White Darkness (white_darkness)

Race #341

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Official speed 76.09 wpm (136.26 seconds elapsed during race)
Without ending ping 76.23 wpm (249 ms delay sending score to TypeRacer’s server)
Timerless 76.62 wpm (702 ms elapsed before first character typed; 135.31 seconds elapsed during race)
Timerless minus one 76.54 wpm, ignoring the first character typed
Race Start October 14, 2023 8:34:10pm UTC
Race Finish October 14, 2023 8:36:27pm UTC
Outcome No win (4 of 5)
Opponents 1. bobva (116.20 wpm)
2. yambda (105.03 wpm)
Accuracy 96.5%
Points 205.45
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 change in one quantity is realtlated to a chnange in another. How does the speed of a falling object achange as a fucntioction of time? How does athe level of water in a vabarrel change as a fucnnction of the ammount of liquid puoured into it? Wee see change occurinrring in nearly evertyything we obsevreve in the world and universe, and powerful modenrn instruments help us see more and more. In this section we iintruoduce the idaead s of avertagaage and instantaneous rates of change, and whoshow that they are closely realated to the slope of a curve at a point P on athe curve. We give precise developments of these important concepts ni in the nteext chapter, but for now we use an informal approach so yuo ou will see how they lead naturally to the amain idea of this chapter, the limit. The idea of a milimit playes a foundationlal forole throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 702 290 126 295 92 331 172 85 89 176 69 102 92 199 123 91 434 266 101 159 83 47 67 80 123
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 103 82 131 123 102 117 228 112 209 155 35 151 57 144 133 43 118 66 84 128 44 89 75 124 86
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 105 93 110 169 91 66 66 189 43 116 162 98 83 111 351 101 123 136 217 81 96 134 362 142 138
Character r e a l t -t -l -a l a t e d t o a c h n -n a
Milliseconds 80 172 65 30 113 161 196 119 106 286 58 133 88 157 75 104 55 93 208 98 109 78 210 381 116
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 91 101 56 87 201 57 87 51 155 58 98 111 81 49 91 73 207 84 172 158 262 72 98 54 85
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 436 61 95 105 229 89 94 136 122 93 132 99 79 74 125 247 44 57 136 159 145 42 121 135 82
Character j e c t a -a c h a n g e a s a f u c -c n t
Milliseconds 136 139 357 165 103 59 380 88 109 69 112 83 72 84 107 89 142 81 97 489 124 167 457 155 107
Character i o -o -i -t c t i o n o f t i m e ? H o w d
Milliseconds 110 72 292 101 115 94 385 87 48 109 101 105 107 62 148 73 56 65 257 84 243 160 125 130 195
Character o e s a -a t h e l e v e l o f w a t e r
Milliseconds 80 89 52 90 101 466 83 104 47 86 148 57 166 128 82 106 152 74 98 137 58 159 128 41 87
Character i n a v a -a -v b a r r e l c h a n g e a s
Milliseconds 156 34 83 61 147 226 82 363 106 79 56 218 245 648 65 79 176 69 56 289 77 178 128 84 137
Character a f u c n -n -c n c t i o n o f t h e a m
Milliseconds 100 120 147 184 82 113 192 216 102 166 99 189 25 59 87 120 154 102 77 120 48 94 90 125 121
Character m -m o u n t o f l i q u i d p u -u o u r e d
Milliseconds 132 257 200 84 184 557 114 144 73 70 350 73 165 120 339 700 97 218 99 347 168 66 264 71 158
Character i n t o i t ? W e e - -e s e e c h a n
Milliseconds 84 148 52 112 129 121 477 71 261 89 215 221 136 189 210 113 88 89 63 172 124 169 68 69 134
Character g e o c c u r i n -n r -r -i r i n g i n n e a
Milliseconds 99 55 50 184 189 140 125 97 96 172 220 128 128 130 94 130 121 78 125 164 27 105 316 63 52
Character r l y e v e r t y -y -t y t h i n g w e o b s
Milliseconds 175 78 151 82 166 159 218 0 136 97 380 106 221 98 96 68 152 119 140 223 58 104 211 107 256
Character e v -v r e -e v e i n t h e w o r l d a n d
Milliseconds 66 189 275 61 343 277 143 132 114 155 47 104 65 90 57 101 101 50 112 80 136 104 224 71 103
Character u n i v e r s e , a n d p o w e r f u l m
Milliseconds 60 357 177 75 99 663 50 180 50 144 103 86 90 75 88 133 36 148 31 47 537 45 156 120 320
Character o d e n -n r n i n s t r u m e n t s h e l p
Milliseconds 130 215 136 423 256 95 80 83 139 58 204 148 166 75 358 90 87 125 60 243 266 129 79 111 99
Character u s s e e m o r e a n d m o r e . I n
Milliseconds 234 142 95 202 59 167 92 123 78 71 63 146 75 128 87 80 185 76 83 56 95 107 209 184 104
Character t h i s s e c t i o n w e i -i i n t r u -u o
Milliseconds 110 92 44 68 106 139 86 110 180 67 49 182 92 195 87 86 206 293 521 106 142 155 117 292 180
Character d u c e t h e i d a -a e a d - -d s o f a
Milliseconds 103 729 76 139 104 99 47 93 63 130 113 132 305 63 68 458 115 242 119 64 81 220 97 88 327
Character v e r t a -a -t g a -a -g a g e a n d i n s t a n
Milliseconds 176 143 64 216 61 387 121 107 73 278 123 67 74 117 46 218 97 98 94 124 59 161 149 62 200
Character t a n e o u s r a t e s o f c h a n g e ,
Milliseconds 504 38 395 140 299 68 113 114 228 24 169 66 102 117 143 53 99 332 96 86 94 106 67 52 71
Character a n d w h o -o -h -w s h o w t h a t t h e y
Milliseconds 82 106 83 81 142 36 64 348 114 104 110 126 52 76 94 175 68 74 46 46 126 93 67 48 85
Character a r e c l o s e l y r e a -a l a t e d t o
Milliseconds 87 136 59 68 158 98 154 90 53 241 155 79 196 43 66 399 205 80 116 81 151 99 96 95 104
Character t h e s l o p e o f a c u r v e a t a
Milliseconds 102 91 74 92 129 87 148 102 336 136 130 88 67 126 118 187 101 150 200 78 97 149 256 108 94
Character p o i n t P o n a -a t h e c u r v e .
