Input: John von Neumann
Later, von Neumann suggested a new method of linear programming, using the homogeneous linear system of Gordan (1873), which was later popularized by Karmarkar's algorithm. Von Neumann's method used a pivoting algorithm between simplices, with the pivoting decision determined by a nonnegative least squares subproblem with a convexity constraint (projecting the zero-vector onto the convex hull of the active simplex). Von Neumann's algorithm was the first interior point method of linear programming.

What was the new method of linear programming that von Neumann suggested?
Output: homogeneous linear system of Gordan

Input: Antibiotics
In empirical therapy, a patient has proven or suspected infection, but the responsible microorganism is not yet unidentified. While the microorgainsim is being identified the doctor will usually administer the best choice of antibiotic that will be most active against the likely cause of infection usually a broad spectrum antibiotic. Empirical therapy is usually initiated before the doctor knows the exact identification of microorgansim causing the infection as the identification process make take several days in the laboratory.

What is one kind of therapy that may be used when a patience has an infection, but it has not been identified?
Output: empirical therapy

Input: Han dynasty
The Han dynasty (Chinese: 漢朝; pinyin: Hàn cháo) was the second imperial dynasty of China, preceded by the Qin dynasty (221–207 BC) and succeeded by the Three Kingdoms period (220–280 AD). Spanning over four centuries, the Han period is considered a golden age in Chinese history. To this day, China's majority ethnic group refers to itself as the "Han people" and the Chinese script is referred to as "Han characters". It was founded by the rebel leader Liu Bang, known posthumously as Emperor Gaozu of Han, and briefly interrupted by the Xin dynasty (9–23 AD) of the former regent Wang Mang. This interregnum separates the Han dynasty into two periods: the Western Han or Former Han (206 BC – 9 AD) and the Eastern Han or Later Han (25–220 AD).

When did the Former Han period begin?
Output: 206 BC

Input: Symbiosis
Amensalism is an interaction where an organism inflicts harm to another organism without any costs or benefits received by the other. A clear case of amensalism is where sheep or cattle trample grass. Whilst the presence of the grass causes negligible detrimental effects to the animal's hoof, the grass suffers from being crushed. Amensalism is often used to describe strongly asymmetrical competitive interactions, such as has been observed between the Spanish ibex and weevils of the genus Timarcha which feed upon the same type of shrub. Whilst the presence of the weevil has almost no influence on food availability, the presence of ibex has an enormous detrimental effect on weevil numbers, as they consume significant quantities of plant matter and incidentally ingest the weevils upon it.

What does the Spanish ibex eat?
Output:
shrub