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zz>S*|S6Xkj#nwrnn_iZ?-Ki!Ej^*)3Df3M{Z>h^F9J~vBw%w^Ow$gY!TKcSr_DcoP zd!?j{F6A>PbI428-XNPFF;$YK?_>u&x9Z4vjL>F!)ZOrsph68dxx-Jd%g@1?c)AYA Z@@~3$l;s9>gN226M^;HD`<9;f{{jYHxi0_! literal 0 HcmV?d00001 diff --git a/ТЕМА1/report.md b/ТЕМА1/report.md index 1a28927..bd28e78 100644 --- a/ТЕМА1/report.md +++ b/ТЕМА1/report.md @@ -8,4 +8,521 @@ Нажал на окно рядом с *Текущая папка:* и установил путь к папке ТЕМА1: -!(figure0.png) \ No newline at end of file +![Скриншот выбора текущей папки](assets/figure0.png) + +## 3 Настройка отображения + +Нажал в главном меню предложение *Окно* и отметил соответсвующие закладки галочками: + +![Скриншот закладок](assets/figure1.png) + +## 4 Настройка пути + +Установил путь к папкам ТЕМА1 и ТЕМА2. отобразил список файлов размещенных в текущей папке: + +![Скриншот выбора папок и пути](assets/figure2.png) + +## 5 Изучение работы системы помощи + +3 способа взаимодействия с системой помощи: + +В главном меню выберите предложения «Справка» + « Документация» + « На диске» + +Ввод в командную строк help randn + +В главном меню выберите предложения «Справка» + «Пакеты Octave» + +## 6 Создание матриц и векторов + +Сделали матрицу А с нормально распределенными числами (4x6) + +```matlab +>> A=randn(4,6) + A = + + -0.456910 -0.555566 0.803093 1.569653 1.325472 0.133544 + -0.131904 0.021183 -0.091582 -0.414840 -0.421469 0.738983 + 1.719014 1.723503 -0.504743 0.441674 1.797601 0.923687 + 0.098965 -0.027680 -0.561811 1.605313 0.690128 -0.632586 +``` + +Сделали матрицу B с равномерно распределенными числами (4x7) с диапозоном от 0 до 1 + +```matlab +>> B=rand(4,7) + B = + + 0.192067 0.555502 0.968665 0.070620 0.934708 0.829136 0.549038 + 0.203313 0.102147 0.412080 0.391154 0.428950 0.947358 0.237762 + 0.228346 0.378330 0.344054 0.906633 0.035163 0.529538 0.953942 + 0.629267 0.367450 0.452845 0.043022 0.242846 0.928494 0.528300 +``` + +Сделали вектор С с целыми числами от 4 до 27 + +```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 +``` + +Сделали символьный вектор H + +```matlab +>> H='This is a symbols vector' + H = This is a symbols vector +``` + +Сделали вектор-строку L с 2 комплексными элементами + +```matlab +>> L=[-2+23.1j, 3-5.6j] + L = + + -2.0000 + 23.1000i 3.0000 - 5.6000i + +``` + +## 7 Операции с матрицами и векторами + +преобразовали матрицу С в матрицу с 6 столбцами (D) + +```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 + +``` + +Перемножили матрицу B и матрицу A с транспонированием матрицы В (Создали новую матрицу E) + +```matlab +>> E=B'*A + E = + + 0.340231 0.273738 -0.333158 1.328161 1.013639 -0.011252 + 0.419431 0.335428 0.039368 1.586541 1.626924 0.266684 + 0.139301 0.051015 0.312117 2.228439 2.041252 0.465214 + 1.478911 1.530446 -0.460895 0.418082 1.588201 1.108717 + -0.399179 -0.456324 0.557192 1.694596 1.288944 0.320670 + 0.498371 0.446388 -0.209806 2.632862 2.292394 0.712582 + 1.409900 1.329509 -0.359147 2.032585 2.706928 0.795971 + +``` + +Создали матрицу путем «горизонтального» соединения матриц А и В (Создали матрицу F) + +```matlab +>> F=[A,B] + F = + + Columns 1 through 12: + + -0.456910 -0.555566 0.803093 1.569653 1.325472 0.133544 0.192067 0.555502 0.968665 0.070620 0.934708 0.829136 + -0.131904 0.021183 -0.091582 -0.414840 -0.421469 0.738983 0.203313 0.102147 0.412080 0.391154 0.428950 0.947358 + 1.719014 1.723503 -0.504743 0.441674 1.797601 0.923687 0.228346 0.378330 0.344054 0.906633 0.035163 0.529538 + 0.098965 -0.027680 -0.561811 1.605313 0.690128 -0.632586 0.629267 0.367450 0.452845 0.043022 0.242846 0.928494 + + Column 13: + + 0.549038 + 0.237762 + 0.953942 + 0.528300 + +``` + +Поэлементно перемножили матрицы A и D (Создали матрицу G) + +```matlab +￿￿￿￿￿￿￿￿￿￿￿￿>> G=A.