Ana sayfa Bilimsel Modüller SymPy ile Calculus hesaplamaları – Bölüm 2 (Limit,Türev,İntegral)

SymPy ile Calculus hesaplamaları – Bölüm 2 (Limit,Türev,İntegral)

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Bu yazımızda, SymPy’a giriş uygulamalarımıza devam ediyoruz.

!!! Kodlarınızı yazarken modülü import etmeyi ve değişkenleri tanımlamayı unutmayın !!!

Limit :

Çeşitli matematiksel hesaplamalarda oluşan belirsizlikleri kısmen engel olmak için başvurulan limit hesapları ile başlangıç yapacağız. Genel olarak fonksiyon

limit(fonksiyon,değişken,sayı) şeklinde çalışmaktadır.

Şimdi sıra ise türevde. Bildiğimiz türev kavramı genel olarak bir doğrunun eğimi olarak tanımlanabilirken, aslında bir sistemin zaman veya seçilen başka bir parametre ölçeğinde nasıl değiştiğini hesaplamaya yarayan matematiksel bir yöntemdir.

Türev :

Genel haliyle türev fonksiyonu, diff(fonksiyon,değişken,derece) şeklinde işleme sokulur.

n.mertebeden türev :

n.mertebeden türevleri hesaplamak için fonksiyona bir parametre daha eklenmelidir. Söz gelimi fonksiyon şuna dönüşür, diff(fonksiyon,değişken,derece)

İntegral :

İntegral genel haliyle, türevi alınmış bir fonksiyonu türevi alınmadan önceki haline getirilmesine yarayan bir fonksiyon olarak düşünebiliriz. Uygulamada ise çeşitli fiziksel sistemlerin alan, hacim ve daha nice hesaplarını yapmakta kullanılmaktadır.

SymPy’da integral hesaplarının genel hali şu şekildedir. integrate(fonksiyon,değişken)

Yukarıda göstermiş olduğumuz integral hesapları, bildiğiniz gibi belirsiz integral statüsüne girmektedir. Şayet biz belirli integral hesapları yapmak istersek, fonksiyonumuz şu şekilde olmalıdır.

integrate(fonksiyon,(değişken,başlangıç,bitiş))

Başka bir örnek,

Yeni bir yazıda görüşmek üzere..  🙂

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

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