Top

A top is a toy designed to be spun rapidly on the ground, the motion of which causes it to remain precisely balanced on its tip because of inertia. Such toys have existed since antiquity. Traditionally tops were constructed of wood, sometimes with an iron tip, and would be set in motion by aid of a string or rope coiled around its axis which, when pulled quickly, caused a rapid unwinding that would set the top in motion. Today they are often built of plastic, and modern materials and manufacturing processes allow tops to be constructed with such precise balance that they can be set in motion by a simple twist of the fingers and twirl of the wrist without need for string or rope.

Characteristics

The motion of a top is produced in the most simple forms by twirling the stem using the fingers. More sophisticated tops are spun by holding the axis firmly while pulling a string or twisting a stick or pushing an auger. In the kinds with an auger, an internal weight rotates, producing an overall circular motion. Some tops can be thrown, while firmly grasping a string that had been tightly wound around the stem, and the centrifugal force generated by the unwinding motion of the string will set them spinning upon touching ground.

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

Guide (disambiguation)

A Guide is a person with specialized knowledge that helps laypersons travel thru an area

Guide or The Guide may also refer to:

A source of useful information

People

Compendium

A compendium (plural: compendia) is a concise compilation of a body of knowledge. A compendium may summarize a larger work. In most cases the body of knowledge will concern a specific field of human interest or endeavour (for example: hydrogeology, logology, ichthyology, phytosociology or myrmecology), while a general encyclopedia can be referred to as a compendium of all human knowledge.

The word compendium arrives from the Latin word "compenso", meaning "to weigh together or balance". The 21st century has seen the rise of democratized, online compendia in various fields.

Examples

An example would be the Compendium of the Catechism of the Catholic Church, a concise 598-question-and-answer book which summarises the teachings of the Catholic Faith and Morals.

The Bible is another example of a compendium - a group of many writings of the prophets and apostles over a period of time, whose books are put together to form the Old Testament and the New Testament.

Some well known literary figures have written their own compendium. An example would be Alexandre Dumas, author of The Three Musketeers, and an enthusiastic gourmand. His compendium on food titled From Absinthe to Zest serves as an alphabet for food lovers.