\u0388\u03c3\u03c4\u03c9 \u03bf\u03b9 \u03c3\u03c5\u03bd\u03b1\u03c1\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2 $$f, g, h$$ \u03bc\u03b5 \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b5\u03b4\u03af\u03bf \u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03c4\u03bf $$\\mathbb{R}$$.<\/p>\n
\u0391\u03bd \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 $$g\\circ f =h\\circ f$$ \u03ba\u03b1\u03b9 \u03b5\u03c0\u03b9\u03c0\u03bb\u03ad\u03bf\u03bd \u03b7 $$f$$ \u03ad\u03c7\u03b5\u03b9 \u03b3\u03b9\u03b1 \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03c4\u03b9\u03bc\u03ce\u03bd \u03c4\u03bf $$\\mathbb{R}$$ \u03bd\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9:<\/p>\n
$$g=h$$.<\/p>\n
\u03a0\u03b1\u03af\u03c1\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03c5\u03c7\u03cc\u03bd $$x$$ \u03b3\u03b9\u03b1 \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 $$y$$ \u03bc\u03b5 $$f(y)=x$$ \u03ba\u03b1\u03b9 \u03c4\u03cc\u03c4\u03b5 $$g(x)=g(f(y))=h(f(y))=h(x)$$.<\/p>\n
\u039d\u03b1 \u03b5\u03c0\u03b9\u03c3\u03b7\u03bc\u03ac\u03bd\u03c9 \u03b5\u03b4\u03ce, \u03ba\u03ac\u03c4\u03b9 \u03c0\u03bf\u03c5 \u03c3\u03c5\u03c7\u03bd\u03ac \u03bc\u03c0\u03b5\u03c1\u03b4\u03b5\u03cd\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03be\u03b5\u03c7\u03bd\u03b9\u03ad\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03bc\u03b1\u03b8\u03b7\u03c4\u03ad\u03c2 \u03bc\u03b1\u03c2 \u03b3\u03b9\u03b1\u03c4\u03af \u03b5\u03af\u03bd\u03b1\u03b9 \u03b9\u03b4\u03b9\u03b1\u03af\u03c4\u03b5\u03c1\u03b1 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc \u03bd\u03b1 \u03b4\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03c4\u03b9\u03bc\u03ce\u03bd \u03c4\u03b7\u03c2 $$f: f(D_f ) = \\mathbb{R}$$, \u03b4\u03b9\u03cc\u03c4\u03b9 \u03bc\u03ad\u03c3\u03c9 \u03b1\u03c5\u03c4\u03bf\u03cd \u03bf\u03b9 \u03b4\u03cd\u03bf \u03c3\u03c5\u03bd\u03b1\u03c1\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2 $$h,g$$ \u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03c5\u03bd \u03cc\u03bb\u03b5\u03c2 \u03c4\u03b9\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03b5\u03b4\u03af\u03bf\u03c5 \u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03c4\u03bf\u03c5\u03c2 \u03c0\u03bf\u03c5 \u03b5\u03b9\u03bd\u03b1\u03b9 \u03c4\u03bf $$\\mathbb{R}$$ \u03ba\u03b1\u03b9 \u03ad\u03c4\u03c3\u03b9 \u03b5\u03be\u03b1\u03c3\u03c6\u03b1\u03bb\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b7 \u03b9\u03c3\u03cc\u03c4\u03b7\u03c4\u03ac \u03c4\u03bf\u03c5\u03c2.<\/p>\n
\u03a0\u03b7\u03b3\u03ae: (146) \u03a3\u03cd\u03bd\u03b8\u03b5\u03c3\u03b7 \u03c3\u03c5\u03bd\u03b1\u03c1\u03c4\u03ae\u03c3\u03b5\u03c9\u03bd => \u0399\u03c3\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c3\u03c5\u03bd\u03b1\u03c1\u03c4\u03ae\u03c3\u03b5\u03c9\u03bd – mathematica.gr<\/a><\/em><\/p>\n","protected":false},"excerpt":{"rendered":" \u0388\u03c3\u03c4\u03c9 \u03bf\u03b9 \u03c3\u03c5\u03bd\u03b1\u03c1\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2 $$f, g, h$$ \u03bc\u03b5 \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b5\u03b4\u03af\u03bf \u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03c4\u03bf $$\\mathbb{R}$$. \u0391\u03bd \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 $$g\\circ f =h\\circ f$$ \u03ba\u03b1\u03b9 \u03b5\u03c0\u03b9\u03c0\u03bb\u03ad\u03bf\u03bd \u03b7 $$f$$ \u03ad\u03c7\u03b5\u03b9 \u03b3\u03b9\u03b1 \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03c4\u03b9\u03bc\u03ce\u03bd \u03c4\u03bf $$\\mathbb{R}$$ \u03bd\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9: $$g=h$$. \u03a0\u03b1\u03af\u03c1\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03c5\u03c7\u03cc\u03bd $$x$$ \u03b3\u03b9\u03b1 \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 $$y$$ \u03bc\u03b5 $$f(y)=x$$ \u03ba\u03b1\u03b9 \u03c4\u03cc\u03c4\u03b5 $$g(x)=g(f(y))=h(f(y))=h(x)$$. \u039d\u03b1 \u03b5\u03c0\u03b9\u03c3\u03b7\u03bc\u03ac\u03bd\u03c9 \u03b5\u03b4\u03ce, \u03ba\u03ac\u03c4\u03b9 \u03c0\u03bf\u03c5 \u03c3\u03c5\u03c7\u03bd\u03ac \u03bc\u03c0\u03b5\u03c1\u03b4\u03b5\u03cd\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03be\u03b5\u03c7\u03bd\u03b9\u03ad\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc … \u0394\u03b9\u03b1\u03b2\u03ac\u03c3\u03c4\u03b5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1 “(146) \u03a3\u03cd\u03bd\u03b8\u03b5\u03c3\u03b7 \u03c3\u03c5\u03bd\u03b1\u03c1\u03c4\u03ae\u03c3\u03b5\u03c9\u03bd => \u0399\u03c3\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c3\u03c5\u03bd\u03b1\u03c1\u03c4\u03ae\u03c3\u03b5\u03c9\u03bd – mathematica.gr”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[9,49],"tags":[260,140],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/posts\/1804"}],"collection":[{"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/comments?post=1804"}],"version-history":[{"count":3,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/posts\/1804\/revisions"}],"predecessor-version":[{"id":1807,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/posts\/1804\/revisions\/1807"}],"wp:attachment":[{"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/media?parent=1804"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/categories?post=1804"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/tags?post=1804"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}