{"id":93,"date":"2010-11-30T19:39:42","date_gmt":"2010-12-01T03:39:42","guid":{"rendered":"http:\/\/www.technicaljapanese.com\/?p=93"},"modified":"2012-01-26T13:29:55","modified_gmt":"2012-01-26T21:29:55","slug":"calculus-terminology","status":"publish","type":"post","link":"http:\/\/www.technicaljapanese.com\/?p=93","title":{"rendered":"Calculus Terminology"},"content":{"rendered":"

Some terminology from a calculus book:<\/p>\n

\u00e5\u00be\u00ae\u00e5\u02c6\u2020\u00e5\u00ad\u00a6 – \u00e3\u0081\u00b3\u00e3\u0081\u00b6\u00e3\u201a\u201c\u00e3\u0081\u0152\u00e3\u0081\u008f – differential calculus
\n\u00e7\u00a9\u008d\u00e5\u02c6\u2020\u00e5\u00ad\u00a6 – \u00e3\u0081\u203a\u00e3\u0081\u008d\u00e3\u0081\u00b6\u00e3\u201a\u201c\u00e3\u0081\u0152\u00e3\u0081\u008f – integral calculus<\/p>\n

\u00e9\u2013\u00a2\u00e6\u2022\u00b0 – \u00e3\u0081\u2039\u00e3\u201a\u201c\u00e3\u0081\u2122\u00e3\u0081\u2020 – a (mathematical) function
\n\u00e5\u00ae\u0161\u00e6\u2022\u00b0\u00e9\u2013\u00a2\u00e6\u2022\u00b0 – \u00e3\u0081\u00a6\u00e3\u0081\u201e\u00e3\u0081\u2122\u00e3\u0081\u2020\u00e3\u0081\u2039\u00e3\u201a\u201c\u00e3\u0081\u2122\u00e3\u0081\u2020 – a constant function
\n1\u00e6\u00ac\u00a1\u00e9\u2013\u00a2\u00e6\u2022\u00b0 – \u00e3\u0081\u201e\u00e3\u0081\u00a1\u00e3\u0081\u02dc\u00e3\u0081\u2039\u00e3\u201a\u201c\u00e3\u0081\u2122\u00e3\u0081\u2020 – linear function
\n2\u00e6\u00ac\u00a1\u00e9\u2013\u00a2\u00e6\u2022\u00b0 – \u00e3\u0081\u00ab\u00e3\u0081\u02dc\u00e3\u0081\u2039\u00e3\u201a\u201c\u00e3\u0081\u2122\u00e3\u0081\u2020 – quadratic function
\n\u00e6\u0152\u2021\u00e6\u2022\u00b0\u00e9\u2013\u00a2\u00e6\u2022\u00b0 – \u00e3\u0081\u2014\u00e3\u0081\u2122\u00e3\u0081\u2020\u00e3\u0081\u2039\u00e3\u201a\u201c\u00e3\u0081\u2122\u00e3\u0081\u2020 – exponential function
\n\u00e4\u00b8\u2030\u00e8\u00a7\u2019\u00e9\u2013\u00a2\u00e6\u2022\u00b0 – \u00e3\u0081\u2022\u00e3\u201a\u201c\u00e3\u0081\u2039\u00e3\u0081\u008f\u00e3\u0081\u2039\u00e3\u201a\u201c\u00e3\u0081\u2122\u00e3\u0081\u2020 – trigonometric function
\n\u00e9\u20ac\u2020\u00e4\u00b8\u2030\u00e8\u00a7\u2019\u00e9\u2013\u00a2\u00e6\u2022\u00b0 – \u00e3\u0081\u017d\u00e3\u201a\u0192\u00e3\u0081\u008f\u00e3\u0081\u2022\u00e3\u201a\u201c\u00e3\u0081\u2039\u00e3\u0081\u008f\u00e3\u0081\u2039\u00e3\u201a\u201c\u00e3\u0081\u2122\u00e3\u0081\u2020 – inverse trigonometric function<\/p>\n

\u00e6\u00a5\u00b5\u00e9\u2122\u0090 – \u00e3\u0081\u008d\u00e3\u201a\u2021\u00e3\u0081\u008f\u00e3\u0081\u2019\u00e3\u201a\u201c – a limit (both mathematical and non-)<\/p>\n