Milliseconds 108 399 124 256 162 82 370 248 114 195 134 105 89 304 90 95 87 67 88 142 119 312 165 69 75
Character W e g i v e p r e c i s e d e v e l o p m e
Milliseconds 232 171 104 116 68 108 63 78 208 92 524 209 75 178 69 146 486 168 150 141 44 167 50 283 73
Character n t s o f t h e s e i m p o r t a n t c o
Milliseconds 108 139 66 82 186 80 87 169 83 382 165 40 126 181 72 124 70 157 189 55 43 106 90 167 89
Character n c e p t s n i - -i -n i n t h e n t e -e -t
Milliseconds 74 239 54 110 162 80 93 205 0 102 317 109 83 226 83 76 77 85 52 114 433 261 0 256 103
Character e x t c h a p t e r , b u t f o r n o w
Milliseconds 119 1154 0 77 280 110 72 400 377 151 48 79 61 144 42 161 29 307 38 123 60 149 60 83 84
Character w e u s e a n i n f o r m a l a p p r o a
Milliseconds 211 45 109 275 87 45 99 287 121 89 190 60 284 101 100 106 115 58 102 197 125 108 146 123 134
Character c h s o y u o - -o -u o u w i l l s e e
Milliseconds 326 62 139 179 83 50 288 166 0 80 360 130 85 197 60 125 69 87 141 124 76 135 72 113 101
Character h o w t h e y l e a d n a t u r a l l y t
Milliseconds 149 107 50 81 194 58 84 40 84 145 61 60 126 109 161 80 197 90 274 45 72 136 147 65 151
Character o t h e a -a m a i n i d e a o f t h i s
Milliseconds 48 89 131 80 87 68 185 316 160 89 58 74 77 152 143 221 70 186 208 83 81 106 50 66 55
Character c h a p t e r , t h e l i m i t . T h e
Milliseconds 111 243 100 82 138 122 161 47 66 43 290 46 99 59 172 74 264 87 215 123 49 160 84 87 105
Character i d e a o f a m i -i -m l i m i t p l a y e
Milliseconds 281 132 216 83 212 204 76 69 130 91 171 126 339 125 368 100 263 77 90 149 197 172 434 147 144
Character -e s a f o u n d a t i o n l -l a l f o -o -f r
Milliseconds 443 56 80 158 227 684 100 71 236 333 107 326 71 65 112 238 329 114 129 92 132 75 309 103 85
Character o l e t h r o u g h o u t c a l c u l u s .
Milliseconds 111 180 0 148 194 95 214 145 74 97 414 187 83 109 104 176 64 91 775 75 217 177 85 72
WPM Timing
Seconds WPM
2.73 57.24
5.45 72.66
8.18 86.6
10.9 85.87
13.63 80.14
16.35 84.4
19.08 86.18
21.8 85.87
24.53 79.75
27.25 81.9
29.98 83.26
32.7 80.73
35.43 80.28
38.15 79.57
40.88 77.21
43.6 77.06
46.33 76.93
49.05 76.81
51.78 76.02
54.5 75.96
57.23 76.32
59.95 75.66
62.68 76.01
65.4 77.24
68.13 77.32
70.86 76.72
73.58 75.51
76.31 74.86
79.03 74.71
81.76 75
84.48 76.42
87.21 76.65
89.93 76.73
92.66 76.54
95.38 76.62
98.11 76.81
100.83 77.24
103.56 76.48
106.28 75.53
109.01 76.29
111.73 76.58
114.46 76.43
117.18 77.21
119.91 77.56
122.63 78.09
125.36 77.73
128.08 77.2
130.81 76.69
133.53 76.38
136.26 76.09