<?xml version="1.0" encoding="UTF-8"?><rss xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:atom="http://www.w3.org/2005/Atom" version="2.0"><channel><title><![CDATA[RSS Feed]]></title><description><![CDATA[RSS Feed]]></description><link>http://direct.ecency.com</link><image><url>http://direct.ecency.com/logo512.png</url><title>RSS Feed</title><link>http://direct.ecency.com</link></image><generator>RSS for Node</generator><lastBuildDate>Fri, 17 Apr 2026 03:53:45 GMT</lastBuildDate><atom:link href="http://direct.ecency.com/created/algebra/rss.xml" rel="self" type="application/rss+xml"/><item><title><![CDATA[Vortex Math Doubling Patterns: 1248751, 3636, 9999]]></title><description><![CDATA[In this video I show the patterns that arise when we continuously double and take the vortex sum of numbers in the base 10 system. When doubling from 1, we get the 1248751 pattern; doubling from 3 yields]]></description><link>http://direct.ecency.com/hive-111030/@mes/vortex-math-doubling-patterns-1248751-3636-9999</link><guid isPermaLink="true">http://direct.ecency.com/hive-111030/@mes/vortex-math-doubling-patterns-1248751-3636-9999</guid><category><![CDATA[hive-111030]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Thu, 11 Dec 2025 23:22:24 GMT</pubDate><enclosure url="https://images.ecency.com/p/QVdSJhgNm7rytEdw6Y8ua3ELysg9umAYoQxsRewpowcr9BKTDetB9PKR7PNJH6oi9yAvrKso1XpztydZuTzgnRFe9xVJLzXKaLBo9gpwVjWi3vu4D5Cy8zmP1A3XS7q8UfqjbY4MypTckWgP1B31oCxmvJ3eg2r5myH86j1CczKbFrqpMXVMr2s?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Vortex Math is Based on the Modulo Multiplication Identity]]></title><description><![CDATA[In this video, I go over modular arithmetic and show that it is essentially the same as the "vortex math" that I have been describing. Modular arithmetic is most commonly used in daily life via]]></description><link>http://direct.ecency.com/hive-111030/@mes/6zntsx-vortex-math-is-based-on-the-modulo-multiplication-identity</link><guid isPermaLink="true">http://direct.ecency.com/hive-111030/@mes/6zntsx-vortex-math-is-based-on-the-modulo-multiplication-identity</guid><category><![CDATA[hive-111030]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Tue, 09 Dec 2025 05:23:27 GMT</pubDate><enclosure url="https://images.ecency.com/p/5s4dzRwnVbzGM3JdyYKz6jx9fFPTMbZhYMErUJH1tgUBpmQC5hkUcvUVVsHCBppLkUauCENCyQjx6tDVWTFynqqN7hzVov4YFM1Y3p3aNzaBJY9ZPxt5bzo7rjRYYut1A1YqBv4cFjECPA9KqepCAz7DEz1enf3h27bQgUX?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Modular Arithmetic = Vortex Math]]></title><description><![CDATA[In this video, I go over modular arithmetic and show that it is essentially the same as the "vortex math" that I have been describing. Modular arithmetic is most commonly used in daily life via]]></description><link>http://direct.ecency.com/hive-128780/@mes/dlmbgmqu</link><guid isPermaLink="true">http://direct.ecency.com/hive-128780/@mes/dlmbgmqu</guid><category><![CDATA[hive-128780]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Tue, 09 Dec 2025 05:05:06 GMT</pubDate><enclosure url="https://images.ecency.com/p/99pyU5Ga1kwr5bsMXthzYLbcngN4W2P8NtU9TWTdHC3HaQbjuuRfKKVdjVcL5MYKWAJFutwL41XdZr3MQfPbBrnyy4dHXqWqEnd2hTeKSYm35SKVHA6Ej7z1V7HxVRVE6S?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Vortex Math is Based on the Modulo Multiplication Identity]]></title><description><![CDATA[In this video I show that the previous result of "multiplying a number and its vortex sum yields the same vortex sum" can be written in its equivalent modulo multiplication identity. Since we]]></description><link>http://direct.ecency.com/hive-111030/@mes/vortex-math-is-based-on-the-modulo-multiplication-identity</link><guid isPermaLink="true">http://direct.ecency.com/hive-111030/@mes/vortex-math-is-based-on-the-modulo-multiplication-identity</guid><category><![CDATA[hive-111030]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Thu, 04 Dec 2025 17:51:36 GMT</pubDate><enclosure url="https://images.ecency.com/p/2xVmzkbNCvpwrGAp45WKwgAaUaJnmHfvZ7RZqiyQWofSGyTTtrRkun2sibMR2hdrzA8xRLoudzqxLjutxWXe4zcpVFsXF3p1R1gADqD1KYTUKiZ9V4nDWLPXvxGprsKnkz9UvbsYiU3qR1eHcu3m1NAa8g1BUD88XwprsnPepwN5ArmTYL8thFxETsq1RnPryghtVDwu?