Dakota (given name)

Dakota is a given name derived from the name of two states in the United States: North Dakota or South Dakota, or from the name of an indigenous Native American tribe. The name is translated to mean "friend", "friendly" or "allies" in the Yankton-Yanktonai and Santee dialects of the Lakota Sioux language.

Dakota is in use for both girls and boys. It was the 203rd most popular name for American boys in 2007, having ranked in the top 100 most popular names from 1995 to 2000. It first appeared among the top 1,000 most popular names for boys in the United States in 1985. It was the 239th most popular name for American girls in 2007. It has ranked among the top 400 names for American girls since 1991. The name has been in occasional use for both sexes in the United States since at least the 1940s.

People with the name

Dakota (cigarette)

Dakota was a brand of cigarettes introduced by R.J. Reynolds Tobacco (RJR) in 1990. Their marketing was targeted towards young blue-collar "virile females", in an attempt to displace the Marlboro brand without diluting Reynolds' dominant Camel brand's appeal to males. After test-marketing in Houston, Tucson, Phoenix, and Nashville didn't yield the desired results, the brand was withdrawn.

Prior to the marketing campaign, its details were leaked to the Washington Post. In spite of the manufacturer's denial to have specifically targeted young females, this revelation sparked widespread discussion of targeted advertising in general in the media.

References

Rochester 400

The Minnesota 400 was a streamlined passenger train operated by the Chicago and North Western Railway on its southern Minnesota line between Mankato, Minnesota and Wyeville, Wisconsin. It began running in 1936. In 1950 it was extended to run between Chicago, Illinois and Huron, South Dakota and renamed the Dakota 400. It would be further extended to Rapid City, South Dakota, before being cut back to Mankato, in 1960. This final iteration was named the Rochester 400 and it ceased operation in 1963.

History

The Minnesota 400 began service in a similar way to the original Twin Cities to Chicago 400, with heavyweight passenger cars pulled by an ordinary, non-streamlined steam locomotive. These were originally C&NW Class D 4-4-2 Atlantics, but they were already more than 30 years old at that point. In 1938, more passenger cars were added to the trains, so the locomotives were replaced by Class ES 4-6-2 Pacifics, with streamlined shrouds. These were still about 25 years old, but were better able to handle the heavier load. The train still primarily ran with heavyweight passenger cars until after World War II, finally receiving a full consist of streamlined cars in 1946. It was still another four years before the first EMD E8 diesel locomotives began pulling the train in 1950. At that time, the service was expanded to South Dakota and renamed the Dakota 400.

Top (mathematics)

In the context of a module M over a ring R, the top of M is the largest semisimple quotient module of M if it exists.

For finite-dimensional k-algebras (k a field), if rad(M) denotes the intersection of all proper maximal submodules of M (the radical of the module), then the top of M is M/rad(M). In the case of local rings with maximal ideal P, the top of M is M/PM. In general if R is a semilocal ring (=semi-artinian ring), that is, if R/Rad(R) is an Artinian ring, where Rad(R) is the Jacobson radical of R, then M/rad(M) is a semisimple module and is the top of M. This includes the cases of local rings and finite dimensional algebras over fields.

See also

References

Top (clothing)

A top is clothing that covers at least the chest, but which usually covers most of the upper human body between the neck and the waistline. The bottom of tops can be as short as mid-torso, or as long as mid-thigh. Men's tops are generally paired with pants, and women's with pants or skirts. Common types of tops are t-shirts, blouses and shirts.

Design

The neckline is the highest line of the top, and may be as high as a head-covering hood, or as low as the waistline or bottom hem of the top. A top may be worn loose or tight around the bust or waist, and may have sleeves or shoulder straps, spaghetti straps (noodle straps), or may be strapless. The back may be covered or bare. Tops may have straps around the waist or neck, or over the shoulders.

Types

Neck styles

See also

References

External links

Category of topological spaces

In mathematics, the category of topological spaces, often denoted Top, is the category whose objects are topological spaces and whose morphisms are continuous maps or some other variant; for example, objects are often assumed to be compactly generated. This is a category because the composition of two continuous maps is again continuous. The study of Top and of properties of topological spaces using the techniques of category theory is known as categorical topology.

N.B. Some authors use the name Top for the category with topological manifolds as objects and continuous maps as morphisms.

As a concrete category

Like many categories, the category Top is a concrete category (also known as a construct), meaning its objects are sets with additional structure (i.e. topologies) and its morphisms are functions preserving this structure. There is a natural forgetful functor

to the category of sets which assigns to each topological space the underlying set and to each continuous map the underlying function.