{"id":5392,"date":"2023-09-19T12:13:12","date_gmt":"2023-09-19T10:13:12","guid":{"rendered":"https:\/\/www.dynamotion.it\/software\/simulation-software\/"},"modified":"2023-10-11T16:33:24","modified_gmt":"2023-10-11T14:33:24","slug":"simulation-software","status":"publish","type":"page","link":"https:\/\/www.dynamotion.it\/en\/software\/simulation-software\/","title":{"rendered":"Simulation Software"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"5392\" class=\"elementor elementor-5392 elementor-3523\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f04f03d elementor-section-height-min-height elementor-section-boxed elementor-section-height-default elementor-section-items-middle\" data-id=\"f04f03d\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-bf09d51\" data-id=\"bf09d51\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-581bbc0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"581bbc0\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-b5c4301\" data-id=\"b5c4301\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c036188 elementor-widget elementor-widget-heading\" data-id=\"c036188\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Simulation Software<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8ef9f25 elementor-align-center elementor-widget elementor-widget-global elementor-global-4812 elementor-widget-breadcrumbs\" data-id=\"8ef9f25\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"breadcrumbs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p id=\"breadcrumbs\"><span><span><a href=\"https:\/\/www.dynamotion.it\/en\/\">Home<\/a><\/span><\/span><\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-72289904 elementor-section-full_width servizi elementor-section-height-default elementor-section-height-default\" data-id=\"72289904\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1d130b7c\" data-id=\"1d130b7c\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-68cc4247 elementor-reverse-tablet elementor-reverse-mobile elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"68cc4247\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-5c6baa0\" data-id=\"5c6baa0\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-844bf2c elementor-widget elementor-widget-image\" data-id=\"844bf2c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"1000\" height=\"750\" src=\"https:\/\/www.dynamotion.it\/wp-content\/uploads\/2023\/09\/dynamotion-software-simulazione-calcolo.webp\" class=\"attachment-full size-full wp-image-4404\" alt=\"\" srcset=\"https:\/\/www.dynamotion.it\/wp-content\/uploads\/2023\/09\/dynamotion-software-simulazione-calcolo.webp 1000w, https:\/\/www.dynamotion.it\/wp-content\/uploads\/2023\/09\/dynamotion-software-simulazione-calcolo-300x225.webp 300w, https:\/\/www.dynamotion.it\/wp-content\/uploads\/2023\/09\/dynamotion-software-simulazione-calcolo-768x576.webp 768w\" sizes=\"(max-width: 1000px) 100vw, 1000px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-40ed3dbf\" data-id=\"40ed3dbf\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8e56de0 elementor-widget elementor-widget-heading\" data-id=\"8e56de0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Dynamotion develops algorithms for the simulation, optimization and control of machines. <\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-add70e4 elementor-widget elementor-widget-text-editor\" data-id=\"add70e4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">When developing a product with specific dynamic features, simulation software can foresee its behavior from the <strong>very beginning of the development process<\/strong>. Existing commercial multiphysics simulation software are rather powerful, but they require a level of detail and information which, in the first steps of the development, cannot be known. <\/span><span style=\"color: var( --e-global-color-text ); font-family: var( --e-global-typography-text-font-family ), Sans-serif; background-color: transparent;\">Moreover, if your system interacts with third-party mechanisms and you do not have all the detailed information, a lumped-parameter model is faster and easier to use. <strong>Vibrations, resonance or noise generation problems can be evaluated<\/strong> and managed from the beginning of the project.<\/span><\/p>\n<p>Dynamotion develops models starting from the physical aspect of the system (so called \u2018first-principles models\u2019), merging them with the experimental data available from the customer, or planning and performing specific measurement campaigns when necessary. <span style=\"color: var( --e-global-color-text ); font-family: var( --e-global-typography-text-font-family ), Sans-serif; font-weight: var( --e-global-typography-text-font-weight );\">In many cases it is possible to take advantage of tax reliefs or public founds for innovation or digitalization. <\/span><span style=\"font-weight: 400;\"><br \/><\/span><\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-cda6a0e elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"cda6a0e\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0e06d85\" data-id=\"0e06d85\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-acdb98c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"acdb98c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-6290cc1\" data-id=\"6290cc1\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b657f90 elementor-widget elementor-widget-heading\" data-id=\"b657f90\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">For further information, or if you\u2019re looking for similar, custom-made software<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-06f6a90\" data-id=\"06f6a90\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-86eba09 elementor-align-center elementor-tablet-align-right elementor-mobile-align-left elementor-widget elementor-widget-button\" data-id=\"86eba09\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/www.dynamotion.it\/en\/contacts\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">contact us<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5b5b7ea elementor-hidden-desktop elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5b5b7ea\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1798d4fc\" data-id=\"1798d4fc\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-4306a81b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4306a81b\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-181dc2c3\" data-id=\"181dc2c3\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-33cfcd82 elementor-widget elementor-widget-heading\" data-id=\"33cfcd82\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Our software<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-239d03dc\" data-id=\"239d03dc\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-377aa634 elementor-widget elementor-widget-nav-menu\" data-id=\"377aa634\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;layout&quot;:&quot;dropdown&quot;,&quot;submenu_icon&quot;:{&quot;value&quot;:&quot;&lt;i class=\\&quot;fas fa-caret-down\\&quot; aria-hidden=\\&quot;true\\&quot;&gt;&lt;\\\/i&gt;&quot;,&quot;library&quot;:&quot;fa-solid&quot;}}\" data-widget_type=\"nav-menu.