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銆銆(a,b,c,d)+(e,f,g,h)=(a+e,b+f,c+g,d+h);
銆銆(a,b,c,d)*(e,f,g,h)=(ae-bf-cg-dh,af+be+ch-dg,ag+ce+df-bh,ah+bg+de-cf);
銆銆m(a,b,c,d)=(a,b,c,d)m=(ma,mb,mc,md)(m涓哄父鏁幫級(jí)
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1843騫?Hamilton 鍒涢犱簡褰㈠
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鐨勫拰錛屽畾涔変負(fù)
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i2 = j2
= k2 = -1
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鍙?qiáng)鍒嗛厤寰嬫潵瀹氫箟锛屼篃灏辨槸璇?span lang="EN-US">

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涓哄叾鍏辮江鏁幫紝鍒?
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錛屽垯錛?
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鎴戜滑鑻ヤ粩緇嗚瀵熷洓鍏冩暟鐨勪箻縐畾涔夛紝涓嶉毦鍙戠幇鍚戦噺鐨勫唴縐佸縐殣鍚叾涓傝嫢 a=a0+a1i+a2j+a3k錛屾垜浠О
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鈥滄湁涓浠藉叧浜庣數(shù)鑴戝畨鍏ㄧ殑鎶ュ憡錛岀殑紜槸涓獊鐮達(dá)紝鈥濈洊鑼ㄨ钁楋紝韜綋鍓嶅撅紝鐢ㄩ紶鏍囩偣寮浜嗕竴浠介涓恒婃垜浠兘鍚︽壂闄や簰鑱旂綉锠曡櫕錛熴嬬殑鎶ュ憡銆傝繖鏄井杞湪鑻辨牸鍏版煇涓爺絀跺皬緇勬彁浜ょ殑鎶ュ憡銆傚湪鈥滆蔣浠跺畨鍏ㄢ濃攢鈹寰蔣鏈涓ュ郴鐨勯毦棰樷攢鈹綾葷洰涓嬩竴鍏?1浠芥姤鍛婏紝鏄墍鏈夌被鍒腑鏈澶氱殑銆傝繖浠藉叧浜庤爼铏殑鎶ュ憡鎻忚堪浜嗕竴縐嶆柊鏂規(guī)硶錛屽井杞垨璁歌兘澶熶互姝ゅ埗姝㈣繖縐嶆渶榪戠粰浜掕仈緗戝甫鏉ユ瀬澶ф崯瀹崇殑鐥呮瘨浠g爜銆?/P>
闂叧涓鍛ㄤ腑鐨勯槄璇誨拰鎬濊冧細(xì)璁╃洊鑼ㄥ彂鍑洪毦浠ヨ鏁扮殑鐢?shù)瀛愰偖錃g鍜岃瘎璇傜湅瀹屼竴浠芥姤鍛婂紩鍙戠殑鎬濊冨彲鑳戒細(xì)閫氳繃涓灝佺數(shù)瀛愰偖浠朵紶杈劇粰寰蔣鍏ㄧ悆鍚勫湴鐨勬暟鍗佸悕寰蔣鍛樺伐銆傚憳宸ヤ滑婊℃鏈熷緟鍦伴潤鍊欒繖涓鍛紝甯屾湜浠栦滑鎻愯鐨勯」鐩兘寰楀埌鐩栬尐鐨勬壒鍑嗭紝鎴栬呭鍏徃鐨勫彂灞曟柟鍚戞柦鍔犲獎(jiǎng)鍝嶃傗滆繖鍙槸鍏ㄤ笘鐣屾渶媯掔殑鎰忚綆憋紝鈥濆井杞疢apPoint闆嗗洟鐨勬葷粡鐞嗗彶钂傝姮路鍔沖嫆(Stephen Lawler)璇淬?/P>
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