{"id":5298,"date":"2023-08-12T17:40:57","date_gmt":"2023-08-12T16:40:57","guid":{"rendered":"http:\/\/mosaic-modeling.de\/?page_id=5298"},"modified":"2025-09-19T20:23:45","modified_gmt":"2025-09-19T19:23:45","slug":"use-of-connectors-ii-naming-policy-integrate-with-all-connected-equation-systems-using-a-different-notation-than-the-desired-one","status":"publish","type":"page","link":"https:\/\/mosaic-modeling.de\/?page_id=5298","title":{"rendered":"Use of Connectors II &#8211; Naming Policy &#8216;integrate&#8217; with All Connected Equation Systems using a Different Notation"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">On this page<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5298\/#Model-description\" >Model description<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5298\/#Workflow\" >Workflow<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5298\/#Super-notation\" >Super notation<\/a><ul class='ez-toc-list-level-5' ><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5298\/#Base-names\" >Base names<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5298\/#Indices\" >Indices<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5298\/#Equations\" >Equations<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5298\/#Connectors\" >Connectors<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5298\/#Equation-system\" >Equation system<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5298\/#Evaluation-Simulation\" >Evaluation \/ Simulation<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mosaic-modeling.de\/?page_id=5298\/#Initialization-and-results\" >Initialization and results<\/a><\/li><\/ul><\/nav><\/div>\n<p style=\"text-align: justify;\">This example is the most general (but also rarest) case: all connected sub elements use notations different from the super notation.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Model-description\"><\/span>Model description<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>In this example, we want to solve the following equation system:<\/p>\n<p style=\"text-align: justify;\"><p class=\"ql-left-displayed-equation\" style=\"line-height: 61px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-41caf38fd34017bbce23ffe05329fdc6_l3.png\" height=\"61\" width=\"173\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125; &#38;&#122;&#95;&#123;&#107;&#61;&#49;&#125;&#32;&#43;&#32;&#65;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#122;&#95;&#123;&#107;&#61;&#50;&#125;&#32;&#61;&#32;&#66;&#32;&#92;&#92;&#91;&#50;&#101;&#120;&#93;&#38;&#67;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#122;&#95;&#123;&#107;&#61;&#50;&#125;&#94;&#123;&#50;&#125;&#32;&#61;&#32;&#45;&#68;&#32;&#43;&#32;&#122;&#95;&#123;&#107;&#61;&#49;&#125;&#46; &#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n<p>This is the same equation system as in example I on connectors, but with a third notation.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Workflow\"><\/span>Workflow<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>We now present the workflow for formulating an equation system with a new super notation in the case in which all sub-elements have their own notation.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Super-notation\"><\/span>Super notation<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Set up the new super notation with the following base names and indices:<\/p>\n<h5 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Base-names\"><\/span>Base names<span class=\"ez-toc-section-end\"><\/span><\/h5>\n<ul>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-816b613a4f79d4bf9cb51396a9654120_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"\/>, parameter 1<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-c74288aabc0e2ca280d25d92bf1a1ec2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>, parameter 2<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-ed12970f60569db1dfd9f13289854a0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>, parameter 3<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-c10ec9debc8ec5dce4c3c5887557202d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#68;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"\/>, parameter 4<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-ec5583fa081a1e03212c151e3c222412_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#122;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/>, variable<\/li>\n<\/ul>\n<h5><span class=\"ez-toc-section\" id=\"Indices\"><\/span>Indices<span class=\"ez-toc-section-end\"><\/span><\/h5>\n<ul>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/>, index 1&#8230;NK<\/li>\n<\/ul>\n<p>The resulting notation has ID 182746.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Equations\"><\/span>Equations<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Use the same equations as in example I for connectors. These equations have the IDs 182732 and 182733.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Connectors\"><\/span>Connectors<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Now it is necessary to create two connectors. Go to the Connector tab and proceed as follows:<\/p>\n<ol>\n<li>Add a helpful description for the connector<\/li>\n<li>Activate the tab Edit Matching. You see two sections: one for the Sub Notation and one for the Super Notation. Both sections contain a field to import the notation<\/li>\n<li>In the section for the Sub Notation, press the Import button and select the notation of the colleague, then confirm. Alternatively, you can select Import Notation from Connected Element and select the equation of the colleague. This automatically adds all variables used in this equation<\/li>\n<li>Add the new super notation as Super Notation. As there is no analogous equation available, you need to select Import Notation directly<\/li>\n<li>Generate the missing variables for the Sub Notation and the Super Notation, i.e.,\n<ul>\n<li>Sub Notation: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#105;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-0e55b0b3943237ccfc96979505679274_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-ad69adf868bc701e561aa555db995f1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"\/><\/li>\n<li>Super