# Отчет по теме 1 Комаров Егор, А-03-24 ## 1 Изучение среды GNU Octave GUI GNU Octave запущен, произведено общее ознакомление с интерфейсом программы. ![Изображение](http://uit.mpei.ru/git/KomarovYegA/it-labs/src/branch/main/%D0%A2%D0%95%D0%9C%D0%901/assets/%D0%A1%D0%BD%D0%B8%D0%BC%D0%BE%D0%BA%20%D1%8D%D0%BA%D1%80%D0%B0%D0%BD%D0%B0%202026-02-11%20104541.png) ## 2 Настройка текущего каталога Нажал на окно рядом с *Текущая папка:* и установил путь к папке ТЕМА1: ![Скриншот выбора текущей папки](figure0.png) 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, 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 ' 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 Создание матриц и векторов ```matlab >> 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 ``` 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(A*A') dt = 1388.8 >> dinv=inv(A*A') 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