{"id":2594,"date":"2021-05-17T22:57:18","date_gmt":"2021-05-17T22:57:18","guid":{"rendered":"http:\/\/lazaris.net\/lazaris\/chris\/?p=2594"},"modified":"2023-11-28T13:15:05","modified_gmt":"2023-11-28T13:15:05","slug":"imaginary","status":"publish","type":"post","link":"https:\/\/lazaris.net\/lazaris\/chris\/imaginary\/","title":{"rendered":"\u03a6\u03b1\u03bd\u03c4\u03b1\u03c3\u03c4\u03ae\u03c4\u03b5 \u03ad\u03bd\u03b1 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc. \u03a4\u03bf\u03bd i"},"content":{"rendered":"\n

\u039c\u03ad\u03c7\u03c1\u03b9 \u03c4\u03ce\u03c1\u03b1 \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03c3\u03b1\u03bc\u03b5 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf e \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b5\u03ba\u03b8\u03b5\u03c4\u03b9\u03ba\u03ae \u03b1\u03cd\u03be\u03b7\u03c3\u03b7<\/a>, \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc 1<\/a> \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2<\/a>. \u0394\u03b5\u03bd \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5\u03c2, \u03b1\u03bb\u03bb\u03ac \u03b1\u03c2 \u03c3\u03c5\u03bd\u03b5\u03c7\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03bb\u03af\u03b3\u03bf \u03b1\u03ba\u03cc\u03bc\u03b1. <\/p>\n\n\n\n

\u03a3\u03c4\u03bf \u03c4\u03b5\u03bb\u03b5\u03c5\u03c4\u03b1\u03af\u03bf \u03c0\u03cc\u03c3\u03c4 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2<\/a>, \u03b5\u03af\u03b4\u03b1\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b7 \u03c1\u03af\u03b6\u03b1<\/strong> \u03b5\u03bd\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1\u03c2 \u03ac\u03bb\u03bb\u03bf\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c0\u03bf\u03c5 \u03cc\u03c4\u03b1\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03b5\u03b1\u03c5\u03c4\u03cc \u03c4\u03bf\u03c5<\/strong>, \u03c4\u03cc\u03c4\u03b5 \u03c4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03c0\u03c1\u03ce\u03c4\u03bf\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2<\/strong>. \u03a0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03b7 \u03c1\u03af\u03b6\u03b1 \u03c4\u03bf\u03c5 4 (\u221a4) \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf 2 \u03b3\u03b9\u03b1\u03c4\u03af \u03b1\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03c3\u03b5\u03b9\u03c2 \u03c4\u03bf 2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03b5\u03b1\u03c5\u03c4\u03cc \u03c4\u03bf\u03c5 \u03ad\u03c7\u03b5\u03b9 \u03c3\u03b1\u03c2 \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03c4\u03bf 4. (2×2=4).   \u03a1\u03af\u03b6\u03b1 \u03c4\u03bf\u03c5 49 (\u221a49) \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf 7, \u03b3\u03b9\u03b1\u03c4\u03af 7×7 = 49. \u03a1\u03af\u03b6\u03b1 \u03c4\u03bf\u03c5 64 (\u221a64) \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf 8, \u03b3\u03b9\u03b1\u03c4\u03af 8×8=64 \u03ba\u03b1\u03b9 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2, \u03c1\u03af\u03b6\u03b1 \u03c4\u03bf\u03c5 1 (\u221a1) \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf 1, \u03b3\u03b9\u03b1\u03c4\u03af 1×1=1.<\/p>\n\n\n\n

\u0395\u03af\u03b4\u03b1\u03bc\u03b5 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03cc\u03c4\u03b9 \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af, \u03c0\u03bf\u03c5 \u03cc\u03c4\u03b1\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03c3\u03b5\u03b9\u03c2 2 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c0\u03cc\u03c4\u03b5 \u03c4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 … \u03b8\u03b5\u03c4\u03b9\u03ba\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2.<\/p>\n\n\n\n

\u0394\u03b7\u03bb\u03b1\u03b4\u03ae, (-2)x(-2)=4, (-7)x(-7)=49, (-8)x(-8)=64, (-1)x(-1)=1.<\/p>\n\n\n\n

