seigou (ninjawanko)

Race #2609

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Official speed 83.74 wpm (123.81 seconds elapsed during race)
Without ending ping 85.86 wpm (3,059 ms delay sending score to TypeRacer’s server)
Timerless 85.98 wpm (160 ms elapsed before first character typed; 120.59 seconds elapsed during race)
Timerless minus one 85.88 wpm, ignoring the first character typed
Race Start July 21, 2024 1:50:01am UTC
Race Finish July 21, 2024 1:52:05am UTC
Outcome Win (1 of 3)
Opponents 2. jahshi (82.01 wpm)
Accuracy 96.5%
Points 226.09
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 undertastnadand how a change in one aquantity is related to a change in another. How does the speedo of a lfafalling object change as a funcition of time? How wodoes the level of water in a braarelrel wcchange as a function of the amoutnnt of liquid poouured into it\\? We see change cooccuringring in nearly everything we observe in the world and universe, and powerful modern instruments hep \lp us see more and more. In this section we introduce the ideas of average and instantanesouous rates of change, andd h show that they are closely related to the slope of a curve at a pontint P on the curve. We give precise developments of these importatnnt concepts in the ennedxt -cchapter, but for now we uset n an impfnformal approach yoso you will see how they lead naturally to the main idea of hthis chapter, the limit . The idea of a limit plays a fokundandaundational 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 160 153 110 300 161 96 198 125 139 190 27 116 169 125 168 121 122 159 121 93 23 86 52 91 181
Character e l p s u s u n d e r t a -a -t s t n a d -d -a -n
Milliseconds 72 78 168 100 132 75 90 108 207 131 67 148 38 219 67 268 127 77 103 92 19 139 230 137 101
Character a n d h o w a c h a n g e i n o n e a
Milliseconds 81 125 49 103 62 55 98 129 143 115 148 57 77 64 96 78 103 89 83 52 236 76 50 125 117
Character -a q u a n t i t y i s r e l a t e d t o a
Milliseconds 299 103 120 127 140 115 112 361 170 135 140 66 90 191 70 126 131 109 103 135 89 181 38 90 157
Character c h a n g e i n a n o t h e r . H o w d
Milliseconds 90 135 88 40 115 112 61 102 145 110 16 148 123 79 52 84 42 91 94 54 210 70 85 129 163
Character o e s t h e s p e e d o - -o o f a l f
Milliseconds 85 62 76 119 113 23 90 36 186 162 172 144 237 201 199 191 123 71 133 35 98 87 105 114 14
Character a -a -f -l f a l l i n g o b j e c t c h a n g e
Milliseconds 105 213 130 117 104 68 115 154 102 102 39 117 172 108 144 68 116 208 93 175 90 44 111 98 65
Character a s a f u n c i -i t i o n o f t i m e ?
Milliseconds 89 124 106 54 209 52 137 131 147 99 206 383 51 166 33 107 108 163 69 91 108 81 101 4 345
Character H o w w o -o -w d o e s t h e l e v e l o
Milliseconds 162 180 301 126 93 108 128 239 129 31 179 48 65 101 123 50 52 67 142 83 184 95 82 136 111
Character f w a t e r i n a b r a -a -r a r e l -l -e r
Milliseconds 85 81 251 94 104 112 80 75 95 101 85 23 169 112 213 127 265 129 44 132 91 109 309 113 99
Character e l w c -c -w c h a n g e a s a f u n c t i
Milliseconds 43 145 174 97 202 197 137 110 109 26 134 113 49 128 193 128 69 151 85 105 137 245 125 182 45
Character o n o f t h e a m o u t n -n -t n t o f l
Milliseconds 101 54 121 140 44 106 136 68 68 70 146 131 84 123 176 22 354 125 205 73 152 16 395 213 261
Character i q u i d p o o u -u -o u r e d i n t o i t \
Milliseconds 56 86 109 101 155 140 162 21 232 90 268 128 227 56 61 153 113 85 73 74 67 86 201 74 258
Character -\ \ -\ ? W e s e e c h a n g e c o -o -c o c
Milliseconds 0 0 0 0 272 557 246 155 115 147 206 123 391 203 120 36 160 77 65 251 102 280 120 212 78
Character c u r i n g -g -n -i r i n g i n n e a r l y e
Milliseconds 141 147 121 103 70 102 216 128 108 135 114 81 39 146 194 98 42 227 95 80 64 157 148 77 153
Character v e r y t h i n g w e o b s e r v e i n t
Milliseconds 164 88 122 214 136 112 28 106 87 147 123 52 129 218 100 161 95 84 196 114 68 139 87 22 136
Character h e w o r l d a n d u n i v e r s e , a n
Milliseconds 48 53 41 75 43 79 84 47 127 161 81 56 85 101 138 69 55 142 165 3 108 418 197 290 98
Character d p o w e r f u l m o d e r n i n s t r u m
