Kompyuter tizimlari

O‘ZBEKISTON RESPUBLIKASI AXBOROT TEXNOLOGIYALARI VA KOMMUNIKATSIYALARINI RIVOJLANTIRISH VAZIRLIGI MUHAMMAD AL-XORAZMIY NOMIDAGI TOSHKENT AXBOROT TEXNOLOGIYALARI UNIVERSITETI

“KOMPYUTER TIZIMLARI” kafedrasi

LABARATORIYA ISHI

211-19 guruh talabasi Xushvaqov Azizbek

Toshkent – 2022

1-Laboratoriya mashg’uloti. Matlab tizimida interpolyatsiya va approksimatsiya masalalarini yechish.
Ishdan maqsad: Matlab tizimida arifmetik ifodalar qiymatlarini hisoblash, o’zlashtirish operatorlaridan foydalanish, kompleks sonlar bilan ishlash ko’nikmalarini hosil qilish.
Nazariy ma’lumot:

1. 
   n – tartibli ko’phad quyidagicha ifodalanadi:
   

(1)
n –ko’phad tartibi, .
Аgar bo’lsa, ya’ni u holda funksiya rasional funksiya deyiladi. Ikki ko‘phadning nisbati natijasida kasr-rasional funksiya hosil bo‘ladi.
Matlabdа (1) ko‘phad koeffisientlari darajalari kamayib borish tartibida joylashtirilgan vektor ko‘rinishida ifodalanadi. Masalan: ko’phadni Matlabdа berilishi:

2. 
   Ikki m – vа n – tartibli ko’phadlarni ko’paytirish operatsiyasi konvolyutsiya deyiladi va quyidagicha kiritiliadi: с=conv(a,b), bu yerdа a,b – uzunliklari (m+1) va (n+1) bo‘lgan va ko‘paytirilayotgan ko‘phadlar koeffisientlaridan iborat vektorlar.
   

Variant nomer : 15

Y=

0.1≤x≤1

30

>> x = linspace(0.1,1,30)

x =
Columns 1 through 11
0.1000 0.1310 0.1621 0.1931 0.2241 0.2552 0.2862 0.3172 0.3483 0.3793 0.4103
Columns 12 through 22
0.4414 0.4724 0.5034 0.5345 0.5655 0.5966 0.6276 0.6586 0.6897 0.7207 0.7517
Columns 23 through 30
0.7828 0.8138 0.8448 0.8759 0.9069 0.9379 0.9690 1.0000
>> y = ((1 + x.^2)/2).* atan(x) - x/2
y =
Columns 1 through 11
0.0003 0.0007 0.0014 0.0024 0.0037 0.0055 0.0077 0.0104 0.0138 0.0177 0.0223
Columns 12 through 22
0.0276 0.0337 0.0406 0.0483 0.0569 0.0664 0.0768 0.0882 0.1006 0.1141 0.1286

Columns 23 through 30

0.1442 0.1608 0.1787 0.1976 0.2178 0.2391 0.2616 0.2854


1-rasm. Matlab dasturidagi kiritilishi

2-rasm. Grafigining ko’rinishi

Номер варианта	15
x	y
1.2	0.079
1.3	0.114
1.4	0.146
1.6	0.204
1.7	0.230
1.9	0.278
2.1	0.222
2.2	0.142
2.4	0.180
2.6	0.241
2.7	0.331

x = [1.2 1.3 1.4 1.6 1.7 1.9 2.1 2.2 2.4 2.6 2.7]

x =

Columns 1 through 5

1.2000 1.3000 1.4000 1.6000 1.7000

Columns 6 through 10

1.9000 2.1000 2.2000 2.4000 2.6000

Column 11

2.7000

>> xi = [0.079 0.114 0.146 0.204 0.230 0.278 0.222 0.142 0.180 0.241 0.311]

xi =

Columns 1 through 5

0.0790 0.1140 0.1460 0.2040 0.2300

Columns 6 through 10

0.2780 0.2220 0.1420 0.1800 0.2410

Column 11

0.3110

>> y = ((1 + x.^2)/2).* atan(x) - x/2

y =

Columns 1 through 5

0.4688 0.5808 0.7068 1.0017 1.1710

Columns 6 through 10

1.5540 1.9969 2.2410 2.7749 3.3701

Column 11

3.6907

>> fi2=interp1(x,y,xi,'spline');

plot(x,z,'-o',y,fi1,':*'), grid, hold on
legend (' = ((1 + x.^2)/2).* atan(x) - x/2','spline')
>>