Developer CD Series 1994 September: Reference Library

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Mailbox/MIME Entity | 1994-07-07 | 142.7 KB | [TEXT/MPS ]
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This file was processed as: Mailbox/MIME Entity (archive/mbox).
Confidence	Program	Detection	Match Type	Support
`100%`	dexvert	Mailbox/MIME Entity `(archive/mbox)`	magic	Supported
`1%`	dexvert	Text File `(text/txt)`	fallback	Supported
`100%`	file	ASCII text, with CR line terminators	default
`100%`	checkBytes	Printable ASCII	default
`100%`	perlTextCheck	Likely Text (Perl)	default
`100%`	siegfried	fmt/950 MIME Email (1.0)	default
`100%`	detectItEasy	Format: Plain text[CR]	default
id metadata
key	value
macFileType	`[TEXT]`
macFileCreator	`[MPS ]`
hex view
+--------+-------------------------+-------------------------+--------+--------+
|00000000| 52 65 63 65 69 76 65 64 | 2d 44 61 74 65 3a 20 54 |Received|-Date: T|
|00000010| 68 75 2c 20 31 36 20 4a | 75 6e 20 31 39 39 34 20 |hu, 16 J|un 1994 |
|00000020| 31 33 3a 33 35 3a 32 30 | 20 2b 30 32 30 30 0d 46 |13:35:20| +0200.F|
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|000028b0| 72 69 74 65 73 3a 0d 3e | 20 41 6e 6f 74 68 65 72 |rites:.>| Another|
|000028c0| 20 6f 70 74 69 6f 6e 2c | 20 73 69 6e 63 65 20 79 | option,| since y|
|000028d0| 6f 75 20 6f 6e 6c 79 20 | 77 61 6e 74 20 69 6e 74 |ou only |want int|
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|00002950| 77 69 6c 6c 20 67 69 76 | 65 20 79 6f 75 20 61 20 |will giv|e you a |
|00002960| 72 61 6e 67 65 20 6f 66 | 20 31 2d 3e 31 2c 30 30 |range of| 1->1,00|
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|00002990| 28 31 30 30 30 29 20 3d | 20 31 30 20 6c 6f 6f 6b |(1000) =| 10 look|
|000029a0| 75 70 73 20 75 73 69 6e | 67 20 61 20 73 69 6d 70 |ups usin|g a simp|
|000029b0| 6c 65 20 62 69 6e 61 72 | 79 20 73 65 61 72 63 68 |le binar|y search|
|000029c0| 2e 20 20 41 20 74 61 62 | 6c 65 20 77 69 74 68 20 |.  A tab|le with |
|000029d0| 33 32 4b 20 6f 72 20 0d | 3e 20 73 6f 20 65 6c 65 |32K or .|> so ele|
|000029e0| 6d 65 6e 74 73 20 77 69 | 6c 6c 20 0d 3e 20 20 0d |ments wi|ll .>  .|
|000029f0| 3e 20 68 61 76 65 20 61 | 20 72 61 6e 67 65 20 6f |> have a| range o|
|00002a00| 66 20 31 2d 3e 31 2c 30 | 30 30 2c 30 30 30 2c 30 |f 1->1,0|00,000,0|
|00002a10| 30 30 20 61 6e 64 20 77 | 69 6c 6c 20 62 65 20 73 |00 and w|ill be s|
|00002a20| 65 61 72 63 68 61 62 6c | 65 20 69 6e 20 6c 6f 67 |earchabl|e in log|
