it-labs/ТЕМА1/report.md

Отчет по теме 1

Комаров Егор, А-03-24

1 Изучение среды GNU Octave

GUI GNU Octave запущен, произведено общее ознакомление с интерфейсом программы.

2 Настройка текущего каталога

С помощью Set path... установил путь к папке ТЕМА1:

3 Настройка рабочего пространства

Во вкладке Window активируем показ командного окна, журнала выполненных команд, диспетчера файлов, области переменных и редактора. После этого в интерфейсе среды появляются соответствующие окна.

4 Устанавливаем путь к рабочим репозиториям

С помощью Set path... установливаем путь к папкам ТЕМА1 и ТЕМА2. Включаем отображение списка файлов в текущей папке.

5 Изучаем работу с системой помощи

Просматриваем документацию по программе (GNU Octave Manual).

Просматриваем список встроенных функций Function Index.

Используем команду help для получения информации по функции randn.

help randn
'randn' is a built-in function from the file libinterp/corefcn/rand.cc

 -- X = randn (N)
 -- X = randn (M, N, ...)
 -- X = randn ([M N ...])
 -- X = randn (..., "single")
 -- X = randn (..., "double")
 -- V = randn ("state")
 -- randn ("state", V)
 -- randn ("state", "reset")
 -- V = randn ("seed")
 -- randn ("seed", V)
 -- randn ("seed", "reset")
     Return a matrix with normally distributed random elements having
     zero mean and variance one.

     The arguments are handled the same as the arguments for ‘rand’.

     By default, ‘randn’ uses the Marsaglia and Tsang "Ziggurat
     technique" to transform from a uniform to a normal distribution.

     The class of the value returned can be controlled by a trailing
     "double" or "single" argument.  These are the only valid classes.

     Reference: G. Marsaglia and W.W. Tsang, ‘Ziggurat Method for
     Generating Random Variables’, J. Statistical Software, vol 5, 2000,
     <https://www.jstatsoft.org/v05/i08/>

     See also: rand, rande, randg, randp.

Additional help for built-in functions and operators is
available in the online version of the manual.  Use the command
'doc <topic>' to search the manual index.

Help and information about Octave is also available on the WWW
at https://www.octave.org and https://octave.discourse.group/c/help/

6 Изучаем способы задания матриц и векторов

>> A=randn(4,6)
    A =

    -0.487249   1.500163  -0.058514   0.447870  -0.831425   0.230160
    0.042227   0.690096  -0.052365   1.305950  -0.379213  -0.269474
    0.654921   0.941014   0.093497   0.561096   0.212812  -0.410104
    -0.148194  -0.678435  -1.008628   1.425202   0.760093  -2.166047

>> B=rand(4,7)
B =

   0.345536   0.704204   0.316431   0.818448   0.340374   0.749643   0.774945
   0.126996   0.730145   0.664247   0.153328   0.237525   0.663924   0.288564
   0.019296   0.989218   0.222881   0.216879   0.223590   0.603890   0.498865
   0.719244   0.753689   0.380854   0.641714   0.662913   0.353391   0.594957

>>C=4:27
C =

 Columns 1 through 19:

    4    5    6    7    8    9   10   11   12   13   14   15   16   17   18   19   20   21   22

 Columns 20 through 24:

   23   24   25   26   27

>> H='This is a symbols vector'
H = This is a symbols vector

>> L=[-2+23.1j, 3-5.6j]
L =

   -2.0000 + 23.1000i    3.0000 -  5.6000i

NOMER 7

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

E=B'*A E =

0.488550 0.011549 1.000897 2.699564 -0.504726 1.819611 -0.151361 0.254209 0.624697 1.512441 0.183915 0.725667 0.072425 0.313477 1.110223 2.959277 0.309335 1.753866 0.333663 0.135882 1.735861 4.354475 -0.273429 1.707147 0.038203 0.340325 1.835803 4.116933 -1.331504 2.154751 -0.258805 0.328323 0.793725 1.274550 -1.792678 1.396500 -0.015348 0.371355 1.553848 3.350191 -1.666793 2.328455

F=[A,B] F =

Columns 1 through 8:

1.148943 -0.660449 0.505361 2.144800 0.874353 -0.061676 0.831759 0.168296 0.073393 -0.083308 1.300502 1.839412 -3.915271 0.771531 0.413143 0.094149 -0.439376 0.422486 0.877189 2.021633 0.628780 0.429597 0.288750 0.547413 -0.485810 0.620539 -0.275356 -0.561242 0.267499 1.872348 0.762738 0.228719

Columns 9 through 13:

0.632518 0.858376 0.634046 0.031583 0.540918 0.232844 0.454478 0.678126 0.535694 0.709084 0.770984 0.976534 0.934923 0.240303 0.664854 0.684711 0.528709 0.677770 0.471018 0.816684

G=A.*D G =

4.5958   -5.2836    6.0643   34.3168   17.4871   -1.4802
0.3670   -0.7498   16.9065   31.2700  -82.2207   19.2883

-2.6363 4.2249 12.2806 36.3894 13.8332 11.1695 -3.4007 6.8259 -4.1303 -10.6636 6.1525 50.5534

