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The Prussian General Staff developed by Moltke proved to be extremely effective, in contrast to the traditional French school. This was in large part due to the fact that the Prussian General Staff was created to study previous Prussian operations and learn to avoid mistakes. The structure also greatly strengthened Moltke's ability to control large formations spread out over significant distances. The Chief of the General Staff, effectively the commander in chief of the Prussian army, was independent of the minister of war and answered only to the monarch. The French General Staffalong with those of every other European militarywas little better than a collection of assistants for the line commanders. This disorganization hampered the French commanders' ability to exercise control of their forces.

Who is essentially considered the commander in chief of the Prussian army?
Answer: The Chief of the General Staff
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Notre Dame is known for its competitive admissions, with the incoming class enrolling in fall 2015 admitting 3,577 from a pool of 18,156 (19.7%). The academic profile of the enrolled class continues to rate among the top 10 to 15 in the nation for national research universities. The university practices a non-restrictive early action policy that allows admitted students to consider admission to Notre Dame as well as any other colleges to which they were accepted. 1,400 of the 3,577 (39.1%) were admitted under the early action plan. Admitted students came from 1,311 high schools and the average student traveled more than 750 miles to Notre Dame, making it arguably the most representative university in the United States. While all entering students begin in the College of the First Year of Studies, 25% have indicated they plan to study in the liberal arts or social sciences, 24% in engineering, 24% in business, 24% in science, and 3% in architecture.

How many miles does the average student at Notre Dame travel to study there?
Answer: more than 750 miles
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Mathematics: From the earliest the Chinese used a positional decimal system on counting boards in order to calculate. To express 10, a single rod is placed in the second box from the right. The spoken language uses a similar system to English: e.g. four thousand two hundred seven. No symbol was used for zero. By the 1st century BC, negative numbers and decimal fractions were in use and The Nine Chapters on the Mathematical Art included methods for extracting higher order roots by Horner's method and solving linear equations and by Pythagoras' theorem. Cubic equations were solved in the Tang dynasty and solutions of equations of order higher than 3 appeared in print in 1245 AD by Ch'in Chiu-shao. Pascal's triangle for binomial coefficients was described around 1100 by Jia Xian.

What advanced mathematical methods did the Tang dynasty have?
Answer:
Cubic equations