hugo ツ AZERTY enjoyer (exhorder)

Race #4119

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Official speed 101.45 wpm (102.20 seconds elapsed during race)
Without ending ping 101.84 wpm (388 ms delay sending score to TypeRacer’s server)
Timerless 102.23 wpm (390 ms elapsed before first character typed; 101.42 seconds elapsed during race)
Timerless minus one 102.11 wpm, ignoring the first character typed
Race Start October 25, 2023 1:48:19pm UTC
Race Finish October 25, 2023 1:50:01pm UTC
Outcome No win (2 of 5)
Opponents 1. bitbat (127.84 wpm)
3. yowhatsupitsmejacksonschlacks (97.72 wpm)
Accuracy 96.1%
Points 273.91
Text #4940058 (Length: 864 characters)

Calculus is a tool that helps us understand how a change in one quantity is related to a change in another. How does the speed of a falling object change as a function of time? How does the level of water in a barrel change as a function of the amount of liquid poured into it? We see change occurring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas of average and instantaneous rates of change, and show that they are closely related to the slope of a curve at a point P on the curve. We give precise developments of these important concepts in the next chapter, but for now we use an informal approach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Characters typed Calcuillus is a tool that helps usu n understand how a change in one quantity is relaetd tted to a change in another. How does gtehththe speed of a falling object change as a function of time? How does the lelve of ve lof ll of water in a barrel change as a function fo teh fo teh fo tehof the amounft ot of liquid opopoured into it? We see change occurring in nearly everyghthing we observe in teh worlohe world and universe, and powerful modern insgtrutruments help us see more and more. In this setionction we introduce the ideas of acveverage and instantenanoeous rates of change, eand show that they are closely raelated to the slopeo fa ofa c a curvea ata po a point P on the curve. We give precise development os of tehse ihese important conncepts in the next chapter, but for now we us ane an infformal approach so you will see how they lead naturallyt t to the main idea of this caphapter, the limit. The idea ofa l a limit plays a foundational role throughout calculus.
Timing
Character C a l c u i l -l -i l u s i s a t o o l t h
Milliseconds 390 150 19 99 70 0 180 138 128 190 174 46 77 77 60 76 92 94 181 53 104 123 61 48 92
Character a t h e l p s u s u n -n - -u u n d e r s t
Milliseconds 20 76 82 78 103 35 106 79 74 34 186 301 0 74 359 137 76 95 70 134 32 128 37 143 102
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 65 19 116 51 43 128 45 27 144 89 96 79 81 52 80 43 72 40 112 43 126 111 40 40 53
Character u a n t i t y i s r e l a e t d t -t - -d -t -e
Milliseconds 84 79 56 80 87 47 163 67 125 71 58 104 19 99 53 93 0 158 81 47 136 113 120 103 136
Character t e d t o a c h a n g e i n a n o t h e
Milliseconds 56 52 172 24 82 86 136 48 130 72 59 51 88 40 52 51 62 115 53 67 53 132 73 111 41
Character r . H o w d o e s g t e h -h -e -t t h -h -t -g t
Milliseconds 52 249 41 120 136 40 53 47 100 91 135 81 65 0 94 0 254 121 119 152 145 184 127 88 65
