{"id":5973,"date":"2025-06-24T14:35:20","date_gmt":"2025-06-24T11:05:20","guid":{"rendered":"https:\/\/projestaan.com\/mag\/?p=5973"},"modified":"2025-07-07T17:40:47","modified_gmt":"2025-07-07T14:10:47","slug":"applications-of-matlab-software","status":"publish","type":"post","link":"https:\/\/projestaan.com\/mag\/applications-of-matlab-software\/","title":{"rendered":"\u06a9\u0627\u0631\u0628\u0631\u062f \u0647\u0627\u06cc \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0645\u062a\u0644\u0628 | \u0628\u0631\u0631\u0633\u06cc \u063a\u0648\u0644 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u062f\u0646\u06cc\u0627 !"},"content":{"rendered":"\t\t
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\u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0645\u062a\u0644\u0628 \u06cc\u0627 Matlab \u06a9\u0647 \u0627\u062e\u062a\u0635\u0627\u0631 \u0639\u0628\u0627\u0631\u062a Matrix Laboratory \u0645\u06cc\u200c\u0628\u0627\u0634\u062f\u060c \u06cc\u06a9 \u0645\u062d\u06cc\u0637 \u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0646\u0648\u06cc\u0633\u06cc \u0648 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0642\u062f\u0631\u062a\u0645\u0646\u062f \u0627\u0633\u062a \u06a9\u0647 \u0628\u0631\u0627\u06cc \u062a\u062d\u0644\u06cc\u0644 \u062f\u0627\u062f\u0647\u200c\u0647\u0627\u060c \u062a\u0648\u0633\u0639\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627 \u0648 \u0633\u0627\u062e\u062a \u0645\u062f\u0644\u200c\u0647\u0627 \u0648 \u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0647\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u06cc\u0646 \u0646\u0631\u0645\u200c\u0627\u0641\u0632\u0627\u0631 \u0628\u0647\u200c\u062e\u0635\u0648\u0635 \u062f\u0631 \u0632\u0645\u06cc\u0646\u0647\u200c\u0647\u0627\u06cc \u0645\u0647\u0646\u062f\u0633\u06cc\u060c \u0639\u0644\u0648\u0645 \u067e\u0627\u06cc\u0647\u060c \u0648 \u0635\u0646\u0627\u06cc\u0639 \u0645\u062e\u062a\u0644\u0641 \u06a9\u0627\u0631\u0628\u0631\u062f \u062f\u0627\u0631\u062f. \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0645\u062a\u0644\u0628 \u0639\u0628\u0627\u0631\u062a\u0646\u062f \u0627\u0632 \u062a\u062d\u0644\u06cc\u0644 \u062f\u0627\u062f\u0647\u200c\u0647\u0627\u060c \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc \u0633\u06cc\u0633\u062a\u0645\u200c\u0647\u0627\u060c \u067e\u0631\u062f\u0627\u0632\u0634 \u0633\u06cc\u06af\u0646\u0627\u0644\u060c \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u0648 \u0639\u062f\u062f\u06cc\u060c \u0645\u0627\u0634\u06cc\u0646\u200c\u0647\u0627\u06cc \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0628\u06a9\u0627\u0631 \u0645\u06cc \u0631\u0648\u062f.<\/span><\/p>

