Perhaps you want to limit your search to just The New York Times?
You recall seeing an article on food/water insecurity, or want to know what the New York Times has published on the subject.
The hl= command tells the search engine to search in the headline field only.
The parentheses are for nested searching – allowing you to search for EITHER food OR water. Increasing the number of keyword synonyms enables you to broaden the search and capture the greatest number of relevant articles.
The w/3 command searches these two concepts within 3 words of each other
By putting a * after insecur*, it tells the search engine to search for alternate versions such as suffixes, singular, plural, etc. For example, insecure or insecurity.
Maybe you are looking for a specific article that ran in The New York Times, e.g.: "When Does Food Insecurity Morph Into Official Famine?"