Degree (graph Theory), Valence
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Degree may refer to:


As a unit of measurement

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Degree (angle) A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane (mathematics), plane angle in which one Turn (geometry), full rotation is 360 degrees. It is not an SI unit� ...
, a unit of angle measurement ** Degree of geographical
latitude In geography, latitude is a coordinate that specifies the north– south position of a point on the surface of the Earth or another celestial body. Latitude is given as an angle that ranges from –90° at the south pole to 90° at the north pol ...
** Degree of geographical
longitude Longitude (, ) is a geographic coordinate that specifies the east–west position of a point on the surface of the Earth, or another celestial body. It is an angular measurement, usually expressed in degrees and denoted by the Greek letter l ...
* Degree symbol (°), a notation used in science, engineering, and mathematics * Degree (temperature), any of various units of temperature measurement *
Degree API The American Petroleum Institute gravity, or API gravity, is a measure of how heavy or light a petroleum liquid is compared to water: if its API gravity is greater than 10, it is lighter and floats on water; if less than 10, it is heavier and sinks ...
, a measure of density in the petroleum industry *
Degree Baumé Degree may refer to: As a unit of measurement * Degree (angle), a unit of angle measurement ** Degree of geographical latitude ** Degree of geographical longitude * Degree symbol (°), a notation used in science, engineering, and mathematics ...
, a pair of density scales *
Degree Brix Degrees Brix (symbol °Bx) is a measure of the dissolved solids in a liquid, and is commonly used to measure dissolved sugar content of an aqueous solution. One degree Brix is 1 gram of sucrose in 100 grams of solution and represents the strength ...
, a measure of sugar concentration * Degree Gay-Lussac, a measure of the alcohol content of a liquid by volume, ranging from 0° to 100° *
Degree proof Alcohol proof (usually termed simply "proof" in relation to a beverage) is a measure of the content of ethanol (alcohol) in an alcoholic beverage. The term was originally used in England and was equal to about 1.8 times the percentage of alcohol ...
, or simply proof, the alcohol content of a liquid, ranging from 0° to 175° in the UK, and from 0° to 200° in the U.S. *
Degree of curvature Degree of curve or degree of curvature is a measure of curvature of a circular arc used in civil engineering for its easy use in layout surveying. Definition The degree of curvature is defined as the central angle to the ends of an agreed length ...
, a unit of curvature measurement, used in civil engineering * Degrees of freedom (mechanics), the number of displacements or rotations needed to define the position and orientation of a body * Degrees of freedom (physics and chemistry), a concept describing dependence on a countable set of parameters * Degree of frost, a unit of temperature measurement * Degrees Lintner, a measure of enzymatic activity *
Degrees Lovibond When drinking beer, there are many factors to be considered. Principal among them are bitterness, the variety of flavours present in the beverage and their intensity, alcohol content, and colour. Standards for those characteristics allow a more ...
, a measure of transparency * Degree of unsaturation, in organic chemistry, also known as the index of hydrogen deficiency or rings plus double bonds *
dGH Degrees of general hardness (dGH or °GH) is a unit of water hardness, specifically of general hardness. General hardness is a measure of the concentration of divalent metal ions such as calcium (Ca2+) and magnesium (Mg2+) per volume of water. S ...
, degrees of general hardness of water * Degree of
carbonate hardness Carbonate hardness, is a measure of the water hardness caused by the presence of carbonate () and bicarbonate () anions. Carbonate hardness is usually expressed either in degrees KH (dKH) (from the German ''"Karbonathärte"''), or in ''parts per mi ...
of water (degree KH)


In mathematics

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Degree of a polynomial In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus i ...
, the exponent of its term with the highest exponent * Degree of a field extension * Degree of an
algebraic number field In mathematics, an algebraic number field (or simply number field) is an extension field K of the field of rational numbers such that the field extension K / \mathbb has finite degree (and hence is an algebraic field extension). Thus K is a f ...
, its degree as a field extension of the rational numbers * Degree of an algebraic variety *
Degree (graph theory) In graph theory, the degree (or valency) of a vertex of a graph is the number of edges that are incident to the vertex; in a multigraph, a loop contributes 2 to a vertex's degree, for the two ends of the edge. The degree of a vertex v is denote ...
, or valency, the number of edges incident to a vertex of a graph * Degree of a continuous mapping, a generalization of winding number *
Degrees of freedom Degrees of freedom (often abbreviated df or DOF) refers to the number of independent variables or parameters of a thermodynamic system. In various scientific fields, the word "freedom" is used to describe the limits to which physical movement or ...
, the number of parameters of a system that may vary independently *
Degree of a character In mathematics, more specifically in group theory, the character of a group representation is a function on the group that associates to each group element the trace of the corresponding matrix. The character carries the essential information about ...
in representation theory *
Degree of unsolvability In computer science and mathematical logic the Turing degree (named after Alan Turing) or degree of unsolvability of a set of natural numbers measures the level of algorithmic unsolvability of the set. Overview The concept of Turing degree is fund ...
in recursion theory *
Degree of a central simple algebra In ring theory and related areas of mathematics a central simple algebra (CSA) over a field ''K'' is a finite-dimensional associative ''K''-algebra ''A'' which is simple, and for which the center is exactly ''K''. (Note that ''not'' every simple a ...
*
Degree of a permutation group In mathematics, a permutation group is a group ''G'' whose elements are permutations of a given set ''M'' and whose group operation is the composition of permutations in ''G'' (which are thought of as bijective functions from the set ''M'' to its ...
, the number of elements that are permuted *
Degree of a differential equation Degree may refer to: As a unit of measurement * Degree (angle), a unit of angle measurement ** Degree of geographical latitude ** Degree of geographical longitude * Degree symbol (°), a notation used in science, engineering, and mathematics ...
, the power of the highest derivative therein * Degree of a th root


