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|00000000| 5c 73 65 63 74 69 6f 6e | 7b 73 71 72 74 20 2d 2d |\section|{sqrt --|
|00000010| 2d 20 53 71 75 61 72 65 | 20 52 6f 6f 74 7d 0d 5c |- Square| Root}.\|
|00000020| 6c 61 62 65 6c 7b 66 6e | 3a 73 71 72 74 7d 0d 5c |label{fn|:sqrt}.\|
|00000030| 69 6e 64 65 78 7b 73 71 | 72 74 28 29 7d 0d 5c 69 |index{sq|rt()}.\i|
|00000040| 6e 64 65 78 7b 73 71 75 | 61 72 65 20 72 6f 6f 74 |ndex{squ|are root|
|00000050| 7d 0d 5c 62 65 67 69 6e | 7b 72 61 69 6c 7d 0d 53 |}.\begin|{rail}.S|
|00000060| 71 52 74 20 3a 20 27 73 | 71 72 74 27 20 27 28 27 |qRt : 's|qrt' '('|
|00000070| 20 28 20 53 63 61 6c 61 | 72 20 7c 20 4d 61 74 72 | ( Scala|r | Matr|
|00000080| 69 78 20 29 20 27 29 27 | 20 3b 0d 5c 65 6e 64 7b |ix ) ')'| ;.\end{|
|00000090| 72 61 69 6c 7d 0d 0d 5c | 76 65 72 62 2b 73 71 72 |rail}..\|verb+sqr|
|000000a0| 74 2b 20 72 65 74 75 72 | 6e 73 20 74 68 65 20 73 |t+ retur|ns the s|
|000000b0| 71 75 61 72 65 20 72 6f | 6f 74 20 6f 66 20 69 74 |quare ro|ot of it|
|000000c0| 73 20 61 72 67 75 6d 65 | 6e 74 2e 20 49 66 20 74 |s argume|nt. If t|
|000000d0| 68 65 20 61 72 67 75 6d | 65 6e 74 0d 69 73 20 61 |he argum|ent.is a|
|000000e0| 20 6d 61 74 72 69 78 2c | 20 74 68 65 6e 20 61 6e | matrix,| then an|
|000000f0| 20 65 6c 65 6d 65 6e 74 | 2d 62 79 2d 65 6c 65 6d | element|-by-elem|
|00000100| 65 6e 74 20 73 71 75 61 | 72 65 2d 72 6f 6f 74 20 |ent squa|re-root |
|00000110| 6f 70 65 72 61 74 69 6f | 6e 0d 69 73 20 70 65 72 |operatio|n.is per|
|00000120| 66 6f 72 6d 65 64 2e 20 | 20 54 68 69 73 20 66 75 |formed. | This fu|
|00000130| 6e 63 74 69 6f 6e 20 75 | 6e 64 65 72 73 74 61 6e |nction u|nderstan|
|00000140| 64 73 20 63 6f 6d 70 6c | 65 78 20 76 61 6c 75 65 |ds compl|ex value|
|00000150| 73 2e 0d 0d 0d 5c 70 61 | 72 61 67 72 61 70 68 7b |s....\pa|ragraph{|
|00000160| 45 78 61 6d 70 6c 65 7d | 0d 5c 69 6e 64 65 78 7b |Example}|.\index{|
|00000170| 65 78 61 6d 70 6c 65 20 | 6f 66 20 73 71 72 74 28 |example |of sqrt(|
|00000180| 29 7d 0d 5c 69 6e 64 65 | 78 7b 73 71 72 74 28 29 |)}.\inde|x{sqrt()|
|00000190| 21 65 78 61 6d 70 6c 65 | 7d 0d 5c 62 65 67 69 6e |!example|}.\begin|
|000001a0| 7b 76 65 72 62 61 74 69 | 6d 7d 0d 3e 20 73 71 72 |{verbati|m}.> sqr|
|000001b0| 74 28 34 29 0d 20 20 20 | 20 20 20 20 20 32 0d 3e |t(4). | 2.>|
|000001c0| 20 73 71 72 74 28 2d 34 | 29 0d 20 20 20 20 20 20 | sqrt(-4|). |
|000001d0| 20 20 30 20 2b 20 32 69 | 0d 3e 20 73 71 72 74 28 | 0 + 2i|.> sqrt(|
|000001e0| 2d 34 30 2d 33 34 6a 29 | 0d 20 20 20 20 20 20 32 |-40-34j)|. 2|
|000001f0| 2e 35 20 2d 20 36 2e 38 | 69 0d 3e 20 63 20 3d 20 |.5 - 6.8|i.> c = |
|00000200| 72 61 6e 64 28 32 2c 35 | 29 2a 32 30 20 0d 20 63 |rand(2,5|)*20 . c|
|00000210| 20 3d 0d 20 20 20 20 20 | 20 20 32 30 20 20 20 20 | =. | 20 |
|00000220| 20 20 20 31 32 2e 39 20 | 20 20 20 20 20 30 2e 37 | 12.9 | 0.7|
|00000230| 33 39 20 20 20 20 20 20 | 20 31 33 2e 33 20 20 20 |39 | 13.3 |
|00000240| 20 20 20 20 34 2e 30 38 | 20 20 0d 20 20 20 20 20 | 4.08| . |
|00000250| 31 39 2e 35 20 20 20 20 | 20 20 20 36 2e 36 36 20 |19.5 | 6.66 |
|00000260| 20 20 20 20 20 20 33 2e | 32 33 20 20 20 20 20 20 | 3.|23 |
|00000270| 20 31 2e 36 39 20 20 20 | 20 20 20 20 33 2e 33 35 | 1.69 | 3.35|
|00000280| 20 20 0d 3e 20 73 71 72 | 74 28 63 29 0d 20 20 20 | .> sqr|t(c). |
|00000290| 20 20 34 2e 34 37 20 20 | 20 20 20 20 20 20 33 2e | 4.47 | 3.|
|000002a0| 36 20 20 20 20 20 20 20 | 30 2e 38 36 20 20 20 20 |6 |0.86 |
|000002b0| 20 20 20 33 2e 36 35 20 | 20 20 20 20 20 20 32 2e | 3.65 | 2.|
|000002c0| 30 32 20 20 0d 20 20 20 | 20 20 34 2e 34 31 20 20 |02 . | 4.41 |
|000002d0| 20 20 20 20 20 32 2e 35 | 38 20 20 20 20 20 20 20 | 2.5|8 |
|000002e0| 20 31 2e 38 20 20 20 20 | 20 20 20 20 31 2e 33 20 | 1.8 | 1.3 |
|000002f0| 20 20 20 20 20 20 31 2e | 38 33 20 0d 5c 65 6e 64 | 1.|83 .\end|
|00000300| 7b 76 65 72 62 61 74 69 | 6d 7d 0d 0d 5c 6e 65 77 |{verbati|m}..\new|
|00000310| 70 61 67 65 0d 0d | |page.. | |
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