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    <title>MaplePrimes - Newest Questions and Posts</title>
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    <description>The latest questions and posts added to MaplePrimes</description>
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      <title>MaplePrimes - Newest Questions and Posts</title>
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    <item>
      <title>Simplification involving radicals in the denominator</title>
      <link>http://www.mapleprimes.com/questions/243769-Simplification-Involving-Radicals-In?ref=Feed:MaplePrimes:New%20Questions%20&amp;amp;%20Posts</link>
      <itunes:summary>&lt;p&gt;I have an expression Vector (result from a lengthy calculation) like the following:&lt;/p&gt;

&lt;p&gt;&lt;img 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"&gt;&lt;/p&gt;

&lt;p&gt;It is obvious by inspection that a minimized for of this expression looks like this:&lt;/p&gt;

&lt;p&gt;&lt;img src="data:image/png;base64,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"&gt;&lt;/p&gt;

&lt;p&gt;Proof:&lt;/p&gt;

&lt;p&gt;&lt;img src="data:image/png;base64,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"&gt;&lt;/p&gt;

&lt;p&gt;But for the heck of it I can&amp;#39;t get Maple to find that result by itself.&lt;/p&gt;

&lt;p&gt;My attempts are in this worksheet: &lt;a href="/view.aspx?sf=243769_question/Maple_example.mw"&gt;Maple_example.mw&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;TIA,&lt;/p&gt;

&lt;p&gt;Mac Dude.&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;I have an expression Vector (result from a lengthy calculation) like the following:&lt;/p&gt;

&lt;p&gt;&lt;img src="data:image/png;base64,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"&gt;&lt;/p&gt;

&lt;p&gt;It is obvious by inspection that a minimized for of this expression looks like this:&lt;/p&gt;

