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This file was processed as: LaTeX Document
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You can browse this item here: exp.tex
Confidence | Program | Detection | Match Type | Support
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100%
| dexvert
| LaTeX Document (document/latex)
| magic
| Supported |
1%
| dexvert
| Text File (text/txt)
| fallback
| Supported |
100%
| file
| LaTeX document text
| default
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99%
| file
| LaTeX document, ASCII text, with CR line terminators
| default
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100%
| checkBytes
| Printable ASCII
| default
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100%
| perlTextCheck
| Likely Text (Perl)
| default
| |
100%
| siegfried
| fmt/281 LaTeX (Subdocument)
| default
| |
100%
| detectItEasy
| Format: plain text[CR]
| default (weak)
|
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id metadata |
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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 65 78 70 20 2d 2d 2d |\section|{exp ---|
|00000010| 20 45 78 70 6f 6e 65 6e | 74 69 61 6c 7d 0d 5c 6c | Exponen|tial}.\l|
|00000020| 61 62 65 6c 7b 66 6e 3a | 65 78 70 7d 0d 5c 69 6e |abel{fn:|exp}.\in|
|00000030| 64 65 78 7b 65 78 70 28 | 29 7d 0d 5c 69 6e 64 65 |dex{exp(|)}.\inde|
|00000040| 78 7b 65 78 70 6f 6e 65 | 6e 74 69 61 6c 7d 0d 5c |x{expone|ntial}.\|
|00000050| 69 6e 64 65 78 7b 6d 61 | 74 72 69 78 21 65 78 70 |index{ma|trix!exp|
|00000060| 6f 6e 65 6e 74 69 61 6c | 7d 0d 5c 69 6e 64 65 78 |onential|}.\index|
|00000070| 7b 73 63 61 6c 61 72 21 | 65 78 70 6f 6e 65 6e 74 |{scalar!|exponent|
|00000080| 69 61 6c 7d 0d 5c 62 65 | 67 69 6e 7b 72 61 69 6c |ial}.\be|gin{rail|
|00000090| 7d 0d 45 78 70 20 3a 20 | 27 65 78 70 27 20 27 28 |}.Exp : |'exp' '(|
|000000a0| 27 20 28 20 53 63 61 6c | 61 72 20 7c 20 4d 61 74 |' ( Scal|ar | Mat|
|000000b0| 72 69 78 20 29 20 27 29 | 27 20 3b 0d 5c 65 6e 64 |rix ) ')|' ;.\end|
|000000c0| 7b 72 61 69 6c 7d 0d 0d | 5c 76 65 72 62 2b 65 78 |{rail}..|\verb+ex|
|000000d0| 70 2b 20 72 65 74 75 72 | 6e 73 20 24 65 24 20 72 |p+ retur|ns $e$ r|
|000000e0| 61 69 73 65 64 20 74 6f | 20 74 68 65 20 70 6f 77 |aised to| the pow|
|000000f0| 65 72 20 6f 66 20 74 68 | 65 20 61 72 67 75 6d 65 |er of th|e argume|
|00000100| 6e 74 2e 20 49 66 20 74 | 68 65 0d 61 72 67 75 6d |nt. If t|he.argum|
|00000110| 65 6e 74 20 69 73 20 61 | 20 6d 61 74 72 69 78 2c |ent is a| matrix,|
|00000120| 20 74 68 65 6e 20 61 6e | 20 65 6c 65 6d 65 6e 74 | then an| element|
|00000130| 2d 62 79 2d 65 6c 65 6d | 65 6e 74 20 6f 70 65 72 |-by-elem|ent oper|
|00000140| 61 74 69 6f 6e 20 69 73 | 0d 70 65 72 66 6f 72 6d |ation is|.perform|
|00000150| 65 64 2e 20 49 66 20 74 | 68 65 20 61 72 67 75 6d |ed. If t|he argum|
