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it-labs/ТЕМА1/lab1_otchet.md
2026-02-12 09:45:22 +03:00

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# Отчет по теме 1
Ершова Вероника, А-03-24
## 1 Изучение среды GNU Octave
## 2 Настройка текущего каталога
Нажал на окно рядом с *Текущая папка:* и установил путь к папке ТЕМА1:
![Скриншот выбора текущей папки](images/ch_file.PNG)
## 3 Изучение интерфейса
![Скриншот интерфейса](images/image_interface.png)
## 4 Установка пути к папкам ТЕМА1 и ТЕМА2
![Скриншот установки](images/put_file.PNG)
## 5 Изучение работы с системой помощи
![Скриншот справки](images/documentation.png)
## 6 Создание матриц и векторов
```matlab
>> A=randn(4,6)
A =
-0.3123 0.2623 -0.5659 0.8583 -0.5970 0.9411
-0.3970 0.8236 0.6951 0.6303 -0.7044 -1.7374
-1.0984 0.5386 -0.2843 -0.3507 -0.5547 -1.9063
0.1025 1.1803 -0.4632 0.4787 0.9092 -0.6363
```
```matlab
>> B=rand(4,7)
B =
0.644835 0.573813 0.875185 0.901622 0.128847 0.962663 0.245441
0.822337 0.515764 0.478145 0.540383 0.080948 0.520514 0.075695
0.893529 0.350316 0.940080 0.651110 0.694296 0.249719 0.568012
0.404731 0.782888 0.760890 0.166651 0.586766 0.664987 0.086867
```
```matlab
>> C = 4:27
C =
4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
```
```matlab
>> H='This is a symbols vector
>>> H='This is a symbols vector
```
^
```matlab
>> L=\[-2+23.1j, 3-5.6j]
L =
-2.0000 + 23.1000i 3.0000 - 5.6000i
```
## 7 Преобразования матриц
```matlab
>> D = reshape(C, \[], 6)
D =
4 8 12 16 20 24
5 9 13 17 21 25
6 10 14 18 22 26
7 11 15 19 23 27
```
```matlab
>> E=B'\*A
E =
-1.467808 1.805345 -0.234815 0.952120 -1.091901 -2.782730
-0.688507 1.687984 -0.428432 1.069487 -0.188416 -1.522026
-1.417751 2.027711 -0.782629 1.087059 -0.688963 -2.283294
-1.194195 1.228917 -0.396936 0.965854 -1.128588 -1.437582
-0.774871 1.166932 -0.485822 0.198993 0.014438 -1.716256
-0.713412 1.600553 -0.561983 1.385063 -0.475313 -0.897539
-0.721710 0.535160 -0.288015 0.100733 -0.435934 -1.038587
```
```matlab
>> F=\[A,B]
```
```matlab
>> G=A.\*D
G =
-1.2492 2.0983 -6.7912 13.7325 -11.9405 22.5867
-1.9848 7.4126 9.0365 10.7148 -14.7934 -43.4358
-6.5905 5.3857 -3.9804 -6.3131 -12.2026 -49.5632
0.7173 12.9829 -6.9475 9.0957 20.9115 -17.1799
```
```matlab
>> M=G./4.5
M =
-0.2776 0.4663 -1.5092 3.0517 -2.6534 5.0193
-0.4411 1.6472 2.0081 2.3811 -3.2874 -9.6524
-1.4646 1.1968 -0.8845 -1.4029 -2.7117 -11.0140
0.1594 2.8851 -1.5439 2.0213 4.6470 -3.8177
```
```matlab
>> DDD=D.^3
DDD =
64 512 1728 4096 8000 13824
125 729 2197 4913 9261 15625
216 1000 2744 5832 10648 17576
343 1331 3375 6859 12167 19683
```
```matlab
