﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>a5cc447a-58b7-45b8-a6eb-227a192ca86e</id>
      <revision>5</revision>
    </identity>
    <calculation>
      <precision>9</precision>
      <exponentialThreshold>12</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="1" orientation="Portrait" width="850" height="1100" />
      <margins left="39" right="39" top="39" bottom="39" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
    </pageModel>
    <dependencies>
      <assembly name="SMath Studio Desktop" version="0.98.6179.21440" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.98.6179.21440" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Custom Functions" version="1.1.6281.4594" guid="18dadffd-79a3-4cf9-aee1-d66deb0ea720" />
      <assembly name="Special Functions" version="1.11.6179.21442" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Text Region" version="1.10.6179.21446" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Writer Region" version="0.8.6150.16713" guid="5922d677-323f-4327-8c68-be902d8339ad" />
    </dependencies>
    <mode debug="true" />
  </settings>
  <region id="0" left="252" top="18" width="267" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">Calendar Dates 1/1 MCD</p>
    </text>
  </region>
  <region id="1" left="27" top="54" width="333" height="275" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
    <math>
      <input>
        <e type="operand">date</e>
        <e type="function" args="1">JDay</e>
        <e type="operand">Y</e>
        <e type="operand">date</e>
        <e type="operand">10</e>
        <e type="operand">4</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">trunc</e>
        <e type="operator" args="2">:</e>
        <e type="operand">M</e>
        <e type="operand">10</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operand">date</e>
        <e type="operand">Y</e>
        <e type="operand">10</e>
        <e type="operand">4</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">trunc</e>
        <e type="operator" args="2">:</e>
        <e type="operand">D</e>
        <e type="operand">date</e>
        <e type="operand">Y</e>
        <e type="operand">10</e>
        <e type="operand">4</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">M</e>
        <e type="operand">100</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">M</e>
        <e type="operand">3</e>
        <e type="operator" args="2">&lt;</e>
        <e type="operand">M</e>
        <e type="operand">M</e>
        <e type="operand">12</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Y</e>
        <e type="operand">Y</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
        <e type="operand" style="string">recover JDay(date)</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operand">a</e>
        <e type="operand">153</e>
        <e type="operand">M</e>
        <e type="operator" args="2">*</e>
        <e type="operand">457</e>
        <e type="operator" args="2">-</e>
        <e type="operand">5</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">trunc</e>
        <e type="operand">365</e>
        <e type="operand">Y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">b</e>
        <e type="operand">Y</e>
        <e type="operand">4</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">Floor</e>
        <e type="operand">Y</e>
        <e type="operand">100</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">Floor</e>
        <e type="operator" args="2">-</e>
        <e type="operand">Y</e>
        <e type="operand">400</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">Floor</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">JDay</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">+</e>
        <e type="operand">D</e>
        <e type="operator" args="2">+</e>
        <e type="operand">1721118.5</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">7</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="9">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="369" top="54" width="407" height="242" border="true" color="#000000" bgColor="#ffffe1">
    <writer lang="eng"><![CDATA[<span style="font-family: 'Arial'; font-size: 10pt; font-weight: normal; font-style: normal; color: Black; background-color: Transparent; text-align: left; line-height: 115%">
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 20pt"><strong>JDay(date) . . .</strong></span></span></div>
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 14pt">calculates the <strong><span style="color: Red">Julian day</span></strong> from the Gregorian Calendar</span></span></div>
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 14pt">(the calendar we currently use) espressed in</span></span></div>
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 14pt">YYYYMMDD.DD format  (the  .DD is the decimal</span></span></div>
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 14pt">fraction of the day). The Julian day for a date is the </span></span></div>
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 14pt">number of days that have elapsed between the date</span></span></div>
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 14pt">and January 1,4713 BC. The elapse number of days </span></span></div>
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 14pt">between two dates is simply the difference between</span></span></div>
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 14pt">their Julian day numbers.</span></span></div></span>]]></writer>
  </region>
  <region id="3" left="27" top="333" width="216" height="49" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>Mathsoft daytoday Smath</p>
      </description>
      <input>
        <e type="operand">JDay_0</e>
        <e type="operand">20010610.5</e>
        <e type="function" args="1">JDay</e>
        <e type="operator" args="2">:</e>
        <e type="operand">JDay_1</e>
        <e type="operand">20190715</e>
        <e type="function" args="1">JDay</e>
        <e type="operator" args="2">:</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </math>
  </region>
  <region id="4" left="369" top="333" width="180" height="45" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">JDay_0</e>
        <e type="operand">JDay_1</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
      <result action="numeric">
        <e type="operand">2452071</e>
        <e type="operand">2458679.5</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="5" left="549" top="333" width="197" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>Days laps between JDay[0-1]</p>
      </description>
      <input>
        <e type="operand">JDay_1</e>
        <e type="operand">JDay_0</e>
        <e type="operator" args="2">-</e>
      </input>
      <result action="numeric">
        <e type="operand">6608.5</e>
      </result>
    </math>
  </region>
  <region id="6" left="18" top="396" width="338" height="165" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>Day of week from Calendar Date</p>
      </description>
      <input>
        <e type="operand">date</e>
        <e type="function" args="1">DOW</e>
        <e type="operand">i</e>
        <e type="operand">date</e>
        <e type="function" args="1">JDay</e>
        <e type="operand">1.5</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">Floor</e>
        <e type="operand">7</e>
        <e type="function" preserve="true" args="2">mod</e>
        <e type="operator" args="2">:</e>
