Max (max_colemak_enjoyer)

Race #694

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Official speed 81.37 wpm (127.42 seconds elapsed during race)
Without ending ping 81.57 wpm (317 ms delay sending score to TypeRacer’s server)
Timerless 81.79 wpm (345 ms elapsed before first character typed; 126.76 seconds elapsed during race)
Timerless minus one 81.70 wpm, ignoring the first character typed
Race Start June 6, 2024 10:02:01am UTC
Race Finish June 6, 2024 10:04:08am UTC
Outcome No win (3 of 5)
Accuracy 94.4%
Points 219.70
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 Calculus is a tool that helps uns undestrstand how a change in one quianittity is realellates td to a change in another. How deooes the speed of a vfallign obng obljecject change as a function of time? How does the levef ol of water in a braarrel change as a function of the amoutnt of liquied poured into it? We see chang ee couoccuriring in nearly everything we obesesevrve in the world and unviriverse, and porwerful modern instruments help us see more and moer.re. In this section we indrtroudecduce the ideas of avaerage and isnnstatnnteaaneous rates ocf cahgnhange, and whoshow tathat they are closey ly related to the slope of a crurve at ta point P on the curve. We give precies se developmneents of these important conscepts in the next cahgpehatpetster, but for now we use an informal approacih rso you will see how they lead naturally to the main idea of this chapetter, the ilimit. The idea of a limit plays a foundational role trhohroguughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 345 116 88 136 261 427 56 130 85 149 52 70 108 122 95 100 102 224 99 113 114 19 84 34 98
Character e l p s u n -n s u n d e s t -t -s r s t a n d
Milliseconds 66 101 91 106 75 79 111 307 82 68 114 84 75 160 129 103 310 161 50 114 98 71 179 62 76
Character h o w a c h a n g e i n o n e q u i -i a
Milliseconds 142 23 58 72 113 91 76 76 101 128 87 91 92 74 72 54 263 100 18 148 86 60 158 400 96
Character n i t -t -i t i t y i s r e a l e -e -l l -l -a l a
Milliseconds 101 169 170 351 130 98 103 141 135 83 135 80 87 99 106 103 124 104 353 133 110 45 263 176 82
Character t e s t -t - -s d t o a c h a n g e i n
Milliseconds 65 88 82 647 77 213 136 126 83 92 110 47 192 108 92 43 81 88 93 86 100 187 114 68 82
Character a n o t h e r . H o w d e o -o -e o e s t h e
Milliseconds 136 79 66 83 100 58 26 190 136 312 134 66 71 88 104 168 277 131 161 93 72 104 81 96 38
Character s p e e d o f a v -v f a l l i g n o b -b
Milliseconds 62 167 136 88 114 81 72 118 106 99 105 104 113 368 82 97 113 111 142 91 0 71 90 112 192
Character -o - -n -g n g o b l j e c -c -e -j -l j e c t c h a
Milliseconds 130 134 112 171 235 92 76 114 117 102 44 13 195 147 128 132 120 152 66 66 150 64 154 85 83
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 109 135 120 67 103 74 109 96 108 89 104 98 168 122 75 34 77 95 111 52 131 69 81 100 72
Character ? H o w d o e s t h e l e v e f o -o - -f
Milliseconds 336 182 517 140 65 78 92 71 116 121 93 109 128 34 101 177 55 50 100 69 100 113 265 133 136
Character l o f w a t e r i n a b r a -a -r a r r e
Milliseconds 165 75 235 111 81 108 176 112 151 49 101 114 70 60 94 105 107 106 226 165 129 147 180 127 105
Character l c h a n g e a s a f u n c t i o n o f
Milliseconds 101 124 215 108 66 101 102 95 44 101 93 78 103 111 110 112 89 145 207 97 79 34 102 121 67
Character t h e a m o u t -t n t o f l i q u i e -e d
Milliseconds 79 138 69 73 67 91 92 66 77 41 351 130 67 84 53 64 85 89 65 153 74 124 99 376 134
Character p o u r e d i n t o i t ? W e s e e c
Milliseconds 90 165 105 172 89 349 91 80 97 45 57 128 98 342 70 221 90 265 168 65 125 46 126 53 120
Character h a n g e -e - e c o u -u -o -c o c c u r i -i r i
Milliseconds 47 88 85 91 107 43 401 123 127 55 59 104 62 264 124 146 186 127 104 58 112 97 321 118 97
Character n g i n n e a r l y e v e r y t h i n g w
Milliseconds 50 34 69 193 61 109 181 56 137 32 128 485 121 87 110 42 102 101 142 109 43 90 34 80 75
Character e o b e s e -e -s -e s e v -v r v e i n t h e
Milliseconds 62 99 199 108 110 53 160 237 138 121 64 110 82 259 127 51 99 181 135 86 95 67 117 49 90
Character w o r l d a n d u n v i r -r -i -v i v e r s e ,
Milliseconds 54 139 50 256 112 99 191 87 80 60 115 51 239 125 79 237 137 139 177 72 168 118 116 142 197
Character a n d p o r -r w e r f u l m o d e r n i n
