Ultimate_Coder (ultimate_coder)

Race #5169

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Official speed 111.02 wpm (46.59 seconds elapsed during race)
Without ending ping 111.37 wpm (145 ms delay sending score to TypeRacer’s server)
Timerless 112.30 wpm (384 ms elapsed before first character typed; 46.06 seconds elapsed during race)
Timerless minus one 112.04 wpm, ignoring the first character typed
Race Start March 15, 2025 1:21:32am UTC
Race Finish March 15, 2025 1:22:18am UTC
Outcome Win (1 of 5)
Accuracy 99.0%
Points 129.52
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 beatuuty of the subject of generating functions emerges only from tuning in on both channels: the discrete and thec ontthe 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 inspection the inspection, the approximate size of the solution. The interplay between the two channels is vitally important for the appreceiation of the music.
Timing
Character T h e f u l l b e a t u -u -t u t y o f t h
Milliseconds 384 167 74 109 58 42 183 124 68 150 66 101 41 75 291 142 110 99 102 106 158 50 67 183 92
Character e s u b j e c t o f g e n e r a t i n g f
Milliseconds 117 83 58 168 116 116 158 42 150 25 128 39 41 267 58 59 100 41 133 59 58 59 67 41 108
Character u n c t i o n s e m e r g e s o n l y f r o
Milliseconds 42 158 75 142 75 25 25 67 66 159 108 50 133 142 383 83 84 160 81 176 141 84 108 58 100
Character m t u n i n g i n o n b o t h c h a n n
Milliseconds 59 108 75 75 42 133 84 58 58 117 83 75 150 75 146 129 58 142 50 50 116 68 74 51 124
Character e l s : t h e d i s c r e t e a n d t h e
Milliseconds 159 91 26 249 92 117 58 66 59 108 92 100 270 55 158 135 99 34 115 101 75 83 58 59 75
Character c o n t -o -n -t -t -h -e -c - t h e c o n t i n u o
Milliseconds 83 8 108 51 108 258 0 0 142 0 0 0 0 260 57 66 50 92 94 64 51 133 57 210 211
Character u s . S e e h o w t h e y m a k e t h e
Milliseconds 72 92 99 84 158 133 125 59 50 83 83 92 86 47 67 35 90 17 83 67 25 75 50 50 58
Character s o l u t i o n o f d i f f e r e n c e e
Milliseconds 66 51 91 53 166 106 83 34 50 58 117 58 34 151 48 76 158 119 123 100 83 58 109 100 99
Character q u a t i o n s i n t o c h i l d ' s p l a
Milliseconds 109 100 91 92 133 150 126 158 75 141 76 83 93 77 72 66 0 84 125 115 111 56 109 92 83
Character y . T h e n s e e h o w t h e t h e o r
Milliseconds 134 125 100 149 169 65 66 75 344 82 118 65 67 101 59 140 41 62 81 24 133 60 32 58 142
Character y o f f u n c t i o n s o f a c o m p l
Milliseconds 259 124 159 108 91 134 108 188 72 159 25 48 33 92 25 125 50 50 76 66 100 77 100 64 125
Character e x v a r i a b l e g i v e s , v i r t u a
Milliseconds 59 58 99 161 132 66 133 76 108 67 40 34 67 92 74 93 99 88 71 41 101 141 233 167 85
Character l l y b y i n s p e c t i o n t h e -t -h -e
Milliseconds 99 100 124 75 244 90 66 101 58 100 108 125 61 158 66 40 25 100 50 58 67 59 351 0 0
Character - -i -n -s -p -e -c -t -i -o -n - i n s p e c t i o n t h
Milliseconds 0 132 0 0 0 0 0 0 0 0 0 0 219 65 74 117 134 74 168 57 33 34 50 75 51
Character e -t -h -e - -i -n -s -p -e -c -t -i -o -n - i n s p e c t i
Milliseconds 93 23 325 0 0 0 116 0 0 0 0 0 0 0 0 0 0 617 42 91 125 117 67 141 67
Character o n , t h e a p p r o x i m a t e s i z e
Milliseconds 26 49 243 107 41 59 67 66 252 74 99 75 100 101 91 125 75 99 100 59 67 58 136 31 168
Character o f t h e s o l u t i o n . T h e i n t e
Milliseconds 50 65 84 24 34 58 67 83 43 90 154 88 108 34 50 159 108 201 219 63 92 83 50 50 127
Character r p l a y b e t w e e n t h e t w o c h a
Milliseconds 89 100 76 108 100 75 91 34 141 169 83 148 34 50 50 50 91 34 58 193 66 59 57 51 74
Character n n e l s i s v i t a l l y i m p o r t a n
Milliseconds 158 143 142 65 67 83 85 107 17 176 41 152 72 125 109 108 84 74 116 52 159 32 151 66 107
Character t f o r t h e a p p r e c e -e i a t i o n
Milliseconds 51 67 141 33 42 117 58 92 42 108 40 102 108 50 142 66 117 211 99 125 73 109 41 58 84
Character o f t h e m u s i c .
Milliseconds 133 52 26 55 50 84 41 75 117 108 91 26 133
WPM Timing
Seconds WPM
0.93 77.28
1.86 77.28
2.8 81.57
3.73 86.94
4.66 92.73
5.59 103.03
6.52 108.55
7.45 104.64
8.39 107.33
9.32 109.47
10.25 111.23
11.18 112.69
12.11 110.96
13.04 108.55
13.98 103.89
14.91 104.64
15.84 105.31
16.77 110.19
17.7 112.52
18.63 113.34
19.57 113.46
20.5 113.57
21.43 114.79
22.36 114.3
23.29 114.37
24.22 114.43
25.16 114.01
26.09 115.91
27.02 115.91
27.95 117.63
28.88 116.75
29.82 115.51
30.75 112.01
31.68 108.72
32.61 105.61
33.54 103.39
34.47 103.73
35.41 104.05
36.34 105.02
37.27 106.25
38.2 106.18
39.13 107.02
40.06 107.83
41 108.6
41.93 109.05
42.86 109.19
43.79 110.16
44.72 110.28
45.65 110.39
46.59 111.02