From a4b56e7dd4e05318267ef4b0663336a6d1a0c60d Mon Sep 17 00:00:00 2001 From: iyevlevmikd Date: Thu, 12 Feb 2026 08:02:30 +0300 Subject: [PATCH] TEMA1 --- ТЕМА1/assets/figure0.png | Bin 0 -> 48569 bytes ТЕМА1/assets/figure1.png | Bin 0 -> 121911 bytes ТЕМА1/assets/figure2.png | Bin 0 -> 287644 bytes ТЕМА1/assets/figure3.png | Bin 0 -> 252349 bytes ТЕМА1/assets/figure4.png | Bin 0 -> 205760 bytes ТЕМА1/assets/figure5.png | Bin 0 -> 252120 bytes ТЕМА1/report.md | 488 +++++++++++++++++++++++++++++++++++ ТЕМА1/task.md | 103 ++++++++ 8 files changed, 591 insertions(+) create mode 100644 ТЕМА1/assets/figure0.png create mode 100644 ТЕМА1/assets/figure1.png create mode 100644 ТЕМА1/assets/figure2.png create mode 100644 ТЕМА1/assets/figure3.png create mode 100644 ТЕМА1/assets/figure4.png create mode 100644 ТЕМА1/assets/figure5.png create mode 100644 ТЕМА1/report.md create mode 100644 ТЕМА1/task.md diff --git a/ТЕМА1/assets/figure0.png b/ТЕМА1/assets/figure0.png new file mode 100644 index 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z_^R5Wdxld$c;KAX)Mk%Mu<Eqx9op-X7d=8|`b~!yd600yXlCeC=@Gs3 zfnre5cld5HKg}B^GetoynT{%LhtU!!3d=0CaHt2>oHvwXI#|S3oF2}(LFiJ2 z)m92YAh4=WoIV9q4t9X+Hd}cD`pKcmtoKPas|3vmosv`Xi1Id?gcZLdUiEr!w7F{a zMfCZo7pDI0@gF|Tlj~c@h#nFmnfsUFnB{;n9b27@8Z&?0(sEQ|=VFMdPr13+gPioq zs=cs?s{%Tyyl~r)0 z%11-*x%SrjcMOT=%=&!Gy=y>m{8A!iou#}7x5k5pX~9o6rxP>Fz{=V^G!CXyXah)7 z#s2lSUD`873&`7u{UYv1_H6{tBa0lmEq6rekkuY$TFwqd{|qE&cZC%}4hw)+x^;ox z?Q2(Y)m;9SWj3joA92~taw_q$nB)yfcTE`yPWt#H1p_y#KJom{gh(vY7Ced}P-xn% z=zue~X%~?9=J2Mbt^;^$sHGPSJ3Sh@(O1Q{>}$szP$t!z1S5^Gox5FBJ!iv_JZ*#W zt4V`x2YC(aHbtHGHUhpXa@$YZ$w{}$(ziy}E)3lXokxhCPa*7y&aD^N`v*~lr8+Y< zfF@e1B;J=$Hd~JSs}OdF<+<=p;Uj}%D|=_el^5fN|Kv~Z@lSw=hrS%gpBr{%MPCej zt-#Bs;(OHc7-ElvWrx$;UZX}LYVSK5Z&o8^LLrZ%&b*&?qI`z6`?&s9=--Q8jk_({ zw5(A4g6Dh~E<6mzkh&W^Y-LS!gfdj?`>q`Tx4pI{lBe~=x zBUtilcel>ERl`Yel~QTTxZ_* z_Y)R-IU%RbJTR-)AH;w=21d${8`*CkY71*16I7fa?@d#G1LH5T0%q$<&}%iWCqbKi z7IE$}i4YAix-pkx&>1>^hug<|e#X1Ik1LR0b$eTFVbcp)zE*m@d zFn00lGh|-qv!FT|iKnK?DP_huvk7#2b~7_IG)Og> A=randn(4,6) +A = + + 1.597723 1.277021 0.015167 1.309341 0.185252 -0.361744 + 1.233637 -0.730546 1.060699 -0.369914 -1.960105 2.189985 + -1.675882 2.510296 0.708574 -2.152905 -2.884376 0.275914 + 0.612264 -0.483651 -0.154699 -0.382876 1.252928 -0.608606 +``` +```matlab +>> B=rand(4,7) +B = + + 2.4001e-01 6.3320e-01 2.5302e-03 7.1201e-01 4.4206e-01 3.6183e-01 4.6930e-01 + 1.8981e-01 7.5095e-01 5.5027e-01 4.2271e-01 2.1783e-01 2.9008e-01 7.3649e-01 + 2.5354e-01 5.1838e-01 9.7046e-01 2.9602e-02 9.6376e-01 2.5712e-01 1.8791e-01 + 7.2239e-01 6.2262e-02 2.4428e-01 8.9849e-01 5.2660e-01 8.8235e-01 4.9401e-03 +``` +```matlab +>> C=4:27 +C = + + Columns 1 through 18: + + 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 + + Columns 19 through 