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|00000000| 5c 73 65 63 74 69 6f 6e | 7b 63 6f 6e 6a 20 2d 2d |\section|{conj --|
|00000010| 2d 20 43 6f 6d 70 6c 65 | 78 20 43 6f 6e 6a 75 67 |- Comple|x Conjug|
|00000020| 61 74 65 7d 0d 5c 6c 61 | 62 65 6c 7b 66 6e 3a 63 |ate}.\la|bel{fn:c|
|00000030| 6f 6e 6a 7d 0d 5c 69 6e | 64 65 78 7b 63 6f 6e 6a |onj}.\in|dex{conj|
|00000040| 28 29 7d 0d 5c 69 6e 64 | 65 78 7b 63 6f 6d 70 6c |()}.\ind|ex{compl|
|00000050| 65 78 20 63 6f 6e 6a 75 | 67 61 74 65 7d 0d 5c 69 |ex conju|gate}.\i|
|00000060| 6e 64 65 78 7b 6d 61 74 | 72 69 78 21 63 6f 6d 70 |ndex{mat|rix!comp|
|00000070| 6c 65 78 20 63 6f 6e 6a | 75 67 61 74 65 7d 0d 5c |lex conj|ugate}.\|
|00000080| 69 6e 64 65 78 7b 73 63 | 61 6c 61 72 21 63 6f 6d |index{sc|alar!com|
|00000090| 70 6c 65 78 20 63 6f 6e | 6a 75 67 61 74 65 7d 20 |plex con|jugate} |
|000000a0| 0d 5c 62 65 67 69 6e 7b | 72 61 69 6c 7d 0d 43 6f |.\begin{|rail}.Co|
|000000b0| 6e 6a 3a 20 27 63 6f 6e | 6a 27 20 27 28 27 20 28 |nj: 'con|j' '(' (|
|000000c0| 20 53 63 61 6c 61 72 20 | 7c 20 4d 61 74 72 69 78 | Scalar || Matrix|
|000000d0| 20 29 20 27 29 27 20 3b | 0d 5c 65 6e 64 7b 72 61 | ) ')' ;|.\end{ra|
|000000e0| 69 6c 7d 0d 0d 5c 76 65 | 72 62 2b 63 6f 6e 6a 2b |il}..\ve|rb+conj+|
|000000f0| 20 72 65 74 75 72 6e 73 | 20 74 68 65 20 63 6f 6d | returns| the com|
|00000100| 70 6c 65 78 20 63 6f 6e | 6a 75 67 61 74 65 20 6f |plex con|jugate o|
|00000110| 66 20 69 74 73 20 61 72 | 67 75 6d 65 6e 74 2e 0d |f its ar|gument..|
|00000120| 46 6f 72 20 6d 61 74 72 | 69 78 20 61 72 67 75 6d |For matr|ix argum|
|00000130| 65 6e 74 73 20 74 68 65 | 20 63 6f 6e 6a 75 67 61 |ents the| conjuga|
|00000140| 74 69 6f 6e 20 69 73 20 | 70 65 72 66 6f 72 6d 65 |tion is |performe|
|00000150| 64 20 65 6c 65 6d 65 6e | 74 20 62 79 0d 65 6c 65 |d elemen|t by.ele|
|00000160| 6d 65 6e 74 2e 0d 0d 0d | 5c 70 61 72 61 67 72 61 |ment....|\paragra|
|00000170| 70 68 7b 45 78 61 6d 70 | 6c 65 7d 0d 5c 69 6e 64 |ph{Examp|le}.\ind|
|00000180| 65 78 7b 65 78 61 6d 70 | 6c 65 20 6f 66 20 63 6f |ex{examp|le of co|
|00000190| 6e 6a 28 29 7d 0d 5c 69 | 6e 64 65 78 7b 63 6f 6e |nj()}.\i|ndex{con|
|000001a0| 6a 28 29 21 65 78 61 6d | 70 6c 65 7d 0d 5c 62 65 |j()!exam|ple}.\be|
|000001b0| 67 69 6e 7b 76 65 72 62 | 61 74 69 6d 7d 0d 3e 20 |gin{verb|atim}.> |
|000001c0| 63 6f 6e 6a 28 32 29 0d | 20 20 20 20 20 20 20 20 |conj(2).| |