\u0645\u062a\u0644\u0628 \u06cc\u06a9 \u0632\u0628\u0627\u0646 \u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0646\u0648\u06cc\u0633\u06cc \u0648 \u0645\u062d\u06cc\u0637 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0639\u062f\u062f\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0628\u0647 \u0637\u0648\u0631 \u062e\u0627\u0635 \u0628\u0631\u0627\u06cc \u067e\u0631\u062f\u0627\u0632\u0634 \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627 \u0648 \u062a\u062c\u0632\u06cc\u0647\u200c\u0648\u062a\u062d\u0644\u06cc\u0644 \u062f\u0627\u062f\u0647\u200c\u0647\u0627 \u0637\u0631\u0627\u062d\u06cc \u0634\u062f\u0647 \u0627\u0633\u062a. \u0627\u0632 \u0622\u0646\u062c\u0627 \u06a9\u0647 \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0645\u0633\u0627\u06cc\u0644 \u0639\u0644\u0645\u06cc \u0648 \u0645\u0647\u0646\u062f\u0633\u06cc \u0628\u0647 \u0634\u06a9\u0644 \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627 \u0642\u0627\u0628\u0644 \u062d\u0644 \u0647\u0633\u062a\u0646\u062f\u060c \u0645\u062a\u0644\u0628 \u0628\u0647 \u06cc\u06a9 \u0627\u0628\u0632\u0627\u0631 \u0642\u062f\u0631\u062a\u0645\u0646\u062f \u062f\u0631 \u062a\u062d\u0642\u06cc\u0642\u0627\u062a \u0648 \u0635\u0646\u0627\u06cc\u0639 \u0645\u062e\u062a\u0644\u0641 \u062a\u0628\u062f\u06cc\u0644 \u0634\u062f\u0647 \u0627\u0633\u062a \u0648 \u0634\u0627\u0645\u0644 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647\u200c\u0647\u0627\u06cc \u06af\u0633\u062a\u0631\u062f\u0647\u200c\u0627\u06cc \u0628\u0631\u0627\u06cc \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a\u060c \u062a\u062d\u0644\u06cc\u0644 \u062f\u0627\u062f\u0647\u060c \u067e\u0631\u062f\u0627\u0632\u0634 \u0633\u06cc\u06af\u0646\u0627\u0644\u060c \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646 \u0648 \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc \u0633\u06cc\u0633\u062a\u0645\u200c\u0647\u0627\u06cc \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc \u0627\u0633\u062a.<\/span><\/p>

\u06cc\u06a9\u06cc \u0627\u0632 \u0627\u0635\u0644\u06cc\u200c\u062a\u0631\u06cc\u0646 \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc \u0645\u062a\u0644\u0628\u060c \u062a\u062d\u0644\u06cc\u0644 \u062f\u0627\u062f\u0647\u200c\u0647\u0627 \u0627\u0633\u062a. \u0645\u062a\u0644\u0628 \u0627\u0628\u0632\u0627\u0631\u0647\u0627\u06cc \u0645\u062a\u0646\u0648\u0639\u06cc \u0628\u0631\u0627\u06cc \u0648\u0627\u0631\u062f \u06a9\u0631\u062f\u0646\u060c \u067e\u0631\u062f\u0627\u0632\u0634 \u060c \u062a\u062c\u0632\u06cc\u0647 \u200c\u0648 \u062a\u062d\u0644\u06cc\u0644 \u062f\u0627\u062f\u0647\u200c\u0647\u0627 \u0641\u0631\u0627\u0647\u0645 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u062f\u0631 \u062a\u062d\u0644\u06cc\u0644 \u062f\u0627\u062f\u0647\u200c\u0647\u0627\u060c \u0645\u0631\u062d\u0644\u0647 \u0627\u0648\u0644 \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0628\u0627\u0631\u06af\u0630\u0627\u0631\u06cc \u062f\u0627\u062f\u0647\u200c\u0647\u0627 \u0648 \u067e\u06cc\u0634\u200c\u067e\u0631\u062f\u0627\u0632\u0634 \u0622\u0646\u200c\u0647\u0627 \u0628\u0631\u0627\u06cc \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u0645\u0641\u06cc\u062f \u0627\u0633\u062a.<\/span><\/p>

