Q: The Faroe Islands, a self-governing nation within the Kingdom of Denmark, is not part of the EU, as explicitly asserted by both Rome treaties.
Can we conclude that are the faroe islands part of the eu?
A: no

Q: For symmetry with respect to rotations about a point we can take that point as origin. These rotations form the special orthogonal group SO(m), the group of mm orthogonal matrices with determinant 1. For m = 3 this is the rotation group SO(3).
Can we conclude that is point symmetry a special type of rotational symmetry?
A: yes

Q: The California Gold Rush (1848--1855) began on January 24, 1848, when gold was found by James W. Marshall at Sutter's Mill in Coloma, California. The news of gold brought approximately 300,000 people to California from the rest of the United States and abroad. The sudden influx of immigration and gold into the money supply reinvigorated the American economy, and California became one of the few American states to go directly to statehood without first being a territory, in the Compromise of 1850. The Gold Rush had severe effects on Native Californians and resulted in a precipitous population decline from disease, genocide and starvation. By the time it ended, California had gone from a thinly populated ex-Mexican territory, to the home state of the first presidential nominee for the new Republican Party, in 1856.
Can we conclude that did california became a state because of the gold rush?
A: yes

Q: After the fight, the sportscasters and the audience go wild. Jergens announces over the loudspeaker that the fight was ''the greatest exhibition of guts and stamina in the history of the ring'', and Rocky calls out repeatedly for Adrian, who runs down and comes into the ring as Paulie distracts arena security. As Jergens declares Creed the winner by virtue of a split decision (8:7, 7:8, 9:6), Adrian and Rocky embrace and profess their love to each other, not caring about the result of the fight.
Can we conclude that did rocky beat apollo creed in rocky 1?
A:
no