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<nav class=\"elementor-nav-menu--dropdown elementor-nav-menu__container\" aria-hidden=\"true\">\n\t\t\t\t<ul id=\"menu-2-377aa634\" class=\"elementor-nav-menu\"><li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-5623\"><a href=\"https:\/\/www.dynamotion.it\/en\/software\/fastbike-software\/\" class=\"elementor-item\" tabindex=\"-1\">FastBike software<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-5624\"><a href=\"https:\/\/www.dynamotion.it\/en\/software\/msa-motorcycle-stability-analysis\/\" class=\"elementor-item\" tabindex=\"-1\">MSA Motorcycle Stability Analysis<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-5625\"><a href=\"https:\/\/www.dynamotion.it\/en\/software\/oms-minimum-lap-time-software\/\" class=\"elementor-item\" tabindex=\"-1\">OMS Minimum Lap Time Software<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-5622\"><a href=\"https:\/\/www.dynamotion.it\/en\/software\/data-acquisition-data-analysis\/\" class=\"elementor-item\" tabindex=\"-1\">Data acquisition &amp; Data Analysis<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-5626\"><a href=\"https:\/\/www.dynamotion.it\/en\/software\/simulation-software\/\" class=\"elementor-item\" tabindex=\"-1\">Simulation Software<\/a><\/li>\n<\/ul>\t\t\t<\/nav>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Dynamotion develops algorithms for the simulation, optimization and control of machines. When developing a product with specific dynamic features, simulation software can foresee its behavior from the very beginning of the development process. Existing commercial multiphysics simulation software are rather powerful, but they require a level of detail and information which, in the first steps [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":5334,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-5392","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Simulation Software - Dynamotion<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.dynamotion.it\/en\/software\/simulation-software\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Simulation Software - Dynamotion\" \/>\n<meta property=\"og:description\" content=\"Dynamotion develops algorithms for the simulation, optimization and control of machines. When developing a product with specific dynamic features, simulation software can foresee its behavior from the very beginning of the development process. Existing commercial multiphysics simulation software are rather powerful, but they require a level of detail and information which, in the first steps [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.dynamotion.it\/en\/software\/simulation-software\/\" \/>\n<meta property=\"og:site_name\" content=\"Dynamotion\" \/>\n<meta property=\"article:modified_time\" content=\"2023-10-11T14:33:24+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.dynamotion.it\/wp-content\/uploads\/2023\/09\/dynamotion-software-simulazione-calcolo.webp\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.dynamotion.it\\\/en\\\/software\\\/simulation-software\\\/\",\"url\":\"https:\\\/\\\/www.dynamotion.it\\\/en\\\/software\\\/simulation-software\\\/\",\"name\":\"Simulation Software - Dynamotion\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.dynamotion.it\\\/en\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/www.dynamotion.it\\\/en\\\/software\\\/simulation-software\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/www.dynamotion.it\\\/en\\\/software\\\/simulation-software\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.dynamotion.it\\\/wp-content\\\/uploads\\\/2023\\\/09\\\/dynamotion-software-simulazione-calcolo.webp\",\"datePublished\":\"2023-09-19T10:13:12+00:00\",\"dateModified\":\"2023-10-11T14:33:24+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.dynamotion.it\\\/en\\\/software\\\/simulation-software\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.dynamotion.it\\\/en\\\/software\\\/simulation-software\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/www.dynamotion.it\\\/en\\\/software\\\/simulation-software\\\/#primaryimage\",\"url\":\"https:\\\/\\\/www.dynamotion.it\\\/wp-content\\\/uploads\\\/2023\\\/09\\\/dynamotion-software-simulazione-calcolo.webp\",\"contentUrl\":\"https:\\\/\\\/www.dynamotion.it\\\/wp-content\\\/uploads\\\/2023\\\/09\\\/dynamotion-software-simulazione-calcolo.webp\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.dynamotion.it\\\/en\\\/software\\\/simulation-software\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/www.dynamotion.it\\\/en\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Software\",\"item\":\"https:\\\/\\\/www.dynamotion.it\\\/en\\\/software\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Simulation Software\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.dynamotion.it\\\/en\\\/#website\",\"url\":\"https:\\\/\\\/www.dynamotion.it\\\/en\\\/\",\"name\":\"Dynamotion\",\"description\":\"We provide answers and solutions to innovative projects relating to vehicle dynamics.\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.dynamotion.it\\\/en\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Simulation Software - Dynamotion","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.dynamotion.it\/en\/software\/simulation-software\/","og_locale":"en_US","og_type":"article","og_title":"Simulation Software - Dynamotion","og_description":"Dynamotion develops algorithms for the simulation, optimization and control of machines. 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