{"id":568,"date":"2022-01-21T04:36:52","date_gmt":"2022-01-21T12:36:52","guid":{"rendered":"http:\/\/fx-td.com\/houdiniandchill\/?p=568"},"modified":"2022-01-21T04:46:49","modified_gmt":"2022-01-21T12:46:49","slug":"archived-post-by-jefflmnt-10","status":"publish","type":"post","link":"http:\/\/fx-td.com\/houdiniandchill\/2022\/01\/21\/archived-post-by-jefflmnt-10\/","title":{"rendered":"Archived post by JeffLMnT"},"content":{"rendered":"<p class=\"\">Hahaha this is a direct copy of the answer Omar gave me when I asked the chances of overshoot when int\u00e9grating that function<br \/>\nAs for a question whether it will overshoot, It will not as it uses an exponential integrator with the assumption that p and A are static through the timestep:  `A(t) = G + (A(0) &#8211; G) * e^(-pt)`  the pull operation ends up evaluating the `A(t)`  `A(0)` would be the current value of the field  `G` is the current value of the source  `p` is the strength Finally, `t` we are evaluating at is `TimeInc`  For `t>0` and `p>0` (which is certainly the case), we can see that `0 < e^(-pt) < 1` , which entails that A(t) will be between A(0) and G<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hahaha this is a direct copy of the answer Omar gave me when I asked the chances of overshoot when int\u00e9grating that function As for a question whether it will overshoot, It will not as it uses an exponential integrator with the assumption that p and A are static through the timestep: `A(t) = G &hellip; <a href=\"http:\/\/fx-td.com\/houdiniandchill\/2022\/01\/21\/archived-post-by-jefflmnt-10\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Archived post by JeffLMnT<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[3],"tags":[],"_links":{"self":[{"href":"http:\/\/fx-td.com\/houdiniandchill\/wp-json\/wp\/v2\/posts\/568"}],"collection":[{"href":"http:\/\/fx-td.com\/houdiniandchill\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/fx-td.com\/houdiniandchill\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/fx-td.com\/houdiniandchill\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/fx-td.com\/houdiniandchill\/wp-json\/wp\/v2\/comments?post=568"}],"version-history":[{"count":0,"href":"http:\/\/fx-td.com\/houdiniandchill\/wp-json\/wp\/v2\/posts\/568\/revisions"}],"wp:attachment":[{"href":"http:\/\/fx-td.com\/houdiniandchill\/wp-json\/wp\/v2\/media?parent=568"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/fx-td.com\/houdiniandchill\/wp-json\/wp\/v2\/categories?post=568"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/fx-td.com\/houdiniandchill\/wp-json\/wp\/v2\/tags?post=568"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}