Shaun (crypton_flow)

Race #47

View Pit Stop page for race #47 by crypton_flowGhost race

View profile for Shaun (crypton_flow)

Official speed 79.95 wpm (129.68 seconds elapsed during race)
Without ending ping 79.99 wpm (70 ms delay sending score to TypeRacer’s server)
Timerless 80.34 wpm (560 ms elapsed before first character typed; 129.05 seconds elapsed during race)
Timerless minus one 80.25 wpm, ignoring the first character typed
Race Start February 26, 2025 11:26:07pm UTC
Race Finish February 26, 2025 11:28:17pm UTC
Outcome No win (5 of 5)
Opponents 2. trainguyen2402 (101.39 wpm)
3. epic_procrastinator (99.87 wpm)
Accuracy 95.2%
Points 215.87
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 calcCalcullusus is at tool that helps us understand how a change in one quantity is related to a change in another. how dHow does the pseespeed of a falling object change as a funcionction of time?> How dows eses the level of water in a bArrarrel; change as a fucntioncnction of the amount of liqwuuid pouried into it>? W We see change occuring ring in nearluy everything we observe in the world and uyniv=niverse, and powerful modern instruments help us see more and more. In this ecsection we uiintroduce the iedadeas of average and instantaneous rates of change, and show that they are closely relatoeded to the lsope slope of a curve at a [popoint P{ on the curve. We give precise devel;op[oopments opthff these important concepcts in the nmenext chapter, but for now we use an informal appreoacroach so you willl s see how they elad an;eadleadf antunaturraalally to the main indeadea of this chapter, the limi.t t. The idea of a limit plays a foundtaionational role throughout calcuylllus.
Timing
Character c a l c -c -l -a -c C a l c u l l u s -s -u -l u s i s
Milliseconds 560 144 47 133 220 111 116 128 152 168 222 158 87 151 146 43 134 259 102 118 156 93 82 84 78
Character a t - -t t o o l t h a t h e l p s u s
Milliseconds 93 79 101 17 366 113 116 133 360 118 137 97 71 66 60 73 44 39 101 106 62 90 69 73 105
Character u n d e r s t a n d h o w a c h a n g e
Milliseconds 84 94 67 67 66 110 116 107 107 33 143 23 95 50 66 84 66 132 119 75 50 107 70 70 14
Character i n o n e q u a n t i t y i s r e l a t e
Milliseconds 274 79 70 80 67 96 126 281 88 128 126 125 47 135 134 117 136 94 76 131 92 165 70 92 67
Character d t o a c h a n g e i n a n o t h e r .
Milliseconds 185 70 89 64 82 55 109 85 70 74 83 104 40 49 81 65 54 63 74 75 51 61 84 78 98
Character h o w d -d - -w -o -h H o w d o e s t h e p
Milliseconds 30 174 76 29 124 81 171 104 117 130 104 171 85 60 95 53 543 93 171 78 72 62 100 86 121
Character s e e -e -e -s -p s p e e d o f a f a l l i n g
Milliseconds 0 164 145 184 102 136 136 117 71 143 145 165 95 73 93 81 48 104 96 161 138 126 80 110 14
Character o b j e c t c h a n g e a s a f u n c i
Milliseconds 122 160 148 178 76 78 169 62 139 55 112 104 79 57 70 93 76 130 262 130 122 77 70 63 278
Character o n -n -o -i c -c t i o n o f t i m e ? > - ->
Milliseconds 105 58 264 117 104 156 269 100 83 98 41 71 91 62 96 88 85 53 69 530 15 321 315 182 84
