input hypothesis: All subspace regions of Hilbert space are dense.
Context: In mathematics, an O*-algebra is an algebra of possibly unbounded operators defined on a dense subspace of a Hilbert space. The original examples were described by and , who studied some examples of O*-algebras, called Borchers algebras, arising from the Wightman axioms of quantum field theory. and began the systematic study of algebras of unbounded operators.
true or false: It's impossible to say
input hypothesis: Teenagers from Saltillo were charged with destruction to a church.
Context: Two Saltillo teens arrested in June for vandalizing a Weaver Cemetery and a church near Pickton have been indicted by a Hopkins County grand jury. Canyon Ray Davis and Johnny Lyle Bench were charged with Tampering with Evidence and Criminal Mischief resulting in damage or destruction to a place of worship.
true or false: Yes
input hypothesis: Lima and Jaric aren't from the United States.
Context: Victoria's Secret supermodel Adriana Lima confirms to People that she secretly got married (to basketball player Marko Jaric) on Valentine's Day! JJ reported on their engagement in June of 2008. The pair eloped in Jackson Hole, Wyoming in a small, private civil ceremony. Adriana said, "We are so excited about our future together. And we are really looking forward to a big romantic wedding this summer with all of our friends and family." The happy couple will look to celebrate next in Adriana's native Brazil or Marko's native Serbia.
true or false: Yes
input hypothesis: most students at Abbottabad University take art classes
Context: The Abbottabad University of Science and Technology (also named "AUST"), is a public university located in Havelian (12km from Abbottabad), Khyber Pakhtunkhwa, Pakistan. The University offers admissions in "Bachelors", "Masters", "MS/M. Phill" and "PHD" programs.
true or false:
It's impossible to say