24: + + 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 +``` +![Скриншот о появлении строки с информацией о созданных матрицах и о введенных в командном окне команд](assets/figure1.png) +## 7 Преобразование матриц и векторов +```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 = + + 0.635016 0.454906 0.272876 -0.578397 -0.153802 -0.040823 + 1.107451 1.531177 1.163814 -0.588577 -2.771832 1.520649 + -0.793939 1.919235 1.233564 -2.383083 -3.571232 1.323263 + 2.159571 0.240189 0.341151 0.368150 0.343700 0.129514 + -0.317719 2.570023 0.839194 -1.778290 -2.465148 0.262563 + 1.045291 0.468839 0.358866 -0.524928 -0.137664 0.038324 + 1.346475 0.530598 0.920695 -0.064413 -1.892477 1.491971 +``` +```matlab +>> F=[A,B] +F = + + Columns 1 through 7: + + 1.5977e+00 1.2770e+00 1.5167e-02 1.3093e+00 1.8525e-01 -3.6174e-01 2.4001e-01 + 1.2336e+00 -7.3055e-01 1.0607e+00 -3.6991e-01 -1.9601e+00 2.1900e+00 1.8981e-01 + -1.6759e+00 2.5103e+00 7.0857e-01 -2.1529e+00 -2.8844e+00 2.7591e-01 2.5354e-01 + 6.1226e-01 -4.8365e-01 -1.5470e-01 -3.8288e-01 1.2529e+00 -6.0861e-01 7.2239e-01 + + Columns 8 through 13: + + 6.3320e-01 2.5302e-03 7.1201e-01 4.4206e-01 3.6183e-01 4.6930e-01 + 7.5095e-01 5.5027e-01 4.2271e-01 2.1783e-01 2.9008e-01 7.3649e-01 + 5.1838e-01 9.7046e-01 2.9602e-02 9.6376e-01 2.5712e-01 1.8791e-01 + 6.2262e-02 2.4428e-01 8.9849e-01 5.2660e-01 8.8235e-01 4.9401e-03 +``` +```matlab +>> G=A.*D +G = + + 6.3909 10.2162 0.1820 20.9495 3.7050 -8.6819 + 6.1682 -6.5749 13.7891 -6.2885 -41.1622 54.7496 + -10.0553 25.1030 9.9200 -38.7523 -63.4563 7.1738 + 4.2858 -5.3202 -2.3205 -7.2746 28.8173 -16.4324 +``` +```matlab +>> M=G./4.5 +M = + + 1.4202e+00 2.2703e+00 4.0445e-02 4.6554e+00 8.2334e-01 -1.9293e+00 + 1.3707e+00 -1.4611e+00 3.0642e+00 -1.3975e+00 -9.1472e+00 1.2167e+01 + -2.2345e+00 5.5784e+00 2.2045e+00 -8.6116e+00 -1.4101e+01 1.5942e+00 + 9.5241e-01 -1.1823e+00 -5.1566e-01 -1.6166e+00 6.4039e+00 -3.6516e+00 +``` +```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 Стандартные функции +```matlab +>> B1=sqrt(B) + +B1 = + + 0.489906 0.795737 0.050301 0.843805 0.664875 0.601523 0.685055 + 0.435677 0.866574 0.741802 0.650165 0.466727 0.538592 0.858188 + 0.503528 0.719986 0.985121 0.172052 0.981715 0.507068 0.433490 + 0.849934 0.249524 0.494248 0.947889 0.725674 0.939335 0.070286 + +>> B2=log(B) + +B2 = + + -1.427084 -0.456973 -5.979464 -0.339667 -0.816312 -1.016581 -0.756511 + -1.661706 -0.286416 -0.597345 -0.861059 -1.524022 -1.237592 -0.305863 + -1.372231 -0.657047 -0.029982 -3.519917 -0.036909 -1.358221 -1.671775 + -0.325194 -2.776401 -1.409436 -0.107037 -0.641308 -0.125166 -5.310368 + + +>> B3=sin(B) + +B3 = + + 2.3771e-01 5.9173e-01 2.5302e-03 6.5335e-01 4.2780e-01 3.5399e-01 4.5226e-01 + 1.8868e-01 6.8233e-01 