Character H o w d o w s - -s -w e -e s -s e s t h e l e
Milliseconds 183 74 84 110 114 81 51 134 109 301 118 118 123 3 168 461 77 312 119 103 45 127 122 65 68
Character v e l o f w a t e r i n a b A r r -r -r -A
Milliseconds 91 72 77 93 71 128 112 155 106 122 85 103 104 66 89 70 52 114 127 197 177 132 200 108 123
Character a r r e l ; - -; c h a n g e a s a f u c
Milliseconds 63 72 152 79 153 17 86 358 118 159 108 73 44 131 41 61 81 63 62 134 71 85 108 105 35
Character n t i o -o -i -t -n n c -c -n -c n c t i o n o f t h
Milliseconds 38 166 33 83 190 117 127 130 180 115 170 112 126 144 93 232 458 68 68 86 65 187 85 106 64
Character e a m o u n t o f l i q w u -u -w u i d p o
Milliseconds 123 98 63 73 93 67 55 95 73 45 81 73 88 96 77 2 106 278 115 470 65 81 78 164 84
Character u r i -i e d i n t o i t > -> ? W -W - W e
Milliseconds 224 120 198 451 64 124 81 88 60 80 67 77 92 86 368 460 690 229 149 287 133 1867 278 160 115
Character s e e c h a n g e o c c u r i n g - -g -n -i r
Milliseconds 395 162 114 77 110 66 35 138 51 49 62 58 75 138 135 110 79 77 94 99 272 119 136 128 172
Character i n g i n n e a r l u -u y e v e r y t h i n
Milliseconds 64 55 101 74 56 91 79 658 60 64 55 143 100 348 192 119 115 219 86 124 104 117 62 91 103
Character g w e o b s e r v e i n t h e w o r l d
Milliseconds 66 120 185 145 100 109 74 95 172 70 208 49 116 59 99 83 21 115 57 110 58 174 108 73 116
Character a n d u y n i v = -= -v -i -n -y n i v e r s e ,
Milliseconds 100 58 120 103 171 278 14 67 133 66 233 92 158 109 122 119 201 142 163 72 65 172 186 126 93
Character a n d p o w e r f u l m o d e r n i n s t r
Milliseconds 111 96 85 110 87 73 91 52 69 178 40 66 116 113 51 70 87 89 112 84 77 73 41 74 126
Character u m e n t s h e l p u s s e e m o r e a
Milliseconds 63 90 169 501 96 67 102 128 49 165 99 80 106 110 58 123 206 135 83 50 86 3 74 52 101
Character n d m o r e . I n t h i s e c -c -e s e c t
Milliseconds 70 115 49 84 55 33 58 117 67 153 85 79 243 44 49 85 60 94 103 359 100 67 137 67 206
Character i o n w e u i -i -u i n t r o d u c e t h e
Milliseconds 29 81 56 18 72 152 82 211 17 262 217 220 84 88 141 41 279 256 65 67 88 74 83 86 58
Character i e d a -a -d -e d e a s o f a v e r a g e a n
Milliseconds 73 83 42 93 265 103 126 76 58 87 84 112 101 106 93 44 100 84 150 98 102 84 69 83 100
Character d i n s t a n t a n e o u s r a t e s o f
Milliseconds 87 88 61 98 50 101 122 126 345 95 246 104 157 68 96 89 50 95 106 61 151 84 43 90 84
Character c h a n g e , a n d s h o w t h a t t h e
Milliseconds 103 45 102 86 106 73 37 92 67 87 105 66 120 84 55 64 51 99 66 34 103 31 123 33 143
Character y a r e c l o s e l y r e l a t o e d -d -e -o
Milliseconds 23 112 23 141 68 93 111 24 151 71 134 36 103 118 202 48 398 96 55 145 131 180 156 108 114
Character e d t o t h e l s o p e - -e -p -o -s -l s l o
Milliseconds 113 138 84 108 20 70 317 61 89 53 107 17 100 75 78 73 193 92 126 132 123 131 128 47 97
Character p e o f a c u r v e a t a [ p o -o -p -[
Milliseconds 54 63 80 110 93 87 36 150 98 86 157 186 47 158 53 87 114 80 98 74 15 56 272 111 126
Character p o i n t P { - -{ o n t h e c u r v e .
