zephrous (zephrous)

Race #1071

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Official speed 110.64 wpm (93.71 seconds elapsed during race)
Without ending ping 111.44 wpm (564 ms delay sending score to TypeRacer’s server)
Timerless 111.95 wpm (421 ms elapsed before first character typed; 92.72 seconds elapsed during race)
Timerless minus one 111.82 wpm, ignoring the first character typed
Race Start September 22, 2023 1:52:34pm UTC
Race Finish September 22, 2023 1:54:08pm UTC
Outcome Win (1 of 4)
Opponents 2. kamikamigod (98.25 wpm)
3. azeem838 (61.92 wpm)
Accuracy 96.3%
Points 298.74
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 Calculius is a tool that help suselps us unsderstand how a change in one quantity is related to a change in another. How does ths epeehe speed of a fallingh o object cahnghange as a fucntiounctiuon ounction 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 occurin gin ccuring inoccurring in nearly everything we observe in the world and uinvniverse, and powerful modern instruments help us s eesee more and more. In this section we introduce the ideas of average oaant d instantenaneous rates of change, and show that they are closely related to the slope of a cursve at a point P on the curgve. eve. We give precise developments of therse ihese important concepts in the next chapter, but for now we areuse an informal apparoaapproach so you will se howee hwo they ow they lead naturally to the main idea of this chaopteer,hapter, the limiktL. Tt. The idea of a limktlimit plays a fundaoundational role throughout calculuis.-s.s.
Timing
Character C a l c u l i -i u s i s a t o o l t h a t
Milliseconds 421 44 149 90 143 124 112 332 140 50 52 60 67 49 84 47 92 47 114 164 81 41 124 42 65
Character h e l p s u s -s -e -l -p - -s -u e l p s u s u
Milliseconds 52 45 63 84 136 90 27 88 181 139 259 0 0 0 0 0 91 59 127 58 79 64 102 204 51
Character n s -s d e r s t a n d h o w a c h a n g e
Milliseconds 111 40 234 61 41 315 63 70 67 44 100 32 36 66 19 68 48 83 50 50 47 84 68 53 27
Character i n o n e q u a n t i t y i s r e l a t e
Milliseconds 22 83 62 52 54 48 63 52 83 100 32 99 101 23 139 67 52 65 73 61 51 83 64 72 114
Character d t o a c h a n g e i n a n o t h e r .
Milliseconds 101 130 59 82 113 51 114 24 113 21 76 73 44 30 35 66 54 33 76 51 56 77 40 35 107
Character H o w d o e s t h s e p e e -h -s - -e -p -e -e
Milliseconds 69 109 242 41 92 25 44 89 43 75 66 61 34 76 107 66 80 38 311 0 0 0 0 0 0
Character h e s p e e d o f a f a l l i n g h o -o
Milliseconds 39 76 25 67 75 103 107 27 149 38 46 132 7 131 80 34 33 168 81 151 63 0 32 68 299
Character - -h o b j e c t c a h n g -a -h -n -g h a n g e
Milliseconds 107 100 101 111 51 125 32 49 149 73 82 57 24 169 24 368 0 0 0 46 54 49 67 35 44
Character a s a f u c n t i o -u -c -n -t -i -o u n c t i u o
Milliseconds 50 67 97 27 120 24 88 112 0 177 12 66 546 0 0 0 0 0 152 109 40 132 14 16 46
Character n o -u -n -c -t -i -u -o -n - -o u n c t i o n o f t
