Zero (kaminari_zero)

Race #27343

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Official speed 86.33 wpm (120.10 seconds elapsed during race)
Without ending ping 86.57 wpm (338 ms delay sending score to TypeRacer’s server)
Timerless 86.72 wpm (196 ms elapsed before first character typed; 119.56 seconds elapsed during race)
Timerless minus one 86.62 wpm, ignoring the first character typed
Race Start November 1, 2023 1:40:42am UTC
Race Finish November 1, 2023 1:42:42am UTC
Outcome No win (3 of 5)
Opponents 2. yaboiiiiiiiiiii (87.33 wpm)
4. jpen369 (83.15 wpm)
5. eqqu (72.75 wpm)
Accuracy 98.0%
Points 233.09
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 us understand how a chnageange in one quantity is related to a ahchange 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 o ff liquid poured into it? We see change occurring in nearly everytihign ng we observe in the world and universe, and powerful modedrn instrumnents 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 slpope of a curve at a tpoipoint P on the curve. We give precise developments of these importnat ant concepts in the next chapter, but for noew we use an informal approach so you will see how they ledaad naturlally to the main idead o of this chapter, the limit. The idea of a limit plays a foundation al role throughtouout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 196 154 122 124 112 158 230 208 149 115 97 63 128 166 180 112 108 134 119 108 67 0 108 57 139
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 97 120 182 222 115 157 223 213 154 185 75 133 110 131 184 129 90 148 110 111 59 92 72 149 57
Character c h n a g e -e -g -a -n a n g e i n o n e q u a
Milliseconds 240 110 106 0 190 78 270 137 128 128 90 120 84 49 60 165 51 55 145 75 75 123 244 91 173
Character n t i t y i s r e l a t e d t o a a h -h
Milliseconds 339 154 107 108 108 128 135 69 92 134 47 95 45 138 56 182 90 105 63 80 103 88 122 118 316
Character -a c h a n g e i n a n o t h e r . H o w d
Milliseconds 102 97 86 45 65 157 75 141 141 50 62 73 91 61 44 152 0 79 96 69 672 136 179 133 180
Character o e s t h e s p e e d o f a f a l l i n
Milliseconds 62 124 378 118 226 87 71 142 102 169 97 107 158 111 137 101 29 130 61 627 102 89 189 55 72
Character g o b j e c t c h a n g e a s a f u n c
Milliseconds 58 94 112 128 111 71 161 108 85 376 87 39 98 107 77 119 197 105 88 130 41 248 87 109 76
Character t i o n o f t i m e ? H o w d o e s t h
Milliseconds 139 27 0 59 117 210 177 111 154 64 26 75 380 67 302 59 200 189 201 64 100 106 60 184 86
Character e l e v e l o f w a t e r i n a b a r
Milliseconds 47 92 162 70 115 73 124 173 112 75 88 250 205 85 104 84 62 142 0 124 107 93 152 179 164
Character r e l c h a n g e a s a f u n c t i o n
Milliseconds 129 101 124 124 179 87 76 61 81 55 88 203 105 91 96 93 182 85 140 0 133 57 37 49 76
Character o f t h e a m o u n t o f -f - f l i q u
Milliseconds 145 79 62 79 54 81 67 126 167 108 128 177 83 136 112 130 151 421 103 95 87 137 75 201 115
Character i d p o u r e d i n t o i t ? W e s e e
Milliseconds 26 135 161 487 49 233 200 98 214 114 136 45 80 75 152 236 101 344 75 281 216 307 153 156 132
Character c h a n g e o c c u r r i n g i n n e a r
Milliseconds 87 126 91 45 91 56 80 116 187 74 136 136 125 404 139 51 75 169 136 52 79 385 74 133 0
Character l y e v e r y t i -i h i g n - -n -g n g w e
Milliseconds 199 206 100 284 132 105 80 142 0 265 410 219 93 0 105 210 240 129 113 147 75 86 183 73 193
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 261 126 228 77 26 194 132 141 107 52 46 93 90 0 138 132 62 98 93 99 113 172 63 108 26
Character u n i v e r s e , a n d p o w e r f u l m o
Milliseconds 170 207 55 256 251 105 256 180 217 53 126 66 73 61 119 55 47 74 27 179 138 108 129 211 104
Character d e d -d r n i n s t r u m n -n e n t s h e l p
