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Possible Answers:
DUAL.
Last seen on: USA Today Crossword – Nov 2 2022
Random information on the term “___ citizens”:
The place of birth (POB) or birthplace is the place where a person was born. This place is often used in legal documents, together with name and date of birth, to uniquely identify a person. Practice regarding whether this place should be a country, a territory or a city/town/locality differs in different countries, but often city or territory is used for native-born citizen passports and countries for foreign-born ones.
As a general rule with respect to passports, if the place of birth is to be a country, it’s determined to be the country that currently has sovereignty over the actual place of birth, regardless of when the birth actually occurred. The place of birth is not necessarily the place where the parents of the new baby live. If the baby is born in a hospital in another place, that place is the place of birth. In many countries, this also means that the government requires that the birth of the new baby is registered in the place of birth.
Some countries place less or no importance on the place of birth, instead using alternative geographical characteristics for the purpose of identity documents. For example, Sweden has used the concept of födelsehemort (“domicile of birth”) since 1947. This means that the domicile of the baby’s mother is the registered place of birth. The location of the maternity ward or other physical birthplace is considered unimportant.
Random information on the term “DUAL”:
In mathematics, a duality translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A. Such involutions sometimes have fixed points, so that the dual of A is A itself. For example, Desargues’ theorem is self-dual in this sense under the standard duality in projective geometry.
In mathematical contexts, duality has numerous meanings. It has been described as “a very pervasive and important concept in (modern) mathematics” and “an important general theme that has manifestations in almost every area of mathematics”.
Many mathematical dualities between objects of two types correspond to pairings, bilinear functions from an object of one type and another object of the second type to some family of scalars. For instance, linear algebra duality corresponds in this way to bilinear maps from pairs of vector spaces to scalars, the duality between distributions and the associated test functions corresponds to the pairing in which one integrates a distribution against a test function, and Poincaré duality corresponds similarly to intersection number, viewed as a pairing between submanifolds of a given manifold.