{"id":273596,"date":"2016-09-07T02:00:00","date_gmt":"2016-09-06T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=f8a81d8703c51ad3877a7fa89c0c3eaa"},"modified":"2016-09-07T02:00:00","modified_gmt":"2016-09-06T23:00:00","slug":"some-physical-applications-of-generalized-lambert-functions","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=273596","title":{"rendered":"Some physical applications of generalized Lambert functions"},"content":{"rendered":"<p>In this paper we show two applications for a generalization of the Lambert W function. Explicit<br \/>\ncalculations are given for the inverse Langevin function that plays an important role in the study<br \/>\nof paramagnetic materials, and for the dispersion equations for water waves. After these examples we<br \/>\nprovide some additional knowledge on the generalized Lambert function as well as a review of former<br \/>\nstudies made towards this direction by other authors.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this paper we show two applications for a generalization of the Lambert W function. Explicit<br \/>\ncalculations are given for the inverse Langevin function that plays an important role in the study<br \/>\nof paramagnetic materials, and for the dispersion equat&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-273596","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/273596","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=273596"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/273596\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=273596"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=273596"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=273596"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}