|00002a30| 32 28 33 32 4b 29 20 3d | 20 33 30 20 0d 3e 20 6c |2(32K) =| 30 .> l|
|00002a40| 6f 6f 6b 75 70 73 2e 20 | 20 49 66 20 79 6f 75 20 |ookups. | If you |
|00002a50| 63 61 6e 20 73 70 61 72 | 65 20 61 20 66 65 77 20 |can spar|e a few |
|00002a60| 64 6f 7a 65 6e 20 4b 2c | 20 74 68 65 6e 20 74 68 |dozen K,| then th|
|00002a70| 69 73 20 6d 61 79 20 62 | 65 20 66 61 73 74 20 65 |is may b|e fast e|
|00002a80| 6e 6f 75 67 68 2e 20 0d | 0d 41 63 74 75 61 6c 6c |nough. .|.Actuall|
|00002a90| 79 2c 20 49 20 6f 6e 63 | 65 20 66 6f 75 6e 64 20 |y, I onc|e found |
|00002aa0| 74 68 69 73 20 61 6c 67 | 6f 72 69 74 68 6d 3a 0d |this alg|orithm:.|
|00002ab0| 0d 69 6e 74 20 69 6e 74 | 53 71 72 74 20 28 69 6e |.int int|Sqrt (in|
|00002ac0| 74 20 6e 75 6d 29 20 7b | 0d 20 20 20 66 6f 72 20 |t num) {|.   for |
|00002ad0| 28 69 20 3d 20 6a 20 3d | 20 31 2c 20 6b 20 3d 20 |(i = j =| 1, k = |
|00002ae0| 33 3b 20 6e 75 6d 20 3e | 20 6a 3b 20 6a 20 2b 3d |3; num >| j; j +=|
|00002af0| 20 28 6b 2b 3d 32 29 2c | 20 2b 2b 69 29 0d 20 20 | (k+=2),| ++i).  |
|00002b00| 20 20 20 20 20 20 20 20 | 3b 0d 0d 20 20 20 72 65 |        |;..   re|
|00002b10| 74 75 72 6e 20 69 3b 0d | 7d 0d 0d 4e 6f 74 65 20 |turn i;.|}..Note |
|00002b20| 74 68 61 74 20 74 68 69 | 73 20 61 6c 67 6f 72 69 |that thi|s algori|
|00002b30| 74 68 6d 20 72 6f 75 6e | 64 73 20 75 70 2c 20 6e |thm roun|ds up, n|
|00002b40| 6f 74 20 64 6f 77 6e 2e | 20 49 27 6d 20 6e 6f 74 |ot down.| I'm not|
|00002b50| 20 73 75 72 65 20 65 78 | 61 63 74 6c 79 20 68 6f | sure ex|actly ho|
|00002b60| 77 20 0d 63 6f 72 72 65 | 63 74 20 74 68 69 73 20 |w .corre|ct this |
|00002b70| 69 73 20 28 49 20 6a 75 | 73 74 20 63 6f 64 65 64 |is (I ju|st coded|
|00002b80| 20 69 74 20 6f 66 66 20 | 74 68 65 20 74 6f 70 20 | it off |the top |
|00002b90| 6f 66 20 6d 79 20 68 65 | 61 64 29 20 62 75 74 20 |of my he|ad) but |
|00002ba0| 79 6f 75 20 67 65 74 20 | 74 68 65 20 0d 62 61 73 |you get |the .bas|
|00002bb0| 69 63 20 69 64 65 61 20 | 69 6e 20 61 6e 79 20 63 |ic idea |in any c|
|00002bc0| 61 73 65 2e 20 41 64 64 | 69 6e 67 20 74 68 65 20 |ase. Add|ing the |
|00002bd0| 6f 64 64 20 69 6e 74 65 | 67 65 72 73 20 67 69 76 |odd inte|gers giv|
|00002be0| 65 73 20 79 6f 75 20 74 | 68 65 20 73 71 75 61 72 |es you t|he squar|
|00002bf0| 65 73 3b 20 69 2e 65 2e | 20 31 20 0d 3d 20 31 3b |es; i.e.| 1 .= 1;|
|00002c00| 20 31 20 2b 20 33 20 3d | 20 34 3b 20 31 20 2b 20 | 1 + 3 =| 4; 1 + |
