input hypothesis: The VitaliCaratheodory theorem can be understood from this statement to be a mathematical discovery with useful real world applications.
Context: In mathematics, the VitaliCaratheodory theorem is a result in real analysis that shows that, under the conditions stated below, integrable functions can be approximated in L from above and below by lower- and upper-semicontinuous functions, respectively. It is named after Giuseppe Vitali and Constantin Caratheodory.
true or false: It's impossible to say
input hypothesis: There are citizens.
Context: Now right here in Arizona, that difference would have been $131 million to the state of Arizona to help its kids be able to have better education and to lift the property tax burden from its citizens. The president reneged on his promise to fund No Child Left Behind.
true or false: Yes
input hypothesis: In the future, advanced warning systems will be developed.
Context: People who are deaf or have hearing impairments, those who are blind or have vision impairments, and those with mobility impairments may face unique challenges in an emergency. Their ability to detect a fire or escape its effects may be hindered by their impairments. As a result, people with these impairments are at a greater risk of death or injury due to fire.
true or false: It's impossible to say
input hypothesis: Less than twenty people were killed in the massacre
Context: The human rights promotion and protection secretariat of the FMLN strongly condemns the massacre of five Spanish-born Jesuit priests, and three Salvadoran citizens, carried out by the Salvadoran Armed Forces Soldiers.
true or false:
Yes