Milliseconds 574 59 172 64 55 102 444 2 174 233 110 190 99 85 64 75 68 59 116 16 139 34 185 43 79
Character W e g i v e p r e c i s e d e v e l ; o p
Milliseconds 54 153 162 99 142 83 120 64 71 27 104 77 125 97 66 143 79 96 79 123 70 31 0 73 0
Character [ -[ -p -o o -o -; o p m e n t s o p t h -h -t f -f -p f
Milliseconds 42 254 116 115 199 201 742 163 61 193 103 78 67 87 48 71 28 83 111 261 113 112 143 131 160
Character t h e s e i m p o r t a n t c o n c e p c -c
Milliseconds 101 83 70 14 142 136 122 103 52 134 47 72 134 69 76 66 122 97 60 63 70 91 83 444 254
Character t s i n t h e n m -m -n e -e n e x t c h a p
Milliseconds 79 65 100 91 68 82 33 112 35 157 119 26 344 114 60 330 150 82 178 232 138 83 58 66 126
Character t e r , b u t f o r n o w w e u s e a
Milliseconds 90 78 92 83 53 147 86 60 49 135 44 105 45 66 66 57 73 225 152 55 72 62 122 65 124
Character n i n f o r m a l a p p r e -e -r o a c -c -a -o r
Milliseconds 100 88 102 76 57 97 84 79 118 49 110 43 90 117 78 63 271 122 119 100 68 223 94 122 107
Character o a c h s o y o u w i l l l s -s - -l s e
Milliseconds 93 95 69 76 68 103 75 88 82 61 100 52 75 73 39 140 111 210 34 238 107 132 86 45 163
Character e h o w t h e y e l a d a n -n -a - -d -a -l -e
Milliseconds 135 90 72 50 71 52 105 64 116 62 55 104 27 49 107 57 96 0 206 110 113 116 121 122 133
Character ; e a d -d -a -e -; l e a d f - -f a n t u -u -t -n -a
Milliseconds 153 95 40 90 123 117 129 133 144 94 66 80 0 37 236 116 161 113 29 168 117 191 109 123 139
Character n a t u r r a -a a l -l -a -r a l l y t o t h e
Milliseconds 232 141 99 35 684 130 99 217 98 100 264 115 292 130 119 132 93 80 137 60 69 156 54 85 59
Character m a i n i n d e a -a -e -d -n d e a o f t h i s
Milliseconds 77 56 72 75 72 82 55 38 80 59 268 101 121 136 97 81 55 109 106 104 100 166 60 71 56
Character c h a p t e r , t h e l i m i . t - -t -. t
Milliseconds 53 108 96 15 131 91 72 105 81 58 93 74 84 64 155 86 93 88 268 126 130 193 116 126 141
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 101 118 258 56 105 68 38 95 100 70 113 66 78 124 53 92 15 90 99 101 432 118 85 77 109
Character y s a f o u n d t a i o n -n -o -i -a -t a t i o n
Milliseconds 108 76 96 77 146 78 66 51 42 32 167 85 57 56 72 267 108 130 129 129 119 73 104 80 79
Character a l r o l e t h r o u g h o u t c a l c u y
Milliseconds 110 90 110 134 64 76 134 65 70 117 70 586 46 102 859 77 68 89 108 91 112 72 130 32 30
Character l l -l -l -y l u s .
Milliseconds 103 285 404 552 127 182 71 151 117
WPM Timing
Seconds WPM
2.59 27.76
5.19 37.01
7.78 75.57
10.37 84.44
12.97 95.31
15.56 88.68
18.16 86.59
20.75 90.22
23.34 86.37
25.94 84.67
28.53 80.76
31.12 81.35
33.72 81.86
36.31 77.66
38.9 79.58
41.5 79.81
44.09 75.39
46.69 72.49
49.28 73.05
51.87 72.87
54.47 74.91
57.06 74.03
59.65 75.84
62.25 77.31
64.84 79.21
67.43 78.65
70.03 79
72.62 79.98
75.22 82.48
77.81 83.44
80.4 82.24
83 82.85
85.59 81.32
88.18 82.74
90.78 81.56
93.37 81.48
95.96 82.16
98.56 81.7
101.15 83.16
103.74 82.82
106.34 83.28
108.93 81.74
111.53 80.38
114.12 79.81
116.71 80.2
119.31 80.16
121.9 80.92
124.49 80.87
127.09 80.64
129.68 79.95