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Multiplying a Number and Its Vortex Sum Results in the Same Vortex Sum]]></title><description><![CDATA[In this video I show that multiplying a number or its vortex sum (summing digits until a single digit is obtained) yields the exact same vortex sum. This is the cause of nearly all of the amazing vortex]]></description><link>http://direct.ecency.com/hive-111030/@mes/multiplying-a-number-and-its-vortex-sum-results-in-the-same-vortex-sum</link><guid isPermaLink="true">http://direct.ecency.com/hive-111030/@mes/multiplying-a-number-and-its-vortex-sum-results-in-the-same-vortex-sum</guid><category><![CDATA[hive-111030]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Tue, 02 Dec 2025 05:07:15 GMT</pubDate><enclosure url="https://images.ecency.com/p/QVdSJhgNm7rytEdw6Y8ua3ELysg9umAYoQxsRewpowcr9BKTDetB9PLMRToc4HM93DVgGpU6H6ArTGV1RLqNvkN6DbQSwDNPytCCdkmwcSztrL6DFJN2BV9eG7pPAB5yfezM1hwyNL5nEuPfyfkQcQvAY7a7nbq56eTv7GAC6TUE3VJNk33TFpb?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Multiplying a Number and Its Vortex Sum Results in the Same Vortex Sum]]></title><description><![CDATA[In this video I show that multiplying a number or its vortex sum (summing digits until a single digit is obtained) yields the exact same vortex sum. This is the cause of nearly all of the amazing vortex]]></description><link>http://direct.ecency.com/hive-128780/@mes/ckxgkkwv</link><guid isPermaLink="true">http://direct.ecency.com/hive-128780/@mes/ckxgkkwv</guid><category><![CDATA[hive-128780]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Tue, 02 Dec 2025 04:55:06 GMT</pubDate><enclosure url="https://images.ecency.com/p/99pyU5Ga1kwr5bsMXthzYLbcngN4W2P8NtU9TWTdHC3HaQbjuuRfKKVdjVfVEEeNKMqEbuhzrFijZqTZPyyatf1GojDhpLSraAk3o6Atf8wLS5fMs2JUwagZypEtbpxtNz?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Using Base 10 to Calculate Vortex Sum of Different Number Systems]]></title><description><![CDATA[In this video I show that the vortex digit sum (summing the digits until we obtain 1 digit) for any base number system can be obtained quickly by using the default Base 10 Modulo function available in]]></description><link>http://direct.ecency.com/hive-111030/@mes/using-base-10-to-calculate-vortex-sum-of-different-number-systems</link><guid isPermaLink="true">http://direct.ecency.com/hive-111030/@mes/using-base-10-to-calculate-vortex-sum-of-different-number-systems</guid><category><![CDATA[hive-111030]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Fri, 28 Nov 2025 05:16:57 GMT</pubDate><enclosure url="https://images.ecency.com/p/FUkUE5bzkAZSUQtscfU67XyuspKfVPvhJ6PgMwaumQRFSqc8YzUHX1PkSVPq2dgTHUyhjh4fxBMAVn6JpuSsBzvXjMbvuECJbbQ1uYCgUnyMkbJmWQs49UFhu1G3opYPUxhPVJqeuVdNpLbS3G8Qisbb1iXugLgcsRBm?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Using Base 10 to Calculate Vortex Sum of Different Number Systems]]></title><description><![CDATA[In this video I show that the vortex digit sum (summing the digits until we obtain 1 digit) for any base number system can be obtained quickly by using the default Base 10 Modulo function available in]]></description><link>http://direct.ecency.com/hive-128780/@mes/hflijzvv</link><guid isPermaLink="true">http://direct.ecency.com/hive-128780/@mes/hflijzvv</guid><category><![CDATA[hive-128780]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Fri, 28 Nov 2025 05:00:06 GMT</pubDate><enclosure url="https://images.ecency.com/p/99pyU5Ga1kwr5bsMXthzYLbcngN4W2P8NtU9TWTdHC3HaQbjuuRfKKVdjVcPuQ7ZN3RWaRnQgeXSKwPevsgSu6gHa187jjNip6VoNpzhNnQ2PtjnBjuFuJLn7jVuRU9ajQ?