\u062f\u0631\u0635\u0648\u0631\u062a\u06cc \u06a9\u0647 \u067e\u0631\u0648\u0698\u0647 \u0645\u062a\u0644\u0628 \u0628\u0631\u0627\u06cc \u062a\u062d\u0644\u06cc\u0644 \u062f\u0627\u062f\u0647 \u0647\u0627 \u062f\u0627\u0631\u06cc\u062f\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0628\u0627 \u0645\u0631\u0627\u062c\u0639\u0647 \u0628\u0647 \u0635\u0641\u062d\u0647<\/span> \u0627\u0646\u062c\u0627\u0645 \u067e\u0631\u0648\u0632\u0647 \u0647\u0627\u06cc \u0645\u062a\u0644\u0628<\/a>\u060c \u067e\u0631\u0648\u0698\u0647 \u062e\u0648\u062f \u0631\u0627 \u062b\u0628\u062a \u06a9\u0646\u06cc\u062f.<\/span><\/p>

\u0645\u062a\u0644\u0628 \u0642\u0627\u0628\u0644\u06cc\u062a \u0628\u0627\u0631\u06af\u0630\u0627\u0631\u06cc \u062f\u0627\u062f\u0647\u200c\u0647\u0627 \u0627\u0632 \u0641\u0631\u0645\u062a\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0645\u0627\u0646\u0646\u062f TXT\u060c CSV\u060c \u0648 Excel \u0631\u0627 \u062f\u0627\u0631\u062f. \u0645\u062a\u0644\u0628 \u0627\u0628\u0632\u0627\u0631\u0647\u0627\u06cc \u0622\u0645\u0627\u0631\u06cc \u0645\u062a\u0639\u062f\u062f\u06cc \u0628\u0631\u0627\u06cc \u062a\u062c\u0632\u06cc\u0647\u200c\u0648\u062a\u062d\u0644\u06cc\u0644 \u062f\u0627\u062f\u0647\u200c\u0647\u0627 \u0641\u0631\u0627\u0647\u0645 \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u06a9\u0647 \u0634\u0627\u0645\u0644 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646\u060c \u0648\u0627\u0631\u06cc\u0627\u0646\u0633\u060c \u0648 \u0646\u0645\u0648\u062f\u0627\u0631\u0647\u0627\u06cc \u062a\u0648\u0632\u06cc\u0639 \u0627\u0633\u062a. \u0647\u0645\u0686\u0646\u06cc\u0646\u060c \u0645\u062a\u0644\u0628 \u0628\u0647 \u062f\u0644\u06cc\u0644 \u062a\u0648\u0627\u0646\u0627\u06cc\u06cc\u200c\u0647\u0627\u06cc \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc \u062e\u0648\u062f\u060c \u0628\u0647\u200c\u0648\u06cc\u0698\u0647 \u062f\u0631 \u0633\u06cc\u0633\u062a\u0645\u200c\u0647\u0627\u06cc \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc\u060c \u0645\u0648\u0631\u062f \u062a\u0648\u062c\u0647 \u0627\u0633\u062a.<\/span><\/p>

\u0627\u06cc\u0646 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0627\u0628\u0632\u0627\u0631\u0647\u0627\u06cc \u0642\u062f\u0631\u062a\u0645\u0646\u062f\u06cc \u0628\u0631\u0627\u06cc \u067e\u0631\u062f\u0627\u0632\u0634 \u0633\u06cc\u06af\u0646\u0627\u0644 \u0641\u0631\u0627\u0647\u0645 \u0645\u06cc\u200c\u06a9\u0646\u062f \u06a9\u0647 \u062f\u0631 \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u060c \u0627\u0632 \u062c\u0645\u0644\u0647 \u0627\u0631\u062a\u0628\u0627\u0637\u0627\u062a\u060c \u067e\u0632\u0634\u06a9\u06cc\u060c \u0648 \u062a\u062d\u0644\u06cc\u0644 \u0633\u06cc\u06af\u0646\u0627\u0644\u200c\u0647\u0627\u060c \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0645\u062a\u0644\u0628 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u0648 \u0639\u062f\u062f\u06cc \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0642\u0631\u0627\u0631 \u06af\u06cc\u0631\u062f. \u0645\u062a\u0644\u0628 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0628\u0647\u200c\u0639\u0646\u0648\u0627\u0646 \u0627\u0628\u0632\u0627\u0631\u06cc \u0628\u0631\u0627\u06cc \u062a\u0648\u0633\u0639\u0647 \u0648 \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646 \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f.<\/span><\/p>