\u00e8\u2021\u00aa\u00e7\u201e\u00b6\u00e5\u00af\u00be\u00e6\u2022\u00b0 – \u00e3\u0081\u2014\u00e3\u0081\u0153\u00e3\u201a\u201c\u00e3\u0081\u0178\u00e3\u0081\u201e\u00e3\u0081\u2122\u00e3\u0081\u2020 – natural logarithm<\/p>\n

\u00e5\u00be\u00ae\u00e5\u02c6\u2020 – \u00e3\u0081\u00b3\u00e3\u0081\u00b6\u00e3\u201a\u201c – differential
\n\u00e4\u00ba\u0152\u00e9\u0161\u017d\u00e5\u00be\u00ae\u00e5\u02c6\u2020 – \u00e3\u0081\u00ab\u00e3\u0081\u2039\u00e3\u0081\u201e\u00e3\u0081\u00b3\u00e3\u0081\u00b6\u00e3\u201a\u201c – second order differential<\/p>\n

\u00e9\u20ac\u00a3\u00e7\u00b6\u0161 – \u00e3\u201a\u0152\u00e3\u201a\u201c\u00e3\u0081\u017e\u00e3\u0081\u008f – continuous
\n\u00e4\u00b8\u008d\u00e9\u20ac\u00a3\u00e7\u00b6\u0161 – \u00e3\u0081\u00b5\u00e3\u201a\u0152\u00e3\u201a\u201c\u00e3\u0081\u017e\u00e3\u0081\u008f – discontinuous<\/p>\n

\u00e5\u00b0\u2013\u00e7\u201a\u00b9 – \u00e3\u0081\u203a\u00e3\u201a\u201c\u00e3\u0081\u00a6\u00e3\u201a\u201c – cusp
\n\u00e7\u201e\u00a1\u00e9\u2122\u0090\u00e5\u00a4\u00a7 – \u00e3\u201a\u20ac\u00e3\u0081\u2019\u00e3\u201a\u201c\u00e3\u0081\u00a0\u00e3\u0081\u201e – infinity<\/p>\n

\u00e5\u00ae\u0161\u00e7\u00be\u00a9\u00e3\u0081\u2022\u00e3\u201a\u0152\u00e3\u201a\u2039 – \u00e3\u0081\u00a6\u00e3\u0081\u201e\u00e3\u0081\u017d\u00e3\u0081\u2022\u00e3\u201a\u0152\u00e3\u201a\u2039 – is defined
\n\u00e5\u00ae\u0161\u00e7\u00be\u00a9\u00e3\u0081\u2022\u00e3\u201a\u0152\u00e3\u0081\u00be\u00e3\u0081\u203a\u00e3\u201a\u201c – \u00e3\u0081\u00a6\u00e3\u0081\u201e\u00e3\u0081\u017d\u00e3\u0081\u2022\u00e3\u201a\u0152\u00e3\u0081\u00be\u00e3\u0081\u203a\u00e3\u201a\u201c – is undefined
\n\u00e5\u00ae\u0161\u00e7\u00be\u00a9\u00e5\u0178\u0178 – \u00e3\u0081\u00a6\u00e3\u0081\u201e\u00e3\u0081\u017d\u00e3\u0081\u201e\u00e3\u0081\u008d – domain (of a function)<\/p>\n

\u00e5\u00b0\u017d\u00e9\u2013\u00a2\u00e6\u2022\u00b0 – \u00e3\u0081\u00a9\u00e3\u0081\u2020\u00e3\u0081\u2039\u00e3\u201a\u201c\u00e3\u0081\u2122\u00e3\u0081\u2020 – derivative, derived function<\/p>\n