|00002c10| 33 20 2b 20 35 20 3d 20 | 39 3b 20 31 20 2b 20 33 |3 + 5 = |9; 1 + 3|
|00002c20| 20 2b 20 35 20 2b 20 37 | 20 3d 20 31 36 3b 20 31 | + 5 + 7| = 16; 1|
|00002c30| 20 2b 20 33 20 2b 20 35 | 20 2b 20 37 20 2b 20 39 | + 3 + 5| + 7 + 9|
|00002c40| 20 3d 20 32 35 3b 20 0d | 61 6e 64 20 73 6f 20 6f | = 25; .|and so o|
|00002c50| 6e 2e 0d 0d 49 20 64 6f | 6e 27 74 20 6b 6e 6f 77 |n...I do|n't know|
|00002c60| 20 68 6f 77 20 66 61 73 | 74 20 74 68 69 73 20 69 | how fas|t this i|
|00002c70| 73 20 69 6e 20 79 6f 75 | 72 20 73 70 65 63 69 66 |s in you|r specif|
|00002c80| 69 63 20 69 6e 73 74 61 | 6e 63 65 2c 20 62 75 74 |ic insta|nce, but|
|00002c90| 20 69 74 20 73 68 6f 75 | 6c 64 20 62 65 20 0d 71 | it shou|ld be .q|
|00002ca0| 75 69 74 65 20 66 61 73 | 74 2e 0d 0d 0d 0d 0d 0d |uite fas|t.......|
|00002cb0| 2b 2b 2b 2b 2b 2b 2b 2b | 2b 2b 2b 2b 2b 2b 2b 2b |++++++++|++++++++|
|00002cc0| 2b 2b 2b 2b 2b 2b 2b 2b | 2b 2b 2b 0d 0d 3e 46 72 |++++++++|+++..>Fr|
|00002cd0| 6f 6d 20 72 6d 61 68 40 | 70 61 6e 69 78 2e 63 6f |om rmah@|panix.co|
|00002ce0| 6d 20 28 52 6f 62 65 72 | 74 20 53 2e 20 4d 61 68 |m (Rober|t S. Mah|
|00002cf0| 29 0d 44 61 74 65 3a 20 | 54 75 65 2c 20 30 33 20 |).Date: |Tue, 03 |
|00002d00| 4d 61 79 20 31 39 39 34 | 20 32 32 3a 30 34 3a 32 |May 1994| 22:04:2|
|00002d10| 32 20 2d 30 35 30 30 0d | 4f 72 67 61 6e 69 7a 61 |2 -0500.|Organiza|
|00002d20| 74 69 6f 6e 3a 20 4f 6e | 65 20 53 74 65 70 20 42 |tion: On|e Step B|
|00002d30| 65 79 6f 6e 64 0d 0d 67 | 65 77 65 6b 65 61 6e 40 |eyond..g|ewekean@|
|00002d40| 73 74 75 64 65 6e 74 67 | 2e 6d 73 75 2e 65 64 75 |studentg|.msu.edu|
|00002d50| 20 28 41 6e 64 72 65 77 | 20 47 65 77 65 6b 65 29 | (Andrew| Geweke)|
|00002d60| 20 77 72 6f 74 65 3a 0d | 0d 3e 20 72 6d 61 68 40 | wrote:.|.> rmah@|
|00002d70| 70 61 6e 69 78 2e 63 6f | 6d 20 28 52 6f 62 65 72 |panix.co|m (Rober|
|00002d80| 74 20 20 53 2e 20 4d 61 | 68 29 20 77 72 69 74 65 |t  S. Ma|h) write|
|00002d90| 73 3a 0d 3e 20 3e 20 41 | 6e 6f 74 68 65 72 20 6f |s:.> > A|nother o|
|00002da0| 70 74 69 6f 6e 2c 20 73 | 69 6e 63 65 20 79 6f 75 |ption, s|ince you|
|00002db0| 20 6f 6e 6c 79 20 77 61 | 6e 74 20 69 6e 74 65 67 | only wa|nt integ|
|00002dc0| 65 72 20 61 70 72 6f 78 | 69 6d 61 74 69 6f 6e 73 |er aprox|imations|
|00002dd0| 2c 20 69 73 20 74 6f 20 | 63 72 65 61 74 65 20 0d |, is to |create .|
|00002de0| 3e 20 3e 20 61 20 74 61 | 62 6c 65 20 6f 66 20 73 |> > a ta|ble of s|
