analytically

adverb
1
by using a logical method of thinking about something in order to understand it, especially by looking at all the parts separately
به‌طور تحلیلی, تحلیلاً, به صورت تحلیلی, از لحاظ تحلیلی
2
by using scientific analysis in order to find out about something
به صورت تحلیلی, تحلیلی, به روش تحلیلی, تحلیلاً
Equations of motion for the water atoms were solved analytically.