Zero (0gundam)

Race #3226

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Official speed 127.81 wpm (81.12 seconds elapsed during race)
Without ending ping 128.22 wpm (259 ms delay sending score to TypeRacer’s server)
Timerless 128.88 wpm (411 ms elapsed before first character typed; 80.45 seconds elapsed during race)
Timerless minus one 128.73 wpm, ignoring the first character typed
Race Start December 5, 2023 7:05:31am UTC
Race Finish December 5, 2023 7:06:52am UTC
Outcome Win (1 of 4)
Opponents 2. micaelaishot123 (119.02 wpm)
3. hahafunfunsplit (95.95 wpm)
Accuracy 98.1%
Points 345.10
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 Calcul8us isus ia s 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 chang e as a function of time? How does the level of water in a barrel change as a function of the amount of liquid poruured into it? We see change occuring in loccurring in nearly everything we observe in the world and unicverse, 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 tht at they are closely related to the slope of a rcurive ave at a point P on the curve. We give precise developments of these important concepts in the next chatper,chatperpter, but for now we use an informall papapprocach so you will see how they lead naturally to the main idea of this chatperpter, the limit. The dieaidea of a limit plays a foundational role throughout calculus.
Timing
Character C a l c u l 8 u s i s -s -i - -s -u -8 u s i a -
Milliseconds 411 98 99 60 126 159 209 0 84 77 71 35 226 136 139 132 132 123 118 85 103 27 137 86 236
Character -a s a t o o l t h a t h e l p s u s u
Milliseconds 124 45 51 72 89 66 83 120 144 34 60 49 45 55 8 73 90 90 50 35 63 62 148 55 101
Character n d e r s t a n d h o w a c h a n g e i n
Milliseconds 16 59 140 54 85 74 67 19 109 56 33 59 46 66 86 90 81 33 108 51 59 33 59 33 36
Character o n e q u a n t i t y i s r e l a t e d
Milliseconds 75 127 33 61 61 114 50 117 76 78 67 78 84 84 134 80 68 94 31 65 33 66 36 141 66
Character t o a c h a n g e i n a n o t h e r . H
Milliseconds 62 33 86 80 100 63 53 82 54 68 53 40 34 43 70 51 56 46 34 83 51 60 66 71 113
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 85 67 71 116 69 61 19 71 62 82 49 49 63 112 39 119 128 55 108 35 60 59 99 63 58
Character l l i n g o b j e c t c h a n g - e a s
Milliseconds 85 116 36 47 31 51 67 49 157 44 41 120 60 108 49 85 63 50 114 331 74 66 95 31 73
Character a f u n c t i o n o f t i m e ? H o w d
Milliseconds 66 99 77 55 22 72 63 32 25 42 57 84 47 68 182 101 21 66 185 60 144 146 51 56 110
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 52 77 25 97 37 77 74 31 158 76 82 55 74 75 81 50 53 92 113 27 124 29 59 40 34
Character a b a r r e l c h a n g e a s a f u n
Milliseconds 81 51 118 50 62 74 310 99 97 80 103 39 59 100 43 19 77 82 81 42 90 62 70 76 21
Character c t i o n o f t h e a m o u n t o f l i
Milliseconds 95 54 16 55 13 60 84 43 66 73 40 78 68 39 69 68 50 35 45 61 64 55 58 70 53
Character q u i d p o r u -u -r u r e d i n t o i t ?
Milliseconds 112 94 37 44 67 115 158 4 27 396 129 457 73 104 147 37 54 21 70 83 56 123 65 170 43
Character W e s e e c h a n g e o c c u r i n g i n
Milliseconds 207 121 70 146 664 105 65 107 49 58 88 42 46 84 304 122 92 117 51 94 22 45 54 148 5
Character l -l -o -c -c -u -r -i -n -g - -i -n - o c c u r r i n g
Milliseconds 114 138 243 260 0 0 0 0 0 0 0 0 0 0 0 468 76 121 141 69 142 121 29 59 48
Character i n n e a r l y e v e r y t h i n g w e o
Milliseconds 30 31 91 69 99 53 39 189 91 54 168 70 45 38 118 114 138 97 51 43 38 67 44 74 74
Character b s e r v e i n t h e w o r l d a n d u
Milliseconds 32 99 71 36 175 48 105 78 25 60 60 54 62 63 49 100 60 111 17 75 40 85 63 50 68
Character n i c -c v e r s e , a n d p o w e r f u l m
Milliseconds 52 130 65 296 77 117 57 42 433 139 58 73 77 35 74 83 19 81 47 27 152 60 28 72 58
Character o d e r n i n s t r u m e n t s h e l p u s