\u00e7\u00a9\u008d\u00e3\u0081\u00ae\u00e5\u00be\u00ae\u00e5\u02c6\u2020\u00e3\u0081\u00ae\u00e5\u2026\u00ac\u00e5\u00bc\u008f – \u00e3\u0081\u203a\u00e3\u0081\u008d\u00e3\u0081\u00ae\u00e3\u0081\u00b3\u00e3\u0081\u00b6\u00e3\u201a\u201c\u00e3\u0081\u00ae\u00e3\u0081\u201c\u00e3\u0081\u2020\u00e3\u0081\u2014\u00e3\u0081\u008d – the product rule for derivatives
\n\u00e5\u2022\u2020\u00e3\u0081\u00ae\u00e5\u00be\u00ae\u00e5\u02c6\u2020\u00e3\u0081\u00ae\u00e5\u2026\u00ac\u00e5\u00bc\u008f – \u00e3\u0081\u2014\u00e3\u201a\u2021\u00e3\u0081\u2020\u00e3\u0081\u00ae\u00e3\u0081\u00b3\u00e3\u0081\u00b6\u00e3\u201a\u201c\u00e3\u0081\u00ae\u00e3\u0081\u201c\u00e3\u0081\u2020\u00e3\u0081\u2014\u00e3\u0081\u008d – the quotient rule for derivatives<\/p>\n

That covers the first several chapters. <\/p>\n","protected":false},"excerpt":{"rendered":"

Some terminology from a calculus book: \u00e5\u00be\u00ae\u00e5\u02c6\u2020\u00e5\u00ad\u00a6 – \u00e3\u0081\u00b3\u00e3\u0081\u00b6\u00e3\u201a\u201c\u00e3\u0081\u0152\u00e3\u0081\u008f – differential calculus \u00e7\u00a9\u008d\u00e5\u02c6\u2020\u00e5\u00ad\u00a6 – \u00e3\u0081\u203a\u00e3\u0081\u008d\u00e3\u0081\u00b6\u00e3\u201a\u201c\u00e3\u0081\u0152\u00e3\u0081\u008f – integral calculus \u00e9\u2013\u00a2\u00e6\u2022\u00b0 – \u00e3\u0081\u2039\u00e3\u201a\u201c\u00e3\u0081\u2122\u00e3\u0081\u2020 – a (mathematical) function \u00e5\u00ae\u0161\u00e6\u2022\u00b0\u00e9\u2013\u00a2\u00e6\u2022\u00b0 – \u00e3\u0081\u00a6\u00e3\u0081\u201e\u00e3\u0081\u2122\u00e3\u0081\u2020\u00e3\u0081\u2039\u00e3\u201a\u201c\u00e3\u0081\u2122\u00e3\u0081\u2020 – a constant function 1\u00e6\u00ac\u00a1\u00e9\u2013\u00a2\u00e6\u2022\u00b0 – \u00e3\u0081\u201e\u00e3\u0081\u00a1\u00e3\u0081\u02dc\u00e3\u0081\u2039\u00e3\u201a\u201c\u00e3\u0081\u2122\u00e3\u0081\u2020 – linear function 2\u00e6\u00ac\u00a1\u00e9\u2013\u00a2\u00e6\u2022\u00b0 – \u00e3\u0081\u00ab\u00e3\u0081\u02dc\u00e3\u0081\u2039\u00e3\u201a\u201c\u00e3\u0081\u2122\u00e3\u0081\u2020 – quadratic function \u00e6\u0152\u2021\u00e6\u2022\u00b0\u00e9\u2013\u00a2\u00e6\u2022\u00b0 – \u00e3\u0081\u2014\u00e3\u0081\u2122\u00e3\u0081\u2020\u00e3\u0081\u2039\u00e3\u201a\u201c\u00e3\u0081\u2122\u00e3\u0081\u2020 – exponential function \u00e4\u00b8\u2030\u00e8\u00a7\u2019\u00e9\u2013\u00a2\u00e6\u2022\u00b0 – \u00e3\u0081\u2022\u00e3\u201a\u201c\u00e3\u0081\u2039\u00e3\u0081\u008f\u00e3\u0081\u2039\u00e3\u201a\u201c\u00e3\u0081\u2122\u00e3\u0081\u2020 – trigonometric […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-93","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=\/wp\/v2\/posts\/93","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=93"}],"version-history":[{"count":2,"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=\/wp\/v2\/posts\/93\/revisions"}],"predecessor-version":[{"id":128,"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=\/wp\/v2\/posts\/93\/revisions\/128"}],"wp:attachment":[{"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=93"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=93"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.technicaljapanese.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=93"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}