\u0395\u03c4\u03c3\u03b9, \u03b5\u03af\u03c4\u03b5 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03c3\u03b5\u03b9\u03c2 2 \u03b8\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2, \u03b5\u03af\u03c4\u03b5 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03c3\u03b5\u03b9\u03c2 2 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2, \u03c0\u03ac\u03bb\u03b9 \u03b8\u03b5\u03c4\u03b9\u03ba\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1.<\/p>\n\n\n\n

\u039a\u03b1\u03b9 \u03b2\u03b3\u03b1\u03af\u03bd\u03b5\u03b9 \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf\u03c2 \u03bb\u03bf\u03b9\u03c0\u03cc\u03bd \u03ba\u03b1\u03b9 \u03c1\u03c9\u03c4\u03ac\u03b5\u03b9 \u00ab\u03b1\u03c6\u03bf\u03cd \u03b7 \u03c1\u03af\u03b6\u03b1 \u03c4\u03bf\u03c5 1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03ac\u03bb\u03b9 \u03c4\u03bf 1 (\u03b3\u03b9\u03b1\u03c4\u03af 1×1=1), \u03c4\u03cc\u03c4\u03b5 \u03c0\u03bf\u03b9\u03ac \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03c1\u03af\u03b6\u03b1 \u03c4\u03bf\u03c5 -1;<\/em>\u00bb  \u039a\u03b9\u2019\u03b5\u03ba\u03b5\u03af \u03c4\u03bf\u03bd \u03c0\u03bb\u03b1\u03ba\u03ce\u03c3\u03b1\u03bd \u03c3\u03c4\u03b9\u03c2 \u03c3\u03c6\u03b1\u03bb\u03b9\u03ac\u03c1\u03b5\u03c2 \u03bf\u03b9 \u03ac\u03bb\u03bb\u03bf\u03b9 \u03bf\u03b9 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03af \u03b3\u03b9\u03b1\u03c4\u03af \u03b4\u03b5\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 (\u03bf\u03cd\u03c4\u03b5 \u03b8\u03b5\u03c4\u03b9\u03ba\u03cc\u03c2, \u03bf\u03cd\u03c4\u03b5 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc\u03c2), \u03c0\u03bf\u03c5 \u03cc\u03c4\u03b1\u03bd \u03c4\u03bf\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03b5\u03b1\u03c5\u03c4\u03cc \u03c4\u03bf\u03c5 \u03bd\u03b1 \u03b2\u03b3\u03ac\u03bb\u03b5\u03b9 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1.<\/p>\n\n\n\n

\u03a4\u03bf 1572, \u03bf \u0399\u03c4\u03b1\u03bb\u03cc\u03c2 \u03a1\u03b1\u03c6\u03b1\u03ad\u03bb \u039c\u03c0\u03bf\u03bc\u03c0\u03ad\u03bb\u03b9 (Rafael Bombelli)  \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b5 \u03c4\u03bf\u03bd \u03cc\u03c1\u03bf \u221a-1 .  <\/p>\n\n\n\n

\"\"<\/a>
\u03a1\u03af\u03b6\u03b1 \u03c4\u03bf\u03c5 -1: \u03a5\u03c0\u03ac\u03c1\u03c7\u03c9 \u03c3\u03c4’\u03b1\u03bb\u03ae\u03b8\u03b5\u03b9\u03b1; <\/figcaption><\/figure>\n\n\n\n