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Modulo Operation – Vortex Digit Sum is Equal to the Mod (base - 1)]]></title><description><![CDATA[In this video I go over the modulo operation which returns the remainder of a division between two numbers. For example 100 mod 9 = 1 because 100/9 = 99 + 1/9, hence 1 is the remainder. I then prove that]]></description><link>http://direct.ecency.com/hive-111030/@mes/modulo-operation-vortex-digit-sum-is-equal-to-the-mod-base-1</link><guid isPermaLink="true">http://direct.ecency.com/hive-111030/@mes/modulo-operation-vortex-digit-sum-is-equal-to-the-mod-base-1</guid><category><![CDATA[hive-111030]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Tue, 25 Nov 2025 18:00:06 GMT</pubDate><enclosure url="https://images.ecency.com/p/BgxWBRxjvNhnbM9Dipe2ZCkExrPnrSh6XZgCn7b4eotkeq8gxrG39uWAEG4Yb2YCK9VZAfdPAX5SU5pYAKXMbyP2zwKPh6LFaFWyqFmAkkftQMmCqxcexD1MPPkHrJj6qfJSP8iF8JhrBRyaU6QiE3TVx2vU88YtoaMTMkbz1dYLvEb?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Vortex Math: Summing Digits of a Number is the Remainder AND Repeating Digit of Division]]></title><description><![CDATA[In this video I show that not only is the vortex sum (summing of digits a number until 1 digit remains) is the remainder when dividing by the largest single digit, but this same number repeats indefinitely]]></description><link>http://direct.ecency.com/hive-111030/@mes/vortex-math-summing-digits-of-a-number-is-the-remainder-and-repeating-digit-of-division</link><guid isPermaLink="true">http://direct.ecency.com/hive-111030/@mes/vortex-math-summing-digits-of-a-number-is-the-remainder-and-repeating-digit-of-division</guid><category><![CDATA[hive-111030]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Wed, 12 Nov 2025 23:23:54 GMT</pubDate><enclosure url="https://images.ecency.com/p/2xVmzkbNCvpwrGAp45WKwgAaUaJnmHfvZ7RZqiyQWofSGyTTtrRkun2s8ST1YqoX8Ebf7M9g7SieXHoQYL3YMNsLMf1qFxVYbCQWhTU9Am5DDCrGK5oRGp5sEZpzyJvFG8HSeeK1UQr1z2HjZYLgASLb5dUQkhnpmeZgqEXZwnVpcqWFm1DoFhVSEYAYP1kFBkzBG8hD?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Vortex Math: Summing Digits of a Number is the Remainder AND Repeating Digit of Division]]></title><description><![CDATA[In this video I show that not only is the vortex sum (summing of digits a number until 1 digit remains) is the remainder when dividing by the largest single digit, but this same number repeats indefinitely]]></description><link>http://direct.ecency.com/hive-128780/@mes/qqftdckj</link><guid isPermaLink="true">http://direct.ecency.com/hive-128780/@mes/qqftdckj</guid><category><![CDATA[hive-128780]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Wed, 12 Nov 2025 23:10:06 GMT</pubDate><enclosure url="https://images.ecency.com/p/99pyU5Ga1kwr5bsMXthzYLbcngN4W2P8NtU9TWTdHC3HaQbjuuRfHesJoVydaeXH28gk1jHn5daMCWAdfA5vEk1v8QRdwC6pqYhUNckx3bHqGH7XuePaQGbZhw9nvPGSGn?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Vortex Math: Summing the Digits of a Number is just the Remainder]]></title><description><![CDATA[In this video I show that the "vortex sum" of a number (summing up the digits until obtaining a single digit is obtained) is just the remainder when dividing the number by 9. I go over a couple]]></description><link>http://direct.ecency.com/hive-111030/@mes/vortex-math-summing-the-digits-of-a-number-is-just-the-remainder</link><guid isPermaLink="true">http://direct.ecency.com/hive-111030/@mes/vortex-math-summing-the-digits-of-a-number-is-just-the-remainder</guid><category><![CDATA[hive-111030]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Mon, 10 Nov 2025 23:21:54 GMT</pubDate><enclosure url="https://images.ecency.com/p/3ejZQFLqXedKXKhURdjx14Sr8NSYZmTdw2HQuQXkeUsn4X1LM6CBB675LhzJjnh9tXtxSjC2qfNoGsEanQareeMmprdEzNo925EvZZVc8hfWCWLfnrr6oL9QfsNNCSMKFcESK1t8rP3BV62jW38gLT1SerWLvkm7RshrC8yyMTH88MRjBp4Trcp4WsstT?