*D + G = + + -1.8276 -4.4445 9.6371 25.1145 26.5094 3.2051 + -0.6595 0.1906 -1.1906 -7.0523 -8.8509 18.4746 + 10.3141 17.2350 -7.0664 7.9501 39.5472 24.0159 + 0.6928 -0.3045 -8.4272 30.5010 15.8729 -17.0798 +``` + +Поэлементно поделили элементы матрицы G на 4.5 (Создали матрицу М) + +```matlab +>> M=G./4.5 + M = + + -0.406143 -0.987673 2.141582 5.580990 5.890988 0.712235 + -0.146560 0.042365 -0.264571 -1.567174 -1.966856 4.105459 + 2.292018 3.830007 -1.570313 1.766696 8.788273 5.336857 + 0.153945 -0.067662 -1.872702 6.777990 3.527320 -3.795516 + +``` + +Поэлементно возвели в степень элементы матрицы D (Создали матрицу DDD) + +```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 + + +``` + +Создали логическую матрицу, совпадающую по размерам с матрицей D и с элементами которые меньше или равны 20 (Создали матрицу DL) + +```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 + +``` + +Превратили матрицу D в вектор-столбец + +```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 функций + +Математические функции (корень, натуральный логарифм, синус матрицы B) + +```matlab +>> B1=sqrt(B) +B1 = + + 0.4383 0.7453 0.9842 0.2657 0.9668 0.9106 0.7410 + 0.4509 0.3196 0.6419 0.6254 0.6549 0.9733 0.4876 + 0.4779 0.6151 0.5866 0.9522 0.1875 0.7277 0.9767 + 0.7933 0.6062 0.6729 0.2074 0.4928 0.9636 0.7268 + +>> B2=log(B) +B2 = + + -1.649914 -0.587884 -0.031837 -2.650442 -0.067521 -0.187371 -0.599588 + -1.593011 -2.281345 -0.886537 -0.938654 -0.846414 -0.054078 -1.436486 + -1.476893 -0.971988 -1.066957 -0.098017 -3.347759 -0.635749 -0.047152 + -0.463199 -1.001169 -0.792205 -3.146051 -1.415328 -0.074191 -0.638091 + +>> B3=sin(B) +B3 = + + 0.190888 0.527370 0.824130 0.070561 0.804426 0.737348 0.521867 + 0.201915 0.101969 0.400516 0.381255 0.415917 0.811876 0.235528 + 0.226367 0.369369 0.337306 0.787433 0.035156 0.505135 0.815702 + 0.588552 0.359236 0.437526 0.043008 0.240466 0.800719 0.504066 +``` + +Операции с матрицами + +-длина матрицы(кол-во столбцов) + +```matlab +>> k=length(B1) +k = 7 + +``` + +-размер матрицы (строкиXстолбцы) + +```matlab +>> nm=size(B1) +nm = + + 4 7 + +``` + +-количество элементов матрицы + +```matlab +>> elem=numel(B1) +elem = 28 + +``` + + +```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 = + + 0.4383 + 0.3196 + 0.5866 + 0.2074 + +``` + +```matlab +>> DB=diag(B1D) +DB = + +Diagonal Matrix + + 0.4383 0 0 0 + 0 0.3196 0 0 + 0 0 0.5866 0 + 0 0 0 0.2074 + +``` + +```matlab +>> BS1=sort(B) +BS1 = + + 0.192067 0.102147 0.344054 0.043022 0.035163 0.529538 0.237762 + 0.203313 0.367450 0.412080 0.070620 0.242846 0.829136 0.528300 + 0.228346 0.378330 0.452845 0.391154 0.428950 0.928494 0.549038 + 0.629267 0.555502 0.968665 0.906633 0.934708 0.947358 0.953942 + +``` + +```matlab +>> BS2 = sortrows(B,2) +BS2 = + + 0.203313 0.102147 0.412080 0.391154 0.428950 0.947358 0.237762 + 0.629267 0.367450 0.452845 0.043022 0.242846 0.928494 0.528300 + 0.228346 0.378330 0.344054 0.906633 0.035163 0.529538 0.953942 + 0.192067 0.555502 0.968665 0.070620 0.934708 0.829136 0.549038 + +``` + +```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 = 47.415 + +``` + +```matlab +>> dinv=inv(A*A') +dinv = + + 3.1251e-01 5.8486e-02 8.0228e-03 -2.1952e-01 + 5.8486e-02 2.4673e+00 -6.1622e-02 8.8955e-01 + 8.0228e-03 -6.1622e-02 1.0567e-01 -7.8216e-02 + -2.1952e-01 8.8955e-01 -7.8216e-02 7.9417e-01 + +``` +## 9 Изучили работу с индексацией элементов матриц. + +```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 некоторых управляющих конструкций + +Цикл по перечислению + +```matlab +>> Dsum=0 +Dsum = 0 +>> 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 + +``` +Цикл пока выполняется условие + +```matlab +>> Dsum2=0;i=1 +i = 1 +>> 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 + +``` + +Условие if + +```matlab +>> if (D(3,5)>=20) +printf('D(3,5)>=20') +else +printf('D(3,5)<20') +endif +D(3,5)>=20>> + +``` \ No newline at end of file