In education

Academic degree An academic degree is a qualification awarded to students upon successful completion of a course of study in higher education, usually at a college or university. These institutions commonly offer degrees at various levels, usually including unde ...
, an academic rank, title or award * Substantive degree ranks from lowest to highest **
Foundation degree A foundation degree is a combined academic and vocational qualification in higher education in the United Kingdom, equivalent to two-thirds of an honours bachelor's degree, introduced by the Department for Education and Employment in 2000. Founda ...
** Associate's degree **
Bachelor's degree A bachelor's degree (from Middle Latin ''baccalaureus'') or baccalaureate (from Modern Latin ''baccalaureatus'') is an undergraduate academic degree awarded by colleges and universities upon completion of a course of study lasting three to six ...
**
Master's degree A master's degree (from Latin ) is an academic degree awarded by universities or colleges upon completion of a course of study demonstrating mastery or a high-order overview of a specific field of study or area of professional practice.
**
Doctorate A doctorate (from Latin ''docere'', "to teach"), doctor's degree (from Latin ''doctor'', "teacher"), or doctoral degree is an academic degree awarded by universities and some other educational institutions, derived from the ancient formalism ''l ...
* Particular degrees (focus or method) **
Engineer's degree An engineer's degree is an advanced academic degree in engineering which is conferred in Europe, some countries of Latin America, North Africa and a few institutions in the United States. The degree may require a thesis but always requires a non-a ...
** Specialist degree ** Lambeth degree ** External degree **
Microdegree In higher education a microdegree, also microcredentials and micromasters, is a qualification focused upon a specified professional or career discipline and typically comprises one or more sources of accelerated educational experiences. Microdegr ...
* Honorary degrees **
Ad eundem degree An degree is an academic degree awarded by one university or college to an alumnus of another, in a process often known as incorporation. The recipient of the degree is often a faculty member at the institution which awards the degree, e.g. at ...
**
Honorary degree An honorary degree is an academic degree for which a university (or other degree-awarding institution) has waived all of the usual requirements. It is also known by the Latin phrases ''honoris causa'' ("for the sake of the honour") or ''ad hono ...
Vocational degree Vocational education is education that prepares people to work as a technician or to take up employment in a skilled craft or trade as a tradesman, tradesperson or artisan. Vocational Education can also be seen as that type of education give ...
, an award in vocational education


Other measures

* Degree (music), identification of a note in a scale by its relation to the tonic * Degree of inventiveness in inventions and patents *
Degree of separation Six degrees of separation is the idea that all people are six or fewer social connections away from each other. As a result, a chain of "friend of a friend" statements can be made to connect any two people in a maximum of six steps. It is also k ...
in connectivity between groups (''first degree'' is closest) *
Degree of relationship Laws regarding incest (i.e. sexual activity between family members or close relatives) vary considerably between jurisdictions, and depend on the type of sexual activity and the nature of the family relationship of the parties involved, as well ...
, in
kinship In anthropology, kinship is the web of social relationships that form an important part of the lives of all humans in all societies, although its exact meanings even within this discipline are often debated. Anthropologist Robin Fox says that ...
between individuals (''first degree'' is closest) **
Consanguinity Consanguinity ("blood relation", from Latin '' consanguinitas'') is the characteristic of having a kinship with another person (being descended from a common ancestor). Many jurisdictions have laws prohibiting people who are related by blood fr ...
, or level of kinship * Comparison (grammar) - degrees of comparison include positive, comparative, and superlative (e.g. "good", "better", and "best", respectively) * The severity of a crime, e.g., first degree murder (''first degree'' is worst) * The intensity of a burn (the higher the worse) * A level of
initiation Initiation is a rite of passage marking entrance or acceptance into a group or society. It could also be a formal admission to adulthood in a community or one of its formal components. In an extended sense, it can also signify a transformation ...
, often used in fraternal organizations * A ranking of
black belt Black Belt may refer to: Martial arts * Black belt (martial arts), an indication of attainment of expertise in martial arts * ''Black Belt'' (magazine), a magazine covering martial arts news, technique, and notable individuals Places * Black B ...
, in certain martial arts


People

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Asha Jaquilla Degree Asha Jaquilla Degree (; born August 5, 1990) went missing at the age of nine from Shelby, North Carolina, United States. In the early morning hours of February 14, 2000, for reasons unknown, she packed her bookbag, left her family home north of ...
(born 1990), an American child who went missing in 2000


Brands

* Da Degrees, Canadian record label and hip hop collective * Degree (deodorant), a brand of antiperspirant


Other uses

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Degree (freemasonry) Freemasonry or Masonry refers to fraternal organisations that trace their origins to the local guilds of stonemasons that, from the end of the 13th century, regulated the qualifications of stonemasons and their interaction with authorities ...
* Degree of Knights Templar (Freemasonry), a special case of a ''degree'' in freemasonry {{Disambiguation