WatchEuropaTheLastBattle (watch_europa_the_last_battle)

Race #1427

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Official speed 105.24 wpm (49.14 seconds elapsed during race)
Without ending ping 105.77 wpm (248 ms delay sending score to TypeRacer’s server)
Timerless 107.59 wpm (826 ms elapsed before first character typed; 48.07 seconds elapsed during race)
Timerless minus one 107.34 wpm, ignoring the first character typed
Race Start April 25, 2024 7:53:52am UTC
Race Finish April 25, 2024 7:54:41am UTC
Outcome Win (1 of 5)
Accuracy 97.9%
Points 122.78
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 of generating functions emerges only from tuning in on both channels: the discrete and the couintinuous. See how they make the solution of difffererence equations into child's play. Then see how the tghheory of functions of a complex variable gives, givirtually by inspection, the papproxiatemate size of the solution. The interplay between the two channels ivs vitally imporatnttant for the appreciation 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 826 125 94 79 79 108 175 156 78 93 108 63 63 95 94 63 63 94 65 140 78 78 77 112 140
Character b j e c t o f g e n e r a t i n g f u n c t
Milliseconds 173 124 79 204 140 63 48 108 107 141 156 378 140 94 125 77 140 79 79 63 186 124 172 77 141
Character i o n s e m e r g e s o n l y f r o m t u
Milliseconds 157 517 78 124 94 125 63 92 79 155 92 63 46 62 93 126 79 47 94 140 78 108 47 109 79
Character n i n g i n o n b o t h c h a n n e l s :
Milliseconds 170 94 78 94 62 46 46 79 79 92 219 156 110 79 79 62 80 110 46 201 124 127 77 109 237
Character t h e d i s c r e t e a n d t h e c o u
Milliseconds 47 79 77 78 63 140 111 172 420 155 61 142 62 109 79 79 62 78 79 63 61 63 124 63 62
Character i -i -u n t i n u o u s . S e e h o w t h e y
Milliseconds 315 218 111 233 109 109 94 203 142 110 157 77 96 144 141 125 76 79 65 59 62 93 62 79 93
Character m a k e t h e s o l u t i o n o f d i f
Milliseconds 64 141 64 94 62 94 48 93 47 125 155 95 168 79 93 63 47 62 32 93 63 79 186 109 79
Character f f e r -r -e -f e r e n c e e q u a t i o n s i
Milliseconds 109 157 124 95 172 128 126 46 63 79 110 77 156 79 125 172 108 110 125 140 31 48 77 79 31
Character n t o c h i l d ' s p l a y . T h e n s e
Milliseconds 62 62 96 95 94 62 63 48 94 97 61 93 62 47 110 80 173 77 111 80 78 93 78 15 79
Character e h o w t h e t g h -h -g h e o r y o f f
Milliseconds 125 108 78 47 30 93 63 108 32 94 94 0 78 316 110 187 77 47 108 110 62 80 93 125 110
Character u n c t i o n s o f a c o m p l e x v a r
Milliseconds 220 171 51 167 126 62 30 47 94 76 125 62 109 47 142 220 110 31 94 31 157 141 77 140 78
Character i a b l e g i v e s , g i -i -g v i r t u a l l
Milliseconds 141 111 62 110 94 95 63 94 79 110 47 79 63 126 95 235 140 109 96 75 111 108 61 126 125
Character y b y i n s p e c t i o n , t h e p -p a p
Milliseconds 96 79 125 140 63 109 109 15 174 61 205 157 94 63 48 187 48 94 62 94 46 62 314 202 127
Character p r o x i a t e -e -t -a m a t e s i z e o f t
Milliseconds 128 64 111 80 94 169 94 62 389 126 406 171 111 62 63 62 108 78 127 139 187 63 94 62 94
Character h e s o l u t i o n . T h e i n t e r p l a
Milliseconds 46 63 81 92 63 155 78 125 76 48 30 157 94 110 63 80 79 93 77 109 124 64 125 62 79
Character y b e t w e e n t h e t w o c h a n n e l
Milliseconds 79 93 110 47 110 109 110 141 142 110 124 93 78 78 92 95 125 93 232 95 79 109 110 94 93
Character s i v -v s v i t a l l y i m p o r a t n t -t
Milliseconds 95 80 48 218 326 77 78 109 95 77 109 109 157 62 63 78 111 46 47 111 126 32 127 108 188
Character -n -t -a t a n t f o r t h e a p p r e c i a t
Milliseconds 126 141 127 63 94 95 95 93 126 61 78 94 77 64 64 77 96 78 140 47 47 188 61 93 62
Character i o n o f t h e m u s i c .
Milliseconds 78 63 46 63 110 62 111 139 95 108 32 95 141 63 78 95 124
WPM Timing
Seconds WPM
0.98 24.42
1.97 67.15
2.95 93.6
3.93 94.62
4.91 90.35
5.9 93.6
6.88 88.95
7.86 91.57
8.85 96.31
9.83 101.33
10.81 102.11
11.79 101.74
12.78 101.43
13.76 102.03
14.74 100.93
15.73 98.43
16.71 98.39
17.69 101.06
18.68 102.17
19.66 104.39
20.64 101.16
21.62 101.56
22.61 103.51
23.59 105.3
24.57 107.44
25.56 106.12
26.54 106.71
27.52 106.83
28.5 106.93
29.49 107.44
30.47 107.91
31.45 106.83
32.44 107.29
33.42 106.65
34.4 106.04
35.38 105.13
36.37 102.62
37.35 102.81
38.33 103.93
39.32 104.69
40.3 105.41
41.28 105.52
42.26 105.62
43.25 104.61
44.23 105.27
45.21 104.04
46.2 103.65
47.18 104.54
48.16 105.39
49.14 105.24