Notation: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-49278cb79bd094d45d9213355e619d30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#122;&#95;&#123;&#107;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-816b613a4f79d4bf9cb51396a9654120_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-c74288aabc0e2ca280d25d92bf1a1ec2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/><\/li>\n<\/ul>\n<\/li>\n<li>Select the analogous variables and click on Match to achieve the following matching:\n<ul>\n<li style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-933f728ae30c23a4fa00b8c90368104b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#105;&#32;&#92;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#32;&#122;&#95;&#123;&#107;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"58\" style=\"vertical-align: -3px;\"\/><\/li>\n<li style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-d10c69ecd20904ae99c9548079e14d51_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#92;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#32;&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"50\" style=\"vertical-align: -1px;\"\/><\/li>\n<li style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-634b1497b0eb3ecb521f4a306c87fb28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;&#32;&#92;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#32;&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"49\" style=\"vertical-align: -1px;\"\/><\/li>\n<\/ul>\n<\/li>\n<li>Make sure by clicking on the pair <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-30ed6c028c06ad1278d7b3af46a4326e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#105;&#59;&#32;&#122;&#95;&#107;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"39\" style=\"vertical-align: -4px;\"\/> to check whether the Index Matching was successful. The Sub index <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-31318c5dcb226c69e0818e5f7d2422b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#105;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"\/> should have been matched with the Super index <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/><\/li>\n<li>Save the connector<\/li>\n<li>Repeat these steps for a new connector that connects the user notation and the new super notation. The variables in this case are:\n<ul>\n<li>Sub Notation: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-2e6bf22fb9684073f80d41445f6b47a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#106;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"15\" style=\"vertical-align: -6px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-7b9abe136d2f0d53300727f373cfed43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#103;&#97;&#109;&#109;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-2efdda5160c474b96fc6cbe01fa602a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#101;&#108;&#116;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"8\" style=\"vertical-align: 0px;\"\/><\/li>\n<li>Super Notation: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-49278cb79bd094d45d9213355e619d30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#122;&#95;&#123;&#107;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-ed12970f60569db1dfd9f13289854a0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-c10ec9debc8ec5dce4c3c5887557202d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#68;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"\/><\/li>\n<\/ul>\n<\/li>\n<li>The resultung match must be:\n<ul>\n<li style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-bb5b07809cf8c72783cbf70f3429d1ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#106;&#32;&#92;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#32;&#122;&#95;&#123;&#107;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"58\" style=\"vertical-align: -6px;\"\/><\/li>\n<li style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-e489671a22d56c56b4f3132ce1229b33_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#103;&#97;&#109;&#109;&#97;&#32;&#92;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#32;&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"52\" style=\"vertical-align: -4px;\"\/><\/li>\n<li style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-c3a6bdb1661a5a0e07746c8a6332ac40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#101;&#108;&#116;&#97;&#32;&#92;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#32;&#68;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"51\" style=\"vertical-align: -1px;\"\/><\/li>\n<\/ul>\n<\/li>\n<li>Verify the correct setup of the connector and save it<\/li>\n<\/ol>\n<p>The connectors are available with IDs 182744 and 182745. Figure 1 illustrates how both equations are combined to one equation system.<\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/mosaic-modeling.de\/wp-content\/uploads\/2012\/11\/figure-3.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-577 size-full\" src=\"http:\/\/mosaic-modeling.de\/wp-content\/uploads\/2012\/11\/figure-3.jpg\" alt=\"figure 3\" width=\"648\" height=\"339\" srcset=\"https:\/\/mosaic-modeling.de\/wp-content\/uploads\/2012\/11\/figure-3.jpg 648w, https:\/\/mosaic-modeling.de\/wp-content\/uploads\/2012\/11\/figure-3-300x156.jpg 300w, https:\/\/mosaic-modeling.de\/wp-content\/uploads\/2012\/11\/figure-3-100x52.jpg 100w, https:\/\/mosaic-modeling.de\/wp-content\/uploads\/2012\/11\/figure-3-150x78.jpg 150w\" sizes=\"auto, (max-width: 648px) 100vw, 648px\" \/><\/a><\/p>\n<p style=\"text-align: center;\">Figure 1: Graph of the variable interpretation.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Equation-system\"><\/span>Equation system<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>To construct the equation system, go to the Equation System tab and take the following steps.<\/p>\n<ol style=\"text-align: justify;\">\n<li>Load the user equation from example I with the connector user notation <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-76319e471bb0c08bfa33603fd4f71eb2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;\" title=\"Rendered by QuickLaTeX.com\" height=\"10\" width=\"17\" style=\"vertical-align: -1px;\"\/> super notation<\/li>\n<li>Load the colleague&#8217;s equation from example I with the connector colleague notation <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-76319e471bb0c08bfa33603fd4f71eb2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;\" title=\"Rendered by QuickLaTeX.com\" height=\"10\" width=\"17\" style=\"vertical-align: -1px;\"\/> super notation<\/li>\n<li>Save the equation system; should a warning appear because the notation of the equation is different from the equation system&#8217;s notation, acknowledge it. If you did everything as described, there will be no problem as you used a connector<\/li>\n<\/ol>\n<p>The equation system has ID 182746.