&lt;p&gt;&lt;img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAxAAAACyCAYAAADSxSmFAAAAAXNSR0IArs4c6QAAArlpVFh0WE1MOmNvbS5hZG9iZS54bXAAAAAAADx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iIHg6eG1wdGs9IlhNUCBDb3JlIDUuNC4wIj4KICAgPHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj4KICAgICAgPHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9IiIKICAgICAgICAgICAgeG1sbnM6ZXhpZj0iaHR0cDovL25zLmFkb2JlLmNvbS9leGlmLzEuMC8iCiAgICAgICAgICAgIHhtbG5zOnRpZmY9Imh0dHA6Ly9ucy5hZG9iZS5jb20vdGlmZi8xLjAvIj4KICAgICAgICAgPGV4aWY6UGl4ZWxZRGltZW5zaW9uPjE3ODwvZXhpZjpQaXhlbFlEaW1lbnNpb24+CiAgICAgICAgIDxleGlmOlBpeGVsWERpbWVuc2lvbj43ODQ8L2V4aWY6UGl4ZWxYRGltZW5zaW9uPgogICAgICAgICA8ZXhpZjpVc2VyQ29tbWVudD5TY3JlZW5zaG90PC9leGlmOlVzZXJDb21tZW50PgogICAgICAgICA8dGlmZjpQaG90b21ldHJpY0ludGVycHJldGF0aW9uPjI8L3RpZmY6UGhvdG9tZXRyaWNJbnRlcnByZXRhdGlvbj4KICAgICAgICAgPHRpZmY6Q29tcHJlc3Npb24+NTwvdGlmZjpDb21wcmVzc2lvbj4KICAgICAgICAgPHRpZmY6T3JpZW50YXRpb24+MTwvdGlmZjpPcmllbnRhdGlvbj4KICAgICAgPC9yZGY6RGVzY3JpcHRpb24+CiAgIDwvcmRmOlJERj4KPC94OnhtcG1ldGE+Ciq/yv8AADtmSURBVHgB7Z0J3NTE+cd/LwhS9Y+gKIIgh+CFFbFyKCKHKIiKtxVv8cJarUcpVARRawXrBbYF1CqKKCooonKWQwQUPAFRLgEBUdFyyCF3/s+8cc3uvkk2u8kmk93ffD77JnNk5pnvk3cmT+ZIiSEOAbjFb43FuuUrMPG+3ti1fStO69EHx/7+Yhx4RIMAcs+cxZhut+KjF5/Bla+ORsNOHTJfwBQkQAIkQAKeCHzw+JMY2/svOOvBR9D8T7e4XuMl7c//W4f5L72CcX3+it27dqLn8pXYp9qBjvl6yTNx8dMt22DVvA9x6wcf4aBGRyeCeSQBEiABEgiQQEkQBsTP69bjocNqlhGr0ZkX4PevDS8Tno+AbRs2YmiHs2Ds2YObP5yVjyKyzlPJ9PkrIz1dt2vHDuxVsaKntOX2Ko8TrrvGU1omyg8B6jY/XJmrfgR2/LQJjx51NOqd1AqXvPoiypUv7yik17SvXHI5Fox9vTSfplfdiHP+PcB3nokM3r7l9lIZOw18NBHEIwmQAAmQQMAEAjEglEzzXhyBDV9//at45crvVToSUP24Y38Ny/fJjs1bMFfkOOG6q1C+QoV8F5cx/x8XLsbAExtnTKcS7LV3JRm52eYpbYVK+6L3jz96SstE+SFA3eaHK3PVj8Dmb7/DV5Mm47eXX+pqPCjJvab99tO5WDphEmqe+Dsc3r6ta6W95umaCSNJgARIgAQCJRCYARGoVAWS2c6ff8aajz7xVJvdO3d6NnpKypXDYS1P8pQvE+WHAHWbH67MlQRIgARIgARIQH8CNCD01xElJAESIAESIAESIAESIAFtCJTTRhIKQgIkQAIkQAIkQAIkQAIkoD0BGhDaq4gCkgAJkAAJkAAJkAAJkIA+BPbSRxQ9JSlpDpwm68Cr7CPHE4Gbr9ZTTkpFAiRAAiRAAiRAAiRAAukELrrVDBm1FLhQvq4w8sn0FNn7uQYiAzNlQCx7FahXJ0NCRpMACZAACZAACZAACZCApgR69gOWfhOMAcEpTJoqmWKRAAmQAAmQAAmQAAmQgI4EaEDoqBXKRAIkQAJFRMAwgAWLANnNmo4ESIAESCAGBGhAxEBJFJEESIAECpXAuMlA3QuB0ROB4y4DJk4r1JqyXiRAAiRQOAS4iLpwdMmakAAJkECsCKxYCXTqDXz6FHC8bFZxdjs5Xg989TJQv26sqkJhSYAESKCoCHAEoqjUzcqSAAmQgD4Eeg8UWfY3jQclVeNGQI3qwP3/0kdGSkICJEACJFCWAA2IskwYQgIkQAIkEAKBFz8BLj4itaBmNYHnZwDbt6eG00cCJEACJKAPARoQ+uiCkpAACZBA0RDYskWqKr9DD0ytcgMxILBHts9emRpOHwmQAAmQgD4EaEDoowtKQgIkQAJFQ+DzhWZVD6qaWuV6h5r+5V+nhtNHAiRAAiSgDwEaEProgpKQAAmQQNEQWPWtWdWqlVOrXFJi+nfvTg2njwRIgARIQB8CNCD00QUlIQESIIGiIXCoLJZW7qfN5jHxd/NW8+y4YxIhPJIACZAACehGgAaEbhqhPCRAAiRQBAQaHi6VlNGG79elVvabH8RfHqhTOzWcPhIgARIgAX0I0IDQRxeUhARIgASKhkC1A4CWsgPTuHmpVX5/MdC8fmoYfSRAAiRAAnoRoAGhlz4oDQmQAAkUDYHH7wAWrgFWy0+5xV8BH64CXutv+vmXBEiABEhATwL8ErWeeqFUJEACJFDwBJo2AUbeLd+C6AGcfxIw7TNg4gNA7V92Yip4AKwgCZAACcSUAA2ImCqOYpMACZBAIRC48CwxHs4EVq4G/vKHQqgR60ACJEAChU+AU5gKX8esIQmQAAloTaCc9ER1D9NaRApHAiRAAiSQRIAGRBIMnpIACZAACZAACZAACZAACbgToAHhzoexJEACJEACJEACJEACJEACSQRoQCTB4CkJkAAJkAAJkAAJkAAJkIA7ARoQ7nwYSwIkQAIkQAIkQAIkQAIkkESABkQSDJ6SAAmQAAmQAAmQAAmQAAm4E6AB4c6HsSRAAiRAAiRAAiRAAiRAAkkEaEAkweApCZAACZAACZAACZAACZCAOwEaEO58GEsCJEACJEACJEACJEACJJBEgAZEEgyekgAJkAAJkAAJkAAJkAAJuBOgAeHOh7EkQAIkQAIkQAIkQAIkQAJJBGhAJMHgKQmQAAmQAAmQAAmQAAmQgDsBGhDufBhLAiRAAiRAAiRAAiRAAiSQRGCvpHOekgAJhEjg+x+Azz4H5i8Czj0DaFgfsAsLUSQWRQIkQAKxJmDXhtqFxbqSFJ4ENCDAEQgNlEARipPApk3AyIlA96HAQdVMBnZhYdFZsRJQPzoSIAESiCsBuzbULiys+rFdDYs0ywmbAA2IsImzPBL4hUCD+kAFGQM8rCZQpbIZaBcWFrDx0wD1oyMBEiCBuBKwa0PtwsKqH9vVsEiznLAJ0IAImzjLI4EkAoNmA9eekhQgp3ZhqSnoIwESIAEScCJg14bahTldz3ASIIHMBGhAZGbEFCSQFwJfr5JsNwKd21vZ24VZsTwjARIgARJwI2DXhtqFueXBOBIggcwEaEBkZsQUJJAzgVlzgKdeBAa/ABx/KfDWBCurtybJ+d5Ak9+6h1mxzme9Hgb2PSf11+ZaYMcO52v8xvy4DujZDyhpA9z3uJnbl0vEfyZw0pVlc49CxrJSMIQESCDuBNiuWhpku2qx4Fm4BLgLU7i8WVoRERj1DvDSOGCEPFxXqACM+wAYNhY4p4MJYcQ04KLj5YG7xIJiF2bF2p/t2QNMmgs8dD5QqaKZZsAY4N9/BSr+4re/0l9otQOAfj2B/fYBeo8ArhcDaeDzwJR7xC6S+ia7qGRMloHnJEAC8SfAdtXSIdtViwXPwidQYogLv9j4lFjSHFj2KlCvTnxkpqT5I1DSVvLeaZ+/McMKnzAV6Ph3YMubwD7ygL1Atmo9tisw6wl5O9/UHBnYu40YGN2BLvLgr5waLUgPM2Pc//5vPbB1K1D7UDPdY08BbU9KHdlIz8G2HmKIlLr0cUkxBgypj5Nb+yNQ/SygXSNg7CCpg4yqpLtcZEzPg34SIIHiJsB2NVX/bFdTedCXmYCaNbD0G9kB8snMaTOl4AhEJkKMJ4EkAtuTpiAlBaec7t4txsN9QB+ZUrTlZ1kUPQx4YyawRI5qNxDlpoof8sDesV2pt/SPXZgV63x2YFVA/ZQbJCMAJ5/gbjyodHb1GCxTrZTrdoV59Pr3YLUFbRWgcT1740Hlk4uMXstnOhIggcInwHa1rI7ZrpZlwpDwCNCACI81SyoAAl6mBE1RIxFiOKyX7zyo4fZ2JwN33ZRa+dGTgVo1gKr7W+F2YVZs5rNnZRrRUQ2AFidmTmtXj4q/tAZ2cW45bt4ssTIqM24e8JhbQonLRsYMWTGaBEigiAiwXXVWNttVZzaMyR+B9MkK+SuJOZNAkRBYrnZXEndTF3mbf5U1GqDeoCXcYNm+9bpWCZ95tAtLpFATDZd/nfCVPb70OlDzYJm61NKMW7i0bJp8hagRlgEyarFwtdgRYkg4TYqMUsZ81Z35kgAJhEMgH+3q6jXuskfZZrFdddcNY6MnQAMieh1QggIj0KG1WaGHnwESRsOn82WB8bOmf813Ev8T0KaFPHj/x0xrF5bAMv0DoJwsvL69fyIk9fiKrLOYt9icJjTnExkJkNENtZg5n26DyK/m374zCWgoU5fOPV1KkylZM+YAQ2XN0JYtqaVHIWOqBPSRAAnEmUCQ7er8L2W6pUwxrX2BtJudpTmW0eJ0F0WbxXY1XQv060zgl0kLOotI2UggXgTq1JaPw7UBnpsGvCBrHE5vKAul5QH7jhvMeqxYaR77PQe8PsA5zIwBThVD41hZ43DJaYkQ6zjpXeDSh8QvIxT937DCh9xqnefjrO/jYvxMBB69GrjzRrOEWjVluta9wKIhsp3svlapUcloScAzEiCBuBMIsl1dJqO528YA6sVNrYulrZaXHn+6ziIUVZvFdtXSAc/0J8BdmDLoiLswZQDEaEcC334P7Npl7Y6UnFB92Eh1iMnOLkzFqx2W9m0PrBuXumYi+dogztVIh3LKYMnkVL3UCET1g6yU27ebU5j2288K4xkJkAAJBEkgqHY1IZP6Xs7ZzYE/d0uEBHtkuxosT+bmjwB3YfLHj1eTQCgEalR3LibdeFAp7cJU+PhpQP0a+TUeVDleDAeVTrm9ZOwy2XhQYWr7VrstXFUcHQmQAAkEQSCodlXJol6EvCsvekZfFoRk