171st  Top numerical analysis topics 
Question 1: This is a formulation of the Laxâ€“Milgram theorem which relies on properties of the symmetric part of the ________.  

Question 2: We can make the left side of this equation more symmetric by ________ using Green's identity:  

Question 3: Weak formulations are an important tool for the analysis of mathematical equations that permit the transfer of concepts of ________ to solve problems in other fields such as partial differential equations.  

Question 4: In a weak formulation, an equation is no longer required to hold absolutely (and this is not even well defined) and has instead weak solutions only with respect to certain "test vectors" or "________".  

