QUES: Sub- and quotient groups are related in the following way: a subset H of G can be seen as an injective map H → G, i.e. any element of the target has at most one element that maps to it. The counterpart to injective maps are surjective maps (every element of the target is mapped onto), such as the canonical map G → G / N.y[›] Interpreting subgroup and quotients in light of these homomorphisms emphasizes the structural concept inherent to these definitions alluded to in the introduction. In general, homomorphisms are neither injective nor surjective. Kernel and image of group homomorphisms and the first isomorphism theorem address this phenomenon.

What theory address the phenomenon of homomorphisms being neither injective nor surjective?
What is the answer?
ANS: the first isomorphism theorem
QUES: As an adolescent, he had a particular love of theology and the Scriptures became the foundation of his spirituality. During his studies in Palencia, Spain, he experienced a dreadful famine, prompting Dominic to sell all of his beloved books and other equipment to help his neighbors. After he completed his studies, Bishop Martin Bazan and Prior Diego d'Achebes appointed Dominic to the cathedral chapter and he became a regular canon under the Rule of St. Augustine and the Constitutions for the cathedral church of Osma. At the age of twenty-four or twenty-five, he was ordained to the priesthood.

What subject did Dominic particularly hate?
What is the answer?
ANS: unanswerable
QUES: INTEGRIS Health owns several hospitals, including INTEGRIS Baptist Medical Center, the INTEGRIS Cancer Institute of Oklahoma, and the INTEGRIS Southwest Medical Center. INTEGRIS Health operates hospitals, rehabilitation centers, physician clinics, mental health facilities, independent living centers and home health agencies located throughout much of Oklahoma. INTEGRIS Baptist Medical Center was named in U.S. News & World Report's 2012 list of Best Hospitals. INTEGRIS Baptist Medical Center ranks high-performing in the following categories: Cardiology and Heart Surgery; Diabetes and Endocrinology; Ear, Nose and Throat; Gastroenterology; Geriatrics; Nephrology; Orthopedics; Pulmonology and Urology.

When was INTEGRIS Baptist Medical Center part of U.S News and World Reports best Hospitals list?
What is the answer?
ANS:
2012