9nmwXbXnwtD4E+AaiPjrkDUocAIjZZ1B1zYFXklWjwRIgARCJnC/fJdn8t2yC3XlkAtmcSRQAAS4BqIAlMgqFC4BtaPRyx8Dn+dpeL1wybFmJEACJOBMYPgo4LijZN3WKc5pGEMCJOBMgAaEMxvGkEDkBD76TESQ/9JGR0YuCgUgARIggYIg8PpYc9ThLLV7HB0JkEBOBDiFKSdsvIgEwiEwXHYKubxJOGWxFBIgARIodALDXgMOqQYo42HZCnMr6kKvM+tHAvkgwBGIfFBlniTgk8COHcCrYjyorVKb1gXU1q91D/OZKS8nARIggSIm0Pcx4D7ZshUlFoS1b1vnPCMBEvBOgNu4ZmDFbVwzAGI0CZAACZAACZAACZCA9gSC3MaVU5i0VzcFJAESIAESIAESIAESIAF9CNCA0EcXlIQESIAESIAESIAESIAEtCdAA0J7FVFAEiABEiABEiABEiABEtCHABdR50EXat0EHQmQAAkUMwFjtnPtS9pK3E7n+JSYCoAxNSUkxcP2NgUHPSRAAkVIwK29zRcOGhB5IBuFIvNQDWZJAiRAAnkhsH1CcNmyvQ2OJXMiARIgAa8EaEB4JcV0JEACJEACgRCoWDGQbJgJCZAACZBARAS4BiIi8CyWBEiABEiABEiABEiABOJIgAZEHLVGmUmABEiABEiABEiABEggIgKcwhQReLdiJ78HdH4Y2LrWLRXjSIAEAidQWRbsTgo8V2ZIAgVFgH1UQamTlYkTAY36KBoQGt4446cDt7YE+vXUUDiKRAIkQAIkUNQE2EcVtfpZeRIoJcApTBreCCM+Ak4XAyIqt2cPsOGnqEpnudkS0FFflMlZi2TjzEbHGOqrrFbYR5VlwhBnAvwfcmaTHKMjp2T50s9pQKQT0cC/+nugZdNoBBkyDCjfHqh6BnBaV+D7H6KRg6V6I6CjviiTs+7IxpmNjjHUl71W2EfZc2FoWQL8HyrLxC5ER052ciaH0YBIpqHB+ZxPgAY1gUqVwhdm61bgq1XAxjeBOYOAKcuAfw4NXw6W6I2AjvoqJpnefR/o2sObrlSqOLPpdCMw7wvvddUxJfUVjFbYRwXDsRhyiXObF6Z+dOTkqf4GnSsBNDOMZStckwQa+beBhtHjoUCz9JzZF4sNY9s2K3n3Bw3jgHMsP8/0IqCjvopFpvFTDAPtDWPNd97viTizWbBI6nuqYXw813t9dUpJfQWnDfZRwbEs9Jzi3OaFqZswOannywv/GEztOALhycwKL9HQd6Nb/3B0Q2Dvva261qkBnFHf8vNMLwI66qsYZFq/EejYB3jjLqBGde/3RJzZHHME0P/3wO+kzps3e6+zDimpr2C1wD4qWJ6FnFuc27ww9aIjJy/1pwHhhVJIabZtA5Z+G936h/RqTpXpVL26pYfSrysBHfVViDL1lC2Wy+0PnC1rhfy4uLG5U6YxYZcYEjK9MU6O+gpOW+yjgmNZjDnFrc2LSkc6crJjQQPCjkpEYWqO7pmNoln/kF7lhUuBY+oAxx6VHkO/jgR01FchyqQeoJ6aBjzUCdjLxybYcWSj6vuHVsDfxoodIYZEHBz1Fay+2EfF4a7XU8Y4tnlRkNSRkxMHGhBOZCIIHzMVOL+1/4LVzkkTJK9HBgNLZCG0cnZhZkzZvzt2AA/KtffcVjYu3yHLVpiLNXfuDKYku3rbhQVTWjS5RKkvpxoXqkxv/1dqLA/PXc51qnnm8DizadtM6iebLcz8MHM9dUhBfQWrL/ZRAPuo7P+z49zmZV/b3K/QkZNbbWhAuNEJOW6wTBlqf4r/QjdtAkZOBLoPBQ6qZuZnF+ZUUt8n5CN2Mte5YkWnFMGHfydf3a5zAXC4zLNufK2U3Q4YN9l/OXb1tgvzX5K3HFasBNQvSOdXX5TJuzZmz5W00mrWPtT7Nekp46yvxseYtZn9aXqt9PRTX8Hqq1D6qFzaPPZRuf+Px7nNc6p1LveQU16JcL+cEvmEdZSukE4HAmpKwB55615Ppg35dQ3qAxVkusFhsh1slcpmbnZhduX0kvndLZuYMeof5JU35W3jHLuUwYZd0wtoURt450EZOekqeQuPTr2Bb2RNiB9nV2+7MD9lZHPt+GmA+gXlgtAXZfKujSkLJK2PLZbjrq/a0qYoN+dL86j7X+rL1FAQ+iqkPiqXNo99VG7/7XFv85xqncs95JSXCg+Ck1v++YjzMYs3H+IUb55qb+0LZaeToNyg2cC9HVNzswtLTvEPWRz591ESon4JVwHYOS3hyc9xo4yYVN5HjJUBZv6d2gNr1wEPjwZGjwdukREJP86u3nZhfsqI4tqo9OVW10KX6RP5yGOtKm4EnOMKgU3p92nKA3N9GvbOlIKNob6EZ0D6Yh/FPirb/85CaPOyrXMu6XXk5KUeNCC8UAohzZgpQIcWwRT0tXwMDhuBzvIgnnB2YYm4xLH7zTLtSX5hO/URlX/1SS31yvNNA2KzxPlxdvW2C/NTRlTXRqUvt/oWvEzbZACiqhsB57iCYbO37Ba3xbmeWsVQX7I3dzD6Yh+Vemezj0rlYecrmDbPrnIBhunIyUv1aEB4oRRCmuEyYjC9i/eCZsm0os8Xy7SnPcDgscAD8pb+nA7m9W9NkqN0Gk1+a+VnF2bFRntmt5f+IQebMrVqmlm2MFj8KCMijzwlW1jKiEhfWUB77x3Al0tkp6rbZOqVrDN5f1hmOf2keEzKXrNW7EJ5cFv8LXBeS+COG/zkmPu1UbNwklwNAT/xXmpsU9HNxCEBrueRqXVenE76UvIGzkYezGPhqC9TTQHoi31U6h3PPiqVh05tXlH3UalqyauPBkRe8XrLXH2YabX8vK5/GPUO8NI4YMTjstZBphiN+wAYJkZEwoAYMQ246HigpMQq3y7MitXvbOpMkUke/lqc6C5bWCyqHSALy3sC+8lUq94jgOsvBQY+D0y5R2w10UE+nRoxuUsMlD3TTZ22vkY+6JVkHOazbLu8o2RhJ48KU4b0pLmyvaqMXFX6ZfH/gDHAv/8aoPHgVHhauG760olNGiotvNRXZjWwjyrLiH2UxUS3/yH2UZZu8nkWKwPiq+Xm7idh7g6UT/iJvP87Q9Y/HJXwuR/V9qwXyS5JW940jYcFi4Ax8uA0S8KUU9uAzVwqBkZ30+8UZsX6OytpK9fv9JiHPGgbIn8mt3s3cIW8cZ/9gGx4U845dRQsbrxMDIjhwFW9gLGyZiT5y93pktqykQdd5W6W+qU4Fzar1khK0ata0H7pecBtF+duQAQlk5I9GxYpdU3zBCGT+trwKBmBSOyOpN6GvSiL8NUXlAN1HlpM3fSVFzaVAqWav8yoL5OtT30VXB+VQzucfJOyj0qmAejW5iWkK8o+KlH5EI4emtcQpMhQxOyP5U303ZJog/zkQaufTPXpcUuGi2IUPU6mXXhZ/6AarY73AX3OEQPiZ2CQvJV+Y6Z860GOamch5Urfikjj2LGd6XcKs2L9nW2f4O96u6t7PwoMuRJodoJdrBkWFYuDZVQEVWSr2XruxoOS0o7N4BdN+btdYR69/G3ZTD7oV1e+PdAfaCjlXniWl6vs0wQlk8o9Gxb20pihQch0YFVA/ZQb9Dxwstw7yVP4zJgA/sqD2Db5P3RzuukrcDbbpb050I2ARnHUlzRE/vVVaH1ULu1w8l3NPiqZhuzcyD4qFYiNL/B22KaMsINc3u+GLYp9eRt+Ap4ZKW/V5W30SzKFBDKFpKc8MK/90T59HEOnLPL2/YcpM6R2Yjisl12L1NSddicDM16wjAdV99GTZZeYGkDV/S0SdmFWrL8zNRqUzS9Tac+OAPbfF7jmEveUUbFQQ/lqxGXcPHf5VKwtFzHZK6qfDTenHNVUtAkDJLY8cOKd/r4CbFduqTxZyqRkzYaFU91UeJAyqfvnqAaZp765yeMWd0J1mW6oXmS4OF31FQQb9WVniAHVWNqYODjqKxh9FVwflUM7nLjf2UclSFhHXdu8YuyjLK3k/0x7A2K7vD359/3yRlEs3C7ny4Pz7QLFAEoXBeefT95LUB3y0o3e1j8sX2WKc1MXoNtV1htW9TY+4QbLYuzrWiV85tEuLJHCEJbLv074oj2+9pa5UDh5dOlnMZhKG4E00aJioUZ9BsjowcLVYkeIIaH45dONfNvMveYhsuZFTUsTA2bWR/ks0XveYbPIJNlLrwM1DwbatjRTLpSpfEG7do0kR/UQ7eB01VdQbEqnKkjdmx3tAECzYOrLVIgffUXdR61WUzg1cVH3UV5YhN0u69rmqVsmbBaZbtOg2uFM5YQVr70BUf0gc65/AsjRDc0zNZWjENzMD72vf+jQ2qzxw8/IS8BfjIZP58ti3mdN/5rvJF5GbNq0kIfc/5hp7cIS3KZ/IGsMZOem22VqTNTumZdkatrL8mbzSDEOJ5jff1BvelpfLy/e5c17uguThRoF+996+cjdJHMK0bmnizQyTWzGHGDoqzKdbEu6dMH5L35SVCojTsqdf6b8ERZHHl7qjeRPlCzcKqzWh8xbbE5jUvvVq6+Yq0XuQbvmjSVH0f2qb+xz1k1fSsog2cz9wqx38yb29dctlPryr6+o+qj5X8o0UZmuW/sC+b/ubLWDUd1jUfZRmVhE2S7r1uZFycLt3gyyHXYrJ8w4GcjLzX34KfDg08Cbn8vXguUhSr0hVe62vsCClcBkeahNOLdtNlWasf8Fnhsj87zFKFBvdDu1cZ7//qY8XB5xGNCqeSJ36zhD3r63+rMsKr7H3JFoxGhgvjxUuLlD5Y3lH65xS5HfuPHTva1/UFLUqQ1c20ZYTQNeaAecLsZUF3mYTWznqb4crVy/54DXB5jndmFmDHCqGBrHVgUuOS0REs3x6eGyIHegWXbnPqkyXHoS8JvfpIYpX5gs+j4uBtlE4NGrgTtvNGWpVVOmkN0LLBoC7CtTrvLhSg0TMU4uk5GH688DPl0APN4VUEZ1VC4qFm71nfSuLC5/SFJI29H/DSvlkFut86DOzm4vOUlZL4vB8pc/pOaqo76CZjN1jtS5ksx5bppad1191Jd/fUXVRy37Wgb75LlAvQSrdbH0e/Kc8afrornTou6jMrGIql3Wsc2LioXbnRl0O+xWVqhxhg/35RJ53G9mGINfsDKZNkvCWlv+kW8bxgW3GMaOHWZY55sN4+LbrPhBzxtG88sNY/duM+zMGwzjxrut+OSzbdsMo8a5hvHV8uRQ63zeF4ZRXeJnzDbDlnxlGHM+cf99vtC63u5M1W/ZCruYYMJqnZd9/mu+M4yVq+3LX7GybLhdmEq1ZYvo6iTDWLeh7DVxCQmDxc6dhvHd2lQi6l7ctCk1zIvv3fcNQ/28