\u039a\u03b1\u03b9 \u03ad\u03c4\u03c3\u03b9 \u03b4\u03b5\u03bd \u03b3\u03b9\u03bd\u03cc\u03c4\u03b1\u03c4\u03b1\u03bd\u03b5 \u03ba\u03bf\u03c5\u03b2\u03ad\u03bd\u03c4\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c1\u03af\u03b6\u03b1 \u03c4\u03bf\u03c5 -1 (\u221a-1) \u03bc\u03ad\u03c7\u03c1\u03b9 \u03c4\u03bf 1700. \u0386\u03c3\u03b5 \u03c0\u03bf\u03c5 \u03b2\u03b3\u03ae\u03ba\u03b5 \u03ba\u03b1\u03b9 \u03b7 \u0399\u03b5\u03c1\u03ac \u0395\u03be\u03ad\u03c4\u03b1\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03ba\u03bf\u03bd\u03c4\u03ad\u03c8\u03b1\u03bd \u03bd\u03b1 \u03ba\u03ac\u03c8\u03bf\u03c5\u03bd \u03c4\u03bf\u03bd \u03ba\u03b1\u03b7\u03bc\u03ad\u03bd\u03bf \u03c4\u03bf\u03bd \u0393\u03b1\u03bb\u03b9\u03bb\u03b1\u03af\u03bf \u03c0\u03bf\u03c5 \u03c4\u03cc\u03bb\u03bc\u03b7\u03c3\u03b5 \u03bd\u03b1 \u03c0\u03b5\u03af \u03cc\u03c4\u03b9 \u03b7 \u03b3\u03b7 \u03b3\u03c5\u03c1\u03af\u03b6\u03b5\u03b9, \u03c0\u03bf\u03b9\u03cc\u03c2 \u03b8\u03b1 \u03c4\u03bf\u03bb\u03bc\u03bf\u03cd\u03c3\u03b5 \u03bd\u03b1 \u03c0\u03b5\u03b9 \u03c4\u03af\u03c0\u03bf\u03c4\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c1\u03af\u03b6\u03b1 \u03c4\u03bf\u03c5 -1;  <\/p>\n\n\n\n

\n
\"\"<\/a>
\u03a1\u03b1\u03c6\u03b1\u03ad\u03bb \u039c\u03c0\u03bf\u03bc\u03c0\u03ad\u03bb\u03b9<\/figcaption><\/figure>\n\n\n\n
\"\"<\/a>
\u039b\u03ad\u03bf\u03bd\u03b1\u03c1\u03bd\u03c4 \u038c\u03ca\u03bb\u03b5\u03c1<\/figcaption><\/figure>\n<\/figure>\n\n\n\n

\u039a\u03b1\u03b9 \u03ae\u03c1\u03b8\u03b5 \u03bf \u039b\u03ad\u03bf\u03bd\u03b1\u03c1\u03bd\u03c4 \u038c\u03ca\u03bb\u03b5\u03c1<\/strong> \u03b1\u03c1\u03b3\u03cc\u03c4\u03b5\u03c1\u03b1, \u03c3\u03c4\u03b1 \u03bc\u03ad\u03c3\u03b1 \u03c4\u03bf\u03c5 18\u03bf\u03c5 \u03b1\u03b9\u03ce\u03bd\u03b1, (\u03b8\u03c5\u03bc\u03ac\u03c3\u03c4\u03b5 \u03c4\u03bf\u03bd \u038c\u03ca\u03bb\u03b5\u03c1; \u03c4\u03bf\u03bd \u03b2\u03c1\u03ae\u03ba\u03b1\u03bc\u03b5 \u03b5\u03ba\u03b5\u03af \u03c0\u03bf\u03c5 \u03bb\u03ad\u03b3\u03b1\u03bc\u03b5 \u03b3\u03b9\u03b1 \u03c4\u03bf e<\/a>), \u03ba\u03b1\u03b9 \u03b5\u03af\u03c0\u03b5, \u00ab\u03b5\u03bd\u03c4\u03ac\u03be\u03b5\u03b9, \u03b4\u03b5\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03bd \u03c4\u03bf\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03b5\u03b1\u03c5\u03c4\u03cc \u03c4\u03bf\u03c5 \u03b2\u03b3\u03ac\u03b6\u03b5\u03b9 \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03c4\u03bf -1, \u03b8\u03b1 \u03c6\u03b1\u03bd\u03c4\u03b1\u03c3\u03c4\u03bf\u03cd\u03bc\u03b5 <\/strong>\u03c4\u03cc\u03c4\u03b5 \u03ad\u03bd\u03b1\u03bd \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc, \u03c6\u03b1\u03bd\u03c4\u03b1\u03c3\u03c4\u03b9\u03ba\u03cc, \u03c0\u03bf\u03c5 \u03cc\u03c4\u03b1\u03bd \u03c4\u03bf\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03b5\u03b1\u03c5\u03c4\u03cc \u03c4\u03bf\u03c5 \u03bc\u03b1\u03c2 \u03b2\u03b3\u03ac\u03b6\u03b5\u03b9 -1. \u039a\u03b1\u03b9 \u03c4\u03bf\u03bd \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 i<\/strong><\/em>\u00bb (\u03b1\u03c0\u03cc \u03c4\u03bf imaginarius <\/strong>, \u03c6\u03b1\u03bd\u03c4\u03b1\u03c3\u03c4\u03b9\u03ba\u03cc \u03c3\u03c4\u03b1 \u03bb\u03b1\u03c4\u03b9\u03bd\u03b9\u03ba\u03ac)<\/p>\n\n\n\n