|00002df0| 71 75 61 72 65 73 20 61 | 6e 64 20 64 6f 20 61 20 |quares a|nd do a |
|00002e00| 62 69 6e 61 72 79 20 73 | 65 61 72 63 68 20 6f 76 |binary s|earch ov|
|00002e10| 65 72 20 69 74 2e 20 20 | 41 20 31 30 30 30 20 65 |er it.  |A 1000 e|
|00002e20| 6c 65 6d 65 6e 74 20 0d | 3e 20 3e 20 5b 2e 2e 2e |lement .|> > [...|
|00002e30| 5d 0d 3e 20 3e 20 68 61 | 76 65 20 61 20 72 61 6e |].> > ha|ve a ran|
|00002e40| 67 65 20 6f 66 20 31 2d | 3e 31 2c 30 30 30 2c 30 |ge of 1-|>1,000,0|
|00002e50| 30 30 2c 30 30 30 20 61 | 6e 64 20 77 69 6c 6c 20 |00,000 a|nd will |
|00002e60| 62 65 20 73 65 61 72 63 | 68 61 62 6c 65 20 69 6e |be searc|hable in|
|00002e70| 20 6c 6f 67 32 28 33 32 | 4b 29 20 3d 20 33 30 20 | log2(32|K) = 30 |
|00002e80| 0d 3e 20 3e 20 6c 6f 6f | 6b 75 70 73 2e 20 20 49 |.> > loo|kups.  I|
|00002e90| 66 20 79 6f 75 20 63 61 | 6e 20 73 70 61 72 65 20 |f you ca|n spare |
|00002ea0| 61 20 66 65 77 20 64 6f | 7a 65 6e 20 4b 2c 20 74 |a few do|zen K, t|
|00002eb0| 68 65 6e 20 74 68 69 73 | 20 6d 61 79 20 62 65 20 |hen this| may be |
|00002ec0| 66 61 73 74 20 65 6e 6f | 75 67 68 2e 20 0d 3e 20 |fast eno|ugh. .> |
|00002ed0| 0d 3e 20 41 63 74 75 61 | 6c 6c 79 2c 20 49 20 6f |.> Actua|lly, I o|
|00002ee0| 6e 63 65 20 66 6f 75 6e | 64 20 74 68 69 73 20 61 |nce foun|d this a|
|00002ef0| 6c 67 6f 72 69 74 68 6d | 3a 0d 3e 20 0d 3e 20 69 |lgorithm|:.> .> i|
|00002f00| 6e 74 20 69 6e 74 53 71 | 72 74 20 28 69 6e 74 20 |nt intSq|rt (int |
|00002f10| 6e 75 6d 29 20 7b 0d 3e | 20 20 20 20 66 6f 72 20 |num) {.>|    for |
|00002f20| 28 69 20 3d 20 6a 20 3d | 20 31 2c 20 6b 20 3d 20 |(i = j =| 1, k = |
|00002f30| 33 3b 20 6e 75 6d 20 3e | 20 6a 3b 20 6a 20 2b 3d |3; num >| j; j +=|
|00002f40| 20 28 6b 2b 3d 32 29 2c | 20 2b 2b 69 29 0d 3e 20 | (k+=2),| ++i).> |
|00002f50| 20 20 20 20 20 20 20 20 | 20 20 3b 0d 3e 20 0d 3e |        |  ;.> .>|
|00002f60| 20 20 20 20 72 65 74 75 | 72 6e 20 69 3b 0d 3e 20 |    retu|rn i;.> |
|00002f70| 7d 0d 3e 20 0d 3e 20 4e | 6f 74 65 20 74 68 61 74 |}.> .> N|ote that|
|00002f80| 20 74 68 69 73 20 61 6c | 67 6f 72 69 74 68 6d 20 | this al|gorithm |
|00002f90| 72 6f 75 6e 64 73 20 75 | 70 2c 20 6e 6f 74 20 64 |rounds u|p, not d|
|00002fa0| 6f 77 6e 2e 20 49 27 6d | 20 6e 6f 74 20 73 75 72 |own. I'm| not sur|
|00002fb0| 65 20 65 78 61 63 74 6c | 79 20 68 6f 77 20 0d 3e |e exactl|y how .>|
|00002fc0| 20 63 6f 72 72 65 63 74 | 20 74 68 69 73 20 69 73 | correct| this is|