\u0645\u062b\u0627\u06441: \u062a\u062d\u0644\u06cc\u0644 \u062f\u0627\u062f\u0647\u200c\u0647\u0627<\/span><\/h2>

clc; clear; close all<\/span>
% \u0628\u0627\u0631\u06af\u0630\u0627\u0631\u06cc \u062f\u0627\u062f\u0647\u200c\u0647\u0627<\/span>
data = load(‘datafile.txt’); % \u0628\u0627\u0631\u06af\u0630\u0627\u0631\u06cc \u062f\u0627\u062f\u0647\u200c\u0647\u0627 \u0627\u0632 \u06cc\u06a9 \u0641\u0627\u06cc\u0644 \u0645\u062a\u0646\u06cc<\/span>
time = data(:, 1); % \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0632\u0645\u0627\u0646 \u0627\u0632 \u0633\u062a\u0648\u0646 \u0627\u0648\u0644<\/span>
values = data(:, 2); % \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0645\u0642\u0627\u062f\u06cc\u0631 \u0627\u0632 \u0633\u062a\u0648\u0646 \u062f\u0648\u0645<\/span>
% \u062a\u0631\u0633\u06cc\u0645 \u062f\u0627\u062f\u0647\u200c\u0647\u0627<\/span>
figure; % \u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u067e\u0646\u062c\u0631\u0647 \u062c\u062f\u06cc\u062f \u0628\u0631\u0627\u06cc \u062a\u0631\u0633\u06cc\u0645<\/span>
plot(time, values); % \u062a\u0631\u0633\u06cc\u0645 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u0631 \u062d\u0633\u0628 \u0632\u0645\u0627\u0646<\/span>
xlabel(‘Time (s)’); % \u0628\u0631\u0686\u0633\u0628 \u0645\u062d\u0648\u0631 x<\/span>
ylabel(‘Values’); % \u0628\u0631\u0686\u0633\u0628 \u0645\u062d\u0648\u0631 y<\/span>
title(‘Data Analysis’); % \u0639\u0646\u0648\u0627\u0646 \u0646\u0645\u0648\u062f\u0627\u0631<\/span>
grid on; % \u0646\u0645\u0627\u06cc\u0634 \u0634\u0628\u06a9\u0647 \u0631\u0648\u06cc \u0646\u0645\u0648\u062f\u0627\u0631<\/span><\/p>

\u062e\u0631\u0648\u062c\u06cc:<\/span><\/h3>
\"\u0645\u062b\u0627\u0644
\u0645\u062b\u0627\u0644 \u0628\u0631\u0631\u0633\u06cc \u062f\u0627\u062f\u0647<\/span><\/figcaption><\/figure>

\u062a\u0648\u0636\u06cc\u062d:<\/span>
load(‘datafile.txt’) \u0628\u0627\u0631\u06af\u0630\u0627\u0631\u06cc \u062f\u0627\u062f\u0647\u200c\u0647\u0627 \u0627\u0632 \u06cc\u06a9 \u0641\u0627\u06cc\u0644 \u0645\u062a\u0646\u06cc \u0628\u0647 \u0645\u062a\u063a\u06cc\u0631 data.<\/span>
data(:, 1) \u0627\u0646\u062a\u062e\u0627\u0628 \u062a\u0645\u0627\u0645 \u0633\u0637\u0631\u0647\u0627 \u0648 \u0633\u062a\u0648\u0646 \u0627\u0648\u0644 \u0628\u0631\u0627\u06cc \u0632\u0645\u0627\u0646.<\/span>
data(:, 2) \u0627\u0646\u062a\u062e\u0627\u0628 \u062a\u0645\u0627\u0645 \u0633\u0637\u0631\u0647\u0627 \u0648 \u0633\u062a\u0648\u0646 \u062f\u0648\u0645 \u0628\u0631\u0627\u06cc \u0645\u0642\u0627\u062f\u06cc\u0631.<\/span>
figure \u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u067e\u0646\u062c\u0631\u0647 \u062c\u062f\u06cc\u062f \u0628\u0631\u0627\u06cc \u062a\u0631\u0633\u06cc\u0645.<\/span>
plot(time, values) \u062a\u0631\u0633\u06cc\u0645 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u0631 \u062d\u0633\u0628 \u0632\u0645\u0627\u0646.<\/span>
xlabel, ylabel, title \u0627\u0636\u0627\u0641\u0647 \u06a9\u0631\u062f\u0646 \u0628\u0631\u0686\u0633\u0628\u200c\u0647\u0627 \u0648 \u0639\u0646\u0648\u0627\u0646 \u0628\u0647 \u0646\u0645\u0648\u062f\u0627\u0631.<\/span>
grid on \u0641\u0639\u0627\u0644\u200c\u0633\u0627\u0632\u06cc \u0634\u0628\u06a9\u0647 \u0631\u0648\u06cc \u0646\u0645\u0648\u062f\u0627\u0631.<\/span><\/p>

