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      <revision>11</revision>
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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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  <region id="0" left="18" top="18" width="240" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Umgang mit Audiodaten (.wav)</p>
    </text>
    <text lang="eng">
      <p bold="true">Access to sound files (.wav)</p>
    </text>
  </region>
  <region id="1" left="423" top="18" width="168" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Mathcad File Access.sm">Mathcad File Access</p>
    </text>
  </region>
  <region id="2" left="423" top="36" width="299" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Section import-export.sm">Import/Export von Daten und Dokumenten</p>
    </text>
    <text lang="eng">
      <p href="Section import-export.sm">Import/Export of data and documents</p>
    </text>
  </region>
  <region id="3" left="423" top="54" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Handbook.sm">Inhalt</p>
    </text>
    <text lang="eng">
      <p href="Handbook.sm">Contents</p>
    </text>
  </region>
  <region id="4" left="18" top="90" width="713" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>SMath Studio kann Audiodateien (.wav) lesen, schreiben und abspielen. Die entsprechendenFunktionen benötigen absolute oder relative Dateinamen, relativ zum aktuellen Verzeichnis.</p>
    </text>
    <text lang="eng">
      <p>SMath Studio can read, write and play sound files (.wav). The corresponding functions take absolute or relative (to the current directory) paths.  </p>
    </text>
  </region>
  <region id="5" left="18" top="144" width="561" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>So wird das aktuelle Verzeichnis auf den Pfad des aktuellen Dokuments gestellt. </p>
    </text>
    <text lang="eng">
      <p>This makes the directory of the currently open (this) file current:</p>
    </text>
  </region>
  <region id="6" left="18" top="180" width="659" height="27" color="#000000" bgColor="#ffffff" fontSize="9">
    <math decimalPlaces="2">
      <input>
        <e type="operand" style="string" />
        <e type="function" preserve="true" args="1">DocumentDirectory</e>
        <e type="function" preserve="true" args="1">CurrentDirectory</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">D:\FHB\Software\SMath\Activebook\activebook\</e>
      </result>
    </math>
  </region>
  <region id="7" left="18" top="216" width="168" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Audiodaten schreiben</p>
    </text>
    <text lang="eng">
      <p bold="true">Writing sound files</p>
    </text>
  </region>
  <region id="8" left="18" top="252" width="346" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Zunächst wird hier ein Vektor mit 2048 Intensitätswerten erzeugt.</p>
    </text>
    <text lang="eng">
      <p>First, we create a vector of 2048 samples</p>
    </text>
  </region>
  <region id="9" left="36" top="288" width="63" height="23" color="#000000" bgColor="#ffffff" fontSize="9">
    <math decimalPlaces="2">
      <input>
        <e type="operand">N</e>
        <e type="operand">2048</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="10" left="117" top="288" width="241" height="68" color="#000000" bgColor="#ffffff" fontSize="9">
    <math optimize="2" decimalPlaces="2">
      <input>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operand">N</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">M</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">127</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operand">200</e>
        <e type="operator" args="2">*</e>
        <e type="operand">j</e>
        <e type="operand">N</e>
        <e type="operator" args="2">/</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
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  <region id="11" left="18" top="360" width="716" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Wenn man daraus eine Audiodatei machen will, muss man noch die Abtastrate (Werte proSekunde) und die Auflösung (Bits pro Wert) angeben.</p>
    </text>
    <text lang="eng">
      <p>When making a sound out of a vector, we need to add sampling rate (samples per second)and resolution (bits for level encoding) data.</p>
    </text>
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  <region id="12" left="18" top="414" width="423" height="25" color="#000000" bgColor="#ffffff" fontSize="9">
    <math optimize="2" decimalPlaces="2">
      <input>
        <e type="operand" style="string">test.wav</e>
        <e type="operand">SampleRate</e>
        <e type="operand">8000</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Resolution</e>
        <e type="operand">8</e>
        <e type="operator" args="2">:</e>
        <e type="operand">M</e>
        <e type="function" preserve="true" args="4">WRITEWAV</e>
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    </math>
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  <region id="13" left="18" top="450" width="168" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Audiodateien abspielen</p>
    </text>
    <text lang="eng">
      <p bold="true">Playing sound files</p>
    </text>
  </region>
  <region id="14" left="36" top="486" width="187" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">file</e>
        <e type="operand" style="string">test.wav</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="1">Play</e>
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  </region>
  <region id="15" left="342" top="486" width="266" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Das funktioniert nicht wie erwartet.</p>
    </text>
    <text lang="eng">
      <p>This does not work as expected:</p>
    </text>
