{z^{\frac{11}{6}}}{\sqrt[6]{x^2+y^2}}](http://s0.wp.com/latex.php?latex=%5Cdisplaystyle+%5Cfrac%7Bx%5E%7B%5Cfrac%7B11%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7By%5E2%2Bz%5E2%7D%7D%2B%5Cfrac%7By%5E%7B%5Cfrac%7B11%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7Bz%5E2%2Bx%5E2%7D%7D%2B%5Cfrac%7Bz%5E%7B%5Cfrac%7B11%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7Bx%5E2%2By%5E2%7D%7D&bg=fafcff&fg=2a2a2a&s=1 "\displaystyle \frac{x^{\frac{11}{6}}}{\sqrt[6]{y^2+z^2}}+\frac{y^{\frac{11}{6}}}{\sqrt[6]{z^2+x^2}}+\frac{z^{\frac{11}{6}}}{\sqrt[6]{x^2+y^2}}")
![\displaystyle =\frac{(x^2)^{\frac{7}{6}}}{\sqrt[6]{x^3y^2+z^2x^3}}+\frac{(y^2)^{\frac{7}{6}}}{\sqrt[6]{y^3z^2+x^2y^3}}+\frac{(z^2)^{\frac{7}{6}}}{\sqrt[6]{z^3x^2+y^2z^3}}](http://s0.wp.com/latex.php?latex=%5Cdisplaystyle+%3D%5Cfrac%7B%28x%5E2%29%5E%7B%5Cfrac%7B7%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7Bx%5E3y%5E2%2Bz%5E2x%5E3%7D%7D%2B%5Cfrac%7B%28y%5E2%29%5E%7B%5Cfrac%7B7%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7By%5E3z%5E2%2Bx%5E2y%5E3%7D%7D%2B%5Cfrac%7B%28z%5E2%29%5E%7B%5Cfrac%7B7%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7Bz%5E3x%5E2%2By%5E2z%5E3%7D%7D&bg=fafcff&fg=2a2a2a&s=1 "\displaystyle =\frac{(x^2)^{\frac{7}{6}}}{\sqrt[6]{x^3y^2+z^2x^3}}+\frac{(y^2)^{\frac{7}{6}}}{\sqrt[6]{y^3z^2+x^2y^3}}+\frac{(z^2)^{\frac{7}{6}}}{\sqrt[6]{z^3x^2+y^2z^3}}")
![\displaystyle \frac{(x^2)^{\frac{7}{6}}}{\sqrt[6]{x^3y^2+z^2x^3}}+\frac{(y^2)^{\frac{7}{6}}}{\sqrt[6]{y^3z^2+x^2y^3}}+\frac{(z^2)^{\frac{7}{6}}}{\sqrt[6]{z^3x^2+y^2z^3}}](http://s0.wp.com/latex.php?latex=%5Cdisplaystyle+%5Cfrac%7B%28x%5E2%29%5E%7B%5Cfrac%7B7%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7Bx%5E3y%5E2%2Bz%5E2x%5E3%7D%7D%2B%5Cfrac%7B%28y%5E2%29%5E%7B%5Cfrac%7B7%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7By%5E3z%5E2%2Bx%5E2y%5E3%7D%7D%2B%5Cfrac%7B%28z%5E2%29%5E%7B%5Cfrac%7B7%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7Bz%5E3x%5E2%2By%5E2z%5E3%7D%7D&bg=fafcff&fg=2a2a2a&s=1 "\displaystyle \frac{(x^2)^{\frac{7}{6}}}{\sqrt[6]{x^3y^2+z^2x^3}}+\frac{(y^2)^{\frac{7}{6}}}{\sqrt[6]{y^3z^2+x^2y^3}}+\frac{(z^2)^{\frac{7}{6}}}{\sqrt[6]{z^3x^2+y^2z^3}}")
![\displaystyle \geq \frac{(x^2+y^2+z^2)^{\frac{7}{6}}}{\sqrt[6]{x^3y^2+y^3z^2+z^3x^2+x^2y^3+y^2z^3+z^2x^3}}](http://s0.wp.com/latex.php?latex=%5Cdisplaystyle+%5Cgeq+%5Cfrac%7B%28x%5E2%2By%5E2%2Bz%5E2%29%5E%7B%5Cfrac%7B7%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7Bx%5E3y%5E2%2By%5E3z%5E2%2Bz%5E3x%5E2%2Bx%5E2y%5E3%2By%5E2z%5E3%2Bz%5E2x%5E3%7D%7D&bg=fafcff&fg=2a2a2a&s=1 "\displaystyle \geq \frac{(x^2+y^2+z^2)^{\frac{7}{6}}}{\sqrt[6]{x^3y^2+y^3z^2+z^3x^2+x^2y^3+y^2z^3+z^2x^3}}")
![\displaystyle \Rightarrow \frac{x^{\frac{11}{6}}}{\sqrt[6]{y^2+z^2}}+\frac{y^{\frac{11}{6}}}{\sqrt[6]{z^2+x^2}}+\frac{z^{\frac{11}{6}}}{\sqrt[6]{x^2+y^2}}](http://s0.wp.com/latex.php?latex=%5Cdisplaystyle+%5CRightarrow+%5Cfrac%7Bx%5E%7B%5Cfrac%7B11%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7By%5E2%2Bz%5E2%7D%7D%2B%5Cfrac%7By%5E%7B%5Cfrac%7B11%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7Bz%5E2%2Bx%5E2%7D%7D%2B%5Cfrac%7Bz%5E%7B%5Cfrac%7B11%7D%7B6%7D%7D%7D%7B%5Csqrt%5B6%5D%7Bx%5E2%2By%5E2%7D%7D&bg=fafcff&fg=2a2a2a&s=1 "\displaystyle \Rightarrow \frac{x^{\frac{11}{6}}}{\sqrt[6]{y^2+z^2}}+\frac{y^{\frac{11}{6}}}{\sqrt[6]{z^2+x^2}}+\frac{z^{\frac{11}{6}}}{\sqrt[6]{x^2+y^2}}")
vankhea បាននិយាយ
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ពិតជាពិបាកណាស់សម្រាប់ខ្ញុំ ព្រោះអត់ដឹងថាត្រូវទាញយកទុកជាឯកសារយ៉ាងម៉េចទេ។ តើបងប្រុស អាចជួយដាក់តំណភ្ជាប់មួយ សម្រាប់អាចទាញយកបាន បានទេ? ជាឯកសារ Doc ឬ PDF ក៏បានដែរ។
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