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    <metadata lang="rus">
      <title>Нахождение нулей полиномов Эрмита</title>
      <author>Кирилл Николаев</author>
      <description>Решение многочленов Эрмита.
Пользователь определяет степень полинома и в результате получает его корни.
Дополнительно показаны графики многочленов Эрмита до 5-той степени включительно.</description>
      <keywords>Примеры, Полиномы Лежандра, Формула Родрига</keywords>
    </metadata>
    <metadata lang="ind">
      <title>Penyelesaian polinomial Hermite</title>
      <author>Kirill Nikolaev</author>
      <translator>Waluyo Adi Siswanto</translator>
      <description>Penyelesaian polinomial Hermite.
Pengguna menyatakan pangkat polinomial untuk memperoleh hasil akar polinomial.
Sebagai tambahan, ditampilkan grafik lima akar pertama dari fungsi Hermite.</description>
      <keywords>Contoh, polinomial Hermite</keywords>
    </metadata>
    <metadata lang="eng">
      <title>Hermite polynomials solving</title>
      <author>Kirill Nikolaev</author>
      <translator>Andrey Ivashov</translator>
      <description>Solving of Hermite polynomials.
User specifies a power of the polinomial to get it's roots.
Additionally represented graphs of first five Hermite functions.</description>
      <keywords>Examples, Hermite polynomials</keywords>
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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
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    <text lang="rus">
      <p bold="true">Нахождение нулей полиномов Эрмита</p>
    </text>
    <text lang="ind">
      <p bold="true">Penyelesaian polinomial Hermite</p>
    </text>
    <text lang="eng">
      <p bold="true">Hermite polynomials solving</p>
    </text>
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  <region id="1" left="9" top="45" width="102" height="24" border="true" color="#000000" bgColor="#dddddd" fontSize="10">
    <text lang="rus">
      <p>Входные данные:</p>
    </text>
    <text lang="ind">
      <p>Data masukan:</p>
    </text>
    <text lang="eng">
      <p>Input data:</p>
    </text>
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    <math>
      <description active="true" position="Right" lang="rus">
        <p>Степень полинома</p>
      </description>
      <description active="true" position="Right" lang="ind">
        <p>Pangkat polinomial</p>
      </description>
      <description active="true" position="Right" lang="eng">
        <p>Polinomial power</p>
      </description>
      <input>
        <e type="operand">n</e>
        <e type="operand">5</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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    <text lang="rus">
      <p>Расчёт:</p>
    </text>
    <text lang="ind">
      <p>Perhitungan:</p>
    </text>
    <text lang="eng">
      <p>Calculation:</p>
    </text>
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      <input>
        <e type="operand">z</e>
        <e type="operand">n</e>
        <e type="function" args="2">H</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="bracket">(</e>
        <e type="operand">n</e>
        <e type="operator" args="2">^</e>
        <e type="operand">e</e>
        <e type="operand">z</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">e</e>
        <e type="operand">z</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="bracket">(</e>
        <e type="operand">z</e>
        <e type="operand">n</e>
        <e type="function" preserve="true" args="3">diff</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
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    </math>
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    <math>
      <input>
        <e type="operand">T</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">z</e>
        <e type="operand">n</e>
        <e type="function" args="2">H</e>
        <e type="operator" args="2">:</e>
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    </math>
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      <input>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
        <e type="operand">k</e>
        <e type="operand">n</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">k</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">T</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">T</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="bracket">(</e>
        <e type="operand">z</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">k</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="4">for</e>
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    <math>
      <input>
        <e type="operand">z</e>
        <e type="function" args="1">D</e>
        <e type="operand">T</e>
        <e type="operator" args="2">:</e>
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    <math>
      <description active="true" position="Right" lang="rus">
        <p>Коэффициенты полинома Эрмита</p>
      </description>
      <description active="true" position="Right" lang="ind">
        <p>Koefisien polinomial Hermite</p>
      </description>
      <description active="true" position="Right" lang="eng">
        <p>Hermite polynomial coefficients</p>
      </description>
      <input>
        <e type="operand">0</e>
        <e type="function" args="1">D</e>
      </input>
      <result action="symbolic">
        <e type="operand">0</e>
        <e type="operand">15</e>
        <e type="operand">0</e>
        <e type="operand">10</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
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  <region id="9" left="9" top="441" width="70" height="24" border="true" color="#000000" bgColor="#dddddd" fontSize="10">
    <text lang="rus">
      <p>Результат:</p>
    </text>
    <text lang="ind">
      <p>Hasil:</p>
    </text>
    <text lang="eng">
      <p>Result:</p>
    </text>
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  <region id="10" left="9" top="468" width="218" height="98" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="rus">
        <p>Корни полинома Эрмита</p>
      </description>
      <description active="true" position="Right" lang="ind">
        <p>Akar polinomial Hermite</p>
      </description>
      <description active="true" position="Right" lang="eng">
        <p>Roots of Hermite polynomial</p>
      </description>
      <input>
        <e type="operand">0</e>
        <e type="function" args="1">D</e>
        <e type="function" preserve="true" args="1">polyroots</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">1.3556</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1.3556</e>
        <e type="operand">2.857</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2.857</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">mat</e>
      </result>
    </math>
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    <text lang="rus">
      <p>Дополнительно:</p>
    </text>
    <text lang="ind">
      <p>Hasil tambahan:</p>
    </text>
    <text lang="eng">
      <p>In addition:</p>
    </text>
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      <input>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="function" args="2">H</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="function" args="2">H</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="function" args="2">H</e>
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="function" args="2">H</e>
        <e type="operand">x</e>
        <e type="operand">4</e>
        <e type="function" args="2">H</e>
        <e type="operand">x</e>
        <e type="operand">5</e>
        <e type="function" args="2">H</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">sys</e>
      </input>
    </plot>
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