MaplePrimes - comments on Post, Reverse Osmosis and Maple…Syrup that is

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    <title>MaplePrimes - comments on Post, Reverse Osmosis and Maple…Syrup that is</title>
    <link>http://www.mapleprimes.com/posts/43725-Reverse-Osmosis-And-MapleSyrup-That-Is</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
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    <lastBuildDate>Tue, 16 Jun 2026 10:15:12 GMT</lastBuildDate>
    <pubDate>Tue, 16 Jun 2026 10:15:12 GMT</pubDate>
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    <itunes:summary />
    <description>The latest comments added to the Post, Reverse Osmosis and Maple…Syrup that is</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - comments on Post, Reverse Osmosis and Maple…Syrup that is</title>
      <link>http://www.mapleprimes.com/posts/43725-Reverse-Osmosis-And-MapleSyrup-That-Is</link>
    </image>
    <item>
      <title>The above worksheet</title>
      <link>http://www.mapleprimes.com/posts/43725-Reverse-Osmosis-And-MapleSyrup-That-Is?ref=Feed:MaplePrimes:Reverse Osmosis and Maple…Syrup that is:Comments#comment80691</link>
      <itunes:summary>Would it be possible to post (or re-post) the above worksheet in a Maple 9.5 compatible manner?  Right now that worksheet, when opened with Maple 9.5 shows only the sections and subsection headings and nothing else!  You are excluding 48% of the audience [according to the poll] of this forum by posting a worksheet that &lt;strong&gt;only&lt;/strong&gt; works in Maple 10.  That is works best in Maple 10, that's expected; that it is useless in previous versions is disappointing - what you've posted there looks fascinating!</itunes:summary>
      <description>The latest comments added to the Post, Reverse Osmosis and Maple…Syrup that is</description>
      <guid>80691</guid>
      <pubDate>Sat, 20 Aug 2005 00:32:13 Z</pubDate>
      <itunes:author>JacquesC</itunes:author>
      <author>JacquesC</author>
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    <item>
      <title>Solution on the way</title>
      <link>http://www.mapleprimes.com/posts/43725-Reverse-Osmosis-And-MapleSyrup-That-Is?ref=Feed:MaplePrimes:Reverse Osmosis and Maple…Syrup that is:Comments#comment86876</link>
      <itunes:summary>I am currently working on a script that will automatically create an HTML version of any .mw file that is uploaded to MaplePrimes.

This would allow the worksheets to be viewed in any web browser regardless of the version of Maple that the user has installed on their computer.

I will post in a comment below this worksheet converted to HTML.

____
William Spaetzel
Applications Developer, Maplesoft</itunes:summary>
      <description>The latest comments added to the Post, Reverse Osmosis and Maple…Syrup that is</description>
      <guid>86876</guid>
      <pubDate>Mon, 22 Aug 2005 17:45:52 Z</pubDate>
      <itunes:author>Will</itunes:author>
      <author>Will</author>
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    <item>
      <title>Creation of a Calibration Curve</title>
      <link>http://www.mapleprimes.com/posts/43725-Reverse-Osmosis-And-MapleSyrup-That-Is?ref=Feed:MaplePrimes:Reverse Osmosis and Maple…Syrup that is:Comments#comment90184</link>
      <itunes:summary>&lt;p&gt;Here is an HTML export of the attached worksheet&lt;/p&gt;