>> DL=D>=20
DL =
0 0 0 0 1 1
0 0 0 0 1 1
0 0 0 0 1 1
0 0 0 0 1 1
```
```matlab
>> Dstolb=D(:)
Dstolb =
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
```
## 8 Изучение стандартных математических функций и операций с матрицами
```matlab
>> B1=sqrt(B)
B1 =
0.8030 0.7575 0.9355 0.9495 0.3590 0.9812 0.4954
0.9068 0.7182 0.6915 0.7351 0.2845 0.7215 0.2751
0.9453 0.5919 0.9696 0.8069 0.8332 0.4997 0.7537
0.6362 0.8848 0.8723 0.4082 0.7660 0.8155 0.2947
```
```matlab
>> B2=log(B)
B2 =
-0.438761 -0.555453 -0.133320 -0.103559 -2.049133 -0.038052 -1.404697
-0.195605 -0.662106 -0.737842 -0.615477 -2.513947 -0.652939 -2.581039
-0.112577 -1.048919 -0.061790 -0.429077 -0.364857 -1.387420 -0.565612
-0.904533 -0.244765 -0.273267 -1.791851 -0.533128 -0.407988 -2.443381
```
```matlab
>> B3=sin(B)
B3 =
0.601067 0.542838 0.767662 0.784334 0.128490 0.820716 0.242985
0.732738 0.493200 0.460133 0.514464 0.080860 0.497326 0.075623
0.779288 0.343195 0.807605 0.606069 0.639845 0.247131 0.537958
0.393772 0.705330 0.689566 0.165881 0.553671 0.617049 0.086757
```
```matlab
>> B1=sqrt(B)
B1 =
0.8030 0.7575 0.9355 0.9495 0.3590 0.9812 0.4954
0.9068 0.7182 0.6915 0.7351 0.2845 0.7215 0.2751
0.9453 0.5919 0.9696 0.8069 0.8332 0.4997 0.7537
0.6362 0.8848 0.8723 0.4082 0.7660 0.8155 0.2947
```
```matlab
>> B2=log(B)
B2 =
-0.438761 -0.555453 -0.133320 -0.103559 -2.049133 -0.038052 -1.404697
-0.195605 -0.662106 -0.737842 -0.615477 -2.513947 -0.652939 -2.581039
-0.112577 -1.048919 -0.061790 -0.429077 -0.364857 -1.387420 -0.565612
-0.904533 -0.244765 -0.273267 -1.791851 -0.533128 -0.407988 -2.443381
```
```matlab
>> B3=sin(B)
B3 =
0.601067 0.542838 0.767662 0.784334 0.128490 0.820716 0.242985
0.732738 0.493200 0.460133 0.514464 0.080860 0.497326 0.075623
0.779288 0.343195 0.807605 0.606069 0.639845 0.247131 0.537958
0.393772 0.705330 0.689566 0.165881 0.553671 0.617049 0.086757
```
```matlab
>> NN=linspace(11.5,34.1,20)
NN =
Columns 1 through 15:
11.500 12.689 13.879 15.068 16.258 17.447 18.637 19.826 21.016 22.205 23.395 24.584 25.774 26.963 28.153
Columns 16 through 20:
29.342 30.532 31.721 32.911 34.100
```
```matlab
>> FF=ones(2,4)
FF =
1 1 1 1
1 1 1 1
```
```matlab
>> GG=zeros(5)
GG =
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
```
```matlab
>> B1D=diag(B1)
B1D =
0.8030
0.7182
0.9696
0.4082
```
```matlab
>> DB=diag(B1D)
DB =
Diagonal Matrix
0.8030 0 0 0
0 0.7182 0 0
0 0 0.9696 0
0 0 0 0.4082
```
```matlab
>> BS1=sort(B)
BS1 =
0.404731 0.350316 0.478145 0.166651 0.080948 0.249719 0.075695
0.644835 0.515764 0.760890 0.540383 0.128847 0.520514 0.086867