\u0645\u062b\u0627\u0644 \u06f2. \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc \u0633\u06cc\u0633\u062a\u0645\u200c\u0647\u0627<\/span><\/h2>

clc; clear; close all<\/span>
% \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u0633\u06cc\u0633\u062a\u0645<\/span>
m = 5; % \u062c\u0631\u0645<\/span>
k = 10; % \u062b\u0627\u0628\u062a \u0641\u0646\u0631<\/span>
b = 1; % \u0636\u0631\u06cc\u0628 \u0627\u0635\u0637\u06a9\u0627\u06a9<\/span>
% \u0632\u0645\u0627\u0646 \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc<\/span>
t = 0:0.01:10; % \u0632\u0645\u0627\u0646 \u0627\u0632 0 \u062a\u0627 10 \u062b\u0627\u0646\u06cc\u0647 \u0628\u0627 \u06af\u0627\u0645 0.01 \u062b\u0627\u0646\u06cc\u0647<\/span>
% \u0645\u0639\u0627\u062f\u0644\u0647 \u062f\u06cc\u0641\u0631\u0627\u0646\u0633\u06cc\u0644<\/span>
sys = tf(1, [m b k]); % \u062a\u0627\u0628\u0639 \u0627\u0646\u062a\u0642\u0627\u0644 \u0633\u06cc\u0633\u062a\u0645<\/span>
% \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc \u067e\u0627\u0633\u062e<\/span>
step(sys, t); % \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc \u067e\u0627\u0633\u062e \u0628\u0647 \u0648\u0631\u0648\u062f\u06cc \u067e\u0644\u0647<\/span>
title(‘Step Response of the System’); % \u0639\u0646\u0648\u0627\u0646 \u0646\u0645\u0648\u062f\u0627\u0631<\/span><\/p>

\u062e\u0631\u0648\u062c\u06cc:<\/span><\/h3>
\"\u0645\u062b\u0627\u0644
\u062a\u0635\u0648\u06cc\u0631 \u0645\u062b\u0627\u0644 \u0634\u0628\u06cc\u0647 \u0633\u0627\u0632\u06cc \u0633\u06cc\u0633\u062a\u0645<\/span><\/figcaption><\/figure>

\u062a\u0648\u0636\u06cc\u062d:<\/span><\/p>

m, k, b \u062a\u0639\u0631\u06cc\u0641 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u0633\u06cc\u0633\u062a\u0645.<\/span>
t = 0:0.01:10 \u062a\u0639\u0631\u06cc\u0641 \u0632\u0645\u0627\u0646 \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc \u0627\u0632 0 \u062a\u0627 10 \u062b\u0627\u0646\u06cc\u0647 \u0628\u0627 \u06af\u0627\u0645 0.01 \u062b\u0627\u0646\u06cc\u0647.<\/span>
tf(1, [m b k]) \u0627\u06cc\u062c\u0627\u062f \u062a\u0627\u0628\u0639 \u0627\u0646\u062a\u0642\u0627\u0644 \u0633\u06cc\u0633\u062a\u0645.<\/span>
step(sys, t) \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc \u067e\u0627\u0633\u062e \u0628\u0647 \u0648\u0631\u0648\u062f\u06cc \u067e\u0644\u0647.<\/span><\/p>