  </region>
  <region id="16" left="342" top="513" width="226" height="42" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">a</e>
        <e type="operand">file</e>
        <e type="operand" style="string">test.wav</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="1">Play</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
      </input>
    </math>
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  <region id="17" left="18" top="558" width="234" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Metadaten einlesen</p>
    </text>
    <text lang="eng">
      <p bold="true">Getting sound file metadata</p>
    </text>
  </region>
  <region id="18" left="36" top="594" width="238" height="25" color="#000000" bgColor="#ffffff" fontSize="9">
    <math decimalPlaces="2">
      <input>
        <e type="operand">WavInfo</e>
        <e type="operand" style="string">test.wav</e>
        <e type="function" preserve="true" args="1">GETWAVINFO</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="19" left="36" top="630" width="137" height="80" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">WavInfo</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand">8000</e>
        <e type="operand">8</e>
        <e type="operand">8000</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
  <region id="20" left="189" top="630" width="163" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Kanäle</p>
    </text>
    <text lang="eng">
      <p>Number of channels </p>
    </text>
  </region>
  <region id="21" left="189" top="648" width="283" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Abtastrate (Werte pro Sekunde)</p>
    </text>
    <text lang="eng">
      <p>sampling rate (samples per second</p>
    </text>
  </region>
  <region id="22" left="189" top="666" width="242" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Auflösung (Bit)</p>
    </text>
    <text lang="eng">
      <p>Resolution (bits per sample)</p>
    </text>
  </region>
  <region id="23" left="189" top="684" width="308" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Bytes pro Sekunde (im Mittel)</p>
    </text>
    <text lang="eng">
      <p>Average data rate (bytes per second)</p>
    </text>
  </region>
  <region id="24" left="18" top="720" width="168" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Audiodateien einlesen</p>
    </text>
    <text lang="eng">
      <p bold="true">Reading sound files</p>
    </text>
  </region>
  <region id="25" left="36" top="756" width="171" height="25" color="#000000" bgColor="#ffffff" fontSize="9">
    <math optimize="2" decimalPlaces="2">
      <input>
        <e type="operand">M</e>
        <e type="operand" style="string">test.wav</e>
        <e type="function" preserve="true" args="1">READWAV</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="26" left="243" top="756" width="90" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">M</e>
        <e type="function" preserve="true" args="1">min</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="27" left="342" top="756" width="107" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">M</e>
        <e type="function" preserve="true" args="1">max</e>
      </input>
      <result action="numeric">
        <e type="operand">253</e>
      </result>
    </math>
  </region>
  <region id="28" left="243" top="783" width="82" height="25" color="#000000" bgColor="#ffffff" fontSize="9">
    <math optimize="2" decimalPlaces="2">
      <input>
        <e type="operand">n</e>
        <e type="operand">M</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="29" left="351" top="783" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">n</e>
      </input>
      <result action="numeric">
        <e type="operand">2048</e>
      </result>
    </math>
  </region>
  <region id="30" left="18" top="810" width="332" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Versatz für die symmetrisierte Darstellung ermitteln</p>
    </text>
    <text lang="eng">
      <p>Determine the offset for symmetrization</p>
    </text>
  </region>
  <region id="31" left="36" top="837" width="242" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">res</e>
        <e type="operand" style="string">test.wav</e>
        <e type="function" preserve="true" args="1">GETWAVINFO</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="32" left="36" top="864" width="155" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Offset</e>
        <e type="operand">2</e>
        <e type="operand">res</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">^</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="33" left="189" top="873" width="111" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Offset</e>
      </input>
      <result action="numeric">
        <e type="operand">127</e>
      </result>
    </math>
  </region>
  <region id="34" left="18" top="900" width="119" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Diagramm erzeugen</p>
    </text>
    <text lang="eng">
      <p>Plot the data</p>
    </text>
  </region>
  <region id="35" left="36" top="927" width="291" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">P</e>
        <e type="operand">1</e>
        <e type="operand">n</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">M</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operand">Offset</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="36" left="18" top="972" width="633" height="134" color="#000000" bgColor="#ffffff" fontSize="9">
    <plot type="2d" render="lines" scale_x="0.0121278563541806" scale_y="0.00929372178554058" scale_z="0.00156243349010845" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-287" transpose_y="0" transpose_z="0">
      <input>
        <e type="operand">P</e>
      </input>
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