Context and question: Von Neumann made fundamental contributions in exploration of problems in numerical hydrodynamics. For example, with Robert D. Richtmyer he developed an algorithm defining artificial viscosity that improved the understanding of shock waves. A problem was that when computers solved hydrodynamic or aerodynamic problems, they tried to put too many computational grid points at regions of sharp discontinuity (shock waves). The mathematics of artificial viscosity smoothed the shock transition without sacrificing basic physics. Other well known contributions to fluid dynamics included the classic flow solution to blast waves, and the co-discovery of the ZND detonation model of explosives.
What did the math of artificial viscosity do?
Answer: smoothed the shock transition without sacrificing basic physics
Context and question: The Eastern Roman Empire – today conventionally named the Byzantine Empire, a name not in use during its own time – became increasingly influenced by Greek culture after the 7th century, when Emperor Heraclius (AD 575 - 641) decided to make Greek the empire's official language. Certainly from then on, but likely earlier, the Roman and Greek cultures were virtually fused into a single Greco-Roman world. Although the Latin West recognized the Eastern Empire's claim to the Roman legacy for several centuries, after Pope Leo III crowned Charlemagne, king of the Franks, as the "Roman Emperor" on 25 December 800, an act which eventually led to the formation of the Holy Roman Empire, the Latin West started to favour the Franks and began to refer to the Eastern Roman Empire largely as the Empire of the Greeks (Imperium Graecorum).
What decision did he make that influenced the culture in an attempt to make things more homogeneous ?
Answer: decided to make Greek the empire's official language.
Context and question: In addition to the six boards, there was a Lifan Yuan unique to the Qing government. This institution was established to supervise the administration of Tibet and the Mongol lands. As the empire expanded, it took over administrative responsibility of all minority ethnic groups living in and around the empire, including early contacts with Russia — then seen as a tribute nation. The office had the status of a full ministry and was headed by officials of equal rank. However, appointees were at first restricted only to candidates of Manchu and Mongol ethnicity, until later open to Han Chinese as well.
How many boards were there in the Qing government?
Answer:
six