\u0645\u062b\u0627\u0644 3: \u067e\u0631\u062f\u0627\u0632\u0634 \u0633\u06cc\u06af\u0646\u0627\u0644<\/span><\/h2>

clc; clear; close all<\/span>
% \u062a\u0648\u0644\u06cc\u062f \u0633\u06cc\u06af\u0646\u0627\u0644<\/span>
fs = 1000; % \u0641\u0631\u06a9\u0627\u0646\u0633 \u0646\u0645\u0648\u0646\u0647\u200c\u0628\u0631\u062f\u0627\u0631\u06cc<\/span>
t = 0:1\/fs:1; % \u0632\u0645\u0627\u0646 \u0627\u0632 0 \u062a\u0627 1 \u062b\u0627\u0646\u06cc\u0647<\/span>
f = 5; % \u0641\u0631\u06a9\u0627\u0646\u0633 \u0633\u06cc\u06af\u0646\u0627\u0644<\/span>
signal = sin(2*pi*f*t); % \u062a\u0648\u0644\u06cc\u062f \u0633\u06cc\u06af\u0646\u0627\u0644 \u0633\u06cc\u0646\u0648\u0633\u06cc<\/span>
% \u062a\u0631\u0633\u06cc\u0645 \u0633\u06cc\u06af\u0646\u0627\u0644<\/span>
figure;<\/span>
plot(t, signal); % \u062a\u0631\u0633\u06cc\u0645 \u0633\u06cc\u06af\u0646\u0627\u0644<\/span>
xlabel(‘Time (s)’); % \u0628\u0631\u0686\u0633\u0628 \u0645\u062d\u0648\u0631 x<\/span>
ylabel(‘Amplitude’); % \u0628\u0631\u0686\u0633\u0628 \u0645\u062d\u0648\u0631 y<\/span>
title(‘Sine Wave’); % \u0639\u0646\u0648\u0627\u0646 \u0646\u0645\u0648\u062f\u0627\u0631<\/span><\/p>

\u062e\u0631\u0648\u062c\u06cc:<\/span><\/h3>
\"\u0645\u062b\u0627\u0644
\u062a\u0635\u0648\u06cc\u0631 \u0645\u062b\u0627\u0644 \u067e\u0631\u062f\u0627\u0632\u0634 \u0633\u06cc\u06af\u0646\u0627\u0644<\/span><\/figcaption><\/figure>

\u062a\u0648\u0636\u06cc\u062d:<\/span>
fs = 1000 \u062a\u0639\u0631\u06cc\u0641 \u0641\u0631\u06a9\u0627\u0646\u0633 \u0646\u0645\u0648\u0646\u0647\u200c\u0628\u0631\u062f\u0627\u0631\u06cc.<\/span>
t = 0:1\/fs:1 \u062a\u0639\u0631\u06cc\u0641 \u0632\u0645\u0627\u0646 \u0627\u0632 0 \u062a\u0627 1 \u062b\u0627\u0646\u06cc\u0647.<\/span>
signal = sin(2*pi*f*t) \u062a\u0648\u0644\u06cc\u062f \u0633\u06cc\u06af\u0646\u0627\u0644 \u0633\u06cc\u0646\u0648\u0633\u06cc.<\/span>
plot(t, signal) \u062a\u0631\u0633\u06cc\u0645 \u0633\u06cc\u06af\u0646\u0627\u0644 \u0633\u06cc\u0646\u0648\u0633\u06cc.<\/span><\/p>