OFWG0s2uXYaxaKn1P+Ll2mzSZCNTkCzcZMxGJrd88hGn2qdyZ5XNWUd9lZUy9xCle7QxjHsezj2PKK6kvvxRj7KPSkje+hrD+MeghM//Mcz2Jag+KlFrOxZBtsvZsNGxzQuSRYK53TEbTnbXRxXW4yHDuPCPwZQub/z9ObQ3jJuSHvjX/mgY3R808xw/RTociVcPqsqph3WcbBiz5pj+F0ea8Rt+Mv3qb/9/GcYXiy1/8pkyPF5+Izkk/+dBGRDqpk5/UFd+tMt/HZxKGPWOYdS/wCm2uMLJorj07ae2pf+3pxjGG+P85BK/a1XbrNrzXAznKGtLfXmjr2MfpSRXcuFMw1i/0Vs9CjkVWRSydsOpW5AGRM5TmBLDJG1rAR8uT/hkmodMa+opQ/uZttmUJgFXPAHcLXMc9/8/6/r0aQGJmP7/kik7spBa7YPv1d0v+U+U+dBurpFMCxryoFsK/3G9/yFz5WcBzYXVSJnTnnDqOwZ/OjXhC/84Uub0d20Tfrk6lkgWOmpFT5nUDmfj75etkv8u0ytkLYDdl9T1lDx3qb6QqaA9XgM+lqmR++2Xez5RXEl9Zaauax+lJFf9+OS7ZffsypnrUegpyKLQNRyv+vk2IBrUAJ6W9RDKqcWv7U8GDqgiX4WVecnpW47edVNpstI/H8+Vww5zvYMVan/2n5dNI+OGy+3jnUL73C7fTHCKDDG8l8zFPuVEeeD4q3yzYZksxK1vFj5VFlBf0jFEQZKKUgbcyx8Dn3dLCizSU7IoUsX7qHaHtsA0WQvQ6zHg2f4+MorJpX9+BJgrL3GOOyYmAqeJSX2lAUnz6thHKRGHj5J77ihZb3ZKmsBF6CWLIlS65lX2bUAcepDUULbaVA/GK9cAt1xr1jh5m81GR1oU1MiE2lXnXVnwrNxvjzaPib9q29bkr/v+81nTILmui5lCfTJdfZAjTm/BKsmDhurAThDD4ap7gfeHmXX5aLkszm2aqHm4x48+k/JE+8m6CVcCfUojC310ESdJWp8ku4TJrxjc2KfiX0vqy1mHOvZRr481Rx3Oko1Cit2RRbHfAXrWv5xfsUo/WCYP/c+NTN3NKNM2m+1/eaMwepwlgXqQU7ubJNy9j8pbryVmI6J2alLblV7dx9l4ULs13ChDnbp81yBRj8Tx6Z7AB1Kfye9Z3zZQDXcUbrjsbnF5kyhK1q9MstBPJ5SIBEggfAK69FHDZLrcIdUAZTwsW2FuoR0+DT1KJAs99EApyhLwPQJRWebDtpNRhAfuAtTXCBMu0zabjRuZW5JePQB47HXZTvRQ2Xr1VOsLxMp4uF+2bVPumSnmUf199DrrPP3sPRnVeFr2f28qed9QJz02ev8Jx8kXchvKR+Ckzv+8RdZ0iD9st0Omjb0qxoPalrRpXUBt81r3sLCl0KM8stBDD5SCBEhADwI69FF9ZVrgfarvT3qeWPu2HnzCloIswibO8rIhUKLWfWdzQXradRuA/9s39WNvyWm+/R7YtUs+BiMGgp1TXxr+cZ1zvN01bmHJawzc0nmNK5HvTSyTxqxeQAbJu+/Lh97ukGlZ8v2JV7sDp7XyKgnTkQAJkAAJkEB+CbCPyi9f5k4CURLo2Q9Y+k3qhj65yuN7CpNaMF2hgnPxaocSJ+NBXaU+EuYW75yzfUxigbJ9bPShah7uaTJCsu6H+HyMKXpqlIAESIAESCAMAuyjwqDMMkgg/gR8GxDxRxB+DQb2kClbMm0oqvUP4deYJZIACZAACcSFAPuouGiKcpJAdARoQETA/pgjgPmvRFAwiyQBEiABEiCBDATYR2UAxGgSIAHQgOBNQAIkQAIkQAIkQAIkQAIk4JkADQjPqJiQBEiABEiABEiABEiABEiABgTvARIgARIgARIgARIgARIgAc8EaEB4RsWEJEACJEACJEACJEACJEACNCB4D5AACZAACZAACZAACZAACXgmQAPCMyomJAESIAESIAESIAESIAESoAHBe4AESIAESIAESIAESIAESMAzARoQnlExIQmQAAmQAAmQAAmQAAmQAA0I3gMkQAIkQAIkQAIkQAIkQAKeCezlOSUTkgAJ5ETg+x+Azz6Xr48vAs49A2hYH7ALyylzXkQCJEACJPArAbu21S7s1wt4QgIkkBMBjkDkhI0XkYB3Aps2ASMnAt2HAgdVM6+zC/OeI1OSAAmQAAnYEbBrW+3C7K7NR9iKlYD60ZFAoRGgAVFoGmV9tCPQoD5QQcb6DqsJVKlsimcXpp3gFIgESIAEYkbArm21CwurWuOnAepHRwKFRoAGRKFplPXRksCg2cC1p6SKZheWmoI+EiABEiCBbAnYta12Ydnmy/QkQAIWARoQFguekUBeCHy9SrLdCHRub2VvF2bF8owESIAESCAXAnZtq11YLnnzGhIgAYsAF1FbLHhGAjkTmDUH+HwxsGcPMHgs8MC1wDkdzOzemiTHvYEmv7WytwuzYt3PHnsKWLNWbJItwOJvgfNaAnfc4H5NELFeyv1xHfCIyNd/PND3XODeO4AvlwDH3Aa0kPUf7w8LQhLmQQIkUMwE2N6a2md7W8z/BdHXnQZE9DqgBDEnMOod4KVxwIjHZa1DBWDcB8AwMSISBsSIacBFxwMlJVZF7cKsWOcz9SbtLnkI3zPdzK/1NcDvkgwT5yv9xXgtt9oBQL+ewH77AL1HANdfCgx8Hphyj9hQwoaOBEiABPwQYHtr0WN7a7HgWfgEaECEz5wlFhCBCVPFOHgC2PKmaTwskK1ax8wFZkmYcjt2ADOXioHR3fQ7hVmx7mer1ki85PmKlHfpecBtF7sbECVtJf1O9zx/jZUHfEPqY+eyLffGy8SAGA5c1QsYO0iMBxmBoSMBEiABPwRi2d7KqLRyN8vIbIpje5uCg574EaABET+dUWJNCOzeDXS8D+hzjhgQPwODZGTgjZnAEjmqXT+Umyp+SAfSsV2pt/SPXZgV637WshlwbF2gS3/5nkQ94MKz3NNvn+Ae7zU223IPVtvVVgEai4w0HrxSZjoSIAEnAnFtbwe/aNao2xVONSsbzva2LBOG6EeAi6j10wkligmBKTNEUDEc1st3HtSweruTgRkvWMaDqsboyUCtGkDV/a1K2YVZse5nahrUhAGSpjxw4p3Arl3u6StWBLL5OeWWbbmbN0tOMvIxbp5TjgwnARIgAe8EYtveymvaiupn0xY71Z7trRMZhutEgAaETtqgLLEisHyVKe5NXYBuV1mLpNWbsoQbLNu3Xtcq4TOPdmGJFIYBLP864Us9jnzb9Nc8RNZbqClR8pA+66PUNPnw5VKuGo0ZIG/cFq4WO0IMCVUvOhIgARLIlUA+2tvVakqog8ul3XPIKqvgXMple5sVYiYOiAANiIBAMpviI9ChtVnnh58BEkbDp/Nl0fCzpn/NdxL/E9CmhTxM/8dMaxeWIDddFl+Xk52bbpfpSXbu4iclOxntUO78M+WPjEIceXipN69/vJa7Qer6v/XAO5PM6VXnni5iyfStGbJD1dBXZZrXlryKycxJgAQKmECQ7e38L2VqpUw9rX0BcGBnq11Nxue13Uu+Johzr+WyvQ2CNvPwQ4AGhB96vLaoCdSpLR+HawO8MB3Yqx1wxvXAZ1+YW6qWl4f7FStNPP2eA26QUQrl7MLMGOBUMTSOrQpccloixDqWPnzLA/hlMvIwejzwoBgTj3cFqh9kpcnHWTbl9pVdqKqdDSxaLlvLdgQUn1o1ZWrXvUDLE4F9982HhMyTBEigGAgE2d4uk1HebWOA1W8A69YBz8kLjmSXTbuXfJ3f82zKZXvrlzav90ugxBDnN5NCvr6kObBMGpd6dQq5lqybHwLffm+uRah9aNlc1PanquNLdnZhKn7rVnnIbi8d2rjUNRMqbvt2id8GVN4P+GqFrLOQxcnlyqmY/LpsylXrMdQIRLJRo65XU5j2E7npSIAESMAvgaDa24Qcba4FzpZ+/s/dEiHBtrdqZFk59YIok2N7m4kQ4/0S6NkPWPoNMFJeQvp1NCAyEKQBkQEQowMj8Lp8O6K7THX6alRgWTIjEiABEiABBwLqpUcFmcK0foRsGlfZIRGDSaCACARpQITwDrOAyLMqJJBHAiNl7UDXNnksgFmTAAmQAAn8SuB++V7P5LtpPPwKhCckkAUB2VyMjgRIIGoCaiLhyx8DnycNo0ctE8snARIggUIlMFxGeo87StZonVKoNWS9SCC/BGhA5JcvcycBTwQ++kySyX9joyM9JWciEiABEiCBHAmo6aJqytJZaqc4OhIggZwIcApTTth4EQkES2C47AhyeZNg82RuJBAnAmqHssQuZXGSm7LGi8Cw14BDqpnGw7IV5rbT8aoBpSUBPQhwBEIPPVCKIiWwYwfwqhgPAyYCTeuaD1B1DytSGKx2URMYP82svvooIx0J5INA38eA+9SWrSVW7mvfts55RgIk4J0ADQjvrJiSBAInULEicMVF5i/wzJkhCZAACZDArwT63gmoHx0JkIB/ApzC5J8hcyABEiABEiABEiABEiCBoiFAA6JoVM2KkgAJkAAJkAAJkAAJkIB/AjQg/DNkDiRAAiRAAiRAAiRAAiRQNAS4BiIPqlZfr6YjARIggWImYMx2rn1JW4nbmRa/x/Tf/FRaeAXAmJoWluRle5sEg6ckQAJFScCtvc0XEBoQeSAbhSLzUA1mSQIkQAJ5IbB9QtlsB79ohnW7omycWwjbWzc6jCMBEiCB/BCgAZEfrsyVBEiABEjAgYDafSzdVfylN7KLS09LPwmQAAmQQLQEuAYiWv4snQRIgARIgARIgARIgARiRYAGRKzURWFJgARIgARIgARIgARIIFoCnMIULX/b0ie/B3R+GNi61jaagSRAAvkiUFkW7E7KV+bMlwQKgwD7qMLQI2sRQwIa9VE0IDS8f8ZPB25tCfTrqaFwFIkESIAE8kDgmCPykCmzzAsB9lF5wcpMSSBWBDiFSUN1jfgIOF0MiKjcHtlOccNPUZXOcrMloKO+KJOzFsnGns2pLQD1081RX2U1wj6qLBOGOBPg/5Azm+QYHTkly5d+TgMinYgG/tXfAy2bRiPIkGFA+fZA1TOA07oC3/8QjRws1RsBHfVFmZx1RzbObHSMob7stcI+yp4LQ8sS4P9QWSZ2ITpyspMzOYwGRDINDc7nfAI0qAlUqhS+MFu3Al+tAja+CcwZBExZBvxzaPhysERvBHTUVzHJ9O77QNce3nSlUsWZTacbgXlfeK+rjimpr2C0wj4qGI7FkEuc27ww9aMjJ0/1N+hcCaCZYSxb4Zok0Mi/DTSMHg8FmqXnzL5YbBjbtlnJuz9oGAecY/l5phcBHfVVLDKNn2IYaG8Ya77zfk/Emc2CRVLfUw3j47ne66tTSuorOG2wjwqOZaHnFOc2L0zdhMlJPV9e+MdgascRCE9mVniJhr4b3fqHoxsCe+9t1bVODeCM+pafZ3oR0FFfxSDT+o1Axz7AG3cBNap7vyfizEYtcO7/e+B3UufNm73XWYeU1FewWmAfFSzPQs4tzm1emHrRkZOX+tOA8EIppDTbtgFLv41u/UN6NafKdKpe3dJD6deVgI76KkSZesoWy+X2B86WtUJ+XNzY3CnTmLBLDAmZ3hgnR30Fpy32UcGxLMac4tbmRaUjHTnZsaABYUclojA1R/fMRtGsf0iv8sKlwDF1gGOPSo+hX0cCOuqrEGVSD1BPTQMe6gTs5WMT7DiyUfX9Qyvgb2PFjhBDIg6O+gpWX+yj4nDX6yljHNu8KEjqyMmJAw0IJzIRhI+ZCpzf2n/BauekCZLXI4OBJbIQWjm7MDOm7N8dO4AH5dp7bisbl++QZSvMxZo7dwZTkl297cKCKS2aXKLUl1ONC1Wmt/8rNZaH5y7nOtU8c3ic2bRtJvWTzRZmfpi5njqkoL6C1Rf7KIB9VPb/2XFu87Kvbe5X6MjJrTY0INzohBw3WKYMtT/Ff6GbNgEjJwLdhwIHVTPzswtzKqnvE/IRO5nrXLGiU4rgw7+Tr27XuQA4XOZZN75Wym4HjJvsvxy7etuF+S/JWw4rVgLqF6Tzqy/K5F0bs+dKWmk1ax/q/Zr0lHHWV+NjzNrM/jS9Vnr6qa9g9VUofVQubR77qNz/x+Pc5jnVOpd7yCmvRLhfTol8wjpKV0inAwE1JWCPvHWvJ9OG/LoG9YEKMt3gMNkOtkplMze7MLtyesn87pZNzBj1D/LKm/K2cY5dymDDrukFtKgNvPOgjJx0lbyFR6fewDeyJsSPs6u3XZifMrK5dvw0QP2CckHoizJ518aUBZLWxxbLcddXbWlTlJvzpXnU/S/1ZWooCH0VUh+VS5vHPiq3//a4t3lOtc7lHnLKS4UHwckt/3zE+ZjFmw9xijdPtbf2hbLTSVBu0Gzg3o6pudmFJaf4hyyO/PsoCVG/hKsA7JyW8OTnuFFGTCrvI8bKADP/Tu2BteuAh0cDo8cDt8iIhB9nV2+7MD9lRHFtVPpyq2uhy/SJfOSxVhU3As5xhcCm9Ps05YG5Pg17Z0rBxlBfwjMgfbGPYh+V7X9nIbR52dY5l/Q6cvJSDxoQXiiFkGbMFKBDi2AK+lo+BoeNQGd5EE84u7BEXOLY/WaZ9iS/sJ36iMq/+qSWeuX5pgGxWeL8OLt624X5KSOqa6PSl1t9C16mbTIAUdWNgHNcwbDZW3aL2+JcT61iqC/ZmzsYfbGPSr2z2Uel8rDzFUybZ1e5AMN05OSlejQgvFAKIc1wGTGY3sV7QbNkWtHni2Xa0x5g8FjgAXlLf04H8/q3JslROo0mv7XyswuzYqM9s9tL/5CDTZlaNc0sWxgsfpQRkUeeki0sZUSkryygvfcO4MslslPVbTL1StaZvD8ss5x+UjwmZa9ZK3ahPLgt/hY4ryVwxw1+csz92qhZOEmuhoCfeC81tqnoZuKQANfzyNQ6L04nfSl5A2cjD+axcNSXqaYA9MU+KvWOZx+VykOnNq+o+6hUteTVRwMir3i9Za4+zLRafl7XP4x6B3hpHDDicVnrIFOMxn0ADBMjImFAjJgGXHQ8UFJilW8XZsXqdzZ1psgkD38tTnSXLSwW1Q6QheU9gf1kqlXvEcD1lwIDnwem3CO2muggn06NmNwlBsqe6aZOW18jH/RKMg7zWbZd3lGysJNHhSlDetJc2V5VRq4q/bL4f8AY4N9/DdB4cCo8LVw3fenEJg2VFl7qK7Ma2EeVZcQ+ymKi2/8Q+yhLN/k8owGRT7oe8/7vDFn/cJS3xGp71otkl6Qtb5rGw4JFwBh5cJolYcqpbcBmLhUDo7vpdwqzYv2dlbSV63d6zEMetA2RP5PbvRu4Qt64z35ANrwp55w6ChY3XiYGxHDgql7AWFkzkvzl7nRJbdnIg65yN0v9UpwLm1VrJKXoVS1ov/Q84LaLczcggpJJyZ4Ni5S6pnmCkEl9bXiUjEAkdkdSb8NelEX46gvKgToPLaZu+soLm0qBUs1fZtSXydanvgquj8qhHU6+SdlHJdMAdGvzEtIVZR+VqHwIRw/NawhSFHkR42TahZf1D6rR6ngf0OccMSB+BgbJW+k3Zsq3HuSodhZSrvStiDSOHduZfqcwK9bf2fYJ/q63u7r3o8CQK4FmJ9jFmmFRsThYRkVQRbaareduPCgp7dgMftGUv9sV5tHL35bN5IN+deXbA/2BhlLuhWd5uco+TVAyqdyzYWEvjRkahEwHVgXUT7lBzwMny72TPIXPjAngrzyIbZP/Qzenm74CZ7Nd2psD3QhoFEd9SUPkX1+F1kfl0g4n39Xso5JpyM6N7KNSgdj4Am+HbcoIO8jl/W7YohRveVNkFMHL9x+mzBBGYjisl12L1NSddicDM16wjAdFcPRk2SWmBlB1f4unXZgV6+9MfSsim1+m0p4dAey/L3DNJe4po2KhhvLViMu4ee7yqVhbLmKyV1Q/G25OOaqpaBMGSGx54MQ7/X0F2K7cUnmylEnJmg0Lp7qp8CBlUvfPUQ0yT31zk8ct7oTqMt1wg1sKc5qZjvoKgo36sjPEgGosbUwcHPUVjL4Kro/KoR1O3O/soxIkrCP7qNR+zCJT9iyIdrhsrtGE0ICIhvuvpaoOealMv/Cy/mH5KvOym7oA3a6y3rCqt/EJN1gWY1/XKuEzj3ZhiRSGASz/OuGL9vjaW+ZC4R63WHL8LAZT6YOqFVR6FhULNeozQEYPFq4WO0IMCcUvn27k22buNQ+RNS9qWpoYMLM+ymeJ3vMOm0UmyV56Hah5MNC2pZlyoUzlC9q1ayQ5qodoB6ervoJiUzpVQere7GgHAJoFU1+mQvzoK+o+arWawqmJi7qP8sIi7HZZ1zZP3TJhs8h0mwbVDmcqJ6x4GhBhkXYoZ+aH3tc/dGhtZvLwM/IS8Bej4dP5spj3WdO/5juJ/wlo00Iecv9jprULS4gy/QNZYyA7N90uU2Oids+8JIuUX5Y3m0cCb00wv/+gLPXW18uLd3nznu7CZLFBmP5vvXzkbpI5hejc00UamSY2Yw4w9FWZTrYlXbrg/Bc/KSqVESflzj9T/giLIw8v9UbyJ0oWbhVW60PmLTanMan96tVXzNUi96Bd88aSo+h+1Tf2OeumLyVlkGzmfmHWu3kT+/rrFkp9+ddXVH3U/C9lmqhM1619gfxfd7bawajusSj7qEwsomyXdWvzomThdm8G2Q67lRNmnAzk0UVJYPx0b+sflIx1agPXtgGemwa80A44vaHMi5eH2cR2nurL0cr1ew54XU15EWcXZsYAp4qhcWxV4JLTEiHRHJ8eLgtyB5pld+6TKsOlJwG/+U1qmPKFyaKv7HY1YCLw6NXAnTeastSqKVPI7gUWDQH2lSlX+XClhokYJ5fJyMP1snj60wXA412B6gflozRveUbFwk26Se/K4vKHJIUh2+y+YaUccqt1HtTZ2e0lJynrZTFY/vKH1Fx11FfQbKaK0ay+xN2yaWrddfVRX/71FVUftUxGxreNkVFpeTFW62Lp9+RlzZ+ui+ZOi7qPysQiqnZZxzYvKhZud2bQ7bBbWWHGlRjiwiwwbmWVNAeWScPlZYpRLnWrfb58/+GJ7PL/9ntzHnxix5nkctV2aurhOtnZhal49QG3feWBaN241DUTydfqfh4Gi127zBGI5Af37dvNKUz77ZcdITXqo5wy3jI5VcZWmS5TWcr4aoWsdannvitVpvyc4rORKUgWTvKo8GxkcssnH3E39QKemSujfr9ML0uUoaO+ErIFcVS6ryAvLO7pJN+d6R5EjuHkQX3501eUfVTiDmlzLXC29MV/7pYI8XcMs30Jqo9K1NiORZDtcjZsdGzzgmSRYG53zIaT3fVRhfXsJ9PmvwFGyuwGv44GRAaCQRkQ6qbetCX1QV1tr3iADM8aMt0iCvf6WPny9H/k4XRUFKXrVSZZ6KUPnaUp/b89W3ZAE0PivI46SxqsbA//G+ghIzyb5Jet4RysJNnlRn1505eOfZTStJKrgkxhWj9CNsCrnJ3uCy01WRSaRsOvT5AGRLnwxS++Env/Q0YYZAj2hntS666+Y/CnU1PDwvSNlDn9XduEWaK+ZZGFvrrRTTK1w9n4+2VNyqOAertYDO4LWV/S4zXgY6lznIwHpRvqK/MdqmsfpSS/X0boJ99N44EsMt/HTBEuARoQIfDuJXOxn7lNtl6VBdNLllkFThX/Oe0sf5hnauLayx/LG9QzwixVz7LIQk+96CxVh7bANDEiej2ms5TByfbnR4C5/wJOOC64PMPMifpyp61jH6UkHj4KOO4oWW92irv8xRBLFsWg5XjVkVOYMugrqClMqpjfXSZ7BZcH3h9mFqr8M5+VNYmVMgiRh+gPP5WtGO+S6VNT8pB5zLIki5gpjOKSAAnkhYBOfZSaVrp3BeAsWXdT7I4siv0OCK7+nMIUHMtQc3q6J/DBEhmOfc/6tkEUxoOq9HDZ3eLyJqFWX9vCyEJb1VAwEiCBEAno0kcNk+lyh1QzjYdlK8wttEPEoFVRZKGVOihMEgFu45oEI9+navi/RUP5CNwA4J+3yDasEUwH2LEDeFWMB7UtadO65javdQ/Ld831zJ8s9NQLpSIBEoiGgA59VF+ZFnif7HyIEovB2rQdz6yYwj4ji8LWb9xrxylMGTQY5BQmVdS778uH3u6Q3ZcOlgd52QrxtFYZBGA0CZAACZAACYREgH1USKBZDAlEQIBTmCKAHlSRrU8So6GRfHvhh/h8jCmoujMfEiABEiABvQmwj9JbP5SOBHQhwF2YItDEwB7yBWiZNhTV+ocIqswiSYAESIAEYkKAfVRMFEUxSSBCAjQgIoB/zBHA/FciKJhFkgAJkAAJkEAGAuyjMgBiNAmQAGhA8CYgARIgARIgARIgARIgARLwTIC7MHlAdYN8MKrKPrJ24UTg5qs9XMAkJEACJEACJEACJEACJKABgYvkg8bKjVoKXNjAPPf7l7sw+SXI60mABEiABEiABEiABEigiAhwClMRKZtVJQESIAESIAESIAESIAG/BGhA+CXI60mABEiABEiABEiABEigiAjQgCgiZbOqJEACJEACJEACJEACJOCXAA0IvwR5PQmQAAmQAAmQAAmQAAkUEQEaEEWkbFaVBEiABEiABEiABEiABPwS+H9xr7l7Ao7kygAAAABJRU5ErkJggg=="&gt;&lt;/p&gt;

