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مهندسی مکانیک و هوافضا - جمع سمبلیک (سیگما) در متلب با دستور symsum :
 
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جمع سمبلیک (سیگما) در متلب با دستور symsum :
در ریاضیات، علامت سیگما ( ∑ ) که برای جمع زدن یک عبارت می باشد، زیاد به کار می رود. در عبارت جلوی سیگما، متغیری وجود دارد که هر بار مقدار آن، تغییر می کند. در متلب برای محاسبه مجموع نوشته شده با علامت سیگما، دستور symsum در نظر گرفته شده است. به مثال زیر توجه کنید :

فرض کنید بخواهیم مجموع زیر را محاسبه کنیم :

k=1n(1k1k+1)

می نویسیم :


syms k n
symsum(1/k-1/(k+1),1,n)

نتیجه :


ans =
 
psi(n + 1) - psi(n + 2) + 1


فرض کنید بخواهیم مجموع زیر را محاسبه کنیم :

n=1(1n2)

می نویسیم :


syms n
symsum(1/n^2,1,Inf)

نتیجه :


ans =
 
pi^2/6


مرتبط با: متلب ( MATLAB ) ,
می توانید دیدگاه خود را بنویسید
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