Tiermor (tiermor)

Race #140

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Official speed 90.13 wpm (115.03 seconds elapsed during race)
Without ending ping 90.25 wpm (155 ms delay sending score to TypeRacer’s server)
Timerless 90.50 wpm (310 ms elapsed before first character typed; 114.57 seconds elapsed during race)
Timerless minus one 90.39 wpm, ignoring the first character typed
Race Start April 5, 2024 2:04:32am UTC
Race Finish April 5, 2024 2:06:27am UTC
Outcome No win (3 of 4)
Opponents 1. arkosammy_1208 (117.75 wpm)
2. alphasm (90.37 wpm)
Accuracy 96.3%
Points 243.35
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 quanititi isy is related to a change in another. How does the speed of a falling object chnageange as a function of time? How does the level of water in a barrel change as a function of the amount of liquid puoured into it? We see change occuring inring in nearly eveyreyyhtinthing we observe in the world and iuniverse, and powerfuo ml modern insturruments help us see more and more. In this section we introduce the ideas of average and instantaneous rate ss of change, and show thrat they are closelsyt y related to the slope of a curve ta at a pooiint P on the ecurve. WE e give precise developments of these iomportant concepts in the nxt ext chapter, but for now we use an infronormal apporachroach so you wil lse l see how the lead yt l lead naturally to the main idea of this chapter, the limi.tt. The idea of a limit plkayays a foundation al role throughtoout calcuclus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 310 149 145 111 152 200 144 99 102 66 69 100 76 106 88 86 120 128 80 97 175 96 96 41 231
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 96 88 136 58 111 94 81 82 293 139 69 25 143 73 104 88 88 112 95 122 182 40 88 225 104
Character c h a n g e i n o n e q u a n i -i t i t i
Milliseconds 143 104 82 81 70 49 70 56 113 96 97 127 47 56 129 96 136 111 257 225 103 71 113 224 144
Character i s -s -i - -i y i s r e l a t e d t o a c
Milliseconds 136 88 160 146 158 135 201 273 134 97 40 424 80 63 115 62 80 151 49 137 104 49 119 81 142
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 104 73 87 75 45 48 88 128 40 64 96 136 80 64 112 48 106 102 176 96 96 114 94 112 64
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 56 58 126 73 110 58 175 96 104 136 176 48 99 53 81 33 134 104 64 87 137 136 128 16 74
Character o b j e c t c h n a g e -e -g -a -n a n g e a s
Milliseconds 230 168 64 696 136 194 86 232 88 136 64 114 70 184 136 128 114 78 96 58 46 57 103 56 112
Character a f u n c t i o n o f t i m e ? H o w d
Milliseconds 80 130 62 80 120 57 135 65 576 143 82 123 78 53 96 66 110 90 167 135 250 78 106 94 64
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 104 96 32 64 104 90 78 64 96 64 160 80 136 58 126 96 56 89 65 94 80 96 72 88 122
Character a b a r r e l c h a n g e a s a f u n
Milliseconds 70 72 74 152 64 134 144 64 128 104 273 127 64 130 46 56 56 80 88 80 88 107 167 54 136
Character c t i o n o f t h e a m o u n t o f l i
Milliseconds 40 160 80 98 142 64 104 64 89 80 87 96 58 94 139 125 136 144 48 66 710 58 87 40 138
Character q u i d p u -u o u r e d i n t o i t ? W e
Milliseconds 93 106 184 470 98 184 207 193 126 146 97 77 144 88 97 103 48 458 255 240 79 200 105 96 368
Character s e e c h a n g e o c c u r i n g i n -n -i
Milliseconds 159 161 89 102 88 104 112 88 97 96 39 49 367 96 115 117 66 110 97 48 47 105 119 152 144
Character - -g -n -i r i n g i n n e a r l y e v e y -y r
Milliseconds 129 128 143 137 64 80 160 64 63 121 95 48 305 72 64 120 48 121 69 121 185 56 232 289 111
Character e y -y -e y h t i n -n -i -t -h t h i n g w e o b s
Milliseconds 16 176 255 136 145 120 120 73 151 151 136 128 120 82 64 120 110 48 65 72 72 72 200 184 160
Character e r v e i n t h e w o r l d a n d i -i u
Milliseconds 72 231 177 56 98 78 122 70 65 87 120 26 117 137 64 120 96 57 79 80 72 48 97 199 136
Character n i v e r s e , a n d p o w e r f u o m -m -
Milliseconds 128 154 78 89 119 120 112 128 96 88 88 65 47 128 160 66 54 145 159 104 160 65 135 168 168
Character -o l m o d e r n i n s t u r -r -u r u m e n t s
