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| dexvert
| LaTeX Document (document/latex)
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| dexvert
| Text File (text/txt)
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| checkBytes
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| perlTextCheck
| Likely Text (Perl)
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| siegfried
| fmt/281 LaTeX (Subdocument)
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| detectItEasy
| Format: plain text[CR]
| default (weak)
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key | value |
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macFileType | [TEXT] |
macFileCreator | [ttxt] |
hex view+--------+-------------------------+-------------------------+--------+--------+
|00000000| 5c 73 65 63 74 69 6f 6e | 7b 68 69 6c 62 20 2d 2d |\section|{hilb --|
|00000010| 2d 20 48 69 6c 62 65 72 | 74 20 4d 61 74 72 69 78 |- Hilber|t Matrix|
|00000020| 7d 0d 5c 6c 61 62 65 6c | 7b 66 6e 3a 68 69 6c 62 |}.\label|{fn:hilb|
|00000030| 7d 0d 5c 69 6e 64 65 78 | 7b 68 69 6c 62 28 29 7d |}.\index|{hilb()}|
|00000040| 0d 5c 69 6e 64 65 78 7b | 48 69 6c 62 65 72 74 20 |.\index{|Hilbert |
|00000050| 6d 61 74 72 69 78 7d 0d | 5c 69 6e 64 65 78 7b 6d |matrix}.|\index{m|
|00000060| 61 74 72 69 78 21 48 69 | 6c 62 65 72 74 7d 0d 5c |atrix!Hi|lbert}.\|
|00000070| 62 65 67 69 6e 7b 72 61 | 69 6c 7d 0d 48 69 6c 62 |begin{ra|il}.Hilb|
|00000080| 65 72 74 20 3a 20 27 68 | 69 6c 62 27 20 27 28 27 |ert : 'h|ilb' '('|
|00000090| 20 53 63 61 6c 61 72 20 | 27 29 27 20 3b 0d 5c 65 | Scalar |')' ;.\e|
|000000a0| 6e 64 7b 72 61 69 6c 7d | 0d 0d 5c 76 65 72 62 2b |nd{rail}|..\verb+|
|000000b0| 68 69 6c 62 2b 20 67 65 | 6e 65 72 61 74 65 73 20 |hilb+ ge|nerates |
|000000c0| 61 20 48 69 6c 62 65 72 | 74 20 6d 61 74 72 69 78 |a Hilber|t matrix|
|000000d0| 2e 20 20 54 68 65 20 73 | 63 61 6c 61 72 20 61 72 |. The s|calar ar|
|000000e0| 67 75 6d 65 6e 74 20 73 | 70 65 63 69 66 69 65 73 |gument s|pecifies|
|000000f0| 0d 74 68 65 20 64 69 6d | 65 6e 73 69 6f 6e 73 20 |.the dim|ensions |
|00000100| 6f 66 20 74 68 65 20 73 | 71 75 61 72 65 20 6d 61 |of the s|quare ma|
|00000110| 74 72 69 78 20 74 6f 20 | 62 65 20 67 65 6e 65 72 |trix to |be gener|
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|00000150| 6c 62 65 72 74 20 6d 61 | 74 72 69 78 2e 20 20 49 |lbert ma|trix. I|
|00000160| 66 20 77 65 20 68 61 76 | 65 20 61 20 48 69 6c 62 |f we hav|e a Hilb|
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|00000180| 64 65 72 20 24 6e 24 2c | 20 61 6e 64 20 72 6f 77 |der $n$,| and row|
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|000001c0| 2c 0d 74 68 65 6e 20 74 | 68 65 20 6d 61 74 72 69 |,.then t|he matri|
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|00000210| 6a 2d 31 7d 0d 5c 65 6e | 64 7b 64 69 73 70 6c 61 |j-1}.\en|d{displa|
|00000220| 79 6d 61 74 68 7d 0d 0d | 24 5c 4c 6f 6e 67 72 69 |ymath}..|$\Longri|
|00000230| 67 68 74 61 72 72 6f 77 | 24 20 54 68 69 73 20 69 |ghtarrow|$ This i|
|00000240| 73 20 6e 6f 74 20 61 6e | 20 5c 52 4c 61 42 5c 20 |s not an| \RLaB\ |
|00000250| 62 75 69 6c 74 2d 69 6e | 20 66 75 6e 63 74 69 6f |built-in| functio|
|00000260| 6e 2e 20 20 54 68 69 73 | 20 66 75 6e 63 74 69 6f |n. This| functio|
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|000002a0| 68 69 6c 62 2e 72 2b 20 | 66 69 6c 65 20 69 6e 20 |hilb.r+ |file in |
|000002b0| 74 68 65 0d 73 74 61 6e | 64 61 72 64 20 5c 76 65 |the.stan|dard \ve|
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|00000350| 20 6d 61 79 20 6d 61 6b | 65 20 74 68 69 73 20 66 | may mak|e this f|
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|00000380| 68 7b 45 78 61 6d 70 6c | 65 7d 0d 5c 69 6e 64 65 |h{Exampl|e}.\inde|
|00000390| 78 7b 65 78 61 6d 70 6c | 65 20 6f 66 20 68 69 6c |x{exampl|e of hil|
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|000004f0| 2d 30 35 0d 3e 20 72 63 | 6f 6e 64 28 68 69 6c 62 |-05.> rc|ond(hilb|
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|00000510| 5c 65 6e 64 7b 76 65 72 | 62 61 74 69 6d 7d 0d 0d |\end{ver|batim}..|
|00000520| 5c 6e 65 77 70 61 67 65 | 0d 0d 0d 0d 0d 0d 0d |\newpage|....... |
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