Milliseconds 165 108 33 138 53 52 77 151 38 109 119 107 66 56 169 77 75 104 151 101 156 170 174 95 167
Character e n t s h e p - \ -\ -p l p u s s e e m o
Milliseconds 75 87 73 121 133 194 100 278 229 228 344 0 0 216 202 161 152 93 101 160 176 150 129 72 49
Character r e a n d m o r e . I n t h i s s e c t
Milliseconds 70 73 94 140 73 80 74 93 70 74 70 60 106 267 159 102 105 42 64 99 118 102 80 148 187
Character i o n w e i n t r o d u c e t h e i d e a
Milliseconds 98 37 79 138 112 83 101 153 79 73 164 90 73 170 49 76 98 128 63 44 59 131 92 185 52
Character s o f a v e r a g e a n d i n s t a n t a
Milliseconds 338 161 209 67 97 198 181 181 108 110 95 105 25 166 66 147 95 268 67 72 111 93 6 175 817
Character n e s o u -u -o -s o u s r a t e s o f c h a n
Milliseconds 147 88 106 147 74 271 134 122 263 58 54 135 130 126 121 93 104 149 89 84 94 179 99 29 120
Character g e , a n d d h -h - -d s h o w t h a t t
Milliseconds 28 75 60 153 129 153 0 108 39 166 230 129 112 113 35 90 81 70 122 180 51 91 35 97 112
Character h e y a r e c l o s e l y r e l a t e d t
Milliseconds 42 37 97 52 128 131 84 83 139 45 142 60 65 92 30 177 153 61 93 108 91 103 151 75 121
Character o t h e s l o p e o f a c u r v e a t
Milliseconds 53 91 152 62 40 89 167 80 166 136 148 129 117 48 94 132 63 126 126 59 165 109 84 174 129
Character a p o n t -t -n i n t P o n t h e c u r
Milliseconds 81 100 141 58 139 104 153 221 118 270 110 27 162 266 236 138 76 84 122 31 86 110 184 124 81
Character v e . W e g i v e p r e c i s e d e v e l
Milliseconds 172 108 37 94 208 436 192 178 82 97 98 91 161 44 104 178 92 97 59 148 112 171 132 124 37
Character o p m e n t s o f t h e s e i m p o r t a t
Milliseconds 167 129 155 99 93 64 114 123 183 38 125 91 48 52 141 103 42 227 71 187 131 72 157 64 100
Character n -n -t n t c o n c e p t s i n t h e e n -n
Milliseconds 22 343 126 304 109 91 197 83 79 48 77 139 130 152 117 148 97 12 87 87 4 79 94 192 213
Character -e n e d -d x t - c -c -- c h a p t e r , b u t
Milliseconds 118 207 26 163 379 170 63 161 145 239 203 128 166 86 114 64 131 111 125 57 131 131 42 141 105
Character f o r n o w w e u s e t n -n - -t a n i
Milliseconds 123 42 91 108 62 62 85 123 95 65 111 126 65 111 131 12 237 305 111 121 176 117 91 134 140
Character m p f -f -p -m n f o r m a l a p p r o a c h y o
Milliseconds 102 104 112 206 142 399 201 107 106 56 133 98 121 171 323 122 127 87 130 158 190 12 289 131 82
Character -o -y s o y o u w i l l s e e h o w t h e
Milliseconds 265 127 122 161 145 107 91 81 65 65 76 141 137 63 111 104 194 137 139 78 52 169 156 58 39
Character y l e a d n a t u r a l l y t o t h e m
Milliseconds 77 65 167 90 101 116 101 275 47 97 152 31 125 132 134 43 109 97 23 119 91 19 87 99 85
Character a i n i d e a o f h -h t h i s c h a p t e
Milliseconds 114 83 97 64 184 64 170 113 38 148 72 97 105 306 127 143 60 32 161 252 21 61 141 121 69
Character r , t h e l i m i t - . T h e i d e a
Milliseconds 115 61 122 100 32 113 109 110 89 79 435 137 208 301 207 43 229 93 84 78 157 99 179 71 81
Character o f a l i m i t p l a y s a f o k u n d
Milliseconds 116 60 117 116 77 112 100 74 119 119 137 165 109 57 122 166 217 204 213 84 110 14 49 112 49
Character a -a -d -n -u -k n d a -a -d -n u n d a t i o n a l r o
Milliseconds 38 182 130 113 98 120 216 66 103 184 133 124 293 139 55 71 103 29 33 111 209 111 146 169 79
Character l e t h r o u g h t o u -u -o -t o u t c a l c u
Milliseconds 134 83 77 75 49 125 101 58 36 122 368 105 62 277 133 120 246 69 73 120 119 79 11 386 110
Character l u s .
Milliseconds 108 187 111 94
WPM Timing
Seconds WPM
2.48 77.54
4.95 92.08
7.43 82.38
9.9 84.81
12.38 87.23
14.86 93.69
17.33 91.38
19.81 89.05
22.29 89.38
24.76 87.71
27.24 89.43
29.71 86.83
32.19 86.11
34.67 86.19
37.14 85.29
39.62 84.2
42.1 83.24
44.57 81.04
47.05 81.87
49.52 83.84
52 84.23
54.48 85.47
56.95 83.86
59.43 85.01
61.91 86.26
64.38 86.67
66.86 86.33
69.33 85.67
71.81 85.89
74.29 87.39
76.76 88.17
79.24 87.68
81.72 87.52
84.19 87.94
86.67 88.61
89.14 88.31
91.62 86.97
94.1 87.61
96.57 86.48
99.05 86.02
101.53 85.81
104 86.31
106.48 87.12
108.95 87.45
111.43 87.12
113.91 87.23
116.38 86.09
118.86 85.92
121.34 85.45
123.81 83.74