5.2292e-01 4.1024e-01 2.1612e-01 2.8603e-01 6.7169e-01 + 2.5083e-01 4.9547e-01 8.2515e-01 2.9598e-02 8.2134e-01 2.5429e-01 1.8681e-01 + 6.6118e-01 6.2222e-02 2.4186e-01 7.8239e-01 5.0260e-01 7.7223e-01 4.9401e-03 +``` +```matlab +>> 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 10: + + 11.500 12.689 13.879 15.068 16.258 17.447 18.637 19.826 21.016 22.205 + + Columns 11 through 20: + + 23.395 24.584 25.774 26.963 28.153 29.342 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 = + + 0.4899 + 0.8666 + 0.9851 + 0.9479 + +>> DB=diag(B1D) + +DB = + +Diagonal Matrix + + 0.4899 0 0 0 + 0 0.8666 0 0 + 0 0 0.9851 0 + 0 0 0 0.9479 + +>> BS1=sort(B) + +BS1 = + + 1.8981e-01 6.2262e-02 2.5302e-03 2.9602e-02 2.1783e-01 2.5712e-01 4.9401e-03 + 2.4001e-01 5.1838e-01 2.4428e-01 4.2271e-01 4.4206e-01 2.9008e-01 1.8791e-01 + 2.5354e-01 6.3320e-01 5.5027e-01 7.1201e-01 5.2660e-01 3.6183e-01 4.6930e-01 + 7.2239e-01 7.5095e-01 9.7046e-01 8.9849e-01 9.6376e-01 8.8235e-01 7.3649e-01 + +>> BS2=sortrows(B,2) + +BS2 = + + 7.2239e-01 6.2262e-02 2.4428e-01 8.9849e-01 5.2660e-01 8.8235e-01 4.9401e-03 + 2.5354e-01 5.1838e-01 9.7046e-01 2.9602e-02 9.6376e-01 2.5712e-01 1.8791e-01 + 2.4001e-01 6.3320e-01 2.5302e-03 7.1201e-01 4.4206e-01 3.6183e-01 4.6930e-01 + 1.8981e-01 7.5095e-01 5.5027e-01 4.2271e-01 2.1783e-01 2.9008e-01 7.3649e-01 + +>> 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 = 1694.3 + +>> dinv=inv(A*A') + +dinv = + + 0.179791 0.010567 0.034995 0.058353 + 0.010567 0.110303 0.014284 0.136288 + 0.034995 0.014284 0.089572 0.185021 + 0.058353 0.136288 0.185021 0.857589 +``` + +## 9 Индексация элементов матриц +```matlab +>> D1=D(3,5) + +D1 = 22 + +>> D2=D(3,4:end) + +D2 = + + 18 22 26 + +>> D3=D(2:3,3:5) + +D3 = + + 13 17 21 + 14 18 22 + +>> D4=D(16:20) + +D4 = + + 19 20 21 22 23 + +>> D5=D(3:4,[1,3,6]) + +D5 = + + 6 14 26 + 7 15 27 +``` + +## 10 Конструкции для использования в программах на m-языке +```matlab +>> Dsum=0 + +for i=1:6 + +Dsum=Dsum+sqrt(D(2,i)) + +endfor + +Dsum = 0 +Dsum = 2.2361 +Dsum = 5.2361 +Dsum = 8.8416 +Dsum = 12.965 +Dsum = 17.547 +Dsum = 22.547 +``` +```matlab +>> Dsum2=0;i=1 + +while (D(i)<22) + +Dsum2=Dsum2+sin(D(i)) + +i=i+1 + +endwhile + +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 +``` +```matlab +>> if (D(3,5)>=20) + +printf('D(3,5)>=20') + +else + +printf('D(3,5)<20') + +endif + +D(3,5)>=20 +``` + +## 11 Использование графических функций +```matlab +>> plot(D(1,:),B([2,4],1:6)) +``` +![Вывод](assets/figure2.png) +```matlab +>> hist(A(:),6) +``` +![Вывод](assets/figure3.png) +```matlab +>> pie([1 3 0.5 2.5 2]) +``` +![Вывод](assets/figure4.png) +```matlab +>> bar([1 3 0.5 2.5 2]) +``` +![Вывод](assets/figure5.png) +## 12 Работа с текстовым редактором +### `Prog1.m` +```matlab +D1=D(3,5) + +D2=D(3,4:end) + +D3=D(2:3,3:5) + +D4=D(16:20) + +D5=D(3:4,[1,3,6]) +``` +### `CL` +```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 +``` + +## 12 Сохранение и использование области переменных +Сохранил область для папки TEMA1 с названием Perem, перезашел в данную папку и выбрал сохраненную область переменных Perem \ No newline at end of file diff --git a/ТЕМА1/task.md b/ТЕМА1/task.md new file mode 100644 index 0000000..46080b1 --- /dev/null +++ b/ТЕМА1/task.md @@ -0,0 +1,103 @@ +# Общее контрольное задание по теме 1 + +Иванов Иван, А-01-24 + +## Задание + + Создайте переменную ММ – матрицу 5х7 со случайными нормально распределенными элементами с математическим ожиданием 10 и стандарт-ным отклонением 8. + Рассчитайте среднее значение SR по всем элементам матрицы ММ. + Замените в ММ все значения, превышающие SR+8, на значение SR+8, а значения, меньшие, чем SR-8, - на SR-8. + Превратите ММ в вектор – столбец ММС. Упорядочьте его элементы по возрастанию. Определите значение медианы, в качестве которого возьми-те серединное по порядку индексов значение в упорядоченном векторе. + Рассчитайте матрицу ММ1 с элементами, равными натуральным лога-рифмам от значений соответствующих элементов из матрицы ММ. + + +## Решение + +```matlab +MM = 10 + 8 * rand(5,7) +SR = sum(MM(:))/numel(MM) +MM(MM > SR + 8) = SR + 8 +MM(MM < SR - 8) = SR - 8 +MMC = ceil(MM(:)) +med = MMC(ceil(length(MMC)/2)) +MM1 = log(MM) +``` + +## Вывод + +```matlab +>> OK3 + +MM = + + 15.252 14.361 12.420 12.720 12.384 15.314 16.398 + 14.626 13.954 11.937 13.347 11.339 13.196 17.637 + 11.241 11.665 10.927 10.832 11.921 16.341 10.270 + 11.763 17.306 12.627 10.929 10.148 17.268 10.911 + 12.740 11.451 13.988 15.081 11.427 15.529 17.129 + +SR = 13.325 +MM = + + 15.252 14.361 12.420 12.720 12.384 15.314 16.398 + 14.626 13.954 11.937 13.347 11.339 13.196 17.637 + 11.241 11.665 10.927 10.832 11.921 16.341 10.270 + 11.763 17.306 12.627 10.929 10.148 17.268 10.911 + 12.740 11.451 13.988 15.081 11.427 15.529 17.129 + +MM = + + 15.252 14.361 12.420 12.720 12.384 15.314 16.398 + 14.626 13.954 11.937 13.347 11.339 13.196 17.637 + 11.241 11.665 10.927 10.832 11.921 16.341 10.270 + 11.763 17.306 12.627 10.929 10.148 17.268 10.911 + 12.740 11.451 13.988 15.081 11.427 15.529 17.129 + +MMC = + + 16 + 15 + 12 + 12 + 13 + 15 + 14 + 12 + 18 + 12 + 13 + 12 + 11 + 13 + 14 + 13 + 14 + 11 + 11 + 16 + 13 + 12 + 12 + 11 + 12 + 16 + 14 + 17 + 18 + 16 + 17 + 18 + 11 + 11 + 18 + +med = 11 +MM1 = + + 2.7247 2.6645 2.5193 2.5432 2.5164 2.7288 2.7972 + 2.6828 2.6357 2.4797 2.5913 2.4282 2.5799 2.8700 + 2.4196 2.4566 2.3912 2.3825 2.4783 2.7937 2.3292 + 2.4650 2.8510 2.5359 2.3914 2.3172 2.8488 2.3898 + 2.5447 2.4381 2.6382 2.7134 2.4360 2.7427 2.8408 + +``` \ No newline at end of file