|000001d0| 32 0d 3e 20 63 6f 6e 6a | 28 32 2b 35 2e 37 36 32 |2.> conj|(2+5.762|
|000001e0| 6a 29 0d 20 20 20 20 20 | 20 20 20 32 20 2d 20 35 |j). | 2 - 5|
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|00000210| 2b 20 35 2e 37 36 69 0d | 3e 20 61 20 3d 20 28 31 |+ 5.76i.|> a = (1|
|00000220| 30 30 2a 28 72 61 6e 64 | 28 32 2c 33 29 2b 72 61 |00*(rand|(2,3)+ra|
|00000230| 6e 64 28 32 2c 33 29 2a | 28 30 2b 31 6a 29 29 29 |nd(2,3)*|(0+1j)))|
|00000240| 2d 28 35 30 2b 35 30 6a | 29 0d 20 61 20 3d 0d 20 |-(50+50j|). a =. |
|00000250| 6d 61 74 72 69 78 20 63 | 6f 6c 75 6d 6e 73 20 31 |matrix c|olumns 1|
|00000260| 20 74 68 72 75 20 33 0d | 20 20 20 20 20 20 20 20 | thru 3.| |
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|00000280| 20 20 20 20 20 20 20 20 | 20 20 20 20 31 34 2e 37 | | 14.7|
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|000002f0| 38 20 2d 20 33 37 2e 31 | 69 0d 0d 3e 20 63 6f 6e |8 - 37.1|i..> con|
|00000300| 6a 28 61 29 0d 20 6d 61 | 74 72 69 78 20 63 6f 6c |j(a). ma|trix col|
|00000310| 75 6d 6e 73 20 31 20 74 | 68 72 75 20 33 0d 20 20 |umns 1 t|hru 3. |
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|00000330| 20 31 36 2e 35 69 20 20 | 20 20 20 20 20 20 20 20 | 16.5i | |
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|00000350| 20 20 20 20 20 20 20 20 | 20 2d 34 36 2e 33 20 2d | | -46.3 -|
|00000360| 20 31 35 2e 35 69 0d 20 | 20 20 20 20 20 20 20 20 | 15.5i. | |
|00000370| 20 20 20 34 37 2e 35 20 | 2b 20 34 31 2e 35 69 20 | 47.5 |+ 41.5i |
|00000380| 20 20 20 20 20 20 20 20 | 20 20 2d 31 36 2e 37 20 | | -16.7 |
|00000390| 2b 20 33 33 2e 33 69 20 | 20 20 20 20 20 20 20 20 |+ 33.3i | |
|000003a0| 20 20 2d 33 33 2e 38 20 | 2b 20 33 37 2e 31 69 0d | -33.8 |+ 37.1i.|
|000003b0| 5c 65 6e 64 7b 76 65 72 | 62 61 74 69 6d 7d 0d 0d |\end{ver|batim}..|
|000003c0| 53 65 65 20 61 6c 73 6f | 3a 20 50 61 67 65 7e 5c |See also|: Page~\|
|000003d0| 70 61 67 65 72 65 66 7b | 66 6e 3a 69 6d 61 67 7d |pageref{|fn:imag}|
|000003e0| 20 5c 76 65 72 62 2b 69 | 6d 61 67 28 29 2b 2c 0d | \verb+i|mag()+,.|
|000003f0| 50 61 67 65 7e 5c 70 61 | 67 65 72 65 66 7b 66 6e |Page~\pa|geref{fn|
|00000400| 3a 72 65 61 6c 7d 20 5c | 76 65 72 62 2b 72 65 61 |:real} \|verb+rea|
|00000410| 6c 28 29 2b 2e 20 0d 0d | 5c 6e 65 77 70 61 67 65 |l()+. ..|\newpage|
|00000420| 0d 0d 0d 0d 0d 0d | |...... | |
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