Dalinar (dalinar_)

Race #4750

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Official speed 101.69 wpm (101.96 seconds elapsed during race)
Without ending ping 101.90 wpm (215 ms delay sending score to TypeRacer’s server)
Timerless 102.28 wpm (378 ms elapsed before first character typed; 101.36 seconds elapsed during race)
Timerless minus one 102.17 wpm, ignoring the first character typed
Race Start June 5, 2024 3:29:50pm UTC
Race Finish June 5, 2024 3:31:32pm UTC
Outcome Win (1 of 4)
Opponents 2. alternativeink (78.06 wpm)
3. chradora (74.47 wpm)
Accuracy 97.7%
Points 274.56
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 quentantity is related to a change in another. How does the seppeed 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 opoured into it? We see change occurring in nearly everything we observe in the world and universe, and powefulrful modern instruments help us see more and more. In this section we introduce the ideas of averae ge and instantatneneous raattes of change, and show that they are closely related to the slope of a cuvrve at a point P on the curve. We give precise developments of thseese important concepts in the enbexextt chapptteerer, but for now we use aann informal approach so you will see how they lead naturally to the main idea of this cahhatperppter, the limit, t. The idea of a limit plays a foundational role thorroughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 378 88 136 113 101 137 113 116 142 148 110 76 83 102 138 37 137 139 86 68 100 40 77 46 113
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 107 63 137 89 145 39 181 89 49 189 87 105 96 111 106 96 136 34 145 86 46 74 73 84 65
Character c h a n g e i n o n e q u e n t -t -n -e a n t
Milliseconds 129 118 68 100 48 114 108 59 73 97 134 83 61 77 91 81 51 136 115 324 129 121 92 114 75
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 109 70 134 202 98 209 80 129 63 89 112 70 105 144 72 77 73 116 52 111 148 134 112 86 57
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 116 98 24 47 131 59 89 63 65 100 33 84 107 82 187 127 54 65 105 109 53 82 96 65 106
Character e s e p -p -e p e e d o f a f a l l i n g
Milliseconds 38 69 54 287 251 198 131 158 80 164 119 101 106 71 84 34 112 112 127 92 187 77 79 69 68
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 80 102 64 123 149 83 78 121 111 71 139 155 125 133 13 362 141 77 105 86 76 133 51 92 57
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 67 39 121 141 100 32 299 86 56 94 212 103 220 239 91 79 160 62 82 68 87 64 80 74 82
Character l e v e l o f w a t e r i n a b a r r e
Milliseconds 87 80 70 110 173 75 148 45 52 108 36 111 123 78 99 85 64 112 55 107 169 111 165 117 110
Character l c h a n g e a s a f u n c t i o n o f
Milliseconds 110 86 76 117 67 108 78 115 139 171 106 119 89 85 72 121 138 26 89 83 68 58 174 142 96
Character t h e a m o u n t o f l i q u i d o -o p
Milliseconds 64 93 68 52 100 88 88 105 82 149 57 101 133 94 46 69 58 120 72 81 122 90 117 369 184
Character o u r e d i n t o i t ? W e s e e c h a
Milliseconds 160 122 106 131 139 91 26 71 108 69 140 108 72 240 94 158 145 148 111 57 143 128 124 114 65
Character n g e o c c u r r i n g i n n e a r l y e
Milliseconds 109 75 118 70 175 104 116 111 89 115 153 82 57 127 54 78 99 119 89 81 54 97 129 90 92
Character v e r y t h i n g w e o b s e r v e i n t
Milliseconds 136 104 77 85 82 101 66 105 99 108 97 74 84 117 76 143 68 73 170 111 100 61 64 104 28
Character h e w o r l d a n d u n i v e r s e , a n
Milliseconds 117 18 112 76 72 80 95 69 70 125 68 141 58 94 154 69 78 115 108 93 116 106 98 109 115
Character d p o w e f u l -l -u -f r f u l m o d e r n i
Milliseconds 84 83 105 160 29 39 194 88 178 286 127 141 109 159 121 120 127 82 81 67 126 73 86 94 88
Character n s t r u m e n t s h e l p u s s e e m o
Milliseconds 80 15 110 128 65 151 55 114 54 115 86 101 116 59 175 100 99 83 114 214 251 130 112 58 141
