lapis (lapis_k)

Race #351

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Official speed 101.36 wpm (102.29 seconds elapsed during race)
Without ending ping 101.79 wpm (431 ms delay sending score to TypeRacer’s server)
Timerless 102.07 wpm (278 ms elapsed before first character typed; 101.58 seconds elapsed during race)
Timerless minus one 101.95 wpm, ignoring the first character typed
Race Start December 26, 2023 7:22:14am UTC
Race Finish December 26, 2023 7:23:56am UTC
Outcome No win (2 of 4)
Opponents 1. bayonetstellung (105.18 wpm)
Accuracy 98.8%
Points 273.67
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 related to a change in another. HOwow does the speed of a falling object change as a function o f time? How does the level of water in a barrel change as a fucnnction of the amount of liquid poured into it? We see change occuring ring in nearly everything we observe in the world and univesrrse, 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 whoshoshow 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 uzese an informal appraochoach so wyoyou 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 calcuklus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 278 178 95 198 73 233 174 67 85 92 72 107 95 125 58 103 139 136 74 65 74 30 94 44 77
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 171 89 152 79 127 99 124 111 87 88 129 162 74 131 109 86 138 52 103 66 43 81 49 308 103
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 275 80 96 80 66 102 106 54 72 81 102 52 65 109 292 147 136 104 159 132 133 217 95 59 87
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 103 101 94 88 102 96 87 166 81 59 81 72 96 136 96 94 148 80 118 106 74 102 29 103 52
Character n o t h e r . H O w -w -O o w d o e s t h e
Milliseconds 117 115 67 94 73 51 124 101 139 73 146 277 132 227 72 108 95 67 109 112 108 31 76 87 81
Character s p e e d o f a f a l l i n g o b j e c t
Milliseconds 81 80 82 143 160 81 96 51 95 66 136 75 160 386 155 175 50 86 50 89 124 161 74 130 183
Character c h a n g e a s a f u n c t i o n o -
Milliseconds 73 116 67 86 88 72 103 110 79 67 92 89 133 51 78 61 57 438 88 159 50 118 87 155 429
Character f t i m e ? H o w d o e s t h e l e v e
Milliseconds 89 93 103 78 65 75 153 225 235 225 67 130 146 95 117 199 114 59 94 67 89 113 69 137 109
Character l o f w a t e r i n a b a r r e l c h
Milliseconds 110 22 224 66 110 81 139 74 129 73 73 104 57 60 70 132 102 72 73 177 71 104 58 124 73
Character a n g e a s a f u c n -n -c n c t i o n o f
Milliseconds 110 89 76 104 96 57 146 102 79 133 88 116 103 196 226 131 181 66 184 44 146 44 94 101 74
Character t h e a m o u n t o f l i q u i d p o u
Milliseconds 65 117 37 116 87 94 95 74 183 72 72 82 87 81 72 117 182 73 117 139 81 107 69 166 183
Character r e d i n t o i t ? W e s e e c h a n g
Milliseconds 80 115 183 73 102 66 92 287 119 123 71 207 189 122 248 109 96 174 175 73 110 51 125 71 65
Character e o c c u r i n g - -g -n -i r i n g i n n e
Milliseconds 110 95 297 112 167 96 109 107 73 67 103 327 139 154 139 202 191 44 88 95 135 45 60 131 66
Character a r l y e v e r y t h i n g w e o b s e r v
Milliseconds 102 82 85 110 72 104 159 138 44 183 152 88 61 100 50 96 73 73 110 144 132 79 111 212 202
Character e i n t h e w o r l d a n d u n i v e s
Milliseconds 127 101 117 52 78 20 112 95 117 80 124 86 103 66 88 82 72 79 87 81 80 138 96 174 161
Character r -r -s r s e , a n d p o w e r f u l m o d e
Milliseconds 95 247 146 95 124 103 130 118 72 87 81 110 93 169 67 58 58 197 86 184 94 110 88 56 162
Character r n i n s t r u m e n t s h e l p u s s e
Milliseconds 65 80 30 133 80 107 96 175 73 180 104 85 75 111 94 68 114 88 153 161 88 77 82 124 73
