Dalinar (dalinar_)

Race #3065

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Official speed 82.55 wpm (125.60 seconds elapsed during race)
Without ending ping 82.60 wpm (80 ms delay sending score to TypeRacer’s server)
Timerless 82.83 wpm (352 ms elapsed before first character typed; 125.17 seconds elapsed during race)
Timerless minus one 82.74 wpm, ignoring the first character typed
Race Start October 1, 2023 1:33:21am UTC
Race Finish October 1, 2023 1:35:26am UTC
Outcome Win (1 of 5)
Opponents 3. b5mith (69.45 wpm)
Accuracy 96.3%
Points 222.89
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 usndnderssttand how a change in one quantituy y is related to a change in another. How does the speed a of a failling object change as a function of time? HOow does the elelevel of water in a barrel cahnhange as a function of the maamnounount of liquid poiureurded into it? We seee change eococcurring in n earearly everything we obsrveerve in the world and universe, and powerful modern instruments help us see more and moree. . In this section we introduce the ideeasas of zaverage and instantaneous ratess of change, and show that they are closely related to the slope of a curve at a apoipoint P on the curve. We give precise developpmemetns nts of thes e impoortartant conececepts in the next chapter, but for now we use an informal appreaoach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea ofa a aolimit plays s a foundational role thoutroughout clacualculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 352 114 118 77 130 161 122 76 105 75 102 105 55 112 115 63 145 142 62 130 108 146 87 127 222
Character e l p s u s u s n d -d -n -s n d e r s s t -t -s t
Milliseconds 111 86 151 85 73 68 145 97 94 38 114 132 209 152 128 187 19 170 118 113 107 57 373 130 105
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 91 109 88 124 46 78 94 86 99 105 134 98 76 95 73 97 113 159 87 88 161 129 134 64 151
Character u a n t i t u y - -y -u y i s r e l a t e d
Milliseconds 108 112 102 188 132 54 172 9 132 344 152 145 256 69 147 71 82 83 80 60 113 182 173 150 68
Character t o a c h a n g e i n a n o t h e r . H
Milliseconds 100 53 111 69 118 216 102 99 132 69 107 104 45 114 101 88 107 75 69 102 70 77 97 94 137
Character o w d o e s t h e s p e e d a - -a o f
Milliseconds 56 114 69 124 101 63 79 90 71 67 89 59 80 97 95 140 155 134 97 121 246 149 185 67 67
Character a f a i -i l l i n g o b j e c t c h a n g e
Milliseconds 54 92 105 134 21 374 197 151 108 106 77 77 102 162 128 117 182 121 14 251 183 193 172 127 123
Character a s a f u n c t i o n o f t i m e ? H
Milliseconds 104 64 142 101 96 92 166 66 152 50 95 47 69 83 91 109 84 49 112 62 84 83 203 138 270
Character O -O o w d o e s t h e e l e -e -l -e l e v e l
Milliseconds 97 483 200 86 76 276 77 88 75 89 86 72 82 83 106 22 67 330 140 131 178 76 49 101 128
Character o f w a t e r i n a b a r r e l c a h
Milliseconds 100 111 85 68 111 73 118 113 111 122 211 122 132 23 164 202 113 162 166 94 92 99 101 83 20
Character n -n -h -a h a n g e a s a f u n c t i o n o
Milliseconds 226 291 141 135 211 64 126 70 116 108 75 134 126 86 108 122 102 139 63 105 58 68 94 104 153
Character f t h e m a -a -m a m n o u n -n -u -o -n o u n t
Milliseconds 83 75 202 73 86 99 188 181 188 151 159 114 8 78 123 161 254 150 140 136 183 94 167 75 72
Character o f l i q u i d p o i u r e -e -r -u -i u r d -d e
Milliseconds 99 74 73 104 90 139 102 91 78 112 172 147 95 34 108 102 269 149 142 128 205 45 317 363 96
Character d i n t o i t ? W e s e e e - -e c h a
Milliseconds 149 102 55 102 67 147 124 112 76 202 117 186 229 197 131 112 73 116 215 203 135 71 96 140 117
Character n g e e o c -c -o -e o c c u r r i n g i n n
Milliseconds 128 72 110 84 4 235 105 291 144 138 193 76 129 114 98 187 423 89 68 84 104 74 100 183 132
Character e a r -r -a -e - e a r l y e v e r y t h i n g w
Milliseconds 156 109 78 268 143 168 130 98 132 9 157 175 121 100 145 94 106 68 120 69 29 129 95 83 139
Character e o b s r v e -e -v -r e r v e i n t h e w o
Milliseconds 78 85 108 152 185 228 219 104 246 144 144 103 81 200 118 118 88 107 33 125 94 47 111 83 93
Character r l d a n d u n i v e r s e , a n d p o w
Milliseconds 99 82 88 120 99 102 93 269 403 147 95 102 132 160 69 102 212 145 116 157 76 101 231 173 80
Character e r f u l m o d e r n i n s t r u m e n t s
Milliseconds 20 102 190 125 182 125 141 103 128 154 83 96 110 105 101 74 103 131 90 168 92 95 71 97 39
Character h e l p u s s e e m o r e a n d m o r e
Milliseconds 186 148 95 174 91 110 111 108 82 64 153 194 83 102 62 51 139 69 169 88 106 67 64 68 74
Character e . - -. -e . I n t h i s s e c t i o n w
Milliseconds 123 224 61 292 138 132 180 70 203 139 194 236 99 83 85 116 109 118 197 119 61 42 100 76 129
Character e i n t r o d u c e t h e i d e e a s -s -a -e
Milliseconds 82 115 169 72 107 144 42 107 102 117 154 84 85 73 115 117 169 48 120 87 121 129 243 146 144
Character a s o f z -z a v e r a g e a n d i n s t a
Milliseconds 89 32 129 121 79 76 230 450 160 355 170 100 197 186 117 188 49 204 90 134 204 103 56 106 95
Character n t a n e o u s r a t e s s -s o f c h a n g
Milliseconds 112 37 133 213 86 300 82 149 127 135 104 117 97 139 106 378 131 123 83 89 136 84 54 126 42
Character e , a n d s h o w t h a t t h e y a r e
Milliseconds 90 114 84 110 86 66 97 82 58 47 116 74 124 116 59 82 269 138 94 92 91 101 58 134 68
Character c l o s e l y r e l a t e d t o t h e s
Milliseconds 107 124 58 126 42 49 88 130 89 108 106 42 225 145 149 178 61 105 61 127 77 113 108 114 114
Character l o p e o f a c u r v e a t a a p o i
Milliseconds 87 151 123 80 90 104 79 112 70 114 129 133 68 146 103 198 82 211 7 520 250 102 118 68 121
Character -i -o -p -a p o i n t P o n t h e c u r v e .