&lt;p&gt;Proof:&lt;/p&gt;

&lt;p&gt;&lt;img src="data:image/png;base64,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"&gt;&lt;/p&gt;

&lt;p&gt;But for the heck of it I can&amp;#39;t get Maple to find that result by itself.&lt;/p&gt;

&lt;p&gt;My attempts are in this worksheet: &lt;a href="/view.aspx?sf=243769_question/Maple_example.mw"&gt;Maple_example.mw&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;TIA,&lt;/p&gt;

&lt;p&gt;Mac Dude.&lt;/p&gt;
</description>
      <guid>243769</guid>
      <pubDate>Thu, 10 Sep 2026 14:37:12 Z</pubDate>
      <itunes:author>Mac Dude</itunes:author>
      <author>Mac Dude</author>
    </item>
    <item>
      <title>Polynomial systems in Maple 2024</title>
      <link>http://www.mapleprimes.com/posts/235621-Polynomial-Systems-In-Maple-2024?ref=Feed:MaplePrimes:New%20Questions%20&amp;amp;%20Posts</link>
      <itunes:summary>&lt;p&gt;Add a couple of variables to a polynomial system and the difficulty climbs fast. Maple 2024 helps here in one specific way: RootFinding:-Isolate handles complex solutions of multivariate systems.&lt;/p&gt;

&lt;p&gt;Take this one:&lt;/p&gt;

&lt;p&gt;sys := [&lt;br&gt;
&amp;nbsp; x + y + z = 0,&lt;br&gt;
&amp;nbsp; x*y + y*z + z*x = 1,&lt;br&gt;
&amp;nbsp; x*y*z = 1&lt;br&gt;
]:&lt;/p&gt;

&lt;p&gt;RootFinding:-Isolate(sys, [x,y,z], complex);&lt;/p&gt;

&lt;p&gt;Previously you would break that down yourself into a chain of single-variable equations. Now you hand it over whole.&lt;/p&gt;

&lt;p&gt;fsolve changed too. For univariate polynomials above degree two it calls RootFinding:-Isolate by default. There is also a PW method, which isolates and approximates complex roots faster in a lot of cases.&lt;/p&gt;

&lt;p&gt;Worth understanding what isolation actually does: it locates regions containing roots first, then refines the approximations inside them. That ordering matters when roots cluster tightly or sit in the complex plane, exactly where plain numerical root-finders start returning garbage or grinding.&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;Add a couple of variables to a polynomial system and the difficulty climbs fast. Maple 2024 helps here in one specific way: RootFinding:-Isolate handles complex solutions of multivariate systems.&lt;/p&gt;

&lt;p&gt;Take this one:&lt;/p&gt;

&lt;p&gt;sys := [&lt;br /&gt;
&amp;nbsp; x + y + z = 0,&lt;br /&gt;
&amp;nbsp; x*y + y*z + z*x = 1,&lt;br /&gt;
&amp;nbsp; x*y*z = 1&lt;br /&gt;
]:&lt;/p&gt;

&lt;p&gt;RootFinding:-Isolate(sys, [x,y,z], complex);&lt;/p&gt;

&lt;p&gt;Previously you would break that down yourself into a chain of single-variable equations. Now you hand it over whole.&lt;/p&gt;

&lt;p&gt;fsolve changed too. For univariate polynomials above degree two it calls RootFinding:-Isolate by default. There is also a PW method, which isolates and approximates complex roots faster in a lot of cases.&lt;/p&gt;

&lt;p&gt;Worth understanding what isolation actually does: it locates regions containing roots first, then refines the approximations inside them. That ordering matters when roots cluster tightly or sit in the complex plane, exactly where plain numerical root-finders start returning garbage or grinding.&lt;/p&gt;
</description>
      <guid>235621</guid>
      <pubDate>Wed, 09 Sep 2026 17:24:37 Z</pubDate>
      <itunes:author>Tomer Damari</itunes:author>
      <author>Tomer Damari</author>
    </item>
    <item>
      <title>Maple Installer Question</title>
      <link>http://www.mapleprimes.com/questions/243768-Maple-Installer-Question?ref=Feed:MaplePrimes:New%20Questions%20&amp;amp;%20Posts</link>
      <itunes:summary>&lt;p&gt;I specifically want to install the Maple 2024 version as I am implementing a open-source research project which specifically states the requirement of Maple 2024, but in the 15 days free trial version I am not able to to so, can someone please help me!&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;I specifically want to install the Maple 2024 version as I am implementing a open-source research project which specifically states the requirement of Maple 2024, but in the 15 days free trial version I am not able to to so, can someone please help me!&lt;/p&gt;
</description>
      <guid>243768</guid>
      <pubDate>Wed, 09 Sep 2026 06:26:41 Z</pubDate>
      <itunes:author>adityasaroha</itunes:author>
      <author>adityasaroha</author>
    </item>
    <item>
      <title>Adding a library path</title>
      <link>http://www.mapleprimes.com/questions/243766-Adding-A-Library-Path?ref=Feed:MaplePrimes:New%20Questions%20&amp;amp;%20Posts</link>
      <itunes:summary>&lt;p&gt;I need to add a library path name to get an old style package &lt;strong&gt;.lib&lt;/strong&gt; to run. Currently a have to manually add the path. How do I solve this?&lt;br&gt;
Also should the package be convverted to &lt;strong&gt;.mla&lt;/strong&gt; type?&amp;nbsp; What is the difference?&lt;/p&gt;

&lt;p&gt;Edit;- I am using windows 10&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="4503CBEDCB140E3DA4D422734DBA14B3"&gt;
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			&lt;td&gt;
			&lt;table style="margin-left:0px;margin-right:0px"&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;restart&lt;/span&gt;&lt;/p&gt;
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			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;download location &lt;/span&gt;&lt;a href="https://github.com/fractal97/CLIFFORD"&gt;&lt;span style="color:#125d99;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&lt;u&gt;https://github.com/fractal97/CLIFFORD&lt;/u&gt;&lt;/span&gt;&lt;/a&gt;&lt;/p&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;libname&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="&amp;quot;C:\Users\Ronan\maple\toolbox\2026\Maple Customer Support Updates\lib&amp;quot;, &amp;quot;C:\Program Files\Maple 2026\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\CodeBuilder\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\DirectSearch\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\OEIS\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\personal\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\UTF8\lib&amp;quot;" height="74" src="/view.aspx?sf=243766_question/bad9a543aa8b36434bbce9d2ce69e8f5.gif" style="vertical-align:-57px" width="738"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(1)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
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			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;I have to use the following to get the package to load&lt;/span&gt;&lt;/p&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;savelibname:=&amp;quot;C:/Users/Ronan/Maple/toolbox/Cliffordlib&amp;quot;&lt;/span&gt;&lt;/p&gt;
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			&lt;table&gt;
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						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="&amp;quot;C:/Users/Ronan/Maple/toolbox/Cliffordlib&amp;quot;" height="23" src="/view.aspx?sf=243766_question/a2d661b48e1b45cda1052961fc9b24e1.gif" style="vertical-align:-6px" width="374"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(2)&lt;/td&gt;
					&lt;/tr&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;libname:=savelibname,libname:&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;libname&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
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			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="&amp;quot;C:/Users/Ronan/Maple/toolbox/Cliffordlib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\2026\Maple Customer Support Updates\lib&amp;quot;, &amp;quot;C:\Program Files\Maple 2026\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\CodeBuilder\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\DirectSearch\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\OEIS\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\personal\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\UTF8\lib&amp;quot;" height="91" src="/view.aspx?sf=243766_question/9948182c852c8f9fb822068ebbd35152.gif" style="vertical-align:-74px" width="738"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(3)&lt;/td&gt;
					&lt;/tr&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;with(eClifford)&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
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						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="_known_types = [eclibasmon, eclimon, eclipolynom]" height="23" src="/view.aspx?sf=243766_question/5fb77452582b753b41b92b2ac7c18e35.gif" style="vertical-align:-6px" width="321"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;&amp;nbsp;&lt;/td&gt;
					&lt;/tr&gt;
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			&lt;table&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="_known_sortings = [`sort/byegrade`, `sort/byegradenum`, `sort/byegradesymb`]" height="23" src="/view.aspx?sf=243766_question/12fec29699cda49846ee07d06cb2367f.gif" style="vertical-align:-6px" width="457"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;&amp;nbsp;&lt;/td&gt;
					&lt;/tr&gt;
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			&lt;table&gt;
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						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="_known_conversions = [`convert/binarytuple_to_eclibasmon`, `convert/clibas_to_eclibas`, `convert/eclibas_to_clibas`, `convert/eclibasmon_to_binarytuple`]" height="40" src="/view.aspx?sf=243766_question/8450d54c2e47f59ceebf3aff1a07e1a1.gif" style="vertical-align:-23px" width="738"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;&amp;nbsp;&lt;/td&gt;
					&lt;/tr&gt;
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			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="_revisions_additions = [eClifford:-eLC, eClifford:-ecinv, eClifford:-ecinv1, eClifford:-ecinv2, eClifford:-ecmulCh, eClifford:-eminpoly]" height="40" src="/view.aspx?sf=243766_question/1c4366b8ef66193f2ab5d597b96df060.gif" style="vertical-align:-23px" width="738"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;&amp;nbsp;&lt;/td&gt;
					&lt;/tr&gt;
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			&lt;table&gt;
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						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="[ModuleLoad, ModuleUnload, byegrade, byegradenum, byegradesymb, cmulWalsh3pqr, eCliffordversion, eLC, ecbasis, ecinv, ecinv1, ecinv11, ecinv2, ecinv22, eclicollect, ecliscalarpart, ecliterms, ecmul, ecmulCh, econjugation, eextract, egrade, egradeinv, emaxgrade, emaxindex, eminpoly, ereversion, esplit, esupport, evectorpart, ewedge, innerprod, split, subs_into_minpoly]" height="74" src="/view.aspx?sf=243766_question/ff1d7ce5916c20293cfcaa4de5bfc142.gif" style="vertical-align:-57px" width="738"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(4)&lt;/td&gt;
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			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;This is a screen shot of what in in the library folder. It is a older type &lt;/span&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:bold;font-style:normal;"&gt;.lib&lt;/span&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&amp;nbsp;package&lt;/span&gt;&lt;/p&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img align="center" height="333" src="/view.aspx?sf=243766_question/a2663bd5699b32182d3ecdaff94dec30.gif" width="550"&gt;&lt;/p&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;This is what is in the &lt;/span&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:bold;font-style:normal;"&gt;.ini&lt;/span&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&amp;nbsp;file&lt;/span&gt;&lt;/p&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;#savelibname:=&amp;quot;C:\\Maple2020/Cliffordlib&amp;quot;:&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;#libname:=savelibname,libname:&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;#savelibname:=&amp;quot;C:\\Maple2020/Cliffordlib&amp;quot;:&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;savelibname:=&amp;quot;C:\\Users\Ronan\Maple\toolbox\Cliffordlib&amp;quot;:&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;libname:=savelibname,libname:&lt;/span&gt;&lt;br&gt;
			&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;filepathname:=cat(savelibname,&amp;quot;/&amp;quot;,&amp;quot;define.m&amp;quot;):&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;read filepathname:&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;filepathname:=cat(savelibname,&amp;quot;/&amp;quot;,&amp;quot;definemore.m&amp;quot;):&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;read filepathname:&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;read(cat(savelibname,&amp;quot;/&amp;quot;,&amp;quot;Walshpackage.m&amp;quot;));&lt;/span&gt;&lt;/p&gt;
			&lt;/td&gt;
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	&lt;/tbody&gt;
&lt;/table&gt;
&lt;input name="sequence" type="hidden" value="1"&gt; &lt;input name="cmd" type="hidden" value="none"&gt;&lt;/form&gt;