M=G./4.5 M =

1.0213e+00 -1.1741e+00 1.3476e+00 7.6260e+00 3.8860e+00 -3.2894e-01 8.1547e-02 -1.6662e-01 3.7570e+00 6.9489e+00 -1.8271e+01 4.2863e+00 -5.8583e-01 9.3886e-01 2.7290e+00 8.0865e+00 3.0740e+00 2.4821e+00 -7.5570e-01 1.5169e+00 -9.1785e-01 -2.3697e+00 1.3672e+00 1.1234e+01

M=G./4.5 M =

1.0213e+00 -1.1741e+00 1.3476e+00 7.6260e+00 3.8860e+00 -3.2894e-01 8.1547e-02 -1.6662e-01 3.7570e+00 6.9489e+00 -1.8271e+01 4.2863e+00 -5.8583e-01 9.3886e-01 2.7290e+00 8.0865e+00 3.0740e+00 2.4821e+00 -7.5570e-01 1.5169e+00 -9.1785e-01 -2.3697e+00 1.3672e+00 1.1234e+01

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

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

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

NOMER 8

B1=sqrt(B) B1 =

Columns 1 through 5:

0.9120 0.4102 0.7953 0.9265 0.7963 0.6428 0.3068 0.4825 0.6742 0.8235 0.5374 0.7399 0.8781 0.9882 0.9669 0.8733 0.4782 0.8275 0.7271 0.8233

Columns 6 and 7:

0.1777 0.7355 0.7319 0.8421 0.4902 0.8154 0.6863 0.9037

B2=log(B) B2 =

Columns 1 through 4:

-0.184212 -1.782031 -0.458047 -0.152714 -0.883960 -2.362875 -1.457387 -0.788605 -1.242194 -0.602552 -0.260088 -0.023746 -0.270841 -1.475262 -0.378758 -0.637316

Columns 5 through 7:

-0.455633 -3.455126 -0.614488 -0.388422 -0.624192 -0.343782 -0.067292 -1.425857 -0.408188 -0.388948 -0.752859 -0.202503

B3=sin(B) B3 =

Columns 1 through 4:

0.739117 0.167503 0.591177 0.756782 0.401490 0.094010 0.230746 0.438994 0.284754 0.520480 0.696841 0.828562 0.690903 0.226730 0.632450 0.504419

Columns 5 through 7:

0.592410 0.031578 0.514923 0.627335 0.510438 0.651139 0.804553 0.237996 0.616944 0.627057 0.453794 0.728880

---

k=length(B1) k = 7 nm=size(B1) nm =

4 7

elem=numel(B1) elem = 28 NN=linspace(11.5,34.1,20) NN =

Columns 1 through 8:

11.500 12.689 13.879 15.068 16.258 17.447 18.637 19.826

Columns 9 through 16:

21.016 22.205 23.395 24.584 25.774 26.963 28.153 29.342

Columns 17 through 20:

30.532 31.721 32.911 34.100

FF=ones(2,4) FF =

1 1 1 1 1 1 1 1

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

B1D=diag(B1) B1D =

0.9120 0.3068 0.8781 0.7271

DB=diag(B1D) DB =

Diagonal Matrix

0.9120 0 0 0 0 0.3068 0 0 0 0 0.8781 0 0 0 0 0.7271

BS1=sort(B) BS1 =

0.288750 0.094149 0.232844 0.454478 0.634046 0.031583 0.540918 0.413143 0.168296 0.632518 0.528709 0.677770 0.240303 0.664854 0.762738 0.228719 0.684711 0.858376 0.678126 0.471018 0.709084 0.831759 0.547413 0.770984 0.976534 0.934923 0.535694 0.816684

BS2=sortrows(B,2) BS2 =

0.413143 0.094149 0.232844 0.454478 0.678126 0.535694 0.709084 0.831759 0.168296 0.632518 0.858376 0.634046 0.031583 0.540918 0.762738 0.228719 0.684711 0.528709 0.677770 0.471018 0.816684 0.288750 0.547413 0.770984 0.976534 0.934923 0.240303 0.664854

DS1=sum(D) DS1 =

22    38    54    70    86   102

DS2=sum(D,2) DS2 =

84
90
96

102

DP1=prod(D) DP1 =

  840     7920    32760    93024   212520   421200

dt=det(AA') dt = 1388.8 dinv=inv(AA') dinv =

0.374568 0.025819 -0.305610 0.189828 0.025819 0.053005 -0.044695 0.025517 -0.305610 -0.044695 0.432459 -0.163317 0.189828 0.025517 -0.163317 0.317169

NOMER 9

Dsum=0 for i=1:6 Dsum=Dsum+sqrt(D(2,i)) endfor Dsum2=0;i=1 while (D(i)<22) Dsum2=Dsum2+sin(D(i)) i=i+1 endwhile if (D(3,5)>=20) printf('D(3,5)>=20') else printf('D(3,5)<20') endif

Dsum = 0 Dsum = 2.2361 Dsum = 5.2361 Dsum = 8.8416 Dsum = 12.965 Dsum = 17.547 Dsum = 22.547 i = 1 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 D(3,5)>=20

NOMER10

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

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