ã€ã‚ªã‚¤ãƒ©ãƒ¼ã®å…¬å¼ã®ï½…ã¨ï½‰ã«ã¤ã„ã¦ã€‘　虚数ã®æŒ‡æ•°éƒ¨ã®æ„味・感覚を掴ã¿ãŸã„ - OKWAVEç´šæ•°ã®ç†è«–ã‚’ãã£ã¡ã‚Šæ§‹ç¯‰ã—ã¦ è¤‡ç´ æ•°ã®ç¯„囲ã®ç´šæ•°ã§ä¸‰è§’関数や指数関数ã®é¡žã‚’定義ã™ã‚Œã° ç«‹æ´¾ã«ã€Œå°Žãã€ã“ã¨ãŒã§ãã¾ã™ã． 発見的ãªï¼ˆã¾ã£ãŸã厳密ã§ã¯ãªã„）考ãˆæ–¹ã¨ã—ã¦ã¯ cosθ＋isinθ=f(θ) ã¨ãŠãã¨ï¼Œä¸‰è§’関数ã®åŠ 法定ç†ã«ã‚ˆã£ã¦ æ•´æ•°s,tã«å¯¾ã—㦠f(st)=f(s)f(t) f(st)=f(s)^t ã¨ã„ã£ãŸã€ŒæŒ‡æ•°æ³•å‰‡ã€ãŒæˆã‚Šç«‹ã¤ã®ã§ï¼Œ f(x)ã¯ä½•ã‹ã®æŒ‡æ•°é–¢æ•°ã ã‚ã†ã¨äºˆæ¸¬ãŒä»˜ãã‚ã‘ã§ã™ï¼Ž ãã“ã§ï¼Œf(x)=a^x ã¨è¡¨ã—ã¦ã¿ã‚‹ã‚ã‘ã§ã™ï¼Ž ãã—ã¦ï¼Œå¤§èƒ†ã«å¾®åˆ†ã‚’ã—ã¦ã¿ã‚‹ã¨ a^x log(a) = f'(x) = (-sin(x)+icos(x)) = i(cos(x)+isin(x)) = if(x) = i a^x ãªã®ã§ï¼Œlog(a)=i ã™ãªã‚ã¡ï¼Œa=e^{i} ã“ã‚Œã§ã‚ã§ãŸã e^{ix} = cos(x)+isin(x) ã¨æ±ºå®šã§ãã‚‹ã‚ã‘ã§ã™ï¼Ž ＃ã“ã®è°è«–ã¯å¾®åˆ†æ–¹ç¨‹å¼
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