Milliseconds 263 157 151 124 220 37 124 249 125 303 264 214 188 114 111 86 60 77 100 115 85 110 141 73 117
Character W e g i v e p r e c i s e d e v e l o p p
Milliseconds 86 199 67 94 149 118 96 94 108 170 103 83 196 94 101 64 96 156 208 174 53 111 157 25 87
Character m e -e -m -p m e t n s - -s -n -t n t s o f t h e
Milliseconds 225 103 256 149 129 182 74 110 9 142 118 243 142 150 126 216 34 120 205 126 90 78 97 103 129
Character s - e i m p o o r t a -a -t -r -o r t a n t c o
Milliseconds 65 167 539 100 84 114 104 197 45 77 66 136 81 266 152 150 138 81 145 99 144 92 161 442 66
Character n e c e -e -c -e c e p t s i n t h e n e x t
Milliseconds 88 88 178 187 281 159 130 88 148 62 87 114 147 62 150 231 93 93 73 87 75 69 137 153 53
Character c h a p t e r , b u t f o r n o w w e u
Milliseconds 147 102 60 133 99 118 113 118 101 217 69 130 14 301 115 88 90 147 124 37 157 96 89 64 127
Character s e a n i n f o r m a l a p p r e a -a -e o a
Milliseconds 94 65 92 86 123 85 346 89 112 112 50 90 82 104 92 88 55 146 139 100 119 400 133 318 112
Character c h s o y o u w i l l s e e h o w t h
Milliseconds 183 81 139 79 100 110 120 72 81 98 98 77 134 130 69 95 92 158 150 136 73 88 94 246 76
Character e y l e a d n a t u r a l l y t o t h e
Milliseconds 66 127 116 86 51 110 119 82 81 85 88 97 75 74 101 121 161 111 114 111 123 109 84 84 110
Character m a i n i d e a o f t h i s c h a p t e r
Milliseconds 65 108 149 81 82 175 7 165 77 134 120 258 188 110 69 56 78 109 119 80 51 149 76 118 102
Character , t h e l i m i t . T h e i d e a o f a
Milliseconds 80 126 137 96 71 79 80 83 165 123 109 95 111 141 131 106 86 108 55 123 101 136 81 192 130
Character - -a a a o -o -a l i m i t p l a y s s -
Milliseconds 29 459 144 112 91 135 95 97 398 136 200 94 149 103 94 100 66 191 138 168 123 129 92 87 406
Character -s a f o u n d a t i o n a l r o l e t h o u
Milliseconds 139 99 107 176 56 76 135 59 57 96 88 68 85 93 115 133 57 121 378 97 76 112 58 88 121
Character t -t -u -o r o u g h o u t c l a c u -u -c -a -l a l c
Milliseconds 50 376 145 142 96 83 54 98 108 107 91 113 97 143 76 28 157 89 278 153 151 288 168 162 128
Character u l u s .
Milliseconds 179 170 165 103 76
WPM Timing
Seconds WPM
2.51 100.32
5.02 85.99
7.54 87.58
10.05 84.8
12.56 85.99
15.07 93.16
17.58 91.45
20.1 90.17
22.61 93.42
25.12 90.77
27.63 90.77
30.14 87.98
32.66 90.03
35.17 85.65
37.68 84.08
40.19 83.3
42.7 82.06
45.21 81.21
47.73 80.46
50.24 79.3
52.75 80.3
55.26 81
57.77 82.04
60.29 83.2
62.8 82.17
65.31 83.6
67.82 81.92
70.33 82.24
72.85 82.04
75.36 83.44
77.87 84.45
80.38 85.24
82.89 83.53
85.41 83.74
87.92 84.35
90.43 82.54
92.94 82.25
95.45 81.21
97.97 81.09
100.48 81.69
102.99 82.38
105.5 82.12
108.01 82.88
110.53 83.6
113.04 84.18
115.55 84.02
118.06 83.65
120.57 83.7
123.08 83.36
125.6 82.55