Information: - The Federative Republic of Brazil is a union of 27 Federative Units (UF): 26 states (') and one federal district ('), where the federal capital, Brasilia, is located. The states are generally based on historical, conventional borders which have developed over time. The Federal District is not formally a state, but shares some characteristics of a state as well as some of a municipality. The codes given below are defined in . History. The present states of Brazil trace their history directly to the captaincies established by Portugal following the Treaty of Tordesillas which divided part of South America between Portugal and Spain. - Jacobina is a city in the Centro Norte Baiano mesoregion of Bahia . It was founded July 28 , 1880 and the population is 78,842 . Surrounded by mountains , hills , lakes , rivers , springs and waterfalls , Jacobina presents itself as an excellent destination for lovers of ecological tourism . Located in the northwest region of Bahia , in the extreme north of the Chapada Diamantina , Jacobina is 330 kilometers from Salvador and is also known as City of Gold , a legacy of the gold mines which attracted the pioneers from Sao Paulo in the early seventeenth century . Besides the natural beauty and the mines , Jacobina has a rich historic and cultural heritage , which can be traversed with the help of tour guides . The city has over 600 beds , divided into 241 apartments , 13 hotels and inns . - The Bay of All Saints, also known as All Saints' Bay and Todos os Santos Bay, is the principal bay of the Brazilian state of Bahia, to which it gave its name. Todos os Santos Bay sits on the eastern coast of Brazil, surrounding part of Bahia's capital Salvador and opening to the Atlantic Ocean. It covers , making it the largest bay in Brazil. - Bahia is one of the 26 states of Brazil and is located in the northeastern part of the country on the Atlantic coast. It is the 4th-largest Brazilian state by population (after Sao Paulo, Minas Gerais, and Rio de Janeiro) and the 5th-largest by area. Bahia's capital is the city of Salvador (formerly known as "Cidade do Sao Salvador da Bahia de Todos os Santos", lit. ""City of Holy Savior of All Saints Bay""), located on a spit of land separating the Bay of All Saints from the Atlantic. Once a monarchial stronghold dominated by agricultural, slaving, and ranching interests, Bahia is now a major manufacturing center whose last three elections have been dominated by the Workers' Party. - Minas Gerais is a state in the north of Southeastern Brazil. It ranks as the second most populous, the third by gross domestic product (GDP), and the fourth largest by area in the country. The state's capital and largest city, Belo Horizonte, is a major urban and finance center in Latin America, and is the sixth largest municipality in Brazil, after the cities of Sao Paulo, Rio de Janeiro, Salvador, Brasilia and Fortaleza, but its metropolitan area is the third largest in Brazil with just over 5,500,000 inhabitants, after those of Sao Paulo and Rio de Janeiro. Minas Gerais is the state with the largest number of Brazilian presidents. After reading the paragraphs above, choose the best answer for the entity that related to 'jacobina' with the relationship of 'country'. Choices: - brazil - spain
brazil

Q: Information: - In mathematics, specifically in category theory, the category of small categories, denoted by Cat, is the category whose objects are all small categories and whose morphisms are functors between categories. Cat may actually be regarded as a 2-category with natural transformations serving as 2-morphisms. - Category theory formalizes mathematical structure and its concepts in terms of a collection of "objects" and of "arrows" (also called morphisms). A category has two basic properties: the ability to compose the arrows associatively and the existence of an identity arrow for each object. The language of category theory has been used to formalize concepts of other high-level abstractions such as sets, rings, and groups. - In the mathematical theory of categories , a sketch is a category D , together with a set of limit cones and a set of colimit cones . A model of the sketch in a category C is a functor M : D \ rightarrow C that takes each specified cone to a limit cone in C and each specified cocone to a colimit cocone in C. Morphisms of models are natural transformations . Sketches are a general way of specifying structures on the objects of a category , forming a category - theoretic analog to the logical concept of a theory and its models . They allow multisorted models and models in any category . Sketches were invented in 1968 by Charles Ehresmann , using a different but equivalent definition . There are still other definitions in the research literature . - Mathematics (from Greek "mathma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. - In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector spaces). The word "homomorphism" comes from the ancient Greek language: " (homos)" meaning "same" and " (morphe)" meaning "form" or "shape". - In mathematics, a functor is a type of mapping between categories arising in category theory. Functors can be thought of as homomorphisms between categories. In the category of small categories, functors can be thought of more generally as morphisms. After reading the paragraphs above, choose the best answer for the entity that related to 'sketch ' with the relationship of 'facet of'. Choices: - algebra - category theory - mathematics
A: category theory