{"knowledge_schema": {"broad_category": "Astronomy \u2192 Stellar Parallax \u2192 Stellar Density", "refinement": "This problem examines the relationship between the apparent density of stars and their parallax measurements, which are inversely related to their distances from Earth.", "specific_scope": "The focus is on understanding how the number of stars observed per unit interval of parallax changes as the parallax value varies, particularly in the context of an evenly distributed star field.", "goal": "Identify the mathematical relationship that describes how the density of stars per unit interval of parallax decreases with increasing parallax."}, "summary": "This problem relates to astronomy and the concept of stellar parallax, which is used to measure the distance of stars. The question asks how the number of stars per unit interval of parallax varies with the parallax value itself. Given that stars are evenly distributed, the density of stars observed decreases with increasing distance, which is mathematically represented as 1/plx^4. This indicates that as the parallax increases (indicating greater distance), the number of stars per unit interval of parallax decreases rapidly."}