IAmAtomicツ (from_phlol)

Race #1064

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Official speed 107.81 wpm (96.17 seconds elapsed during race)
Without ending ping 108.11 wpm (269 ms delay sending score to TypeRacer’s server)
Timerless 108.81 wpm (611 ms elapsed before first character typed; 95.29 seconds elapsed during race)
Timerless minus one 108.68 wpm, ignoring the first character typed
Race Start March 11, 2024 8:25:30am UTC
Race Finish March 11, 2024 8:27:06am UTC
Outcome Win (1 of 4)
Opponents 3. rully_monas (94.14 wpm)
Accuracy 96.8%
Points 291.08
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 Calcuulus is a tool that help us 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? hHow does the leevevelvel of water in a battrrel cyhange change as a function of the amount of liquiedd poured into it? We see change occuring inring in nearly everything we observe in hthe world and universe, and powerful modern intrsstruments hel;pslp us see more and more. In this section we introducre the ideas of average and instantaneous rates of change, and show that they are closely reallated oto the slope of a cruve curve at a point P on the curve. AWeWWe give precies dse developments of these important conceptsi n t in the next chapter, but for now we use an incfformal approach s oyo oyou will see how they lead naturally to the main idea of this hchapeeter, the limit. The idea of a limit plays a foountdatdatyionional rle thole throughout calculus.
Timing
Character C a l c u u -u l u s i s a t o o l t h a t
Milliseconds 611 121 108 99 96 297 203 172 152 100 67 33 78 81 80 65 48 65 110 488 104 72 104 56 96
Character h e l p u -u - s u s u n d e r s t a n d
Milliseconds 44 115 42 48 143 168 106 205 162 111 72 50 47 87 122 80 47 111 120 73 128 71 72 42 63
Character h o w a c h a n g e i n o n e q u a n t
Milliseconds 118 92 61 73 574 82 84 139 33 98 38 48 32 64 35 77 56 40 54 42 191 88 68 85 111
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 104 88 137 54 86 92 64 89 0 128 80 117 65 122 54 125 42 45 110 124 126 120 53 87 39
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 51 22 77 15 67 222 0 114 36 371 107 96 99 109 159 104 49 73 95 33 112 55 43 92 112
Character e s p e e d o f a f a l l i n g o b j e
Milliseconds 70 25 66 87 42 127 113 47 64 88 49 64 78 97 49 39 103 152 27 53 50 71 48 127 48
Character c t c h a n g e a s a f u n c t i o n o
Milliseconds 44 108 36 126 102 83 28 51 63 33 79 36 68 79 79 114 81 24 56 47 79 129 56 55 80
Character f t i m e ? h -h H o w d o e s t h e l e
Milliseconds 32 72 80 54 40 81 154 98 222 359 128 97 47 73 96 33 111 24 32 80 128 15 55 31 80
Character e v e -e -v v e l -l -e -v -e v e l o f w a t e r
Milliseconds 178 80 57 176 118 172 30 86 231 114 136 127 353 50 64 95 79 49 63 80 43 55 87 91 41
Character i n a b a t t -t -t r r e l c y h a n g e -
Milliseconds 21 48 80 127 89 56 74 76 112 184 113 120 120 49 84 59 136 89 0 81 53 35 47 55 196
Character -c -y -h -a -n -g -e c h a n g e a s a f u n c t i
Milliseconds 130 0 0 0 0 0 0 225 105 64 63 33 64 45 84 38 73 88 76 131 76 30 79 29 65
Character o n o f t h e a m o u n t o f l i q u i
Milliseconds 119 60 63 89 36 59 95 136 49 28 75 56 74 158 57 127 83 94 78 63 52 103 89 110 112
Character e d -d -e d p o u r e d i n t o i t ? W e
Milliseconds 41 191 183 113 73 56 62 146 168 40 54 113 90 38 40 105 104 87 90 63 169 119 82 173 82
Character s e e c h a n g e o c c u r i n g i n -i -n -
Milliseconds 69 74 407 136 97 161 34 45 63 45 44 97 80 127 56 95 97 51 38 55 90 39 222 0 304
Character -g -n -i r i n g i n n e a r l y e v e r y t h
Milliseconds 130 126 129 93 91 28 46 62 71 0 75 114 87 26 43 112 79 46 44 111 62 51 166 136 112
Character i n g w e o b s e r v e i n h -h t h e w
Milliseconds 82 35 44 65 80 31 81 79 104 74 62 49 110 72 97 76 37 68 147 191 34 111 48 33 63
Character o r l d a n d u n i v e r s e , a n d p o
Milliseconds 32 399 112 80 81 74 69 90 47 120 30 132 74 33 116 56 95 97 47 80 56 73 70 46 131
Character w e r f u l m o d e r n i n t r s -s -r -t s t r
Milliseconds 58 47 40 151 93 156 103 66 71 39 127 83 134 103 98 39 32 168 105 134 125 115 199 42 176