0.822337 0.573813 0.875185 0.651110 0.586766 0.664987 0.245441
0.893529 0.782888 0.940080 0.901622 0.694296 0.962663 0.568012
```
```matlab
>> BS2=sortrows(B,2)
BS2 =
0.893529 0.350316 0.940080 0.651110 0.694296 0.249719 0.568012
0.822337 0.515764 0.478145 0.540383 0.080948 0.520514 0.075695
0.644835 0.573813 0.875185 0.901622 0.128847 0.962663 0.245441
0.404731 0.782888 0.760890 0.166651 0.586766 0.664987 0.086867
```
```matlab
>> DS1=sum(D)
DS1 =
22 38 54 70 86 102
```
```matlab
>> DS2=sum(D,2)
DS2 =
84
90
96
102
```
```matlab
>> DP1=prod(D)
DP1 =
840 7920 32760 93024 212520 421200
```
```matlab
>> dt=det(A\*A')
dt = 73.956
```
```matlab
>> dinv=inv(A\*A')
dinv =
4.4666e-01 -1.9520e-02 1.0379e-01 -3.8572e-03
-1.9520e-02 4.8342e-01 -3.4279e-01 -8.4195e-02
1.0379e-01 -3.4279e-01 4.5435e-01 -1.6761e-02
-3.8572e-03 -8.4195e-02 -1.6761e-02 3.6871e-01
```
## 9 Изучение индексации в матрицах
```matlab
>> D1=D(3,5)
D1 = 22
```
```matlab
>> D2=D(3,4:end)
D2 =
18 22 26
```
```matlab
>> D3=D(2:3,3:5)
D3 =
13 17 21
14 18 22
```
```matlab
>> D4=D(16:20)
D4 =
19 20 21 22 23
```
```matlab
>> D5=D(3:4,\[1,3,6])
D5 =
6 14 26
7 15 27
```
## 10 Изучение управляющих конструкций
```matlab
>> Dsum=0
Dsum = 0
```
```matlab
>> for i=1:6
Dsum=Dsum+sqrt(D(2,i))
endfor
Dsum = 2.2361
Dsum = 5.2361
Dsum = 8.8416
Dsum = 12.965
Dsum = 17.547
Dsum = 22.547
```
```matlab
>> Dsum2=0;i=1
i = 1
```
```matlab
>> while (D(i)<22)
Dsum2=Dsum2+sin(D(i))
i=i+1
endwhile
Dsum2 = -0.7568
i = 2
Dsum2 = -1.7157
i = 3
Dsum2 = -1.9951
i = 4
Dsum2 = -1.3382
i = 5
Dsum2 = -0.3488
i = 6
Dsum2 = 0.063321
i = 7
Dsum2 = -0.4807
i = 8
Dsum2 = -1.4807
i = 9
Dsum2 = -2.0173
i = 10
Dsum2 = -1.5971
i = 11
Dsum2 = -0.6065
i = 12
Dsum2 = 0.043799
i = 13
Dsum2 = -0.2441
i = 14
Dsum2 = -1.2055
i = 15
Dsum2 = -1.9565
i = 16
Dsum2 = -1.8066
i = 17
Dsum2 = -0.8937
i = 18
Dsum2 = -0.057011
i = 19
```
```matlab
>> if (D(3,5)>=20)
printf('D(3,5)>=20')
else
printf('D(3,5)<20')
endif
D(3,5)>=20
```
## 11 Изучение графических функций и их вывод
>> graphics_toolkit('gnuplot')
>> plot(D(1,:),B(\[2,4],1:6))
![Обычный график](images/image_plot.png)
>> hist(A(:),6)
![Гистограмма](images/image_hist.png)
>> pie(C)
![Круговая диаграмма](images/pie_image.png)
>> bar(C)
![График bar](images/image_bar.png)
## 12 Изучение текстового редактора и добавление программы
```matlab
>> Prog1
D1 = 22
D2 =
18 22 26
D3 =
13 17 21
14 18 22
D4 =
19 20 21 22 23
D5 =
6 14 26
7 15 27
>> Prog1
D1 = 22
D2 =
18 22 26
D3 =
13 17 21
14 18 22
D4 =
19 20 21 22 23
D5 =
6 14 26
7 15 27
>>
```
## 13 Сохранение и загрузка области переменных
![Загрузка области данных](images/perem_function.png)