Character h e s p e e d o f a f a l l i n g o b j
Milliseconds 87 64 42 97 79 152 132 126 35 50 52 94 38 135 16 92 68 96 135 109 57 75 53 47 78
Character e c t c h a n g e a s a f u n c t i o n
Milliseconds 50 195 129 72 48 100 65 43 113 39 87 177 143 41 70 115 36 87 109 48 121 47 111 140 68
Character o f t i m e ? H o w d o e s t h e l e l
Milliseconds 82 28 92 59 66 131 63 216 67 101 128 41 87 24 105 88 94 65 80 25 185 70 104 88 75
Character v e o f - -f -o - -e -v -l v e l o f - -f -o -l -
Milliseconds 28 65 54 99 65 73 174 120 128 138 111 118 106 79 22 54 27 136 90 45 162 120 138 113 108
Character l -l - l o f w a t e r i n a b a r r e
Milliseconds 88 35 277 94 114 33 102 24 53 89 171 40 80 83 29 54 98 57 80 87 64 75 101 146 46
Character l c h a n g e a s a f u n c t i o n f o
Milliseconds 97 73 78 60 48 91 75 46 71 89 124 107 233 136 128 80 129 23 128 40 120 128 52 110 0
Character t e h - -h -e -t - -o -f f o t e h - -h -e -t - -o
Milliseconds 87 67 101 21 67 135 112 138 119 107 124 90 104 0 87 80 69 0 75 200 128 127 128 112 120
Character -f f o t e h -h -e -t - -o -f o f t h e a m o u n
Milliseconds 103 106 0 87 56 96 40 216 111 137 124 115 112 121 48 138 94 111 81 64 177 86 176 129 128
Character f t o -o - -t -f t o f l i q u i d o p o -o -p
Milliseconds 75 0 61 58 262 119 120 104 53 44 104 60 59 89 111 61 132 44 56 76 65 0 119 183 153
Character -o p o u r e d i n t o i t ? W e s e e c
Milliseconds 144 111 121 133 19 39 128 49 28 116 88 88 87 122 94 209 120 47 185 87 129 184 135 21 75
Character h a n g e o c c u r r i n g i n n e a r l y
Milliseconds 161 39 48 45 56 32 99 61 132 95 80 137 28 120 52 48 92 108 28 107 53 27 145 52 106
Character e v e r y g h -h -g t h i n g w e o b s e r v
Milliseconds 73 66 110 84 85 27 235 0 283 127 183 161 50 120 38 78 79 122 100 45 146 31 168 19 198
Character e i n t e h w o r l o -o -l -r -o -w - -h -e h e
Milliseconds 46 60 98 122 52 60 110 0 65 96 21 107 26 0 206 129 135 120 120 128 112 97 170 46 73
Character w o r l d a n d u n i v e r s e , a n d p
Milliseconds 70 53 100 33 99 182 45 81 103 80 20 116 156 18 82 120 79 84 110 90 15 51 100 49 79
Character o w e r f u l m o d e r n i n s g t r u -u -r -t
Milliseconds 103 26 79 44 140 37 138 48 123 109 49 135 29 94 0 141 103 49 145 0 44 32 273 123 119
Character -g t r u m e n t s h e l p u s s e e m o r
Milliseconds 137 60 67 81 175 74 78 48 88 87 145 104 104 113 62 83 51 67 91 126 151 160 96 115 25
Character e a n d m o r e . I n t h i s s e t i o
Milliseconds 50 44 55 47 76 49 75 104 40 40 233 28 123 114 78 66 86 100 44 111 66 143 256 62 154
Character n -n -o -i -t c t i o n w e i n t r o d u c e t
Milliseconds 184 168 120 128 96 48 128 40 128 172 0 41 115 63 89 109 131 61 123 64 104 55 53 65 98
Character h e i d e a s o f a c v e -e -v -c v e r a g e
Milliseconds 65 52 68 54 55 154 65 96 55 47 67 96 119 157 0 91 343 113 109 83 63 138 59 92 48
Character a n d i n s t a n t e n -n -e a n o -o e o u s
Milliseconds 56 23 123 119 71 236 116 52 123 83 96 128 51 126 327 112 79 91 150 217 62 57 119 41 86
Character r a t e s o f c h a n g e , e -e a n d s h
Milliseconds 40 88 97 55 138 52 54 64 92 120 40 352 80 104 29 106 72 72 262 83 80 56 52 84 80