Character u m e n t s h e l ; p -p -; s -s -l l p u s s e
Milliseconds 73 151 79 73 49 49 32 111 55 55 0 111 273 152 119 243 152 502 106 143 92 44 72 90 86
Character e m o r e a n d m o r e . I n t h i s
Milliseconds 116 60 96 26 31 24 56 95 0 84 52 44 37 41 23 120 94 161 120 57 56 135 33 111 74
Character s e c t i o n w e i n t r o d u c r -r e t h
Milliseconds 93 0 115 112 68 130 40 41 86 39 65 105 31 50 134 81 160 124 69 55 423 113 49 128 71
Character e i d e a s o f a v e r a g e a n d i n
Milliseconds 61 35 82 78 40 49 95 56 96 51 76 55 137 33 121 63 114 34 68 119 49 126 58 49 32
Character s t a n t a n e o u s r a t e s o f c h a n
Milliseconds 40 86 57 76 91 272 169 136 128 144 58 81 110 48 126 42 48 76 69 62 50 157 120 51 103
Character g e , a n d s h o w t h a t t h e y a r
Milliseconds 34 47 133 75 62 61 54 53 111 136 65 36 75 41 119 49 89 69 91 132 67 99 53 28 101
Character e c l o s e l y r e a l -l -a l a t e d o -o t
Milliseconds 45 42 231 34 115 30 36 105 90 63 112 51 37 48 416 110 145 18 63 79 138 102 173 194 82
Character o t h e s l o p e o f a c r u v e - -c
Milliseconds 104 34 54 214 82 81 38 57 127 120 312 80 82 51 83 57 73 174 41 47 112 50 94 184 136
Character -r -u -v -e c u r v e a t a p o i n t P o n
Milliseconds 0 0 0 0 273 347 60 114 64 84 75 40 89 78 96 96 145 152 17 48 91 157 103 103 27
Character t h e c u r v e . A W e -e -W W -W -A W e g i
Milliseconds 62 79 113 41 24 135 99 21 92 86 62 116 99 77 137 272 114 337 167 119 135 202 57 160 101
Character v e p r e c i e s d -d - -s -e s e d e v e l o
Milliseconds 38 78 79 119 56 97 105 128 262 32 105 175 193 119 111 120 92 29 68 92 57 111 51 55 115
Character p m e n t s o f t h e s e i m p o r t a n t
Milliseconds 131 136 64 80 41 61 36 51 140 81 103 117 44 46 73 79 73 29 131 133 0 186 29 68 56
Character c o n c e p t s i n t -t - -n - -i i n t h
Milliseconds 54 146 59 23 102 38 137 96 64 94 0 38 133 62 257 120 120 128 129 175 114 70 41 95 112
Character e n e x t c h a p t e r , b u t f o r n
Milliseconds 39 68 59 40 60 87 73 119 130 47 88 56 112 56 79 87 129 87 44 108 42 135 57 35 68
Character o w w e u s e a n i n c -c f f -f o r m a l
Milliseconds 62 40 41 113 53 61 120 40 72 46 107 27 163 150 26 158 336 73 153 447 168 66 62 73 96
Character a p p r o a c h s o y -y -o - o o -o y o u
Milliseconds 80 88 48 110 184 98 39 80 103 73 70 121 46 235 215 128 111 96 64 169 328 97 92 52 47
Character w i l l s e e h o w t h e y l e a d n a
Milliseconds 33 66 151 101 411 32 78 125 61 33 100 0 108 44 99 47 79 35 71 47 34 77 42 67 30
Character t u r a l l y t o t h e m a i n i d e a
Milliseconds 79 94 42 48 117 99 20 70 86 40 70 49 160 42 35 0 130 96 40 90 121 54 61 31 68
Character o f t h i s h -h c h a p e -e e -e t e r , t h
Milliseconds 55 104 66 94 137 33 86 82 216 175 103 99 70 41 159 160 208 232 63 57 72 54 153 97 119
Character e l i m i t . T h e i d e a o f a l i
Milliseconds 46 43 26 110 65 87 105 118 83 126 119 54 27 98 63 53 75 40 39 128 65 64 97 61 141
Character m i t p l a y s a f o -o o u n t d a t -t -a -d
Milliseconds 81 73 35 59 78 30 56 37 88 85 80 98 67 75 243 420 180 29 129 311 61 101 203 119 125
Character -t d a t y i o n -n -o -i -y i o n a l r l e t h -h
Milliseconds 437 137 35 78 0 35 380 87 225 108 115 133 140 71 136 84 38 80 55 232 25 55 115 155 179
Character -t - -e -l o l e t h r o u g h o u t c a l c u l
Milliseconds 119 116 119 127 210 569 0 0 74 336 191 90 127 32 128 49 132 40 68 152 25 50 100 128 177
Character u s .
Milliseconds 144 88 96
WPM Timing
Seconds WPM
1.92 43.67
3.85 84.23
5.77 87.35
7.69 99.82
9.62 104.82
11.54 109.18
13.46 115.87
15.39 122.44
17.31 122.7
19.23 119.79
21.16 117.41
23.08 112.82
25 114.22
26.93 115.87
28.85 115.21
30.77 115.42
32.7 111.94
34.62 114.73
36.54 114.6
38.47 116.36
40.39 114.38
42.31 112.02
44.24 113.66
46.16 114.9
48.08 114.8
50.01 115.66
51.93 116.69
53.85 117.87
55.78 117.04
57.7 116.67
59.62 114.72
61.55 115.42
63.47 113.06
65.4 111.57
67.32 112.3
69.24 112.82
71.17 112.13
73.09 113.29
75.01 111.82
76.94 111.37
78.86 110.48
80.78 112.3
82.71 112.88
84.63 112.3
86.55 113
88.48 112.57
90.4 110.58
92.32 109.18
94.25 107.72
96.17 107.81