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Vortex Math: Summing the Digits of a Number is just the Remainder]]></title><description><![CDATA[In this video I show that the "vortex sum" of a number (summing up the digits until obtaining a single digit is obtained) is just the remainder when dividing the number by 9. I go over a couple]]></description><link>http://direct.ecency.com/hive-128780/@mes/spfsoade</link><guid isPermaLink="true">http://direct.ecency.com/hive-128780/@mes/spfsoade</guid><category><![CDATA[hive-128780]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Mon, 10 Nov 2025 23:10:09 GMT</pubDate><enclosure url="https://images.ecency.com/p/99pyU5Ga1kwr5bsMXthzYLbcngN4W2P8NtU9TWTdHC3HaQbjuuRfHesJoVxbKezFp4kdTjdyYKs3FWyAiiAMSnk1x4SmKj2nE7tSiSiwGEsfenthE8sfMcDma9JEGVMWzr?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Converting between Hexadecimal, Binary, and Decimal Number Systems]]></title><description><![CDATA[Converting between Hexadecimal, Binary, and Decimal Number Systems In this video I go over the hexadecimal (or base sixteen) number system and show how to convert it to binary (base two) and decimal (base]]></description><link>http://direct.ecency.com/hive-111030/@mes/converting-between-hexadecimal-binary-and-decimal-number-systems</link><guid isPermaLink="true">http://direct.ecency.com/hive-111030/@mes/converting-between-hexadecimal-binary-and-decimal-number-systems</guid><category><![CDATA[hive-111030]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Thu, 06 Nov 2025 23:32:48 GMT</pubDate><enclosure url="https://images.ecency.com/p/BgxWBRxjvNhnbM9Dipe2ZCkExrPnrSh6XZgCn7b4eotkeq8gxrG39uWJ6dSXqHx3MALMQd6Qucq1SZN29KubWomMjDRG6zkJ6ZQPZCgX7FotJd7FdHeaFWdiU1QvzEPf37pBU6CB6xdYco3fUFUsnGLiryoweTLqFebgQ2yr3PWdboD?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Converting Between Different Number Systems]]></title><description><![CDATA[In this video I show how to convert between different base number systems by first writing the number in its equivalent base exponential addition form, and then changing the base. For example, converting]]></description><link>http://direct.ecency.com/hive-128780/@mes/mxyppsmx</link><guid isPermaLink="true">http://direct.ecency.com/hive-128780/@mes/mxyppsmx</guid><category><![CDATA[hive-128780]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Tue, 04 Nov 2025 23:40:06 GMT</pubDate><enclosure url="https://images.ecency.com/p/99pyU5Ga1kwr5bsMXthzYLbcngN4W2P8NtU9TWTdHC3HaQbjuuRfHesJoVwXtQ2kH543J6t5LSm5T9qmnGtqDrTCedAiuBBqEt42tF5ZrE8w2BPB19WSP6USYn6NV9aSN2?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[The Number 0 and 10 in General Number Systems]]></title><description><![CDATA[In this video I go over a quick overview of number systems, and show how the base or radix (Latin for "root") serves as the transition point when counting past the single digits. For example,]]></description><link>http://direct.ecency.com/hive-128780/@mes/tpvefroy</link><guid isPermaLink="true">http://direct.ecency.com/hive-128780/@mes/tpvefroy</guid><category><![CDATA[hive-128780]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Mon, 03 Nov 2025 23:20:06 GMT</pubDate><enclosure url="https://images.ecency.com/p/99pyU5Ga1kwr5bsMXthzYLbcngN4W2P8NtU9TWTdHC3HaQbjuuRfHesJoVvQMRxJBVsJmHCuz3BMPZLuEChRtGLHdY7Q5JhhH4tGj6c8aANKxgm7uZzW85xqtiQk6eFhfL?