Degree
Degree may refer to:
As a unit of measurement
Field extension
In abstract algebra, field extensions are the main object of study in field theory. The general idea is to start with a base field and construct in some manner a larger field that contains the base field and satisfies additional properties. For instance, the set Q(√2) = {a + b√2 | a, b ∈ Q} is the smallest extension of Q that includes every real solution to the equation x2 = 2.
Definitions
Let L be a field. A subfield of L is a subset K of L that is closed under the field operations of L and under taking inverses in L. In other words, K is a field with respect to the field operations inherited from L. The larger field L is then said to be an extension field of K. To simplify notation and terminology, one says that L / K (read as "L over K") is a field extension to signify that L is an extension field of K.
If L is an extension of F which is in turn an extension of K, then F is said to be an intermediate field (or intermediate extension or subextension) of the field extension L / K.
Degree symbol
The degree symbol (°) is a typographical symbol that is used, among other things, to represent degrees of arc (e.g. in geographic coordinate systems), hours (in the medical field), degrees of temperature, alcohol proof, or diminished quality in musical harmony. The symbol consists of a small raised circle, historically a zero glyph.
In Unicode it is encoded at U+00B0 ° DEGREE SIGN (HTML ° · °).
History
The first known recorded modern use of the degree symbol in mathematics is from 1569 where the usage seems to show that the symbol is a small raised zero, to match the prime symbol notation of sexagesimal subdivisions of degree such as minute ′, second ″, and tertia ‴ which originates as small raised Roman numerals.
Typography
In the case of degrees of arc, the degree symbol follows the number without any intervening space.
Cup
A cup is a small open container used for drinking and carrying drinks. It may be made of wood, plastic, glass, clay, metal, stone, china or other materials, and may have a stem, handles or other adornments. Cups are used for drinking across a wide range of cultures and social classes, and different styles of cups may be used for different liquids or in different situations.
Cups have been used for thousands of years for the purpose of carrying food and drink, as well as for decoration. They may also be used in certain cultural rituals and to hold objects not intended for drinking such as coins.
Types
Names for different types of cups vary regionally and may overlap. Any transparent cup, regardless of actual composition, is likely to be called a "glass"; therefore, while a cup made of paper is a "paper cup", a transparent one for drinking shots is called a "shot glass", instead.
Cups for hot beverages
While in theory, most cups are well suited to hold drinkable liquids, hot drinks like tea are generally served in either insulated cups or porcelain teacups.
Cup (unit)
The cup is a unit of measurement for volume, used in cooking to measure liquids (fluid measurement) and bulk foods such as granulated sugar (dry measurement). It is principally used in the United States and Liberia where it is a legally defined unit of measurement. Actual cups used in a household in any country may differ from the cup size used for recipes; standard measuring cups, often calibrated in fluid measure and weights of usual dry ingredients as well as in cups, are available.
Metric cup
Some countries in the Commonwealth of Nations, notably Australia and New Zealand, define a metric cup of 250 millilitres. Units such as metric cups and metric feet are derived from the metric system but are not official metric units
A "coffee cup" is 1.5 dl or 150 millilitres or 5.07 US customary fluid ounces, and is occasionally used in recipes. It is also used in the US to specify coffeemaker sizes (what can be referred to as a Tasse à café). A "12-cup" US coffeemaker makes 57.6 US customary fluid ounces of coffee, or 6.8 metric cups of coffee.
America's Cup
The America's Cup, affectionately known as the "Auld Mug", is a trophy awarded to the winner of the America's Cup match races between two sailing yachts. One yacht, known as the defender, represents the yacht club that currently holds the America's Cup and the second yacht, known as the challenger, represents the yacht club that is challenging for the cup. The timing of each match is determined by an agreement between the defender and the challenger. The America's Cup is the oldest international sporting trophy.
The trophy was originally awarded in 1851 by the Royal Yacht Squadron for a race around the Isle of Wight in England, which was won by the schooner America. The trophy was renamed the America's Cup after the yacht and was donated to the New York Yacht Club (NYYC) under the terms of the Deed of Gift, which made the cup available for perpetual international competition.
Any yacht club that meets the requirements specified in the Deed of Gift has the right to challenge the yacht club that holds the Cup. If the challenging club wins the match, it gains stewardship of the cup.
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