&lt;p&gt;&lt;br&gt;
&lt;a href="/view.aspx?sf=243766_question/2026-09-06_Q_Library_path_Clifford_Test.mw"&gt;Download 2026-09-06_Q_Library_path_Clifford_Test.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;I need to add a library path name to get an old style package &lt;strong&gt;.lib&lt;/strong&gt; to run. Currently a have to manually add the path. How do I solve this?&lt;br&gt;
Also should the package be convverted to &lt;strong&gt;.mla&lt;/strong&gt; type?&amp;nbsp; What is the difference?&lt;/p&gt;

&lt;p&gt;Edit;- I am using windows 10&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="4503CBEDCB140E3DA4D422734DBA14B3"&gt;
&lt;table align="center" width="768"&gt;
	&lt;tbody&gt;
		&lt;tr&gt;
			&lt;td&gt;
			&lt;table style="margin-left:0px;margin-right:0px"&gt;
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					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;restart&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
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			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;download location &lt;/span&gt;&lt;a href="https://github.com/fractal97/CLIFFORD"&gt;&lt;span style="color:#125d99;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&lt;u&gt;https://github.com/fractal97/CLIFFORD&lt;/u&gt;&lt;/span&gt;&lt;/a&gt;&lt;/p&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;libname&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
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			&lt;/table&gt;

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						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="&amp;quot;C:\Users\Ronan\maple\toolbox\2026\Maple Customer Support Updates\lib&amp;quot;, &amp;quot;C:\Program Files\Maple 2026\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\CodeBuilder\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\DirectSearch\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\OEIS\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\personal\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\UTF8\lib&amp;quot;" height="74" src="/view.aspx?sf=243766_question/bad9a543aa8b36434bbce9d2ce69e8f5.gif" style="vertical-align:-57px" width="738"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(1)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;I have to use the following to get the package to load&lt;/span&gt;&lt;/p&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;savelibname:=&amp;quot;C:/Users/Ronan/Maple/toolbox/Cliffordlib&amp;quot;&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="&amp;quot;C:/Users/Ronan/Maple/toolbox/Cliffordlib&amp;quot;" height="23" src="/view.aspx?sf=243766_question/a2d661b48e1b45cda1052961fc9b24e1.gif" style="vertical-align:-6px" width="374"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(2)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;libname:=savelibname,libname:&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;libname&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="&amp;quot;C:/Users/Ronan/Maple/toolbox/Cliffordlib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\2026\Maple Customer Support Updates\lib&amp;quot;, &amp;quot;C:\Program Files\Maple 2026\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\CodeBuilder\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\DirectSearch\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\OEIS\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\personal\lib&amp;quot;, &amp;quot;C:\Users\Ronan\maple\toolbox\UTF8\lib&amp;quot;" height="91" src="/view.aspx?sf=243766_question/9948182c852c8f9fb822068ebbd35152.gif" style="vertical-align:-74px" width="738"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(3)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;with(eClifford)&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="_known_types = [eclibasmon, eclimon, eclipolynom]" height="23" src="/view.aspx?sf=243766_question/5fb77452582b753b41b92b2ac7c18e35.gif" style="vertical-align:-6px" width="321"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;&amp;nbsp;&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="_known_sortings = [`sort/byegrade`, `sort/byegradenum`, `sort/byegradesymb`]" height="23" src="/view.aspx?sf=243766_question/12fec29699cda49846ee07d06cb2367f.gif" style="vertical-align:-6px" width="457"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;&amp;nbsp;&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="_known_conversions = [`convert/binarytuple_to_eclibasmon`, `convert/clibas_to_eclibas`, `convert/eclibas_to_clibas`, `convert/eclibasmon_to_binarytuple`]" height="40" src="/view.aspx?sf=243766_question/8450d54c2e47f59ceebf3aff1a07e1a1.gif" style="vertical-align:-23px" width="738"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;&amp;nbsp;&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="_revisions_additions = [eClifford:-eLC, eClifford:-ecinv, eClifford:-ecinv1, eClifford:-ecinv2, eClifford:-ecmulCh, eClifford:-eminpoly]" height="40" src="/view.aspx?sf=243766_question/1c4366b8ef66193f2ab5d597b96df060.gif" style="vertical-align:-23px" width="738"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;&amp;nbsp;&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="[ModuleLoad, ModuleUnload, byegrade, byegradenum, byegradesymb, cmulWalsh3pqr, eCliffordversion, eLC, ecbasis, ecinv, ecinv1, ecinv11, ecinv2, ecinv22, eclicollect, ecliscalarpart, ecliterms, ecmul, ecmulCh, econjugation, eextract, egrade, egradeinv, emaxgrade, emaxindex, eminpoly, ereversion, esplit, esupport, evectorpart, ewedge, innerprod, split, subs_into_minpoly]" height="74" src="/view.aspx?sf=243766_question/ff1d7ce5916c20293cfcaa4de5bfc142.gif" style="vertical-align:-57px" width="738"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(4)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;This is a screen shot of what in in the library folder. It is a older type &lt;/span&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:bold;font-style:normal;"&gt;.lib&lt;/span&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&amp;nbsp;package&lt;/span&gt;&lt;/p&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img align="center" height="333" src="/view.aspx?sf=243766_question/a2663bd5699b32182d3ecdaff94dec30.gif" width="550"&gt;&lt;/p&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;This is what is in the &lt;/span&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:bold;font-style:normal;"&gt;.ini&lt;/span&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&amp;nbsp;file&lt;/span&gt;&lt;/p&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;#savelibname:=&amp;quot;C:\\Maple2020/Cliffordlib&amp;quot;:&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;#libname:=savelibname,libname:&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;#savelibname:=&amp;quot;C:\\Maple2020/Cliffordlib&amp;quot;:&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;savelibname:=&amp;quot;C:\\Users\Ronan\Maple\toolbox\Cliffordlib&amp;quot;:&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;libname:=savelibname,libname:&lt;/span&gt;&lt;br&gt;
			&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;filepathname:=cat(savelibname,&amp;quot;/&amp;quot;,&amp;quot;define.m&amp;quot;):&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;read filepathname:&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;filepathname:=cat(savelibname,&amp;quot;/&amp;quot;,&amp;quot;definemore.m&amp;quot;):&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;read filepathname:&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;read(cat(savelibname,&amp;quot;/&amp;quot;,&amp;quot;Walshpackage.m&amp;quot;));&lt;/span&gt;&lt;/p&gt;
			&lt;/td&gt;
		&lt;/tr&gt;
	&lt;/tbody&gt;
&lt;/table&gt;
&lt;input name="sequence" type="hidden" value="1"&gt; &lt;input name="cmd" type="hidden" value="none"&gt;&lt;/form&gt;

&lt;p&gt;&lt;br&gt;
&lt;a href="/view.aspx?sf=243766_question/2026-09-06_Q_Library_path_Clifford_Test.mw"&gt;Download 2026-09-06_Q_Library_path_Clifford_Test.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>243766</guid>
      <pubDate>Sat, 05 Sep 2026 23:28:29 Z</pubDate>
      <itunes:author>Ronan</itunes:author>
      <author>Ronan</author>
    </item>
    <item>
      <title>GUI is unresponsive</title>
      <link>http://www.mapleprimes.com/questions/243764-GUI-Is-Unresponsive?ref=Feed:MaplePrimes:New%20Questions%20&amp;amp;%20Posts</link>
      <itunes:summary>&lt;p&gt;Hello,&lt;/p&gt;

&lt;p&gt;Under Windows 11 Pro the GUI of Maple 2026.1 stuck Maple totally.&lt;/p&gt;

&lt;p&gt;I can&amp;#39;t even open a new document.&lt;/p&gt;

&lt;p&gt;In Maple 2026.0 everything was ok...&lt;/p&gt;

&lt;p&gt;This .1 release is unusable on my computer. I didn&amp;#39;t dare to ask until today.&lt;/p&gt;

&lt;p&gt;Open windows task manager I see that OpenJDK platform binary is the culprit.&lt;/p&gt;

&lt;p&gt;Then.. I do NOT know what to do.&lt;/p&gt;

&lt;p&gt;If someone has an idea I will be very happy.&lt;/p&gt;

&lt;p&gt;Thanks and best,&lt;/p&gt;

&lt;p&gt;Jean-Michel&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;Hello,&lt;/p&gt;

&lt;p&gt;Under Windows 11 Pro the GUI of Maple 2026.1 stuck Maple totally.&lt;/p&gt;

&lt;p&gt;I can&amp;#39;t even open a new document.&lt;/p&gt;

&lt;p&gt;In Maple 2026.0 everything was ok...&lt;/p&gt;

&lt;p&gt;This .1 release is unusable on my computer. I didn&amp;#39;t dare to ask until today.&lt;/p&gt;

&lt;p&gt;Open windows task manager I see that OpenJDK platform binary is the culprit.&lt;/p&gt;

&lt;p&gt;Then.. I do NOT know what to do.&lt;/p&gt;

&lt;p&gt;If someone has an idea I will be very happy.&lt;/p&gt;

&lt;p&gt;Thanks and best,&lt;/p&gt;