Milliseconds 59 63 152 43 59 101 79 53 16 57 151 74 163 86 68 44 67 46 67 93 61 32 76 67 89
Character s e e m o r e a n d m o r e . I n t h
Milliseconds 47 96 28 141 90 61 41 38 52 40 46 75 67 32 76 41 41 46 75 48 138 125 78 47 56
Character i s s e c t i o n w e i n t r o d u c e t
Milliseconds 42 30 52 74 33 231 116 50 28 38 46 61 41 93 162 54 96 168 74 92 123 46 138 83 59
Character h e i d e a s o f a v e r a g e a n d i
Milliseconds 42 96 51 146 93 146 69 102 46 57 50 75 79 64 123 24 109 78 43 60 89 121 73 48 103
Character n s t a n t a n e o u s r a t e s o f c h a
Milliseconds 23 100 105 74 98 178 79 216 296 140 37 91 74 198 101 103 57 48 70 39 73 61 131 61 28
Character n g e , a n d s h o w t h t - -t a t t h
Milliseconds 137 24 54 174 129 86 81 64 45 81 77 46 35 82 74 81 212 115 250 139 249 41 80 58 76
Character e y a r e c l o s e l y r e l a t e d t o
Milliseconds 61 93 24 83 65 44 64 90 80 135 20 45 99 50 42 137 29 53 40 35 53 114 83 65 45
Character t h e s l o p e o f a r -r c u r i v e
Milliseconds 78 54 48 67 82 55 48 166 9 52 55 74 51 38 94 80 106 259 74 75 30 179 61 64 66
Character a -a - -e -v -i v e a t a p o i n t P o n
Milliseconds 135 217 136 148 143 353 88 34 39 116 46 85 54 66 124 29 34 51 22 40 185 102 112 66 88
Character t h e c u r v e . W e g i v e p r e c i s
Milliseconds 52 52 84 62 127 85 36 165 34 117 101 164 139 67 127 81 71 41 67 90 48 69 179 75 64
Character e d e v e l o p m e n t s o f t h e s e i
Milliseconds 53 56 92 146 65 14 163 163 29 188 110 66 4 163 51 249 86 37 111 45 82 88 55 38 101
Character m p o r t a n t c o n c e p t s i n t h e
Milliseconds 10 48 40 43 34 90 28 87 49 143 40 46 74 145 84 57 67 71 83 22 64 57 41 101 62
Character n e x t c h a t p e r , -, -c -h -a -t -p -e -r c h a t
Milliseconds 51 59 153 60 64 104 59 86 84 0 158 27 97 231 131 0 0 0 0 0 0 147 67 166 95
Character p e r -r -e -p -t p t e r , b u t f o r n o w
Milliseconds 40 157 0 279 138 138 150 171 51 113 51 61 105 26 49 60 58 105 14 124 45 56 42 43 49
Character w e u s e a n i n f o r m a l l -l p a p -p
Milliseconds 97 46 65 85 56 31 90 113 119 82 139 24 104 480 142 111 86 158 114 353 98 114 6 167 263
Character -a -p a p p r o c -c a c h s o y o u w i l l
Milliseconds 132 125 91 100 107 51 111 72 341 61 51 75 91 56 74 78 75 89 44 45 59 54 121 138 53
Character s e e h o w t h e y l e a d n a t u r a l
Milliseconds 66 56 107 58 76 38 40 41 77 59 89 74 85 57 67 56 84 55 79 52 57 90 96 81 21
Character l y t o t h e m a i n i d e a o f t h
Milliseconds 153 349 96 89 88 38 64 75 55 54 59 75 68 27 36 107 47 152 53 81 99 31 76 91 35
Character i s c h a t p e r -r -e -p -t p t e r , t h e l
Milliseconds 29 54 46 104 28 113 89 29 180 19 254 139 138 120 161 45 108 36 68 84 97 46 138 37 64
Character i m i t . T h e d i e a -d -i -e -a i d e a o f
Milliseconds 34 87 43 100 152 144 176 154 68 56 117 9 153 99 211 0 0 0 133 57 164 16 77 107 53
Character a l i m i t p l a y s a f o u n d a t i
Milliseconds 46 65 98 72 62 31 78 70 56 114 31 82 56 128 72 70 89 51 73 32 41 28 204 134 87
Character o n a l r o l e t h r o u g h o u t c a l c
Milliseconds 29 35 83 104 69 106 71 143 37 50 61 82 82 61 32 100 50 112 33 67 54 162 43 50 109
Character u l u s .
Milliseconds 62 129 179 128 37
WPM Timing
Seconds WPM
1.62 44.38
3.24 36.98
4.87 81.36
6.49 109.1
8.11 118.34
9.73 130.67
11.36 134.19
12.98 139.61
14.6 140.53
16.22 140.53
17.85 143.22
19.47 143
21.09 147.93
22.71 141.06
24.34 139.05
25.96 134.98
27.58 127.04
29.2 128.2
30.83 129.63
32.45 130.92
34.07 130.32
35.69 131.45
37.32 134.42
38.94 135.29
40.56 135.21
42.18 135.98
43.81 134.23
45.43 135.51
47.05 133.65
48.67 135.11
50.29 134.81
51.92 131.52
53.54 132.46
55.16 132.27
56.78 131.87
58.41 133.14
60.03 132.74
61.65 129.83
63.27 130.48
64.9 129.81
66.52 127.18
68.14 127.15
69.76 128.15
71.39 128.26
73.01 128.37
74.63 127.83
76.25 126.53
77.88 127.28
79.5 127.85
81.12 127.81