\u0394\u03b7\u03bb\u03b1\u03b4\u03ae, i<\/em> x i<\/em> = -1<\/strong><\/span>  \u03ae \u03b1\u03bb\u03bb\u03b9\u03ce\u03c2 \u221a-1 = i<\/em><\/strong><\/span><\/p>\n\n\n\n

\u039a\u03b1\u03b9 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03ae\u03b8\u03b7\u03ba\u03b5 \u03c4\u03cc\u03c4\u03b5 \u03ad\u03bd\u03b1\u03c2 \u03ac\u03bb\u03bb\u03bf\u03c2 \u03ba\u03bb\u03ac\u03b4\u03bf\u03c2 \u03c4\u03c9\u03bd \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03c0\u03bf\u03c5 \u03b1\u03c3\u03c7\u03bf\u03bb\u03b5\u03af\u03c4\u03b1\u03b9 \u03bc\u03cc\u03bd\u03bf \u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03c6\u03b1\u03bd\u03c4\u03b1\u03c3\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b9\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03ad\u03c2 \u03c4\u03bf\u03c5\u03c2. <\/p>\n\n\n\n

\u0393\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03bb\u03ac\u03b2\u03bf\u03c5\u03bc\u03b5 \u03c0\u03c1\u03b9\u03bd \u03c1\u03c9\u03c4\u03ae\u03c3\u03b5\u03c4\u03b5 … \u03bf\u03b9 \u03c6\u03b1\u03bd\u03c4\u03b1\u03c3\u03c4\u03b9\u03ba\u03bf\u03af \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b1 \u03b5\u03bd\u03b1\u03bb\u03bb\u03b1\u03c3\u03c3\u03cc\u03bc\u03b5\u03bd\u03b1 \u03c1\u03b5\u03cd\u03bc\u03b1\u03c4\u03b1, \u03c3\u03c4\u03b7\u03bd \u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03c3\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd, \u03c3\u03c4\u03b7\u03bd \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2, \u03c3\u03c4\u03b7\u03bd \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03af\u03b1 fractals \u03ba\u03b1\u03b9 \u03ac\u03bb\u03bb\u03b1 \u03c0\u03bf\u03bb\u03bb\u03ac .<\/p>\n\n\n

\n
\"\"<\/a>
Fractal artwork<\/figcaption><\/figure><\/div>","protected":false},"excerpt":{"rendered":"