|00002fd0| 20 28 49 20 6a 75 73 74 | 20 63 6f 64 65 64 20 69 | (I just| coded i|
|00002fe0| 74 20 6f 66 66 20 74 68 | 65 20 74 6f 70 20 6f 66 |t off th|e top of|
|00002ff0| 20 6d 79 20 68 65 61 64 | 29 20 62 75 74 20 79 6f | my head|) but yo|
|00003000| 75 20 67 65 74 20 74 68 | 65 20 0d 3e 20 62 61 73 |u get th|e .> bas|
|00003010| 69 63 20 69 64 65 61 20 | 69 6e 20 61 6e 79 20 63 |ic idea |in any c|
|00003020| 61 73 65 2e 20 41 64 64 | 69 6e 67 20 74 68 65 20 |ase. Add|ing the |
|00003030| 6f 64 64 20 69 6e 74 65 | 67 65 72 73 20 67 69 76 |odd inte|gers giv|
|00003040| 65 73 20 79 6f 75 20 74 | 68 65 20 73 71 75 61 72 |es you t|he squar|
|00003050| 65 73 3b 20 0d 3e 20 69 | 2e 65 2e 20 31 20 20 3d |es; .> i|.e. 1  =|
|00003060| 20 31 3b 20 31 20 2b 20 | 33 20 3d 20 34 3b 20 31 | 1; 1 + |3 = 4; 1|
|00003070| 20 2b 20 33 20 2b 20 35 | 20 3d 20 39 3b 20 31 20 | + 3 + 5| = 9; 1 |
|00003080| 2b 20 33 20 2b 20 35 20 | 2b 20 37 20 3d 20 31 36 |+ 3 + 5 |+ 7 = 16|
|00003090| 3b 20 31 20 2b 20 33 20 | 2b 20 35 20 2b 20 0d 3e |; 1 + 3 |+ 5 + .>|
|000030a0| 20 37 20 2b 20 39 20 3d | 20 32 35 3b 20 20 61 6e | 7 + 9 =| 25;  an|
|000030b0| 64 20 73 6f 20 6f 6e 2e | 0d 3e 20 0d 3e 20 49 20 |d so on.|.> .> I |
|000030c0| 64 6f 6e 27 74 20 6b 6e | 6f 77 20 68 6f 77 20 66 |don't kn|ow how f|
|000030d0| 61 73 74 20 74 68 69 73 | 20 69 73 20 69 6e 20 79 |ast this| is in y|
|000030e0| 6f 75 72 20 73 70 65 63 | 69 66 69 63 20 69 6e 73 |our spec|ific ins|
|000030f0| 74 61 6e 63 65 2c 20 62 | 75 74 20 69 74 20 73 68 |tance, b|ut it sh|
|00003100| 6f 75 6c 64 20 20 0d 3e | 20 62 65 20 71 75 69 74 |ould  .>| be quit|
|00003110| 65 20 66 61 73 74 2e 0d | 0d 54 68 61 74 27 73 20 |e fast..|.That's |
|00003120| 61 20 67 72 65 61 74 20 | 6c 69 74 74 6c 65 20 61 |a great |little a|
|00003130| 6c 67 6f 72 69 74 68 6d | 21 20 20 54 68 61 74 20 |lgorithm|!  That |
|00003140| 73 65 71 75 65 6e 63 65 | 20 6c 6f 6f 6b 73 20 5f |sequence| looks _|
|00003150| 73 6f 5f 20 66 61 6d 69 | 6c 69 61 72 2c 20 62 75 |so_ fami|liar, bu|
|00003160| 74 0d 66 6f 72 20 74 68 | 65 20 6c 69 66 65 20 6f |t.for th|e life o|
|00003170| 66 20 6d 65 2c 20 49 20 | 63 61 6e 27 74 20 72 65 |f me, I |can't re|
|00003180| 63 61 6c 6c 20 74 68 65 | 20 6e 61 6d 65 2e 2e 2e |call the| name...|
|00003190| 0d 0d 41 6e 79 77 61 79 | 2c 20 69 74 20 6c 6f 6f |..Anyway|, it loo|
|000031a0| 6b 73 20 6c 69 6b 65 20 | 69 74 20 77 6f 75 6c 64 |ks like |it would|