Milliseconds 109 86 64 267 0 0 0 0 0 0 0 0 0 72 105 35 165 17 69 105 61 66 65 34 69
Character i m e ? H o w d o e s t h e l e v e l o
Milliseconds 30 114 56 162 84 173 128 65 73 52 49 93 20 55 110 29 66 39 116 33 70 64 65 62 91
Character f w a t e r i n a b a r r e l c h a n g
Milliseconds 27 52 37 45 68 73 60 51 40 127 66 40 126 68 111 252 134 67 86 62 73 61 55 53 50
Character e a s a f u n c t i o n o f t h e a m
Milliseconds 49 27 91 59 58 60 84 82 84 112 22 160 39 51 118 66 94 50 51 72 52 49 67 12 115
Character o u n t o f l i q u i d p o u r e d i n t
Milliseconds 35 133 107 309 162 51 116 51 136 132 87 285 51 116 84 25 77 182 76 66 86 16 51 134 17
Character o i t ? W e s e e c h a n g e o c c u r
Milliseconds 32 79 65 40 183 93 66 135 86 90 67 100 29 137 77 42 67 48 60 51 34 90 120 91 66
Character i n g i n -c -c -u -r -i -n - -g -i -n - c c u r i n g
Milliseconds 76 57 67 19 57 76 34 634 0 0 0 0 0 0 0 0 0 0 76 118 73 77 66 67 70
Character i n -o -c -u -r -i -n -g - -i -n -c o c c u r r i n g i
Milliseconds 0 79 69 363 0 0 0 0 0 0 0 0 0 289 100 77 107 77 91 109 116 114 22 40 105
Character n n e a r l y e v e r y t h i n g w e o b
Milliseconds 84 68 64 83 6 33 153 65 84 131 64 106 46 156 110 72 47 70 109 66 99 35 53 197 212
Character s e r v e i n t h e w o r l d a n d u i
Milliseconds 143 66 282 152 34 51 27 132 41 26 106 50 118 33 101 49 110 171 13 52 65 51 15 112 131
Character n v -v -n -i n i v e r s e , a n d p o w e r f u
Milliseconds 9 144 285 104 101 201 67 59 83 75 91 85 19 148 83 61 55 104 34 44 66 19 33 105 50
Character l m o d e r n i n s t r u m e n t s h e l p
Milliseconds 116 68 60 65 36 39 77 73 67 94 34 50 34 99 33 134 51 77 68 32 23 109 71 82 184
Character u s s e -e - -s e -e s e e m o r e a n d
Milliseconds 82 67 57 18 126 17 162 168 103 131 55 259 40 51 110 65 43 61 32 20 54 34 33 84 27
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 38 45 72 28 82 102 66 199 102 77 37 53 19 81 68 32 146 150 22 62 106 44 66 33 52
Character i n t r o d u c e t h e i d e a s o f a v
Milliseconds 156 135 54 105 63 105 144 90 60 34 123 0 84 99 44 72 27 21 80 116 23 94 39 79 108
Character e r a g e o a -a -o a n t - -t d i n s t a n t
Milliseconds 109 62 56 108 37 82 66 236 239 125 76 76 106 101 169 93 55 52 92 150 68 51 23 92 97
Character e n -n -e a n e o u s r a t e s o f c h a n g
Milliseconds 253 135 295 100 56 84 326 100 107 67 60 75 26 102 77 122 234 49 101 47 85 48 17 134 55
Character e , a n d s h o w t h a t t h e y a r e
Milliseconds 33 61 85 63 124 49 45 74 48 46 50 66 50 41 43 49 35 78 39 34 66 33 105 34 39
Character c l o s e l y r e l a t e d t o t h e s
Milliseconds 56 150 93 152 40 42 108 61 72 84 45 85 22 67 77 65 101 83 34 66 53 150 32 192 108
Character l o p e o f a c u r s -s v e a t a p o
Milliseconds 93 125 134 107 8 229 106 44 55 61 206 127 59 91 302 51 38 66 28 111 173 83 102 65 78
Character i n t P o n t h e c u r g v e . - -. -e -v
Milliseconds 57 130 20 60 83 137 49 107 50 49 61 23 61 84 114 79 139 0 47 69 85 217 117 193 135