\u0645\u062b\u0627\u0644 4: \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u0648 \u0639\u062f\u062f\u06cc<\/span><\/h2>

clc; clear; close all<\/span>
% \u062a\u0639\u0631\u06cc\u0641 \u0645\u0639\u0627\u062f\u0644\u0647<\/span>
syms x; % \u062a\u0639\u0631\u06cc\u0641 \u06cc\u06a9 \u0645\u062a\u063a\u06cc\u0631 \u0646\u0645\u0627\u062f\u06cc\u0646<\/span>
eq = x^2 – 4; % \u062a\u0639\u0631\u06cc\u0641 \u0645\u0639\u0627\u062f\u0644\u0647 x^2 – 4 = 0<\/span>
% \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0647<\/span>
solutions = solve(eq, x); % \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0647<\/span>
disp(solutions); % \u0646\u0645\u0627\u06cc\u0634 \u0631\u0627\u0647\u200c\u062d\u0644\u200c\u0647\u0627<\/span><\/p>

\u062e\u0631\u0648\u062c\u06cc:<\/span><\/h3>

-2<\/span>
2<\/span><\/p>

\u062a\u0648\u0636\u06cc\u062d:<\/span>
syms x \u062a\u0639\u0631\u06cc\u0641 \u0645\u062a\u063a\u06cc\u0631 \u0646\u0645\u0627\u062f\u06cc\u0646.<\/span>
eq = x^2 \u2013 4 \u062a\u0639\u0631\u06cc\u0641 \u0645\u0639\u0627\u062f\u0644\u0647.<\/span>
solve(eq, x) \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0647 \u0628\u0631\u0627\u06cc x.<\/span>
disp(solutions) \u0646\u0645\u0627\u06cc\u0634 \u0631\u0627\u0647\u200c\u062d\u0644\u200c\u0647\u0627.<\/span><\/p>

\u0645\u062b\u0627\u0644\u06f5. \u0645\u0627\u0634\u06cc\u0646\u200c\u0647\u0627\u06cc \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc<\/span><\/h2>

clc; clear; close all<\/span>
% \u062f\u0627\u062f\u0647\u200c\u0647\u0627\u06cc \u0622\u0645\u0648\u0632\u0634\u06cc<\/span>
X = [1 1; 1 2; 2 2; 2 3]; % \u0648\u06cc\u0698\u06af\u06cc\u200c\u0647\u0627<\/span>
Y = [0; 0; 1; 1]; % \u0628\u0631\u0686\u0633\u0628\u200c\u0647\u0627<\/span>
% \u0627\u06cc\u062c\u0627\u062f \u0645\u062f\u0644 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc<\/span>
model = fitcsvm(X, Y); % \u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u0645\u062f\u0644 SVM<\/span>
% \u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc<\/span>
newData = [1.5 1.5]; % \u062f\u0627\u062f\u0647 \u062c\u062f\u06cc\u062f<\/span>
prediction = predict(model, newData); % \u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc \u0628\u0631\u0686\u0633\u0628<\/span>
disp(prediction); % \u0646\u0645\u0627\u06cc\u0634 \u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc<\/span><\/p>

\u062e\u0631\u0648\u062c\u06cc:<\/span><\/h3>

0<\/span>
\u062a\u0648\u0636\u06cc\u062d:<\/span>
X \u0648Y \u062f\u0627\u062f\u0647\u200c\u0647\u0627\u06cc \u0622\u0645\u0648\u0632\u0634\u06cc \u0648 \u0628\u0631\u0686\u0633\u0628\u200c\u0647\u0627.<\/span><\/p>

fitcsvm(X, Y) \u0627\u06cc\u062c\u0627\u062f \u0645\u062f\u0644 \u0645\u0627\u0634\u06cc\u0646 \u067e\u0634\u062a\u06cc\u0628\u0627\u0646\u06cc (SVM).<\/span>
predict(model, newData) \u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc \u0628\u0631\u0686\u0633\u0628 \u062f\u0627\u062f\u0647 \u062c\u062f\u06cc\u062f.<\/span>
disp(prediction) \u0646\u0645\u0627\u06cc\u0634 \u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc.<\/span><\/p>