&lt;p&gt;Jean-Michel&lt;/p&gt;
</description>
      <guid>243764</guid>
      <pubDate>Sat, 05 Sep 2026 18:46:28 Z</pubDate>
      <itunes:author>Jean-Michel</itunes:author>
      <author>Jean-Michel</author>
    </item>
    <item>
      <title>Integrating the derivative of tanh</title>
      <link>http://www.mapleprimes.com/questions/243763-Integrating-The-Derivative-Of-Tanh?ref=Feed:MaplePrimes:New%20Questions%20&amp;amp;%20Posts</link>
      <itunes:summary>&lt;p&gt;&lt;span style="font-size:16px;"&gt;I could not figure out why Maple does not return tanh. Instead a complex valued function for real arguments is returned.&amp;nbsp;This is not recent. I tried down to Maple 2020. &amp;nbsp;Is that correct? &lt;/span&gt;&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="3AF5310C2A80DEFF00030438D89D30D1"&gt;
&lt;table align="center" width="768"&gt;
	&lt;tbody&gt;
		&lt;tr&gt;
			&lt;td&gt;
			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;D(tanh);&lt;/span&gt;&lt;br&gt;
						&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;plot(%)&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="-tanh^2+1" height="27" src="/view.aspx?sf=243763_question/de762d9d8e2b0326912a63a880272bb9.gif" style="vertical-align:-6px" width="74"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;&amp;nbsp;&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" height="500" src="/view.aspx?sf=243763_question/2a413cadc028447fa1ec5240ae077a6e.gif" style="border:none" width="500"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;&amp;nbsp;&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;int(D(tanh)(x),x);# I expected tanh&lt;/span&gt;&lt;br&gt;
						&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;plot(%);# ok, no plot for real valued x&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="x+tanh(x)+(1/2)*ln(tanh(x)-1)-(1/2)*ln(tanh(x)+1)" height="42" src="/view.aspx?sf=243763_question/605091900227684907395f3c484eedab.gif" style="vertical-align:-16px" width="331"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;&amp;nbsp;&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;a href="http://www.maplesoft.com/support/help/errors/view.aspx?path=Warning,%20unable%20to%20evaluate%20the%20function%20to%20numeric%20values%20in%20the%20region%3B%20complex%20values%20were%20detected"&gt;&lt;span style="color:#0000ff;font-size: 100%;font-family: monospace,monospace;font-weight:normal;font-style:normal;"&gt;&lt;u&gt;Warning, unable to evaluate the function to numeric values in the region; complex values were detected&lt;/u&gt;&lt;/span&gt;&lt;/a&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;&amp;nbsp;&lt;/td&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;int(D(tanh)(x),x=0..infinity);# this result seems to be known in advance and fits to the above plot&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="1" height="23" src="/view.aspx?sf=243763_question/10fbd6384c2874ed544db80c49f21f09.gif" style="vertical-align:-6px" width="13"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(1)&lt;/td&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;int(D(tanh)(x),x=a..b);&lt;/span&gt;&lt;br&gt;
						&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;eval(%,[a=0,b=infinity]);# I expected 1 from &lt;/span&gt;&lt;span style="color:#000000; font-weight:bold; font-style:normal;"&gt;(1)&lt;/span&gt;&lt;br&gt;
						&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;eval(%%,[a=0,b=50.]);# retruns complex for small values&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="-a-tanh(a)-(1/2)*ln(tanh(a)-1)+(1/2)*ln(tanh(a)+1)+b+tanh(b)+(1/2)*ln(tanh(b)-1)-(1/2)*ln(tanh(b)+1)" height="42" src="/view.aspx?sf=243763_question/31e0e65446db91c8995a326a94b371cb.gif" style="vertical-align:-16px" width="694"&gt;&lt;/p&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;a href="http://www.maplesoft.com/support/help/errors/view.aspx?path=Error,%20(in%20ln)%20numeric%20exception%3A%20division%20by%20zero"&gt;&lt;span style="color:#ab29cc;font-size: 100%;font-family: monospace,monospace;font-weight:normal;font-style:normal;"&gt;&lt;u&gt;Error, (in ln) numeric exception: division by zero&lt;/u&gt;&lt;/span&gt;&lt;/a&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="-Float(infinity)-((1/2)*I)*Pi" height="45" src="/view.aspx?sf=243763_question/975c0e0420c066f0a26ffef647f1f4a0.gif" style="vertical-align:-16px" width="119"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(2)&lt;/td&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;evalf(int(D(tanh)(x),x=0..50))&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="1.000000000" height="23" src="/view.aspx?sf=243763_question/0e7a3df5a5b1765e3f1f6988742c3e7c.gif" style="vertical-align:-6px" width="84"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(3)&lt;/td&gt;
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			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;Let&amp;#39;s try integrating the identical expression sech^2&lt;/span&gt;&lt;/p&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;

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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="tanh(x)" height="23" src="/view.aspx?sf=243763_question/3e7176d66ec7495048289fe1889bb5b0.gif" style="vertical-align:-6px" width="51"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(4)&lt;/td&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;is((sech^2=1-tanh^2)(x));# check identity&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="true" height="23" src="/view.aspx?sf=243763_question/7c8c760c26e6bef85381bb9f40f4e9c4.gif" style="vertical-align:-6px" width="30"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(5)&lt;/td&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;int(sech(x)^2,x);# what I expected&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="tanh(x)" height="23" src="/view.aspx?sf=243763_question/7169efc52240aa6c8592ebb2d061d370.gif" style="vertical-align:-6px" width="51"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(6)&lt;/td&gt;
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&lt;input name="sequence" type="hidden" value="1"&gt; &lt;input name="cmd" type="hidden" value="none"&gt;&lt;/form&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243763_question/Integrating_D_tanh.mw"&gt;Download Integrating_D_tanh.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;&lt;span style="font-size:16px;"&gt;I could not figure out why Maple does not return tanh. Instead a complex valued function for real arguments is returned.&amp;nbsp;This is not recent. I tried down to Maple 2020. &amp;nbsp;Is that correct? &lt;/span&gt;&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="3AF5310C2A80DEFF00030438D89D30D1"&gt;
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			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;

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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;D(tanh);&lt;/span&gt;&lt;br&gt;
						&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;plot(%)&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="-tanh^2+1" height="27" src="/view.aspx?sf=243763_question/de762d9d8e2b0326912a63a880272bb9.gif" style="vertical-align:-6px" width="74"&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" height="500" src="/view.aspx?sf=243763_question/2a413cadc028447fa1ec5240ae077a6e.gif" style="border:none" width="500"&gt;&lt;/p&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;int(D(tanh)(x),x);# I expected tanh&lt;/span&gt;&lt;br&gt;
						&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;plot(%);# ok, no plot for real valued x&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="x+tanh(x)+(1/2)*ln(tanh(x)-1)-(1/2)*ln(tanh(x)+1)" height="42" src="/view.aspx?sf=243763_question/605091900227684907395f3c484eedab.gif" style="vertical-align:-16px" width="331"&gt;&lt;/p&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;a href="http://www.maplesoft.com/support/help/errors/view.aspx?path=Warning,%20unable%20to%20evaluate%20the%20function%20to%20numeric%20values%20in%20the%20region%3B%20complex%20values%20were%20detected"&gt;&lt;span style="color:#0000ff;font-size: 100%;font-family: monospace,monospace;font-weight:normal;font-style:normal;"&gt;&lt;u&gt;Warning, unable to evaluate the function to numeric values in the region; complex values were detected&lt;/u&gt;&lt;/span&gt;&lt;/a&gt;&lt;/p&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;int(D(tanh)(x),x=0..infinity);# this result seems to be known in advance and fits to the above plot&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="1" height="23" src="/view.aspx?sf=243763_question/10fbd6384c2874ed544db80c49f21f09.gif" style="vertical-align:-6px" width="13"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(1)&lt;/td&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;int(D(tanh)(x),x=a..b);&lt;/span&gt;&lt;br&gt;
						&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;eval(%,[a=0,b=infinity]);# I expected 1 from &lt;/span&gt;&lt;span style="color:#000000; font-weight:bold; font-style:normal;"&gt;(1)&lt;/span&gt;&lt;br&gt;
						&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;eval(%%,[a=0,b=50.]);# retruns complex for small values&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="-a-tanh(a)-(1/2)*ln(tanh(a)-1)+(1/2)*ln(tanh(a)+1)+b+tanh(b)+(1/2)*ln(tanh(b)-1)-(1/2)*ln(tanh(b)+1)" height="42" src="/view.aspx?sf=243763_question/31e0e65446db91c8995a326a94b371cb.gif" style="vertical-align:-16px" width="694"&gt;&lt;/p&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;a href="http://www.maplesoft.com/support/help/errors/view.aspx?path=Error,%20(in%20ln)%20numeric%20exception%3A%20division%20by%20zero"&gt;&lt;span style="color:#ab29cc;font-size: 100%;font-family: monospace,monospace;font-weight:normal;font-style:normal;"&gt;&lt;u&gt;Error, (in ln) numeric exception: division by zero&lt;/u&gt;&lt;/span&gt;&lt;/a&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;&amp;nbsp;&lt;/td&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="-Float(infinity)-((1/2)*I)*Pi" height="45" src="/view.aspx?sf=243763_question/975c0e0420c066f0a26ffef647f1f4a0.gif" style="vertical-align:-16px" width="119"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(2)&lt;/td&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;evalf(int(D(tanh)(x),x=0..50))&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="1.000000000" height="23" src="/view.aspx?sf=243763_question/0e7a3df5a5b1765e3f1f6988742c3e7c.gif" style="vertical-align:-6px" width="84"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(3)&lt;/td&gt;
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			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;Let&amp;#39;s try integrating the identical expression sech^2&lt;/span&gt;&lt;/p&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;

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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="tanh(x)" height="23" src="/view.aspx?sf=243763_question/3e7176d66ec7495048289fe1889bb5b0.gif" style="vertical-align:-6px" width="51"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(4)&lt;/td&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;is((sech^2=1-tanh^2)(x));# check identity&lt;/span&gt;&lt;/p&gt;
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			&lt;table&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="true" height="23" src="/view.aspx?sf=243763_question/7c8c760c26e6bef85381bb9f40f4e9c4.gif" style="vertical-align:-6px" width="30"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(5)&lt;/td&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;int(sech(x)^2,x);# what I expected&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="tanh(x)" height="23" src="/view.aspx?sf=243763_question/7169efc52240aa6c8592ebb2d061d370.gif" style="vertical-align:-6px" width="51"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(6)&lt;/td&gt;
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			&lt;/td&gt;
		&lt;/tr&gt;
	&lt;/tbody&gt;
&lt;/table&gt;
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&lt;p&gt;&lt;a href="/view.aspx?sf=243763_question/Integrating_D_tanh.mw"&gt;Download Integrating_D_tanh.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>243763</guid>
      <pubDate>Thu, 03 Sep 2026 21:05:35 Z</pubDate>
      <itunes:author>C_R</itunes:author>
      <author>C_R</author>
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