zero (crispyasf)

Race #12548

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Official speed 107.31 wpm (96.62 seconds elapsed during race)
Without ending ping 107.68 wpm (336 ms delay sending score to TypeRacer’s server)
Timerless 108.06 wpm (331 ms elapsed before first character typed; 95.95 seconds elapsed during race)
Timerless minus one 107.93 wpm, ignoring the first character typed
Race Start December 29, 2023 6:29:16am UTC
Race Finish December 29, 2023 6:30:52am UTC
Outcome Win (1 of 5)
Opponents 2. michaelch (103.40 wpm)
3. manojrawat6453 (89.81 wpm)
4. dmitry_ (79.37 wpm)
Accuracy 96.5%
Points 289.73
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. How does the speed of a falling object change as a fucntntiction of time? How does the leve lof lf o of water in a barrel change as a fucntnction unctinoon of the amount of liquid pourided into it. ? We see change occurring in nearl y everything we obseerrve in the wolrrld and universe, and powerful modern instruments help us see more and more. In thise se section we introduced e the ideas of average and instantenaneous rateso of chagne,nge, and show taht that they are closely related to the sope polope of a curve at tha point P on the curve. We give precuse dise development of ts of these important concepts in the next chapeters, , but for no w we use an informal approach osso you will sheee how they lead naturally to rhe main the main idea of thsiis chapterm , the limit. The idea of a limit plays a foundational role throughtououtc calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 331 97 101 82 169 82 184 116 69 148 67 52 82 72 100 62 128 104 279 82 211 0 0 76 67
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 96 108 37 45 54 173 53 59 107 29 103 104 69 103 59 66 67 91 53 88 39 40 73 93 80
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 355 105 46 120 56 45 50 96 28 52 172 44 90 72 124 98 120 95 100 63 103 124 71 116 58
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 43 105 58 72 118 84 97 91 58 107 76 52 157 100 108 120 31 154 36 81 82 232 40 64 59
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 90 43 47 77 35 49 122 70 143 106 44 64 84 102 64 12 90 118 113 74 94 0 101 72 103
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 49 92 90 89 138 73 107 68 65 87 152 28 37 19 46 121 156 140 53 36 137 78 112 102 42
Character n g e a s a f u c n t -t -n -c n t i -i -t c t i
Milliseconds 107 36 52 70 27 202 25 115 74 115 139 18 44 213 149 97 82 170 162 48 250 108 151 74 97
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 36 16 67 69 61 70 97 61 26 67 126 191 57 183 93 64 115 110 59 56 47 61 105 45 30
Character l e v e l o f - -f -o -l - l f o -o - -f o f
Milliseconds 158 71 54 118 129 12 179 80 63 80 91 84 91 125 174 150 90 126 206 136 125 126 85 69 64
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 85 93 67 86 65 39 87 28 80 79 101 48 61 61 116 118 82 105 267 82 70 73 42 40 68
Character a s a f u c n t -t -n -c -u n c t i o n - -n -o -i
Milliseconds 83 57 78 54 118 83 121 37 18 214 220 90 100 382 149 67 44 48 22 35 67 180 94 86 92
Character -t -c -n u n c t i n o -o -n o n o f t h e a m o
Milliseconds 108 96 105 212 22 85 49 57 68 108 270 103 138 18 61 69 87 41 108 30 93 46 114 101 42
Character u n t o f l i q u i d p o u r i d -d -i e d
Milliseconds 33 40 72 56 55 82 48 107 69 146 93 44 72 56 115 40 213 65 504 43 176 92 42 48 46
Character i n t o i t . - -. ? W e s e e c h a n g
Milliseconds 55 25 87 46 111 75 83 100 99 322 91 122 67 115 185 72 93 45 109 77 131 93 80 83 46
Character e o c c u r r i n g i n n e a r l - y e
Milliseconds 40 28 89 64 132 142 133 398 73 23 87 46 63 27 93 72 86 34 77 53 102 254 63 61 32
Character v e r y t h i n g w e o b s e e r -r -e r v e
Milliseconds 92 83 71 125 48 128 16 59 60 64 85 53 50 98 37 61 50 149 415 146 113 62 197 37 39
Character i n t h e w o l r -r -l r l d a n d u n i v
Milliseconds 110 21 53 87 63 79 59 57 114 176 92 133 106 77 101 0 433 75 74 55 36 113 48 102 61
Character e r s e , a n d p o w e r f u l m o d e r n
Milliseconds 147 44 128 33 78 77 72 74 54 44 118 48 73 29 34 141 114 28 73 129 25 58 131 43 104
Character i n s t r u m e n t s h e l p u s s e e
