Ana sayfa Bilimsel Modüller SymPy ile Calculus hesaplamaları – Bölüm 3 (Seri açılımları)

SymPy ile Calculus hesaplamaları – Bölüm 3 (Seri açılımları)

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200
PAYLAŞ

Bu yazımızda SymPy modülüne kaldığımız yerden devam ediyoruz. Sıradaki güzide konumuza  giriş yapalım !

Seri açılımları :

Bildiğiniz gibi çeşitli fonksiyonları (genelde periyodik) yeri geldiğinde seriye açma gereksinimi duyabiliriz. Mesela bazı fonksiyonlar üzerinde türev veya integral gibi işlemler yaparken epey zorlanılabilir. Buna engel olmak için fonksiyonu seriye açarak işlem kolaylığı sağlayabiliriz. Yada bazı bilimsel ispatlarda fonksiyonları seriye açarak yaklaşık kabullerde bulunabiliriz. Yani kullanım alanları çok geniş. Tabi seriye açtığımız fonksiyon, orijinal çıkması gereken değere kabaca yaklaşacaktır. Seriyi ne kadar uzatırsak gerçek değere o kadar yaklaşır.

Bu kadar konuşmak yeter, hadi biraz parmaklarımızı çalıştırmaya başlayalım !

Kullanacağımız fonksiyonun genel hali şu şekildedir :      fonksiyon.series(değişken,nokta,seriye açılacak genişlik)

Buradaki O(x) gösterimi Landau sabiti olarak tanımlanır. (Veya büyük O gösterimi – (Big-Oh)) Matematikte kullanım alanı ise kırpılmış bir sonsuz serinin geriye kalan karakterlerini karakterize eder.

Trigonometri alanına da biraz değinmek gerekirse…

Yeni bir yazıda görüşmek üzere..  🙂

Kaynaklar:

http://docs.sympy.org/0.7.1/tutorial.html

http://mathworld.wolfram.com/LandauSymbols.html

https://tr.wikipedia.org/wiki/B%C3%BCy%C3%BCk_O_g%C3%B6sterimi

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