Character r e a n d m o r e . I n t h i s s e c t
Milliseconds 123 66 96 81 116 59 86 63 49 83 50 108 114 152 159 113 87 92 58 42 112 72 125 185 100
Character i o n w e i n t r o d u c e t h e i d e a
Milliseconds 58 71 36 110 82 64 90 103 55 63 125 70 104 88 118 152 31 100 87 61 67 106 91 102 105
Character s o f a v e r a e - -e g e a n d i n s t
Milliseconds 126 108 110 98 72 86 211 116 116 117 222 281 198 124 87 90 121 98 119 54 88 167 87 81 82
Character a n t a t n e -e -n -t n e o u s r a a t -t -a t e s
Milliseconds 120 89 78 130 84 110 125 327 132 125 184 46 158 32 115 106 89 118 89 2 425 120 92 89 116
Character o f c h a n g e , a n d s h o w t h a t
Milliseconds 153 163 86 38 125 100 55 113 66 102 120 105 92 115 89 82 94 91 49 111 62 77 105 47 68
Character t h e y a r e c l o s e l y r e l a t e d
Milliseconds 54 97 32 108 66 104 99 81 51 155 157 45 135 43 39 91 153 62 88 89 92 77 109 116 155
Character t o t h e s l o p e o f a c u v -v r v
Milliseconds 91 67 118 79 78 93 36 121 107 57 155 100 92 107 91 112 68 63 104 160 117 224 409 191 189
Character e a t a p o i n t P o n t h e c u r
Milliseconds 103 124 199 98 100 67 144 116 159 79 75 67 78 166 115 114 81 109 70 90 26 105 111 101 54
Character v e . W e g i v e p r e c i s e d e v e l
Milliseconds 158 71 141 101 162 65 122 111 106 83 84 96 198 68 68 202 96 94 72 77 113 109 98 87 116
Character o p m e n t s o f t h s e -e -s e s e i m p o
Milliseconds 173 118 306 103 110 19 106 114 116 76 41 122 131 86 93 350 122 99 94 105 135 158 106 132 117
Character r t a n t c o n c e p t s i n t h e e -e n
Milliseconds 83 132 99 128 61 107 141 31 88 62 152 98 39 115 159 90 56 131 67 94 34 111 134 367 243
Character b e x -x -e -b e x t t -t c h a p p t -t -p t e e -e -e
Milliseconds 9 106 182 204 136 125 85 136 95 86 387 186 71 127 76 167 94 124 230 141 80 104 95 332 128
Character r -r e r , b u t f o r n o w w e u s e
Milliseconds 163 367 59 49 144 118 208 64 118 90 91 33 83 264 338 88 47 114 92 118 139 76 93 82 90
Character a a n -n -a n i n f o r m a l a p p r o a c h
Milliseconds 94 82 85 380 111 176 60 110 52 95 80 104 68 89 91 87 129 166 138 116 111 189 130 150 99
Character s o y o u w i l l s e e h o w t h e y
Milliseconds 91 94 105 100 64 73 79 56 131 127 136 57 78 112 149 103 96 56 44 88 96 76 57 125 105
Character l e a d n a t u r a l l y t o t h e m a i
Milliseconds 85 52 105 112 87 83 65 115 91 76 65 93 132 144 112 69 62 152 71 49 73 116 77 85 84
Character n i d e a o f t h i s c a h -h -a h a t p e
Milliseconds 65 76 127 81 109 83 86 87 118 21 105 84 75 50 81 142 98 27 423 119 177 51 113 94 167
Character r -r -e -p p -p -t p t e r , t h e l i m i t , t
Milliseconds 88 206 141 126 229 284 124 206 48 114 90 114 129 88 94 62 84 215 84 121 130 98 199 100 102
Character -t - -, . T h e i d e a o f a l i m i t
Milliseconds 355 141 119 210 98 94 151 85 70 87 79 102 74 117 64 134 46 59 111 94 111 131 83 115 91
Character p l a y s a f o u n d a t i o n a l r o l e
Milliseconds 67 143 55 138 58 88 190 111 145 73 59 151 49 68 84 67 46 67 84 129 138 67 82 136 40
Character t h o r -r -o r o u g h o u t c a l c u l u s .
Milliseconds 95 114 65 100 20 484 110 121 81 50 102 68 91 89 68 85 131 92 57 135 59 128 185 108 80
WPM Timing
Seconds WPM
2.04 94.16
4.08 105.93
6.12 115.74
8.16 104.46
10.2 105.93
12.23 110.83
14.27 105.93
16.31 108.13
18.35 108.54
20.39 107.1
22.43 109.67
24.47 109.85
26.51 111.36
28.55 110.13
30.59 109.46
32.63 109.61
34.67 110.77
36.7 112.14
38.74 112.74
40.78 109.75
42.82 110.97
44.86 110.74
46.9 111.56
48.94 112.3
50.98 110.4
53.02 109.1
55.06 107.45
57.1 108.24
59.14 109.38
61.17 110.05
63.21 108.39
65.25 108.69
67.29 108.96
69.33 108.7
71.37 107.61
73.41 107.73
75.45 105.45
77.49 103.6
79.53 102.91
81.57 102.54
83.6 102.63
85.64 103.26
87.68 103.87
89.72 104.19
91.76 102.13
93.8 101.83
95.84 101.17
97.88 101.64
99.92 101.6
101.96 101.69