|000031b0| 20 62 65 20 6f 72 64 65 | 72 20 4f 28 73 71 72 74 | be orde|r O(sqrt|
|000031c0| 28 6e 29 29 20 77 68 65 | 72 65 20 6e 20 69 73 20 |(n)) whe|re n is |
|000031d0| 74 68 65 20 61 72 67 75 | 6d 65 6e 74 20 0d 74 6f |the argu|ment .to|
|000031e0| 20 74 68 65 20 66 75 6e | 63 74 69 6f 6e 2e 20 20 | the fun|ction.  |
|000031f0| 4f 6e 6c 79 20 61 20 70 | 72 6f 62 6c 65 6d 20 69 |Only a p|roblem i|
|00003200| 66 20 74 68 65 20 64 6f | 6d 61 69 6e 20 72 61 6e |f the do|main ran|
|00003210| 67 65 20 66 6f 72 20 74 | 68 65 20 61 70 70 6c 69 |ge for t|he appli|
|00003220| 63 61 74 69 6f 6e 20 0d | 69 73 20 6c 61 72 67 65 |cation .|is large|
|00003230| 2c 20 74 68 61 74 20 69 | 73 20 53 71 72 74 28 31 |, that i|s Sqrt(1|
|00003240| 30 30 30 30 29 20 77 6f | 75 6c 64 20 74 61 6b 65 |0000) wo|uld take|
|00003250| 20 31 30 20 74 69 6d 65 | 73 20 61 73 20 6c 6f 6e | 10 time|s as lon|
|00003260| 67 20 61 73 20 53 71 72 | 74 28 31 30 30 29 2e 20 |g as Sqr|t(100). |
|00003270| 20 0d 48 6f 77 65 76 65 | 72 2c 20 75 6e 6c 69 6b | .Howeve|r, unlik|
|00003280| 65 20 74 68 65 20 74 61 | 62 6c 65 20 6d 65 74 68 |e the ta|ble meth|
|00003290| 6f 64 2c 20 74 68 65 20 | 75 70 70 65 72 20 62 6f |od, the |upper bo|
|000032a0| 75 6e 64 73 20 69 73 6e | 27 74 20 66 69 78 65 64 |unds isn|'t fixed|
|000032b0| 20 61 74 20 63 6f 6d 70 | 69 6c 65 0d 74 69 6d 65 | at comp|ile.time|
|000032c0| 2e 0d 0d 43 68 65 65 72 | 73 2c 0d 52 6f 62 0d 5f |...Cheer|s,.Rob._|
|000032d0| 5f 5f 5f 5f 5f 5f 5f 5f | 5f 5f 5f 5f 5f 5f 5f 5f |________|________|
|000032e0| 5f 5f 5f 5f 5f 5f 5f 5f | 5f 5f 5f 5f 5f 5f 5f 5f |________|________|
|000032f0| 5f 5f 5f 5f 5f 5f 5f 5f | 5f 5f 5f 5f 5f 5f 5f 5f |________|________|
|00003300| 5f 5f 5f 5f 5f 5f 5f 5f | 5f 5f 5f 5f 5f 5f 5f 5f |________|________|
|00003310| 5f 5f 5f 5f 5f 5f 5f 5f | 5f 5f 0d 52 6f 62 65 72 |________|__.Rober|
|00003320| 74 20 53 2e 20 4d 61 68 | 20 20 2d 3d 2d 20 20 4f |t S. Mah|  -=-  O|
|00003330| 6e 65 20 53 74 65 70 20 | 42 65 79 6f 6e 64 20 20 |ne Step |Beyond  |
|00003340| 2d 3d 2d 20 20 32 31 32 | 2d 39 34 37 2d 36 35 30 |-=-  212|-947-650|
|00003350| 37 20 20 2d 3d 2d 20 20 | 72 6d 61 68 40 70 61 6e |7  -=-  |rmah@pan|
|00003360| 69 78 2e 63 6f 6d 0d 0d | 2b 2b 2b 2b 2b 2b 2b 2b |ix.com..|++++++++|
|00003370| 2b 2b 2b 2b 2b 2b 2b 2b | 2b 2b 2b 2b 2b 2b 2b 2b |++++++++|++++++++|
|00003380| 2b 2b 2b 0d 0d 3e 46 72 | 6f 6d 20 70 6f 74 74 69 |+++..>Fr|om potti|
|00003390| 65 72 40 63 6f 72 76 65 | 74 74 65 2e 65 6e 73 2e |er@corve|tte.ens.|