Milliseconds 96 104 96 72 152 32 48 128 72 168 72 122 38 88 120 56 360 138 110 48 144 49 95 80 64
Character h e l p u s s e e m o r e a n d m o r
Milliseconds 129 255 64 56 136 32 128 64 49 135 49 128 105 103 159 16 48 41 127 48 58 94 216 144 48
Character e . I n t h i s s e c t i o n w e i n t
Milliseconds 41 111 88 168 112 40 96 72 144 48 80 120 48 208 136 40 130 110 64 80 72 72 169 127 59
Character r o d u c e t h e i d e a s o f a v e r a
Milliseconds 141 112 136 152 74 86 82 102 82 78 56 99 93 32 75 133 128 122 94 58 190 153 79 120 96
Character g e a n d i n s t a n t a n e o u s r a t e
Milliseconds 113 81 110 168 107 102 39 80 114 54 64 176 123 94 105 334 240 88 176 98 65 205 64 121 95
Character s -s - s o f c h a n g e , a n d s h o w
Milliseconds 82 70 232 136 64 50 118 89 47 128 106 0 591 90 54 136 360 88 104 47 81 48 88 152 32
Character t h r -r a t t h e y a r e c l o s e l s y
Milliseconds 64 120 74 94 248 160 66 70 120 80 98 110 24 112 40 99 5 128 82 126 26 70 104 96 72
Character t - -t -y -s y r e l a t e d t o t h e s l
Milliseconds 32 42 222 144 136 152 82 38 128 66 103 87 59 101 128 112 137 63 104 64 91 109 48 113 71
Character o p e o f a c u r v e t a - -a -t a t a
Milliseconds 120 144 73 63 104 90 62 106 110 90 175 79 168 72 106 102 160 138 175 137 135 71 52 61 105
Character p o o i -i -o i n t P o n t h e e -e c u r
Milliseconds 103 56 143 152 16 272 137 121 126 80 16 152 80 120 161 119 97 79 105 49 126 304 122 126 80
Character v e . W E - -E e g i v e p r e c i s e d
Milliseconds 168 64 112 104 248 56 96 346 134 56 64 168 112 89 47 40 258 78 48 122 134 83 86 50 149
Character e v e l o p m e n t s o f t h e s e i o -o m
Milliseconds 97 153 86 82 254 489 216 335 160 66 80 57 96 94 39 116 61 106 53 130 22 161 0 391 169
Character p o r t a n t c o n c e p t s i n t h e n
Milliseconds 159 133 35 146 87 98 77 112 273 63 138 55 40 128 114 53 99 62 120 50 70 98 93 50 89
Character x t - -t -x e x t c h a p t e r , b u t f o
Milliseconds 109 208 41 255 138 134 297 207 176 81 152 89 95 160 64 55 144 105 72 154 86 98 70 136 96
Character r n o w w e u s e a n i n f r o n -n -o -r
Milliseconds 56 64 64 120 64 466 78 95 58 206 73 63 33 88 90 126 112 120 74 142 32 136 232 144 176
Character o r m a l a p p o r a c h -h -c -a -r -o r o a c h
Milliseconds 192 88 80 99 117 115 61 106 110 136 24 64 136 88 168 144 136 129 150 89 120 58 94 122 86
Character s o y o u w i l l s e - -e -s -l - l s e e
Milliseconds 72 128 56 88 64 112 56 48 64 144 112 8 88 58 78 208 135 137 127 129 112 64 97 48 175
Character h o w t h e l e a d - -d -a -e -l - y t l -l
Milliseconds 74 200 78 80 80 114 102 98 111 121 62 64 96 97 103 131 134 143 144 145 87 24 73 63 200
Character - -t l e a d n a t u r a l l y t o t h e
Milliseconds 136 120 161 71 112 96 136 57 144 79 88 106 102 8 498 126 56 64 240 48 120 73 71 89 47
Character m a i n i d e a o f t h i s c h a p t e r
Milliseconds 88 65 79 112 51 149 82 62 40 168 272 81 55 138 46 139 37 57 105 222 105 132 76 71 120
Character , t h e l i m i . t -t -. t . T h e i d e a
Milliseconds 192 104 162 95 79 72 41 119 130 134 200 145 191 130 166 113 56 144 89 126 33 241 70 72 59
Character o f a l i m i t p l k a y -y -a -k a y s a
Milliseconds 133 129 105 54 120 96 130 134 144 96 80 72 74 143 23 72 88 137 138 118 88 39 128 104 73
Character f o u n d a t i o n - a l r o l e t h r o
Milliseconds 87 98 102 136 129 8 73 111 23 112 139 62 353 168 111 90 246 122 134 39 72 97 95 104 80
Character u g h t o -o -t o u t c a l c u c -c l u s .
Milliseconds 144 40 120 408 83 213 123 117 161 64 41 166 41 79 120 112 115 429 217 137 63 112
WPM Timing
Seconds WPM
2.3 93.89
4.6 101.71
6.9 107.79
9.2 92.58
11.5 90.76
13.8 96.49
16.1 101.34
18.41 97.15
20.71 95.62
23.01 94.93
25.31 99.1
27.61 100.41
29.91 101.11
32.21 97.98
34.51 96.67
36.81 96.49
39.11 93.58
41.41 91.57
43.71 90.32
46.01 91.54
48.31 92.4
50.61 91.28
52.92 91.84
55.22 93.45
57.52 94.51
59.82 95.29
62.12 95.04
64.42 94.07
66.72 95.14
69.02 94.58
71.32 95.57
73.62 94.21
75.92 94.04
78.22 93.73
80.52 93.14
82.82 93.16
85.13 93.04
87.43 93.06
89.73 93.35
92.03 92.19
94.33 91.98
96.63 91.4
98.93 89.88
101.23 90.45
103.53 90.99
105.83 90.6
108.13 91
110.43 90.84
112.73 90.59
115.03 90.13