Character o w t h a t t h e y a r e c l o s e l y
Milliseconds 128 40 88 89 89 31 88 32 111 60 166 0 110 311 97 52 67 96 45 108 28 172 73 142 98
Character r a -a e l a t e d t o t h e s l o p e o f
Milliseconds 74 78 246 104 53 75 121 27 172 51 50 44 60 40 67 22 91 66 55 127 112 87 64 27 167
Character a - -a -f - -o o f a c -c - -a a c u r v e a
Milliseconds 109 0 140 127 127 119 89 68 56 58 108 94 199 186 125 100 30 52 116 31 113 75 151 50 126
Character - - -a a t a p o -o -p - - -a a p o i n
Milliseconds 0 230 151 133 115 25 36 99 125 0 147 104 137 167 136 126 114 80 91 26 109 118 104 163 85
Character t P o n t h e c u r v e . W e g i v e
Milliseconds 53 24 259 53 126 119 23 81 64 60 71 94 87 87 152 38 228 39 97 208 60 60 88 94 56
Character p r e c i s e d e v e l o p m e n t o -o - s
Milliseconds 48 39 99 50 139 64 81 71 57 125 156 70 81 24 113 159 105 91 67 64 69 248 77 105 42
Character o f t e h s e i -i - -e -s -h -e h e s e i m p
Milliseconds 52 75 46 98 50 77 0 165 53 51 113 173 115 128 112 120 91 134 27 60 88 0 541 147 145
Character o r t a n t c o n -n n c e p t s i n t h e
Milliseconds 105 33 33 109 37 108 87 272 63 129 256 277 50 61 88 51 105 47 62 107 40 87 43 50 109
Character n e x t c h a p t e r , b u t f o r n o w
Milliseconds 46 136 169 108 92 100 51 61 110 53 53 83 89 25 91 108 63 88 73 64 79 40 88 163 29
Character w e u s a n -n -a - e a n i n f -f f o r m
Milliseconds 31 130 111 66 55 87 113 191 113 232 127 88 72 0 49 95 113 105 120 95 177 216 111 97 55
Character a l a p p r o a c h s o y o u w i l l s
Milliseconds 68 72 48 77 94 97 97 59 179 64 97 119 73 71 89 79 40 113 39 40 70 162 81 60 36
Character e e h o w t h e y l e a d n a t u r a l l
Milliseconds 143 121 40 56 127 48 112 88 68 77 48 81 72 86 37 117 51 43 322 151 72 71 48 56 105
Character y t t -t - -t t o t h e m a i n i d e a
Milliseconds 62 0 54 105 171 128 136 79 56 53 139 320 96 119 41 48 55 113 97 95 92 51 105 54 31
Character o f t h i s c a p -p -a h a p t e r , t h e
Milliseconds 84 31 77 69 46 124 49 72 187 40 305 175 111 51 121 0 58 109 39 95 43 77 41 60 36
Character l i m i t . T h e i d e a o f a l -l - -a
Milliseconds 80 135 125 140 35 261 54 43 88 40 63 63 73 164 37 45 42 72 74 0 278 191 111 129 53
Character a l i m i t p l a y s a f o u n d a t i o
Milliseconds 43 140 57 227 152 144 41 32 66 109 48 155 34 76 37 100 66 65 131 121 39 40 141 29 102
Character n a l r o l e t h r o u g h o u t c a l c u
Milliseconds 137 72 74 43 57 103 75 45 42 225 142 72 0 121 73 43 172 128 32 61 107 53 48 115 73
Character l u s .
Milliseconds 127 160 41 192
WPM Timing
Seconds WPM
2.04 76.32
4.09 93.94
6.13 99.81
8.18 114.48
10.22 106.85
12.26 113.51
14.31 104
16.35 109.35
18.4 112.85
20.44 112.72
22.48 103.54
24.53 104.21
26.57 106.13
28.62 99.81
30.66 93.15
32.7 91.73
34.75 92.21
36.79 93.28
38.84 96.72
40.88 95.99
42.92 94.49
44.97 95.54
47.01 98.02
49.06 96.87
51.1 98.87
53.14 97.32
55.19 99.15
57.23 98.97
59.27 97.78
61.32 98.63
63.36 99.24
65.41 99.62
67.45 99.45
69.49 97.91
71.54 96.62
73.58 97.36
75.63 98.7
77.67 97.03
79.71 97.1
81.76 97.31
83.8 98.8
85.85 97.71
87.89 98.85
89.93 99.67
91.98 99.55
94.02 99.55
96.07 100.81
98.11 100.42
100.15 101.24
102.2 101.45