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[MES Math Q/A 37: What is Vortex Math?]]></title><description><![CDATA[If you have math related questions, I may have answers. September 24, 2025 Wednesday at 10:00 AM PST #math #science #vortexmath #rodincoil #modulararithmetic Summary: MES Math Q/A playlist: All Streams:]]></description><link>http://direct.ecency.com/hive-128780/@mes/blguyhjz</link><guid isPermaLink="true">http://direct.ecency.com/hive-128780/@mes/blguyhjz</guid><category><![CDATA[hive-128780]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Thu, 25 Sep 2025 21:15:06 GMT</pubDate><enclosure url="https://images.ecency.com/p/99pyU5Ga1kwr5bsMXthzYLbcngN4W2P8NtU9TWTdHC3HaQbjuuRfHesJoVwGkbWUagrFekA1y6GpnFh6x86hkVAARAN57CqSzANcrHsbgKpxRYKZYQkEGydbuJpYGzNwzv?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Exercise 4: Parametric Equations of a Trochoid]]></title><description><![CDATA[In this video I derive the parametric equations of a trochoid, which is the shape obtained by tracing a point as a circle rotates. If the point traced is on the circle itself, then the shape is the famous]]></description><link>http://direct.ecency.com/hive-111030/@mes/exercise-4-parametric-equations-of-a-trochoid</link><guid isPermaLink="true">http://direct.ecency.com/hive-111030/@mes/exercise-4-parametric-equations-of-a-trochoid</guid><category><![CDATA[hive-111030]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Wed, 09 Jul 2025 23:40:15 GMT</pubDate><enclosure url="https://images.ecency.com/p/2dk2RRM2dZ8gG2NWUA1Si8uQVuafUvSygay9VsRhqFpPwzrjmHrbE6xMhJrJj26BNdgumQiG8rDtmuAESDrbx41U65D11mzpNhAvVFHdfCK1fHBHKeC3quoXSCg8Ec6dXEWhciABgBWAz4De9wAiYXgtahXDZiHadCzKT4Jo9H?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Exercise 4: Parametric Equations of a Trochoid]]></title><description><![CDATA[In this video I derive the parametric equations of a trochoid, which is the shape obtained by tracing a point as a circle rotates. If the point traced is on the circle itself, then the shape is the famous]]></description><link>http://direct.ecency.com/hive-128780/@mes/ndykmfiu</link><guid isPermaLink="true">http://direct.ecency.com/hive-128780/@mes/ndykmfiu</guid><category><![CDATA[hive-128780]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Wed, 09 Jul 2025 03:35:06 GMT</pubDate><enclosure url="https://images.ecency.com/p/99pyU5Ga1kwr5bsMXthzYLbcngN4W2P8NtU9TWTdHC3HaQbjuuRfHesJoVxar87hZJwrxeYDiy6aQ4s86GCFhHXuaAFxTEFDQcqvDbXThmgRRT21rMYs4EA8cb2kp9zr6a?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Exercise 3: Manually Graphing the Projection of the Trefoil Knot onto the xy-Plane]]></title><description><![CDATA[In this video I manually (and painstakingly) plot an approximation of the projection of the 3D trefoil knot onto the xy-plane. I also plot the trefoil knot in 3D using the amazing GeoGebra graphing calculator]]></description><link>http://direct.ecency.com/hive-111030/@mes/exercise-3-manually-graphing-the-projection-of-the-trefoil-knot-onto-the-xy-plane</link><guid isPermaLink="true">http://direct.ecency.com/hive-111030/@mes/exercise-3-manually-graphing-the-projection-of-the-trefoil-knot-onto-the-xy-plane</guid><category><![CDATA[hive-111030]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Tue, 08 Jul 2025 04:10:57 GMT</pubDate><enclosure url="https://images.ecency.com/p/2CwnDyeL7SRXDBVj6Mv9E1ywiCUQYqtApawXC2GYmQVWd3WHkD4BbLx9WiiS81PveKVSjLECxktD3BNxczmkkDytzWvVnV1ecWZNh4LLWQ2AuwRFMy5mdWmi9axqAiwnBv4Aa4yz9NjTXepmMqskyLuVWyFomaKnrWc1im7PG79xTCNTK3rTy?format=match&amp;mode=fit" length="0" type="false"/></item></channel></rss>