&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;Creation of a Calibration Curve&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;h1 &gt;Introduction&lt;/h1&gt;&lt;/p&gt;
&lt;p &gt;Since parameter determination is not always easy to obtain, many turn to relatively simple metrics, and establish a relationship between this metric and the desired parameter. It is then graphed to make certain measurements, that otherwise would have been quite complicated or costly, trivial. &lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;The following example takes in data from a text file that contains a refractive index reading and its corresponding concentration of a sugar solution in BRIX. &lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;Creating a calibration curve will facilitate the determination of the concentration of a particular sample of syrup, without actually measuring it. The proper calibration of such instruments is integral to the accurate determination of concentration. Maple syrup in particular must be at a very specific concentration when it is bottled to prevent it from crystallizing in your cupboard.&lt;/p&gt;
&lt;p &gt;&lt;h1 &gt;Initialization&lt;/h1&gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/db2a061572153a3af1c463cfc01dd94c.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/66da35f99fb71a014d05cb4f0b7d4111.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/f94c66bf3d104878c4716a8c69235956.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/5b189de7b1a2b275e4be1f37cd37169e.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;h1 &gt;Prepare Data for Regression Analysis&lt;/h1&gt;&lt;/p&gt;
&lt;p &gt;&lt;h2 &gt;Read Data from an External Source&lt;/h2&gt;&lt;/p&gt;
&lt;p &gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/5b189de7b1a2b275e4be1f37cd37169e.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/p&gt;
&lt;p &gt;Here you would have to locate the data file and enter the appropriate filepath.&lt;/p&gt;
&lt;p &gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/5b189de7b1a2b275e4be1f37cd37169e.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/1988b441acf37d773c5d11a867609596.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/32615f92f13dea9222e6e36f2bc821c1.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;center &gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/909d2fb8d468d265a703992f81e106db.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/center&gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/5b189de7b1a2b275e4be1f37cd37169e.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;h2 &gt;Find Number of Data Points Read In&lt;/h2&gt;&lt;/p&gt;
&lt;p &gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/12301acde6153d03f2c2ecaf217b7184.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/7035ddeea4c6128a0298b6073b5903ed.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;center &gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/3487eb3a418ce7ce37fd201c9de2f6ac.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/center&gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/5b189de7b1a2b275e4be1f37cd37169e.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;h2 &gt;Put Read Data into Two Separate Lists&lt;/h2&gt;&lt;/p&gt;
&lt;p &gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/5b189de7b1a2b275e4be1f37cd37169e.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/p&gt;
&lt;p &gt;The data is first made into a sequence of points, and then converted into a list.&lt;/p&gt;
&lt;p &gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/5b189de7b1a2b275e4be1f37cd37169e.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/8f4814724a03f942cef86836945013c0.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/9f0d0e64a80c54b9cb7d4bf56802901b.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;center &gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/d17e47e67118d6a91dd52236f0cbca59.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/center&gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/ade9bd4b46c5718a99771844f9df62db.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/8745f1fb839c9bddc6c11f88b5cfe9a5.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;center &gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/b2485ffb0ceb92e1d23b13c1d11cd7c5.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/center&gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;h1 &gt;Create Calibration Curve&lt;/h1&gt;&lt;/p&gt;
&lt;p &gt;&lt;h2 &gt;Perform Linear Regression to Determine the Line of Best Fit&lt;/h2&gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;The "LinearFit" command fits the data into a model specified by the user, with the parameters stated in square brackets. &lt;/p&gt;
&lt;p &gt;Eg. &lt;img src="http://maplenet.maplesoft.com/maplenet/primes/c73770d89d67bc5527bd4972eccebf4b.gif" alt='Maple Equation' align='absMiddle' /&gt; would be [&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/001aa0a03f86acabc812ce0e91edf520.gif" alt='Maple Equation' align='absMiddle' /&gt;] , and &lt;img src="http://maplenet.maplesoft.com/maplenet/primes/6edaa72ba639012912d09679ab700931.gif" alt='Maple Equation' align='absMiddle' /&gt; would be [&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/9ef5a1842a972c71fcf3583aabbae98e.gif" alt='Maple Equation' align='absMiddle' /&gt;]&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/2dd4b7ea8cf11bdf8f36c75014334695.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;center &gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/d8c37e239710203d9969df8045acf6e0.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/center&gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/5b189de7b1a2b275e4be1f37cd37169e.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;h2 &gt;Plot the Line of Best Fit&lt;/h2&gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/3928098803b1230a472cde0b852f1338.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;center &gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/c99c67b2a3337a9537ab45d1e26a5470.gif" alt='Maple Plot' /&gt;&lt;/center&gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;strong &gt;NOTE: &lt;/strong&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;This plot can actually be generated easily using the Interactive Plot Builder. Simply Right-Click on the equation of the line, and select PLOTS &gt; PLOT BUILDER. An interactive window will appear where you can make all your options for the generation of the calibration curve. &lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/5b189de7b1a2b275e4be1f37cd37169e.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/p&gt;
&lt;p &gt;&lt;h1 &gt;Concluding Remarks&lt;/h1&gt;&lt;/p&gt;
&lt;p &gt;This application simply shows how to fit a set of data to a linear model, and graph the results.&lt;/p&gt;
&lt;p &gt;There will be further additions to this worksheet in the weeks to follow.&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;In the meantime...Happy Calibrating!&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;i &gt;Legal Notice: The copyright for this application is owned by Maplesoft. The application is intended to demonstrate the use of Maple to solve a particular problem. It has been made available for product evaluation purposes only and may not be used in any other context without the express permission of Maplesoft.  &lt;/i&gt;&lt;br/&gt;&lt;/p&gt;
&lt;p &gt;&lt;center &gt;&lt;/center&gt;&lt;/p&gt;
&lt;p &gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/5b189de7b1a2b275e4be1f37cd37169e.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p &gt;&lt;strong &gt;&lt;font color="#ff0000" face="Monospaced"&gt;&lt;img src="http://maplenet.maplesoft.com/maplenet/primes/5b189de7b1a2b275e4be1f37cd37169e.gif" alt='Maple Equation' align='absMiddle' /&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;This post was generated using the MaplePrimes &lt;a href="http://www.mapleprimes.com/filemanager"&gt;File Manager&lt;br&gt;&lt;/a&gt; 
			&lt;a href="http://www.mapleprimes.com/files/1_CalibrationCurve.mw"&gt;Download the original worksheet&lt;/a&gt; 
			| &lt;a href="http://maplenet.maplesoft.com/maplenet/worksheet/mapleprimes/1_CalibrationCurve.mw"&gt;View worksheet on MapleNet&lt;/a&gt;&lt;/p&gt; 


This is the Data file used in the document
&lt;a href='http://www.mapleprimes.com/files/1_RIvsBRIX.txt'&gt;Download 1_RIvsBRIX.txt&lt;/a&gt;&lt;br/&gt;&lt;a href='/viewfile/301'&gt;View file details&lt;/a&gt;

</itunes:summary>
      <description>The latest comments added to the Post, Reverse Osmosis and Maple…Syrup that is</description>
      <guid>90184</guid>
      <pubDate>Mon, 22 Aug 2005 17:52:50 Z</pubDate>
      <itunes:author>Will</itunes:author>
      <author>Will</author>
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    <item>
      <title>Thanks for the script, and the comment</title>
      <link>http://www.mapleprimes.com/posts/43725-Reverse-Osmosis-And-MapleSyrup-That-Is?ref=Feed:MaplePrimes:Reverse Osmosis and Maple…Syrup that is:Comments#comment90185</link>
      <itunes:summary>Thanks Will.
I hope this helps the MaplePrimes members that are not currently using Maple 10. 

Thank you for bringing this to my attention JacquesC. It's much appreciated.
</itunes:summary>
      <description>The latest comments added to the Post, Reverse Osmosis and Maple…Syrup that is</description>
      <guid>90185</guid>
      <pubDate>Mon, 22 Aug 2005 18:24:30 Z</pubDate>
      <itunes:author>Nina</itunes:author>
      <author>Nina</author>
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