\u039c\u03ad\u03c7\u03c1\u03b9 \u03c4\u03ce\u03c1\u03b1 \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03c3\u03b1\u03bc\u03b5 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf e \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b5\u03ba\u03b8\u03b5\u03c4\u03b9\u03ba\u03ae \u03b1\u03cd\u03be\u03b7\u03c3\u03b7, \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc 1 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2. \u0394\u03b5\u03bd \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5\u03c2, \u03b1\u03bb\u03bb\u03ac \u03b1\u03c2 \u03c3\u03c5\u03bd\u03b5\u03c7\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03bb\u03af\u03b3\u03bf \u03b1\u03ba\u03cc\u03bc\u03b1. \u03a3\u03c4\u03bf […]<\/p>\n","protected":false},"author":1,"featured_media":2598,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"ngg_post_thumbnail":0,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[413,144],"tags":[404,415,414,153,416,418,145,417],"class_list":["post-2594","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-maths","category-science","tag-euler","tag-i","tag-imaginary","tag-mathematics","tag-number","tag-418","tag-145","tag-417"],"yoast_head":"\n\u03a6\u03b1\u03bd\u03c4\u03b1\u03c3\u03c4\u03ae\u03c4\u03b5 \u03ad\u03bd\u03b1 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc. \u03a4\u03bf\u03bd i - \u03a3\u03ba\u03ad\u03c8\u03b5\u03b9\u03c2...<\/title>\n<meta name=\"description\" content=\"\u0395\u03c0\u03b5\u03b9\u03b4\u03ae \u03b4\u03b5\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03bd \u03c4\u03bf\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03b5\u03b1\u03c5\u03c4\u03cc \u03c4\u03bf\u03c5 \u03b2\u03b3\u03ac\u03b6\u03b5\u03b9 \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03c4\u03bf -1, \u03b8\u03b1 \u03c6\u03b1\u03bd\u03c4\u03b1\u03c3\u03c4\u03bf\u03cd\u03bc\u03b5 \u03ad\u03bd\u03b1\u03bd \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc, \u03c6\u03b1\u03bd\u03c4\u03b1\u03c3\u03c4\u03b9\u03ba\u03cc, \u03c0\u03bf\u03c5 \u03cc\u03c4\u03b1\u03bd \u03c4\u03bf\u03bd 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\u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03bd \u03c4\u03bf\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03b5\u03b1\u03c5\u03c4\u03cc \u03c4\u03bf\u03c5 \u03b2\u03b3\u03ac\u03b6\u03b5\u03b9 \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03c4\u03bf -1, \u03b8\u03b1 \u03c6\u03b1\u03bd\u03c4\u03b1\u03c3\u03c4\u03bf\u03cd\u03bc\u03b5 \u03ad\u03bd\u03b1\u03bd \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc, \u03c6\u03b1\u03bd\u03c4\u03b1\u03c3\u03c4\u03b9\u03ba\u03cc, \u03c0\u03bf\u03c5 \u03cc\u03c4\u03b1\u03bd \u03c4\u03bf\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03b5\u03b1\u03c5\u03c4\u03cc \u03c4\u03bf\u03c5 \u03bc\u03b1\u03c2 \u03b2\u03b3\u03ac\u03b6\u03b5\u03b9 -1. \u039a\u03b1\u03b9 \u03c4\u03bf\u03bd \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 i.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/lazaris.net\/lazaris\/chris\/imaginary\/\" \/>\n<meta property=\"og:site_name\" content=\"\u03a3\u03ba\u03ad\u03c8\u03b5\u03b9\u03c2...\" \/>\n<meta property=\"article:published_time\" content=\"2021-05-17T22:57:18+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-11-28T13:15:05+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/i0.wp.com\/lazaris.net\/lazaris\/chris\/wp-content\/uploads\/2021\/05\/12422521251984757845Math_i_square.svg_.med1_.png?fit=300%2C300&ssl=1\" \/>\n\t<meta property=\"og:image:width\" content=\"300\" \/>\n\t<meta property=\"og:image:height\" content=\"300\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Chris\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@Christodoulosl\" \/>\n<meta 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\u03c0, \u03ad\u03c7\u03b5\u03b9 \u03c0\u03bf\u03bb\u03bb\u03ad\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03c0\u03bf\u03bb\u03bb\u03ad\u03c2 \u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b5\u03c2. \u03a4\u03ce\u03c1\u03b1 \u03b8\u03b1 \u03bc\u03b9\u03bb\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b3\u03b9\u03b1\u2026","rel":"","context":"In "Maths"","block_context":{"text":"Maths","link":"https:\/\/lazaris.net\/lazaris\/chris\/category\/maths\/"},"img":{"alt_text":"number-1","src":"https:\/\/i0.wp.com\/lazaris.net\/lazaris\/chris\/wp-content\/uploads\/2021\/04\/dotnetnuke-number-11.jpg?fit=1024%2C512&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/lazaris.net\/lazaris\/chris\/wp-content\/uploads\/2021\/04\/dotnetnuke-number-11.jpg?fit=1024%2C512&ssl=1&resize=350%2C200 1x, 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