Properal (properal)

Race #1142

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Official speed 71.57 wpm (72.26 seconds elapsed during race)
Without ending ping 71.70 wpm (132 ms delay sending score to TypeRacer’s server)
Timerless 72.02 wpm (324 ms elapsed before first character typed; 71.81 seconds elapsed during race)
Timerless minus one 71.86 wpm, ignoring the first character typed
Race Start January 21, 2025 5:38:03pm UTC
Race Finish January 21, 2025 5:39:15pm UTC
Outcome No win (3 of 5)
Opponents 2. ellenor (90.24 wpm)
Accuracy 96.3%
Points 83.50
Text #4940061 (Length: 431 characters)

The full beauty of the subject of generating functions emerges only from tuning in on both channels: the discrete and the continuous. See how they make the solution of difference equations into child's play. Then see how the theory of functions of a complex variable gives, virtually by inspection, the approximate size of the solution. The interplay between the two channels is vitally important for the appreciation of the music.
Characters typed The full beauty of the subject iof generating functions mememerges only from tunrinning ing in on both channels: the sdiscrete and the contiunuous . See how they make the suoilulution of difference equeaatiuonsons into child's play. Then see how the throoeeory of functions of a complesx=x fvariable gives, virtually by sinspection, the approcxiammate size of the solution. The interplay between the two channels is vitally important for the apprectioniation of the music.
Timing
Character T h e f u l l b e a u t y o f t h e s u
Milliseconds 324 155 78 93 107 141 183 109 124 77 108 93 139 78 199 92 155 45 109 77 106 62 108 107 124
Character b j e c t i -i o f g e n e r a t i n g f u n
Milliseconds 215 200 108 170 171 46 186 525 186 91 93 247 140 107 108 93 199 78 184 123 109 93 232 122 109
Character c t i o n s m e m -m -e -m e m e r g e s o n l y
Milliseconds 109 185 31 155 61 108 91 186 77 200 201 141 122 169 48 291 94 200 169 139 124 169 79 153 63
Character f r o m t u n r i n -n -i -r n i n g - -g -n -i -n
Milliseconds 109 108 154 16 76 171 60 172 119 31 170 76 278 124 139 200 139 78 63 107 308 123 156 139 154
Character i n g i n o n b o t h c h a n n e l s :
Milliseconds 309 108 140 123 186 46 170 140 77 154 185 123 77 92 156 61 154 30 154 169 216 138 139 418 184
Character t h e s -s d i s c r e t e a n d t h e c o
Milliseconds 185 92 93 92 213 217 91 140 153 184 153 124 169 307 185 140 107 61 109 76 93 62 107 108 63
Character n t i u -u n u o u s - . S e e h o w t h e
Milliseconds 62 124 169 0 357 216 168 526 186 231 138 263 170 171 169 186 124 107 169 154 45 109 76 123 47
Character y m a k e t h e s u -u o i l u -u -l -i l u t i
Milliseconds 139 92 154 65 106 78 76 109 92 78 93 154 109 261 185 16 170 202 200 140 154 248 246 186 107
Character o n o f d i f f e r e n c e e q u e a -a -e a
Milliseconds 185 78 168 155 47 108 123 309 108 154 216 46 125 107 108 215 92 125 199 141 169 201 247 123 78
Character t i u o n s -s -n -o -u o n s i n t o c h i l d '
Milliseconds 93 123 0 138 78 108 168 124 139 123 186 79 121 124 201 46 155 76 141 138 92 140 186 93 185
Character s p l a y . T h e n s e e h o w t h e
Milliseconds 139 509 168 79 62 91 310 185 170 169 47 138 170 124 168 140 78 185 155 0 154 46 140 62 107
Character t h r o -o -r o e -e -o e o r y o f f u n c t i o
Milliseconds 124 110 122 76 201 123 201 139 230 93 123 92 124 216 107 170 62 125 430 139 123 124 201 16 170
Character n s o f a c o m p l e s x -x = -= -s x f -f v
Milliseconds 77 138 93 155 76 94 92 93 186 60 46 170 62 122 170 221 133 32 186 292 93 154 326 262 78
Character a r i a b l e g i v e s , v i r t u a l l y
Milliseconds 123 447 278 94 246 155 62 109 184 140 78 137 93 139 170 262 140 108 153 93 93 138 94 92 111
Character b y s -s i n s p e c t i o n , t h e a p p r
Milliseconds 258 201 94 155 307 186 76 140 107 123 171 138 62 153 78 185 155 170 76 123 77 186 137 109 139
Character o c -c x i a m -m -a m a t e s i z e o f t h e
Milliseconds 168 137 292 247 169 202 216 201 123 340 63 121 125 168 202 122 140 170 78 153 63 107 154 92 78
Character s o l u t i o n . T h e i n t e r p l a y
Milliseconds 93 124 123 169 187 92 186 154 107 202 185 153 169 108 61 199 46 142 167 46 124 76 108 108 124
Character b e t w e e n t h e t w o c h a n n e l s
Milliseconds 170 154 138 138 170 138 62 154 61 123 76 94 122 125 137 139 106 124 45 139 124 155 200 123 122
Character i s v i t a l l y i m p o r t a n t f o r
Milliseconds 138 201 123 246 291 231 137 93 107 154 123 200 93 185 185 109 153 139 107 92 93 153 93 77 77
Character t h e a p p r e c t i o n -n -o -i -t i a t i o n
Milliseconds 93 108 46 124 292 138 109 93 108 216 138 93 154 61 278 125 153 448 216 92 122 124 153 93 154
Character o f t h e m u s i c .
Milliseconds 155 15 139 108 137 92 109 154 168 93 107 124 215
WPM Timing
Seconds WPM
1.45 83.03
2.89 99.63
4.34 85.8
5.78 80.95
7.23 83.03
8.67 76.11
10.12 77.1
11.56 78.88
13.01 70.11
14.45 67.25
15.9 70.95
17.34 69.88
18.79 69.62
20.23 70.57
21.68 70.85
23.12 68.5
24.57 69.84
26.02 72.42
27.46 69.04
28.91 69.33
30.35 69.98
31.8 68.69
33.24 67.51
34.69 68.84
36.13 68.41
37.58 68.98
39.02 69.8
40.47 68.5
41.91 68.43
43.36 70.02
44.8 68.83
46.25 67.72
47.69 68.44
49.14 68.86
50.59 68.56
52.03 69.19
53.48 69.12
54.92 67.73
56.37 68.55
57.81 69.12
59.26 69.46
60.7 70.18
62.15 70.86
63.59 71.33
65.04 71.4
66.48 71.66
67.93 72.43
69.37 71.09
70.82 71.17
72.26 71.57