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Evaluation-Simulation\"><\/span>Evaluation \/ Simulation<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Go to the &#8220;Simulation&#8221; section and do the following:<\/p>\n<ol>\n<li>Load your equation system in the tab Equation System<\/li>\n<li>Set the maximum Value NK to 2 in the tab Indexing<\/li>\n<li>Go to the tab Specifications<\/li>\n<li>Assign the variables <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-816b613a4f79d4bf9cb51396a9654120_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-c74288aabc0e2ca280d25d92bf1a1ec2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-ed12970f60569db1dfd9f13289854a0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>, and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-c10ec9debc8ec5dce4c3c5887557202d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#68;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"\/> as design values<\/li>\n<li>Assign the variables <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-5ed64e45352c0f7ae2b5e18ce95cd376_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#122;&#95;&#123;&#107;&#61;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"33\" style=\"vertical-align: -3px;\"\/> and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-59c920d33f17db69c47975fa93ea0679_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#122;&#95;&#123;&#107;&#61;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"34\" style=\"vertical-align: -3px;\"\/> as iteration values<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"Initialization-and-results\"><\/span>Initialization and results<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>To initialize and specify the model, take the following steps:<\/p>\n<ol>\n<li><span style=\"font-size: revert; color: initial;\">Initialize this example with the design values and initial guesses given in Table 1<\/span><\/li>\n<li><span style=\"font-size: revert; color: initial;\">Save the variable specification\u00a0<\/span><\/li>\n<li>Save the simulation<\/li>\n<li>Go to the Evaluation tab and generate the code for your preferred environment<\/li>\n<li>Solve the system using the generated code<\/li>\n<\/ol>\n<p>This simulation is available with ID 182748 with variable specification 182749. The solution for all iteration variables is also given in Table 1.<\/p>\n\n\n<figure class=\"wp-block-table is-style-stripes has-small-font-size\"><table><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">Name<\/th><th class=\"has-text-align-left\" data-align=\"left\">Description<\/th><th class=\"has-text-align-left\" data-align=\"left\">Value \/ Initial guess<\/th><th class=\"has-text-align-left\" data-align=\"left\">Solution<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-816b613a4f79d4bf9cb51396a9654120_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Parameter 1<\/td><td class=\"has-text-align-left\" data-align=\"left\">3<\/td><td class=\"has-text-align-left\" data-align=\"left\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-c74288aabc0e2ca280d25d92bf1a1ec2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Parameter 2<\/td><td class=\"has-text-align-left\" data-align=\"left\">3<\/td><td class=\"has-text-align-left\" data-align=\"left\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-ed12970f60569db1dfd9f13289854a0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Parameter 3<\/td><td class=\"has-text-align-left\" data-align=\"left\">2<\/td><td class=\"has-text-align-left\" data-align=\"left\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-c10ec9debc8ec5dce4c3c5887557202d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#68;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Parameter 4<\/td><td class=\"has-text-align-left\" data-align=\"left\">2<\/td><td class=\"has-text-align-left\" data-align=\"left\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-5ed64e45352c0f7ae2b5e18ce95cd376_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#122;&#95;&#123;&#107;&#61;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"33\" style=\"vertical-align: -3px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Variable 1<\/td><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\">2.158<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-59c920d33f17db69c47975fa93ea0679_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#122;&#95;&#123;&#107;&#61;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"34\" style=\"vertical-align: -3px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Variable 2<\/td><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.281<\/td><\/tr><\/tbody><\/table><figcaption class=\"wp-element-caption\">Table 1: Overview of parameter values, initial guesses, and the solution.<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>This example is the most general (but also rarest) case: all connected sub elements use notations different from the super notation. Model description In this example, we want to solve the following equation system: &nbsp; &nbsp; This is the same equation system as in example I on connectors, but with a third notation. Workflow We [&hellip;]<\/p>\n","protected":false},"author":252,"featured_media":0,"parent":4741,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-5298","page","type-page","status-publish","czr-hentry"],"_links":{"self":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/5298","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/users\/252"}],"replies":[{"embeddable":true,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5298"}],"version-history":[{"count":10,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/5298\/revisions"}],"predecessor-version":[{"id":6226,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/5298\/revisions\/6226"}],"up":[{"embeddable":true,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/4741"}],"wp:attachment":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5298"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}