Milliseconds 99 114 0 394 169 88 129 215 0 123 93 153 60 136 180 341 68 86 52 135 110 629 101 89 210
Character u s s e e m o r e a n d m o r e . I n
Milliseconds 150 161 68 96 197 78 165 134 184 82 125 54 87 132 62 75 93 260 56 66 57 155 48 242 157
Character t h i s s e c t i o n w e i n t r o d u c
Milliseconds 54 159 55 36 73 95 127 104 187 158 58 38 50 100 144 76 165 184 75 51 166 60 331 111 77
Character e t h e i d e a s o f a v e r a g e a n
Milliseconds 135 109 131 86 0 159 215 121 135 158 101 110 119 125 26 330 215 77 134 182 108 80 164 153 59
Character d i n s t a n t a n e o u s r a t e s o f
Milliseconds 128 89 111 77 71 150 121 168 154 274 166 149 241 74 123 145 154 131 153 55 213 112 137 99 62
Character c h a n g e , a n d s h o w t h a t t h e
Milliseconds 303 134 45 69 105 53 149 71 305 88 129 64 148 94 0 95 100 204 56 83 0 117 156 84 80
Character y a r e c l o s e l y r e l a t e d t o
Milliseconds 60 107 195 107 81 144 205 65 133 69 58 153 144 77 160 47 97 124 88 53 165 107 131 59 78
Character t h e s l p -p o p e o f a c u r v e a t
Milliseconds 109 90 73 60 132 120 181 430 177 134 94 137 234 124 86 131 0 265 91 103 330 53 185 250 112
Character a t p o i -i -o -p -t p o i n t P o n t h e
Milliseconds 111 274 138 403 145 0 147 281 103 107 123 236 75 100 59 0 245 363 162 158 78 51 112 87 46
Character c u r v e . W e g i v e p r e c i s e d
Milliseconds 94 129 87 105 232 99 145 101 456 135 162 207 87 76 101 63 215 150 149 382 116 224 105 110 330
Character e v e l o p m e n t s o f t h e s e i m p o
Milliseconds 161 182 78 114 135 108 205 96 118 87 117 110 117 99 65 129 57 50 164 78 81 197 103 80 25
Character r t n a t - -t -a -n a n t c o n c e p t s i n
Milliseconds 159 141 160 0 131 139 291 107 155 132 91 116 105 113 199 91 0 152 185 195 144 157 111 160 50
Character t h e n e x t c h a p t e r , b u t f o
Milliseconds 84 56 90 0 142 212 0 201 162 83 527 81 51 222 171 135 178 239 73 214 86 76 82 132 62
Character r n o e -e w w e u s e a n i n f o r m a
Milliseconds 105 78 165 54 95 403 92 84 231 74 116 160 47 87 122 170 61 108 139 71 54 121 46 151 0
Character l a p p r o a c h s o y o u w i l l s e
Milliseconds 213 173 303 64 107 119 169 97 136 110 115 199 64 81 128 60 79 101 80 97 110 157 49 103 57
Character e h o w t h e y l e d a -a -d a d n a t u r
Milliseconds 188 111 208 56 67 100 248 84 50 87 83 170 93 187 82 246 107 63 111 140 330 47 139 139 154
Character l -l a l l y t o t h e m a i n i d e a d
Milliseconds 212 388 39 119 128 101 110 131 61 82 105 84 48 67 186 72 96 97 85 166 233 124 102 106 93
Character o -o - -d o f t h i s c h a p t e r , t h e
Milliseconds 211 263 128 133 192 141 318 109 507 83 37 63 123 207 107 71 228 142 132 78 201 74 78 65 53
Character l i m i t . T h e i d e a o f a l i m
Milliseconds 86 185 132 79 159 126 194 49 213 110 52 93 256 175 155 130 163 135 105 60 276 109 189 152 128
Character i t p l a y s a f o u n d a t i o n - a l
Milliseconds 266 119 165 114 133 66 116 153 112 423 85 207 67 51 158 97 184 66 57 40 47 99 429 89 123
Character r o l e t h r o u g h t o u -u -o -t o u t c a
Milliseconds 101 228 89 131 71 93 132 80 105 88 25 52 145 132 88 74 345 130 130 233 0 97 146 223 79
Character l c u l u s .
Milliseconds 92 206 110 134 253 175 118
WPM Timing
Seconds WPM
2.4 79.94
4.8 84.93
7.21 86.6
9.61 83.68
12.01 88.93
14.41 89.93
16.81 87.07
19.22 87.43
21.62 88.26
24.02 89.43
26.42 90.38
28.82 91.59
31.23 94.54
33.63 92.78
36.03 91.59
38.43 91.18
40.83 90.81
43.24 88.82
45.64 87.56
48.04 88.68
50.44 89.21
52.84 88.11
55.24 87.75
57.65 88.68
60.05 89.33
62.45 89.35
64.85 89.37
67.25 89.39
69.66 90.27
72.06 91.09
74.46 90.57
76.86 89.46
79.26 88.56
81.67 88.6
84.07 87.93
86.47 88.68
88.87 87.63
91.27 87.69
93.68 87.49
96.08 87.93
98.48 88.34
100.88 88.14
103.28 87.84
105.69 87.32
108.09 86.93
110.49 87.21
112.89 87.06
115.29 87.01
117.7 86.77
120.1 86.33