murmure (poem)

Race #145321

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Official speed 124.37 wpm (83.36 seconds elapsed during race)
Without ending ping 124.89 wpm (248 ms delay sending score to TypeRacer’s server)
Timerless 125.41 wpm (347 ms elapsed before first character typed; 82.77 seconds elapsed during race)
Timerless minus one 125.26 wpm, ignoring the first character typed
Race Start December 21, 2021 7:44:18pm UTC
Race Finish December 21, 2021 7:45:42pm UTC
Outcome No win (3 of 4)
Opponents 1. kudo_ (154.06 wpm)
2. arijan_dh (124.71 wpm)
4. chang1 (123.83 wpm)
Accuracy 96.6%
Points 335.81
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; H. How does the speed of a falling object change as a function of time. Ho? How doe the s th elevehe level of water in a barrel chagn e ange as a function of the amount of liquid poured into it? We see change occuringring in nearly everyhinthing we observe in the world and universe, and powerful modern instruments helm us selp us see more and more. In this section we introduce the idea os fs of aveage arage and intanstnatnaantaneous rates of change, and show that they are closely ralelated to the slope of a cruve xcurfurfve aurve at a point P on the curfve. Wve. We give precise developments of these important concepts in the next chapter, but for now we use an informal approcach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a lmlit imit players a lays a fondatundational role throughotu calhougrroughklutout callculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 347 136 100 95 125 50 95 199 96 49 65 62 57 95 65 71 161 128 65 70 81 31 54 43 19
Character e l p s u s u n d e r s t a n d h o w a
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Character c h a n g e i n o n e q u a n t i t y i s
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Character r e l a t e d t o a c h a n g e i n a
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Character n o t h e r ; H -H - -; . H o w d o e s t h
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Character e s p e e d o f a f a l l i n g o b j e
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Character c t c h a n g e a s a f u n c t i o n o
Milliseconds 145 71 49 78 33 40 68 29 49 85 25 97 72 48 119 39 98 103 48 65 47 8 24 24 95
Character f t i m e . H o -o -H - -. ? H o w d o e t
Milliseconds 82 30 96 32 32 40 145 48 121 104 272 152 134 112 153 15 144 128 80 80 48 81 71 105 73
Character h e - -e -h -t - s t h e l e v e -h - -e -l -e -v -e
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Character h e l e v e l o f w a t e r i n a b a
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Character r r e l c h a g n e a -a - -e - -n -g n g e a
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Character s a f u n c t i o n o f t h e a m o u n
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Character t o f l i q u i d p o u r e d i n t o i
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Character t ? W e s e e c h a n g e o c c u r i n g
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Character -g -n -i r i n g i n n e a r l y e v e r y h i
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Character n -n -i -h t h i n g w e o b s e r v e i n t
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Character h e w o r l d a n d u n i v e r s e , a n
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Character d p o w e r f u l m o d e r n i n s t r u m
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Character e n t s h e l m u s s -e -l -m - -u -s - -s e l p
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Character u s s e e m o r e a n d m o r e . I n
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Character t h i s s e c t i o n w e i n t r o d u c
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Character e t h e i d e a o s f -f - -s -o - s o f
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Character a v e a g e a -a - -e -g -a r a g e a n d i n t
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Character a n -n -a -t s t n a t n a -a -n -t -a -n a n t a n e o u
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Character s r a t e s o f c h a n g e , a n d s h
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Character o w t h a t t h e y a r e c l o s e l y
Milliseconds 32 103 97 168 40 87 49 15 104 40 96 17 47 33 39 33 39 96 32 128 72 33 71 28 8
Character r a l -l -a e l a t e d t o t h e s l o p e
Milliseconds 12 144 17 335 104 40 113 24 56 39 117 75 35 61 32 48 80 40 56 56 80 136 41 63 56
Character o f a c r u v e $x -r -u -v -e - c u r f -x -u -r -f
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Character u r f v e a -u -r -f -v -e - -a u r v e a t a p
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Character o i n t P o n t h e c u r f v e . W -W -
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Character -. -e -v -f v e . W e g i v e p r e c i s e d
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Character e v e l o p m e n t s o f t h e s e i m p o
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Character r t a n t c o n c e p t s i n t h e n e x
Milliseconds 41 120 33 65 38 103 66 31 24 106 149 41 55 112 33 72 44 51 33 39 64 40 40 96 145
Character t c h a p t e r , b u t f o r n o w w e
Milliseconds 104 55 97 135 65 48 42 117 34 46 16 96 64 72 40 88 57 96 32 31 48 56 32 129 31
Character u s e a n i n f o r m a l a p p r o c -c a
Milliseconds 352 72 145 31 80 113 135 121 272 32 126 49 80 56 81 87 41 72 98 126 72 71 168 417 87
Character c h s o y o u w i l l s e e h o w t h
Milliseconds 56 109 28 67 36 56 72 104 64 24 80 48 136 105 39 57 119 128 57 32 31 33 70 41 80
Character e y l e a d n a t u r a l l y t o t h e
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Character m a i n i d e a o f t h i s c h a p t e r
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Character , t h e l i m i t . T h e i d e a o f
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Character a l m l i t -m -l -i -t - i m i t p l a y e r s
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Character a -l -a -y -e -r -s - -a - l a y s a f o n d a t
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Character -t -a -d -n u n d a t i o n a l r o l e t h r o u
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Character g h o t u c a l -h -r -o -u -g -h -o -t -u - -c -a -l h o u
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Character g -g -u r -r -o r o u g h k l u t -t -u -l -k o u t c a
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Character l l -l c u l u s .
Milliseconds 40 186 351 104 48 87 65 107 132
WPM Timing
Seconds WPM
1.67 107.96
3.33 136.75
5 155.94
6.67 158.34
8.34 152.58
10 142.75
11.67 148.06
13.34 153.84
15.01 142.35
16.67 133.87
18.34 130.86
20.01 131.95
21.67 127.89
23.34 131.61
25.01 133.87
26.68 133.6
28.34 134.21
30.01 132.35
31.68 135.99
33.35 140.35
35.01 137.43
36.68 139.37
38.35 140.5
40.01 137.35
41.68 134.16
43.35 132.32
45.02 128.75
46.68 130.84
48.35 133.27
50.02 132.91
51.69 130.95
53.35 127.53
55.02 129.12
56.69 126.59
58.35 127.7
60.02 129.55
61.69 130.33
63.36 131.26
65.02 131.03
66.69 130.63
68.36 132.01
70.03 133.66
71.69 135.08
73.36 133.97
75.03 131.95
76.7 130.02
78.36 129.55
80.03 127
81.7 125.15
83.36 124.37