|000033a0| 66 72 20 28 46 72 61 6e | 63 6f 69 73 20 50 6f 74 |fr (Fran|cois Pot|
|000033b0| 74 69 65 72 29 0d 44 61 | 74 65 3a 20 34 20 4d 61 |tier).Da|te: 4 Ma|
|000033c0| 79 20 31 39 39 34 20 30 | 39 3a 34 32 3a 32 39 20 |y 1994 0|9:42:29 |
|000033d0| 47 4d 54 0d 4f 72 67 61 | 6e 69 7a 61 74 69 6f 6e |GMT.Orga|nization|
|000033e0| 3a 20 45 63 6f 6c 65 20 | 4e 6f 72 6d 61 6c 65 20 |: Ecole |Normale |
|000033f0| 53 75 70 65 72 69 65 75 | 72 65 2c 20 50 41 52 49 |Superieu|re, PARI|
|00003400| 53 2c 20 46 72 61 6e 63 | 65 0d 0d 49 6e 20 61 72 |S, Franc|e..In ar|
|00003410| 74 69 63 6c 65 20 3c 62 | 75 73 66 69 65 6c 64 2e |ticle <b|usfield.|
|00003420| 37 36 37 39 38 35 38 33 | 32 40 68 75 72 72 69 63 |76798583|2@hurric|
|00003430| 61 6e 65 3e 2c 0d 4a 6f | 68 6e 20 44 2e 20 42 75 |ane>,.Jo|hn D. Bu|
|00003440| 73 66 69 65 6c 64 20 3c | 62 75 73 66 69 65 6c 64 |sfield <|busfield|
|00003450| 40 68 75 72 72 69 63 61 | 6e 65 2e 73 65 61 73 2e |@hurrica|ne.seas.|
|00003460| 75 63 6c 61 2e 65 64 75 | 3e 20 77 72 6f 74 65 3a |ucla.edu|> wrote:|
|00003470| 0d 0d 3e 20 20 20 20 44 | 6f 65 73 20 61 6e 79 6f |..>    D|oes anyo|
|00003480| 6e 65 20 68 61 76 65 20 | 61 6e 20 61 6c 67 6f 72 |ne have |an algor|
|00003490| 69 74 68 6d 20 6f 72 20 | 63 6f 64 65 20 66 6f 72 |ithm or |code for|
|000034a0| 20 63 6f 6d 70 75 74 69 | 6e 67 20 73 71 75 61 72 | computi|ng squar|
|000034b0| 65 20 72 6f 6f 74 73 2e | 0d 0d 0d 54 68 65 72 65 |e roots.|...There|
|000034c0| 20 77 61 73 20 61 20 74 | 68 72 65 61 64 20 6f 6e | was a t|hread on|
|000034d0| 20 74 68 69 73 20 73 75 | 62 6a 65 63 74 20 61 62 | this su|bject ab|
|000034e0| 6f 75 74 20 61 20 79 65 | 61 72 20 61 67 6f 2e 20 |out a ye|ar ago. |
|000034f0| 48 65 72 65 27 73 20 77 | 68 61 74 0d 49 20 6b 65 |Here's w|hat.I ke|
|00003500| 70 74 3a 0d 0d 2d 20 2d | 2d 2d 2d 2d 2d 2d 2d 2d |pt:..- -|--------|
|00003510| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |--------|--------|
|00003520| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |--------|--------|
|00003530| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |--------|--------|
|00003540| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 0d 0d |--------|------..|
|00003550| 0d 3e 44 6f 65 73 20 73 | 6f 6d 65 62 6f 64 79 20 |.>Does s|omebody |
|00003560| 68 61 76 65 20 63 6f 64 | 65 20 6f 72 20 61 6e 20 |have cod|e or an |
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