Milliseconds 123 100 113 41 90 154 99 100 313 44 125 78 181 117 78 120 242 41 136 92 72 330 95 112 65
Character s t r u m e n t s h e l p u s s e e m o r
Milliseconds 84 91 85 147 117 136 97 70 97 82 109 80 261 153 204 102 66 117 69 113 116 87 82 66 100
Character e a n d m o e r . -. -r -e r e . I n t h i s
Milliseconds 99 80 139 106 59 67 101 62 137 19 209 238 132 122 108 67 165 25 286 222 70 95 76 62 66
Character s e c t i o n w e i n d r -r -d t r o u d e c
Milliseconds 23 122 342 135 134 77 99 19 122 59 73 94 98 67 104 195 238 143 27 74 90 70 43 138 50
Character -c -e -d -u d u c e t h e i d e a s o f a v a
Milliseconds 178 133 250 148 98 81 110 131 83 70 85 68 44 177 127 104 70 78 80 99 67 136 171 161 90
Character -a e r a g e a n d i s n -n -s n s t a t n -n -t n
Milliseconds 236 218 107 112 116 108 86 139 166 126 94 158 92 0 350 119 130 74 79 47 185 51 268 121 93
Character t e a -a -e a n e o u s r a t e s o c -c f c a
Milliseconds 512 153 82 265 107 65 77 64 107 190 124 93 274 138 101 89 73 99 124 114 240 31 132 95 71
Character h g n -n -g -h -a h a n g e , a n d w h o -o -h -w s
Milliseconds 67 152 52 158 152 130 122 134 77 133 104 116 238 141 294 114 60 68 119 183 83 213 136 129 93
Character h o w t a t -t -a h a t t h e y a r e c l o
Milliseconds 83 82 0 118 95 106 89 315 185 246 76 49 68 84 67 65 46 72 113 83 133 119 54 146 66
Character s e y - -y l y r e l a t e d t o t h e s
Milliseconds 135 132 100 154 298 131 218 72 79 117 196 151 115 86 89 112 70 98 152 104 143 31 81 121 173
Character l o p e o f a c r -r u r v e a t t -t a
Milliseconds 143 63 108 80 118 95 85 87 98 119 95 57 298 196 80 120 80 103 83 132 136 177 238 81 87
Character p o i n t P o n t h e c u r v e . W e
Milliseconds 72 77 99 18 57 113 292 142 97 100 89 119 256 98 136 107 251 289 100 92 181 130 175 113 82
Character g i v e p r e c i e s - -s -e s e d e v e l o
Milliseconds 77 79 90 260 131 77 72 160 275 110 72 93 87 293 139 134 583 101 60 238 90 283 127 153 292
Character p m n e -e -n e n t s o f t h e s e i m p o r
Milliseconds 18 434 283 43 308 119 114 54 37 80 66 148 37 95 75 91 33 152 116 116 110 81 78 146 83
Character t a n t c o n s -s c e p t s i n t h e n e
Milliseconds 122 116 153 96 115 119 87 48 115 312 101 105 146 206 110 140 130 71 45 49 100 64 20 136 102
Character x t c a h g p e -e -p -g -h -a h a t -t p e t s -s -t -e
Milliseconds 148 64 104 155 124 120 84 30 88 196 138 134 125 426 145 112 86 240 136 95 92 100 249 150 135
Character t e r , b u t f o r n o w w e u s e a
Milliseconds 293 90 75 134 93 252 105 76 86 99 123 116 129 420 84 79 122 274 114 42 192 85 186 170 92
Character n i n f o r m a l a p p r o a c i -i h r -r s
Milliseconds 175 98 120 63 47 158 109 120 72 175 91 107 111 106 100 106 80 97 96 415 133 95 74 243 106
Character o y o u w i l l s e e h o w t h e y l
Milliseconds 79 114 85 88 106 84 54 89 127 117 83 89 79 136 77 99 49 59 79 138 94 37 84 166 225
Character e a d n a t u r a l l y t o t h e m a i n
Milliseconds 52 82 75 67 123 103 84 95 93 145 141 132 129 149 70 95 97 77 75 50 78 138 74 124 35
Character i d e a o f t h i s c h a p e t -t -e t e r
Milliseconds 82 140 95 138 44 136 88 100 70 59 116 50 34 84 70 100 62 159 297 126 254 123 79 65 86
Character , t h e i -i l i m i t . T h e i d e a o
Milliseconds 95 50 105 50 61 85 174 264 78 166 103 98 116 100 71 219 125 98 35 87 108 90 154 129 149
Character f a l i m i t p l a y s a f o u n d a t
Milliseconds 41 87 153 109 128 99 134 89 86 93 146 161 63 119 99 94 84 104 95 96 104 66 152 70 118
Character i o n a l r o l e t r h o -o -h -r h r o g u -u -g
Milliseconds 75 77 74 134 105 73 163 96 166 77 112 79 54 102 75 294 109 155 206 93 43 166 68 363 153
Character u g h o u t c a l c u l u s .
Milliseconds 179 135 87 64 67 86 81 132 68 88 147 91 207 82 211 95
WPM Timing
Seconds WPM
2.55 80.05
5.1 87.11
7.65 94.18
10.19 84.76
12.74 77.23
15.29 76.91
17.84 77.36
20.39 80.05
22.94 74.3
25.48 77.23
28.03 78.77
30.58 78.48
33.13 78.6
35.68 81.4
38.23 81.94
40.77 82.11
43.32 80.88
45.87 81.1
48.42 81.29
50.97 81.7
53.52 80.95
56.06 81.12
58.61 82.3
61.16 82.41
63.71 83.07
66.26 82.04
68.81 82.32
71.35 80.89
73.9 80.54
76.45 79.74
79 78.84
81.55 79.02
84.1 80.05
86.64 80.19
89.19 80.19
91.74 79.53
94.29 78.78
96.84 79.43
99.39 79.93
101.93 78.64
104.48 78.21
107.03 78.48
109.58 78.52
112.13 79.52
114.68 80.47
117.22 80.97
119.77 81.15
122.32 81.92
124.87 81.49
127.42 81.37