\u0628\u0647 \u062f\u0644\u06cc\u0644 \u0642\u062f\u0631\u062a \u0628\u0627\u0644\u0627\u06cc \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0645\u062a\u0644\u0628\u060c \u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0631\u0634\u062a\u0647 \u0647\u0627\u06cc \u0645\u0647\u0646\u062f\u0633\u06cc\u060c \u0631\u0634\u062a\u0647 \u0647\u0627\u06cc \u062f\u06cc\u06af\u0631 \u0627\u0632 \u0642\u062f\u0631\u062a \u0627\u06cc\u0646 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0628\u0647\u0631\u0647 \u0645\u06cc \u0628\u0631\u0646\u062f. \u0628\u0627 \u0645\u0637\u0627\u0644\u0639\u0647 \u0645\u0642\u0627\u0644\u0627\u062a \u0632\u06cc\u0631 \u0628\u0647 \u06a9\u0627\u0631\u0628\u0631\u062f \u0647\u0627\u06cc \u0645\u062a\u0644\u0628 \u062f\u0631 \u062f\u06cc\u06af\u0631 \u0631\u0634\u062a\u0647 \u0647\u0627 \u067e\u06cc \u062e\u0648\u0627\u0647\u06cc\u062f \u0628\u0631\u062f.<\/span><\/p>

  1. \u06a9\u0627\u0631\u0628\u0631\u062f \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0645\u062a\u0644\u0628 \u062f\u0631 \u0627\u0642\u062a\u0635\u0627\u062f \u0686\u06cc\u0633\u062a\u061f<\/a><\/li>
  2. \u06a9\u0627\u0631\u0628\u0631\u062f \u0645\u062a\u0644\u0628 \u062f\u0631 \u0645\u0647\u0646\u062f\u0633\u06cc \u0628\u0631\u0642<\/a><\/li>
  3. \u06a9\u0627\u0631\u0628\u0631\u062f \u0645\u062a\u0644\u0628 \u062f\u0631 \u0627\u0644\u06a9\u062a\u0631\u0648\u0646\u06cc\u06a9<\/a><\/li>
  4. \u06a9\u0627\u0631\u0628\u0631\u062f \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0645\u062a\u0644\u0628 \u062f\u0631 \u0645\u0647\u0646\u062f\u0633\u06cc \u0639\u0645\u0631\u0627\u0646<\/a><\/li>
  5. \u06a9\u0627\u0631\u0628\u0631\u062f \u0645\u062a\u0644\u0628 \u062f\u0631 \u0639\u0644\u0645 \u0634\u06cc\u0645\u06cc \u0686\u06cc\u0633\u062a\u061f<\/a><\/li>
  6. \u06a9\u0627\u0631\u0628\u0631\u062f \u0645\u062a\u0644\u0628 \u062f\u0631 \u062d\u0633\u0627\u0628\u062f\u0627\u0631\u06cc \u0686\u06cc\u0633\u062a\u061f<\/a><\/li>
  7. \u06a9\u0627\u0631\u0628\u0631\u062f \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0645\u062a\u0644\u0628 \u062f\u0631 \u0639\u0644\u0645 \u0641\u06cc\u0632\u06cc\u06a9 \u0686\u06cc\u0633\u062a\u061f<\/a><\/li>
  8. \u06a9\u0627\u0631\u0628\u0631\u062f \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0645\u062a\u0644\u0628 \u062f\u0631 \u0645\u0647\u0646\u062f\u0633\u06cc \u067e\u0632\u0634\u06a9\u06cc<\/a><\/li>
  9. \u06a9\u0627\u0631\u0628\u0631\u062f \u0645\u062a\u0644\u0628 \u062f\u0631 \u0645\u0647\u0646\u062f\u0633\u06cc \u0645\u06a9\u0627\u0646\u06cc\u06a9<\/a><\/li>
  10. \u062e\u0627\u0631\u062c \u0642\u0633\u0645\u062a \u062f\u0631 \u0645\u062a\u0644\u0628<\/a><\/li><\/ol>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

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