        <e type="operand">DOW</e>
        <e type="operand" style="string">Sunday</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">DOW</e>
        <e type="operand" style="string">Monday</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">DOW</e>
        <e type="operand" style="string">Tuesday</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">2</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">DOW</e>
        <e type="operand" style="string">Wednesday</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">3</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">DOW</e>
        <e type="operand" style="string">Thursday</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">4</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">DOW</e>
        <e type="operand" style="string">Friday</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">5</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">DOW</e>
        <e type="operand" style="string">Saturday</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="13">cases</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="360" top="423" width="206" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>Pearl Harbor</p>
      </description>
      <input>
        <e type="operand">19411207</e>
        <e type="function" args="1">DOW</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">Sunday</e>
      </result>
    </math>
  </region>
  <region id="8" left="360" top="459" width="206" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>Mathsoft day</p>
      </description>
      <input>
        <e type="operand">20010610</e>
        <e type="function" args="1">DOW</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">Sunday</e>
      </result>
    </math>
  </region>
  <region id="9" left="360" top="495" width="231" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>GP-pops was born</p>
      </description>
      <input>
        <e type="operand">19401009</e>
        <e type="function" args="1">DOW</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">Wednesday</e>
      </result>
    </math>
  </region>
  <region id="10" left="360" top="531" width="214" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>Normandie D-Day</p>
      </description>
      <input>
        <e type="operand">19440606</e>
        <e type="function" args="1">DOW</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">Tuesday</e>
      </result>
    </math>
  </region>
  <region id="11" left="18" top="594" width="366" height="386" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>converts Julian day to Gregorian Calendar date</p>
      </description>
      <input>
        <e type="operand">jdn</e>
        <e type="function" args="1">CDate</e>
        <e type="operand">Z</e>
        <e type="operand">jdn</e>
        <e type="operand">1721118.5</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="1">Floor</e>
        <e type="operator" args="2">:</e>
        <e type="operand">R</e>
        <e type="operand">jdn</e>
        <e type="operand">1721118.5</e>
        <e type="operator" args="2">-</e>
        <e type="operand">Z</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">G</e>
        <e type="operand">Z</e>
        <e type="operand">0.25</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="1">Floor</e>
        <e type="operator" args="2">:</e>
        <e type="operand">A</e>
        <e type="operand">G</e>
        <e type="operand">36524.25</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">Floor</e>
        <e type="operator" args="2">:</e>
        <e type="operand">B</e>
        <e type="operand">A</e>
        <e type="operand">A</e>
        <e type="operand">4</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">Floor</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">year</e>
        <e type="operand">B</e>
        <e type="operand">G</e>
        <e type="operator" args="2">+</e>
        <e type="operand">365.25</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">Floor</e>
        <e type="operator" args="2">:</e>
        <e type="operand">C</e>
        <e type="operand">B</e>
        <e type="operand">Z</e>
        <e type="operator" args="2">+</e>
        <e type="operand">365.25</e>
        <e type="operand">year</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">Floor</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">month</e>
        <e type="operand">5</e>
        <e type="operand">C</e>
        <e type="operator" args="2">*</e>
        <e type="operand">456</e>
        <e type="operator" args="2">+</e>
        <e type="operand">153</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">trunc</e>
        <e type="operator" args="2">:</e>
        <e type="operand">day</e>
        <e type="operand">C</e>
        <e type="operand">153</e>
        <e type="operand">month</e>
        <e type="operator" args="2">*</e>
        <e type="operand">457</e>
        <e type="operator" args="2">-</e>
        <e type="operand">5</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">trunc</e>
        <e type="operator" args="2">-</e>
        <e type="operand">R</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">month</e>
        <e type="operand">12</e>
        <e type="operator" args="2">&gt;</e>
        <e type="operand">year</e>
        <e type="operand">year</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">month</e>
        <e type="operand">month</e>
        <e type="operand">12</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
        <e type="operand" style="string">End conversion</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operand">CDate</e>
        <e type="operand">year</e>
        <e type="operand">10</e>
        <e type="operand">4</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">month</e>
        <e type="operand">100</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">day</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">11</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="13">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="12" left="414" top="630" width="230" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>2452081.5 Mathsoft Julian day</p>
      </description>
      <input>
        <e type="operand">2452081.5</e>
        <e type="function" args="1">CDate</e>
      </input>
      <result action="numeric">
        <e type="operand">20010621</e>
      </result>
    </math>
  </region>
  <region id="13" left="414" top="738" width="228" height="26" color="#000000" bgColor="#ff8080" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>programmers time laps since1970:01:0:0:0:0:0:0 result is by default ... ms</p>
      </description>
      <input>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="1">time</e>
      </input>
      <result action="numeric">
        <e type="operand">13207707341.695</e>
        <e type="operand" style="unit">s</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="14" left="396" top="837" width="374" height="136" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
    <text lang="eng">
      <p>The Gregorian calendar is the calendar used in most of the world. It is named after PopeGregory XIII, who introduced it in October 1582. The calendar spaces leap years to makethe average year 365.2425 days long, approximating the 365.2422-day tropical yearthat is determined by the Earth's revolutionaround the Sun.</p>
    </text>
  </region>
</regions>