|00000160| 65 6e 74 20 69 73 20 63 | 6f 6d 70 6c 65 78 20 76 |ent is c|omplex v|
|00000170| 61 6c 75 65 2c 20 24 7a | 24 20 2c 20 74 68 65 6e |alue, $z|$ , then|
|00000180| 20 74 68 65 20 72 65 73 | 75 6c 74 20 69 73 3a 0d | the res|ult is:.|
|00000190| 0d 5c 5b 65 5e 7b 5c 52 | 65 28 7a 29 7d 20 5c 63 |.\[e^{\R|e(z)} \c|
|000001a0| 6f 73 28 5c 49 6d 28 7a | 29 29 20 2b 6a 20 65 5e |os(\Im(z|)) +j e^|
|000001b0| 7b 5c 52 65 28 7a 29 7d | 20 5c 73 69 6e 28 5c 49 |{\Re(z)}| \sin(\I|
|000001c0| 6d 28 7a 29 29 20 5c 5d | 0d 0d 5c 70 61 72 61 67 |m(z)) \]|..\parag|
|000001d0| 72 61 70 68 7b 65 78 61 | 6d 70 6c 65 7d 0d 5c 69 |raph{exa|mple}.\i|
|000001e0| 6e 64 65 78 7b 65 78 61 | 6d 70 6c 65 20 6f 66 20 |ndex{exa|mple of |
|000001f0| 65 78 70 28 29 7d 0d 5c | 69 6e 64 65 78 7b 65 78 |exp()}.\|index{ex|
|00000200| 70 28 29 21 65 78 61 6d | 70 6c 65 7d 0d 5c 62 65 |p()!exam|ple}.\be|
|00000210| 67 69 6e 7b 76 65 72 62 | 61 74 69 6d 7d 0d 3e 20 |gin{verb|atim}.> |
|00000220| 65 78 70 28 30 29 0d 20 | 20 20 20 20 20 20 20 31 |exp(0). | 1|
|00000230| 0d 3e 20 65 78 70 28 31 | 29 0d 20 20 20 20 20 32 |.> exp(1|). 2|
|00000240| 2e 37 32 0d 3e 20 65 78 | 70 28 32 29 0d 20 20 20 |.72.> ex|p(2). |
|00000250| 20 20 37 2e 33 39 0d 3e | 20 65 78 70 28 31 29 5e | 7.39.>| exp(1)^|
|00000260| 32 0d 20 20 20 20 20 37 | 2e 33 39 0d 3e 20 65 78 |2. 7|.39.> ex|
|00000270| 70 28 35 34 29 0d 20 32 | 2e 38 33 65 2b 32 33 0d |p(54). 2|.83e+23.|
|00000280| 3e 20 65 78 70 28 33 2e | 32 29 0d 20 20 20 20 20 |> exp(3.|2). |
|00000290| 32 34 2e 35 0d 3e 20 65 | 78 70 28 2d 32 33 29 0d |24.5.> e|xp(-23).|
|000002a0| 20 31 2e 30 33 65 2d 31 | 30 0d 3e 20 65 78 70 28 | 1.03e-1|0.> exp(|
|000002b0| 5b 30 2c 31 2c 32 2c 35 | 2c 33 34 2c 32 2e 35 34 |[0,1,2,5|,34,2.54|
|000002c0| 33 5d 29 0d 20 6d 61 74 | 72 69 78 20 63 6f 6c 75 |3]). mat|rix colu|
|000002d0| 6d 6e 73 20 31 20 74 68 | 72 75 20 36 0d 20 20 20 |mns 1 th|ru 6. |
|000002e0| 20 20 20 20 20 31 20 20 | 20 20 20 20 20 32 2e 37 | 1 | 2.7|
|000002f0| 32 20 20 20 20 20 20 20 | 37 2e 33 39 20 20 20 20 |2 |7.39 |
|00000300| 20 20 20 20 31 34 38 20 | 20 20 35 2e 38 33 65 2b | 148 | 5.83e+|
|00000310| 31 34 20 20 20 20 20 20 | 20 31 32 2e 37 20 0d 5c |14 | 12.7 .\|
|00000320| 65 6e 64 7b 76 65 72 62 | 61 74 69 6d 7d 0d 0d 53 |end{verb|atim}..S|
|00000330| 65 65 20 61 6c 73 6f 3a | 20 50 61 67 65 7e 5c 70 |ee also:| Page~\p|
|00000340| 61 67 65 72 65 66 7b 66 | 6e 3a 6c 6f 67 7d 20 5c |ageref{f|n:log} \|
|00000350| 76 65 72 62 2b 6c 6f 67 | 28 29 2b 2c 0d 50 61 67 |verb+log|()+,.Pag|
|00000360| 65 7e 5c 70 61 67 65 72 | 65 66 7b 66 6e 3a 6c 6f |e~\pager|ef{fn:lo|
|00000370| 67 31 30 7d 20 5c 76 65 | 72 62 2b 6c 6f 67 31 30 |g10} \ve|rb+log10|
|00000380| 28 29 2b 2e 0d 0d 0d 5c | 6e 65 77 70 61 67 65 0d |()+....\|newpage.|
|00000390| 0d 0d 0d 0d 0d 0d 0d | |....... | |
+--------+-------------------------+-------------------------+--------+--------+