Character e -e -g v e . W e g i v e p r e c i s e d e
Milliseconds 207 35 233 167 65 93 97 111 145 35 428 54 67 35 59 74 216 84 149 117 52 59 84 113 53
Character v e l o p m e n t s o f t h e r s e i -h -e -r
Milliseconds 100 42 37 139 0 202 82 99 78 190 109 67 75 58 102 40 128 7 50 93 68 33 452 0 0
Character -s -e - -i h e s e i m p o r t a n t c o n c e p
Milliseconds 0 0 0 0 24 186 54 131 180 50 135 24 58 58 144 66 100 67 70 97 42 93 49 63 79
Character t s i n t h e n e x t c h a p t e r , b
Milliseconds 210 39 109 35 111 50 124 59 41 52 57 26 65 162 73 82 83 47 32 174 354 39 102 59 86
Character u t f o r n o w w e a r e $u -r -e s e a n
Milliseconds 61 44 79 99 21 135 15 168 26 74 296 38 50 84 61 55 61 334 0 0 69 49 93 41 110
Character i n f o r m a l a p p a r o -a -p -a -r -o a -a -p a
Milliseconds 116 68 104 34 117 51 69 57 68 184 72 69 124 35 73 77 358 0 0 0 0 84 176 118 95
Character p p r o a c h s o y o u w i l l s e h o
Milliseconds 53 101 82 85 27 52 72 67 151 49 137 47 27 59 81 52 32 101 145 64 18 38 100 91 55
Character w -e - -h -o -w e e h w o t h e y -w -o - -t -h -e -y
Milliseconds 66 334 0 0 0 0 61 105 55 62 20 15 96 32 39 52 27 38 451 0 0 0 0 0 0
Character - o w t h e y l e a d n a t u r a l l y t
Milliseconds 0 31 81 66 40 43 53 65 0 85 62 21 65 52 62 171 115 81 34 39 60 123 43 74 60
Character o t h e m a i n i d e a o f t h i s c
Milliseconds 36 81 56 77 48 54 60 22 96 89 27 255 85 17 14 82 80 90 85 99 52 59 84 65 91
Character h a o p t e e r , -h -a -o -p -t -e -e -r -, h a p t e r ,
Milliseconds 17 67 34 0 111 50 16 41 42 418 0 0 0 0 0 0 0 0 450 76 36 82 72 51 43
Character t h e l i m i k t L . T -T - -. -L -t -k t . T
Milliseconds 58 75 59 62 32 67 123 145 94 0 89 74 26 61 29 178 134 115 113 83 584 251 290 139 23
Character h e i d e a o f a l i m k t -l -i -k -t -m l i
Milliseconds 121 50 44 51 58 41 10 73 35 50 61 35 71 44 100 125 59 74 360 0 0 0 233 335 145
Character m i t p l a y s a f u n d a -u -n -d -a o u n d
Milliseconds 151 32 115 287 21 34 84 68 75 84 66 75 76 108 109 51 40 337 0 0 0 52 39 116 35
Character a t i o n a l r o l e t h r o u g h o u t c
Milliseconds 28 105 33 49 85 50 79 31 74 62 115 42 65 45 82 58 167 82 44 361 339 83 67 147 107
Character a l c u l u i s . -. -s -i - s . -. -s -- s .
Milliseconds 165 74 94 98 111 108 0 78 98 234 117 251 16 89 78 397 103 145 325 75
WPM Timing
Seconds WPM
1.87 76.83
3.75 80.03
5.62 83.24
7.5 113.65
9.37 122.93
11.25 125.92
13.12 125.31
14.99 118.45
16.87 113.83
18.74 108.21
20.62 112.92
22.49 116.32
24.36 121.16
26.24 119.37
28.11 121.65
29.99 116.85
31.86 112.24
33.74 114.18
35.61 114.58
37.48 113.01
39.36 116.16
41.23 116.71
43.11 117.48
44.98 118.98
46.85 120.37
48.73 118.45
50.6 116.91
52.48 119.37
54.35 120.99
56.23 120.59
58.1 121.03
59.97 118.25
61.85 117.77
63.72 118.26
65.6 116.9
67.47 117.92
69.34 118.36
71.22 118.28
73.09 116.4
74.97 116.37
76.84 116.34
78.72 117.54
80.59 116.14
82.46 115.83
84.34 114.97
86.21 113.58
88.09 113.21
89.96 113.65
91.84 112.77
93.71 110.64