Problem: Please answer a question about the following article about Energy:
Noether's theorem (1918) states that any differentiable symmetry of the action of a physical system has a corresponding conservation law. Noether's theorem has become a fundamental tool of modern theoretical physics and the calculus of variations. A generalisation of the seminal formulations on constants of motion in Lagrangian and Hamiltonian mechanics (1788 and 1833, respectively), it does not apply to systems that cannot be modeled with a Lagrangian; for example, dissipative systems with continuous symmetries need not have a corresponding conservation law.
When was Noether's theorem created?
A: 1918
Problem: Please answer a question about the following article about Arena Football League:
In 1993, the league staged its first All-Star Game in Des Moines, Iowa, the future home of the long-running Iowa Barnstormers, as a fundraiser for flood victims in the area. The National Conference defeated the American Conference 64–40 in front of a crowd of 7,189. The second Allstar game was in Oct. 2013, with two games, the first in Honolulu, Hawai'i, the second being in Beijing, China.
What notable event in the AFL first occurred in 1993?
A: first All-Star Game
Problem: Please answer a question about the following article about Roman Republic:
By 390 BC, several Gallic tribes were invading Italy from the north as their culture expanded throughout Europe. The Romans were alerted to this when a particularly warlike tribe invaded two Etruscan towns close to Rome's sphere of influence. These towns, overwhelmed by the enemy's numbers and ferocity, called on Rome for help. The Romans met the Gauls in pitched battle at the Battle of Allia River around 390–387 BC. The Gauls, led by chieftain Brennus, defeated the Roman army of approximately 15,000 troops, pursued the fleeing Romans back to Rome, and sacked the city before being either driven off or bought off. Romans and Gauls continued to war intermittently in Italy for more than two centuries.[relevant? – discuss]
How many of the Roman military were involved in the Battle of Allia River?
A: 15,000 troops
Problem: Please answer a question about the following article about Premier League:
There has been an increasing gulf between the Premier League and the Football League. Since its split with the Football League, many established clubs in the Premier League have managed to distance themselves from their counterparts in lower leagues. Owing in large part to the disparity in revenue from television rights between the leagues, many newly promoted teams have found it difficult to avoid relegation in their first season in the Premier League. In every season except 2001–02 and 2011–12, at least one Premier League newcomer has been relegated back to the Football League. In 1997–98 all three promoted clubs were relegated at the end of the season.
In the 1997-98 season how many new teams had to go back to the Football League?
A:
In 1997–98 all three promoted clubs were relegated at the end of the season.