Milliseconds 135 100 42 89 134 43 89 20 126 55 88 49 55 96 81 106 17 70 152 63 44 119 60 101 87
Character m o r e a n d m o r e . I n t h i s e s
Milliseconds 52 53 72 45 102 65 89 51 35 106 38 41 32 98 128 84 185 104 60 74 45 95 73 136 106
Character e -e -s - -e s e c t i o n w e i n t r o d u c
Milliseconds 52 152 100 92 71 44 66 41 162 143 125 33 23 105 83 43 68 139 39 78 40 82 60 124 47
Character e d - -d -e e t h e i d e a s o f a v e r
Milliseconds 94 59 72 224 107 246 380 52 111 49 76 39 176 41 55 46 75 63 103 33 67 90 72 135 49
Character a g e a n d i n s t a n t e n -n -e a n e o u s
Milliseconds 64 91 49 44 35 126 64 40 121 44 80 64 91 86 79 201 88 233 112 129 57 423 81 39 49
Character r a t e s o - -o o f c h a g n e , -, -e -n -g
Milliseconds 39 236 97 84 48 130 186 83 188 100 66 87 55 74 101 112 71 69 10 50 131 211 95 114 71
Character n g e , a n d s h o w t a h t t -t - -t -h -a
Milliseconds 140 99 30 16 175 53 98 53 49 182 66 36 55 103 179 100 14 81 90 49 219 89 94 96 98
Character h a t t h e y a r e c l o s e l y r e l a
Milliseconds 176 48 68 55 93 73 68 89 49 112 9 50 55 168 72 45 57 45 86 77 63 90 44 69 77
Character t e d t o t h e s o p e p o -o -p - -e -p -o l
Milliseconds 36 65 119 41 121 31 155 70 400 53 63 51 150 35 54 55 85 7 171 93 101 76 108 115 192
Character o p e o f a c u r v e a t t h -h -t a p
Milliseconds 45 15 62 42 76 84 69 42 379 66 89 77 147 67 110 71 89 32 114 57 190 90 83 44 126
Character o i n t P o n t h e c u r v e . W e g
Milliseconds 27 154 30 45 46 160 141 191 44 58 52 99 36 62 98 106 64 148 34 106 61 98 116 70 109
Character i v e p r e c u s e d -d - -e -s -u i s e d e v
Milliseconds 94 59 26 64 98 39 49 138 133 25 41 118 124 165 85 88 94 102 214 70 22 88 93 56 116
Character e l o p m e n t o f t -t - -f -o - s o f t h
Milliseconds 68 88 43 19 137 99 44 87 70 24 74 113 60 170 81 83 90 102 67 64 86 62 47 80 91
Character e s e i m p o r t a n t c o n c e p t s i n
Milliseconds 77 35 76 31 180 49 113 42 79 25 102 102 80 43 162 80 40 63 54 100 79 130 86 136 35
Character t h e n e x t c h a p e -e t e r s , - -, -s
Milliseconds 47 55 90 69 39 157 52 67 202 58 112 113 92 72 86 203 103 163 32 115 93 69 379 103 113
Character , b u t f o r n o - w w e u s e a n
Milliseconds 188 91 92 43 41 50 86 93 34 78 65 47 86 208 99 53 126 46 87 196 53 38 107 109 96
Character i n f o r m a l a p p r o a c h o s -s -o s o
Milliseconds 37 135 34 43 114 107 109 77 87 52 347 21 113 75 87 83 22 104 78 75 33 495 129 72 102
Character y o u w i l l s h e -e -h e e h o w t h e
Milliseconds 230 158 36 48 75 65 33 16 114 78 75 88 126 138 94 51 129 51 101 42 19 63 102 81 78
Character y l e a d n a t u r a l l y t o r h e m
Milliseconds 70 74 101 71 91 65 56 153 27 67 151 179 112 6 113 98 50 115 70 91 104 72 53 79 133
Character a i n - -n -i -a -m - -e -h -r t h e m a i n i d e
Milliseconds 77 84 27 53 218 81 82 104 105 101 103 106 110 110 198 64 76 114 60 85 20 40 134 0 73
Character a o f t h s i -i -s i s c h a p t e r m - -m
Milliseconds 52 52 141 46 57 65 83 93 49 201 90 169 48 37 97 201 133 74 67 99 54 168 58 368 104
Character , t h e l i m i t . T h e i d e a o f
Milliseconds 146 48 53 83 53 43 70 46 45 263 86 129 99 108 112 75 0 77 46 41 59 13 113 43 57
Character a l i m i t p l a y s a f o u n d a t i o
Milliseconds 59 93 67 58 43 89 83 49 742 55 89 135 68 9 96 75 103 65 45 6 326 114 59 65 10
Character n a l r o l e t h r o u g h t o u -u -o -t o u t
Milliseconds 21 70 96 75 75 87 78 49 45 114 58 68 81 40 42 73 90 99 47 280 107 272 201 32 57
Character c -c c a l c u l u s .
Milliseconds 225 247 51 62 57 42 66 136 34 114 114 131
WPM Timing
Seconds WPM
1.93 99.36
3.86 117.99
5.8 126.27
7.73 128.86
9.66 131.65
11.59 133.52
13.53 135.73
15.46 125.75
17.39 125.58
19.32 120.48
21.26 117.99
23.19 119.03
25.12 109.87
27.05 108.23
28.99 110.13
30.92 107.12
32.85 108.49
34.78 109.37
36.71 108.84
38.65 108.37
40.58 110.6
42.51 112.63
44.44 114.48
46.38 113.59
48.31 111.78
50.24 113.93
52.17 112.24
54.11 110.89
56.04 110.28
57.97 109.92
59.9 110.58
61.84 109.06
63.77 109.15
65.7 110.14
67.63 108.76
69.56 108.33
71.5 109.43
73.43 109.66
75.36 108.76
77.29 109.3
79.23 108.3
81.16 108.68
83.09 109.18
85.02 106.98
86.96 107.5
88.89 107.19
90.82 108.08
92.75 108.03
94.68 107.85
96.62 107.31