{"id":835,"date":"2023-02-11T09:01:33","date_gmt":"2023-02-11T09:01:33","guid":{"rendered":"https:\/\/www.goodacademic.com\/blog\/questions\/discussion-reply-taylor-series\/"},"modified":"2023-02-11T09:01:33","modified_gmt":"2023-02-11T09:01:33","slug":"discussion-reply-taylor-series","status":"publish","type":"questions","link":"https:\/\/www.goodacademic.com\/blog\/questions\/discussion-reply-taylor-series\/","title":{"rendered":"Discussion Reply  Taylor series"},"content":{"rendered":"<p>&nbsp;<\/p>\n<p>It is no secret that robots have become a&nbsp;common staple of the factory floor. &nbsp;With the ability to attach nearly unlimited custom grippers, and &nbsp;collaborative robots that don\u2019t require safety guarding,&nbsp;robots are &nbsp;finding their way into more and more applications every year. Being able &nbsp;to program a robot to make smooth, quick, and safe movements requires &nbsp;an&nbsp;understanding of how a robot can be commanded to move &nbsp;from point A to point B. I deal with robots every day; we integrate our &nbsp;machines with Fanuc robots to create casepackers and CEL-5s for your &nbsp;everyday use medicines such as Tylenol. How we do such a thing? Products &nbsp;come down a conveyor and we use servos to make a collation so our Fanuc &nbsp;robots can pick them up and put them in boxes. Below is a video of one a &nbsp;couple of our&nbsp;machines.<\/p>\n<p><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/www.youtube.com\/watch?v=wuEt-cx277c\">Vertical Robotic RSC Case Packers &#8211; YouTube&nbsp;<\/a><\/p>\n<p><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/www.youtube.com\/watch?v=wuEt-cx277c\">&nbsp;Links to an external site.<\/a><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/www.youtube.com\/watch?v=wuEt-cx277c\"> <\/a><img loading=\"lazy\" src=\"https:\/\/ecpi.instructure.com\/images\/play_overlay.png\" width=\"140\" height=\"100\" \/><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/www.youtube.com\/watch?v=wuEt-cx277c\">&nbsp;<\/a><\/p>\n<p>In&nbsp;mathematics, the&nbsp;Taylor series&nbsp;or&nbsp;Taylor expansion&nbsp;of &nbsp;a&nbsp;function&nbsp;is an&nbsp;infinite sum&nbsp;of terms that are expressed in terms of &nbsp;the function&#8217;s&nbsp;derivatives&nbsp;at a single point. For most common functions, &nbsp;the function and the sum of its Taylor series are equal near this &nbsp;point.<\/p>\n<p><img alt=\"taylor series.png\" src=\"https:\/\/ecpi.instructure.com\/users\/123528\/files\/23306125\/preview?verifier=SnmaWXror5FpIDOxa7uF5UKVvzavT79qjRx9rZjr\" \/><\/p>\n<p><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/www.youtube.com\/watch?v=a58otkmkHtk\">Taylor and Maclaurin Series &#8211; YouTube&nbsp;<\/a><\/p>\n<p><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/www.youtube.com\/watch?v=a58otkmkHtk\">&nbsp;Links to an external site.<\/a><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/www.youtube.com\/watch?v=a58otkmkHtk\"> <\/a><img loading=\"lazy\" src=\"https:\/\/ecpi.instructure.com\/images\/play_overlay.png\" width=\"140\" height=\"100\" \/><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/www.youtube.com\/watch?v=a58otkmkHtk\">&nbsp;<\/a><\/p>\n<p>References<\/p>\n<p>&nbsp;Dietrich, S. December 29, 2022. Robot Motion Command Types: Understanding Linear, Joint, and Arc Movement <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/control.com\/technical-articles\/robot-motion-command-typesexplained\/#:~:text=Types%20of%20Robot%20Movement%20There%20are%20three%20primary,the%20major%20determining%20factor%20for%20each%20move%20type.\">Robot Motion Command Types: Understanding Linear, Joint, and Arc Movement &#8211; Technical Articles (control.com)&nbsp;<\/a><\/p>\n<p><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/control.com\/technical-articles\/robot-motion-command-typesexplained\/#:~:text=Types%20of%20Robot%20Movement%20There%20are%20three%20primary,the%20major%20determining%20factor%20for%20each%20move%20type.\">&nbsp;Links to an external site.<\/a><\/p>\n<p><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/en.wikipedia.org\/wiki\/Taylor_series#:~:text=In%20mathematics%2C%20the%20Taylor%20series%20or%20Taylor%20expansion,after%20Brook%20Taylor%2C%20who%20introduced%20them%20in%201715.\">Taylor series &#8211; Wikipedia&nbsp;<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; It is no secret that robots have become a&nbsp;common staple of the factory floor. &nbsp;With the ability to attach nearly unlimited custom grippers, and &nbsp;collaborative robots that don\u2019t require safety guarding,&nbsp;robots are &nbsp;finding their way into more and more applications every year. Being able &nbsp;to program a robot to make smooth, quick, and safe [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":[],"disciplines":[221],"paper_types":[],"tagged":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions\/835"}],"collection":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions"}],"about":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/types\/questions"}],"author":[{"embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/comments?post=835"}],"version-history":[{"count":0,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions\/835\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/media?parent=835"}],"wp:term":[{"taxonomy":"disciplines","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/disciplines?post=835"},{"taxonomy":"paper_types","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/paper_types?post=835"},{"taxonomy":"tagged","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/tagged?post=835"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}