Character e m o r e a n d m o r e . I n t h i s
Milliseconds 138 102 65 74 45 51 95 87 82 83 90 81 50 51 51 125 102 144 221 103 65 100 73 51 126
Character s e c t i o n w e i n t r o d u c e t h e
Milliseconds 110 130 152 206 79 133 58 79 87 103 62 135 73 42 168 67 145 96 277 219 117 96 55 81 95
Character i d e a s o f a v e r a g e a n d i n s t
Milliseconds 74 58 161 65 122 103 118 80 73 101 138 125 73 117 117 108 124 213 132 85 190 350 72 59 80
Character a n t a n e o u s r a t e s o f c h a n g e
Milliseconds 125 205 145 321 110 115 161 213 72 93 133 109 118 95 136 103 131 81 73 158 104 87 102 81 103
Character , a n d w h o -o -h s h o -o -h -s -w s h o w t h
Milliseconds 93 30 107 134 36 132 197 65 65 249 132 160 94 59 204 139 145 189 147 100 44 96 95 74 73
Character a t t h e y a r e c l o s e l y r e l a t
Milliseconds 37 101 57 102 66 73 132 73 93 81 102 59 102 97 143 67 160 249 75 113 204 103 74 290 183
Character e d t o t h e s l o p e o f a c u r v
Milliseconds 73 166 81 80 59 88 43 66 96 107 88 81 176 169 78 103 87 65 81 89 121 51 110 81 161
Character e a t a p o i n t P o n t h e c u r
Milliseconds 117 108 96 109 29 153 126 137 235 174 57 46 86 145 95 140 79 94 80 81 89 79 110 78 126
Character v e . W e g i v e p r e c i s e d e v e l
Milliseconds 211 148 122 131 198 297 139 163 146 85 125 80 109 59 102 159 168 81 162 100 161 176 161 99 118
Character o p m e n t s o f t h e s e i m p o r t a n
Milliseconds 167 132 73 93 112 87 131 95 96 71 87 95 38 92 113 99 66 139 52 154 154 92 146 96 125
Character t c o n c e p t s i n t h e n e x t c h
Milliseconds 79 86 161 66 51 82 139 129 59 96 116 96 36 95 64 87 73 81 66 87 168 117 183 334 182
Character a p t e r , b u t f o r n o w w e u z e
Milliseconds 88 117 88 129 67 95 88 133 57 57 80 117 88 89 64 88 65 52 101 124 118 73 169 136 30
Character -e -z s e a n i n f o r m a l a p p r a o c h
Milliseconds 336 224 117 66 110 80 95 146 118 57 108 109 67 138 102 112 65 110 93 124 74 139 0 143 88
Character -h -c -o -a o a c h s o w y o -o -y -w y o u w i l
Milliseconds 235 131 142 164 220 137 146 65 132 102 81 71 109 132 105 201 132 123 97 87 195 52 87 88 168
Character l s e e h o w t h e y l e a d n a t u r
Milliseconds 117 86 66 112 181 181 95 51 118 110 88 57 94 138 74 103 60 72 122 128 56 94 73 102 102
Character a l l y t o t h e m a i n i d e a o f
Milliseconds 79 73 146 30 102 111 64 73 73 58 75 79 81 102 93 66 58 132 44 190 71 133 110 95 74
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 135 30 51 64 119 95 124 138 117 81 139 37 153 71 95 88 73 88 80 166 110 117 133 132 170
Character T h e i d e a o f a l i m i t p l a y s
Milliseconds 215 181 80 95 89 65 162 58 92 111 103 87 95 139 291 189 96 122 80 118 104 109 87 100 220
Character a f o u n d a t i o n a l r o l e t h r o
Milliseconds 139 82 135 80 132 177 59 36 108 116 81 133 57 166 139 110 176 100 149 49 117 38 86 110 116
Character u g h o u t c a l c u k -k l u s .
Milliseconds 211 133 87 123 183 81 87 180 110 59 161 109 188 447 195 198 81 109
WPM Timing
Seconds WPM
2.05 93.85
4.09 105.58
6.14 107.54
8.18 104.12
10.23 109.1
12.27 106.56
14.32 108.1
16.37 106.32
18.41 107.54
20.46 103.82
22.5 104.52
24.55 106.07
26.6 104.23
28.64 105.58
30.69 105.97
32.73 104.12
34.78 102.48
36.82 101.67
38.87 101.88
40.92 103.24
42.96 101.95
45.01 102.65
47.05 103.03
49.1 104.36
51.14 104.64
53.19 104.68
55.24 104.06
57.28 103.49
59.33 102.95
61.37 101.87
63.42 101.99
65.46 102.28
67.51 102.38
69.56 102.65
71.6 102.23
73.65 102.49
75.69 102.73
77.74 102.8
79.79 103.48
81.83 102.8
83.88 101.58
85.92 100.83
87.97 101.22
90.01 102.12
92.06 102.45
94.11 102.52
96.15 102.46
98.2 102.53
100.24 102.47
102.29 101.36