<content> calculations </content>

2c432057-82a8-4625-94c8-cd1e73eb7a86 8 4 5 false false 0 0 decimal

&[DATE] &[TIME] - &[FILENAME]

quick integration

resolution 500 :

a 0 :

b 10 :

h b a - resolution 1 - / :

X h 0 resolution 1 - (range * a + :

Y X sin vectorize :

X transpose 000 0.1 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 0.2 0.3 0.3 115 mat

<content> integration </content>

resolution 1 matrix transpose 0000000000000000000000000125 mat

X transpose 0 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.4 0.5 0.5 0.6 0.6 0.7 114 mat

X h 0 resolution 1 - (range * a + :

X transpose 0 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.4 0.5 0.5 0.6 0.6 0.7 0.7 0.8 0.8 0.9 0.9 1120 mat

Y transpose 0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.4 0.4 0.5 0.5 0.6 0.6 0.6 0.7 0.7 0.8 0.8 0.8 120 mat

X Y augment

summing Y

YS resolution 1 matrix :

YS transpose 0000000000000000000000000125 mat

a 2 resolution range YS a el YS a 1 - el Y a el + : for

YS YS h * :

YS transpose 000000 0.1 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.3 117 mat

YSS resolution 1 matrix :

YSS transpose 0000000000000000000000000125 mat

a 2 resolution range YSS a el YSS a 1 - el YS a el + : for

YSS YSS h * :

YSS transpose 0000000000000 0.1 0.1 0.1 0.1 0.1 0.1 0.2 0.2 121 mat

t1 1 time :

<content> integration by function </content>

Y integration 1 n Y length : YS n 1 matrix : s 0 : a 2 n range s s Y a el + eval : YS a el s : 21 line for YS 51 line * :

Y integration 1 n Y length : YS n 1 matrix : s 0 : a 2 n range s s Y a 1 - el Y a el + 2 / + eval : YS a el s : 21 line for YS 51 line * :

YS h Y integration * :

YSS h YS integration * :

X Y augment X YS augment X YSS augment 3 1 sys

X Y YS YSS augment 00000002106 -^* 0000 0.1 0.1 00 0.1 0.1 00 0.1 0.1 00 0.1 0.1 00 0.1 0.1 00 0.2 0.2 00 0.2 0.2 00 0.2 0.2 0.1 0 0.2 0.2 0.1 0 0.2 0.2 0.1 0 0.3 0.3 0.1 0 0.3 0.3 0.2 0 0.3 0.3 0.2 0 0.3 0.3 0.3 0 0.3 0.3 0.3 0 0.4 0.4 0.4 0 0.4 0.4 0.5 0 0.4 0.4 0.5 0 0.4 0.4 0.6 0224 mat

YSS resolution el 10.5437

t2 1 time :

t2 t1 - ms 2651