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# All Words Glossary

Glossary of Math Terms
beginning with letter G
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 game theory  noun
1. (context, mathematics, economics) A branch of applied mathematics that studies strategic situations in which individuals or organisations choose various actions in an attempt to maximize their returns.
 generation  noun
1. The act of generating or begetting; procreation, as of animals.
2. Origination by some process, mathematical, chemical, or vital; production; formation; as, the of sounds, of gases, of curves, etc
3. That which is generated or brought forth; progeny; offspring.
4. A period of around thirty years, the average amount of time before a child takes the place of its parents.
5. A single step or stage in the succession of natural descent; a rank or remove in genealogy, or collectively the body of people who are of the same genealogical rank or remove from an ancestor; the mass of beings living at one time.
Quotations
• This is the book of the generations of Adam - Genesis 5:1
• Ye shall remain there in Babylon many years, and for a long season, namely, seven generations - Baruch 6:3
• All generations and ages of the Christian church - Hooker
1. Race; kind; family; breed; stock.
Quotations
Thy mother's of my ; what's she, if I be a dog? - Shakespeare, Timon of Athens, I-iii
1. (geometry) The formation or production of any geometrical magnitude, as a line, a surface, a solid, by the motion, in accordance with a mathematical law, of a point or a magnitude; as, the of a line or curve by the motion of a point, of a surface by a line, a sphere by a semicircle, etc.
2. (biology) "The aggregate of the functions and phenomena which attend reproduction.
There are four modes of generation in the animal kingdom: scissiparity or by fissiparous generation, gemmiparity or by budding, germiparity or by germs, and oviparity or by ova"
 generatrix  noun Latin plural: generatrices<br>
English plural:
Generatrixes
1. (Geometry): That which generates; the point, or the mathematical magnitude, which, by its motion, generates another magnitude, as a line, surface, or solid; -- called also describent
 geodesic  noun
1. (mathematics) the shortest line between two points on a specific surface
adjective
1. of or relating to geodesy
2. of or relating to a geodesic dome
 geodesy  noun
1. the scientific discipline that deals with the measurement and representation of the earth, its gravitational field and geodynamic phenomena (polar motion, earth tides, and crustal motion) in three-dimensional, time-varying space.
 geodetic  adjective
1. of, or relating to geodesy; geodesic
 geometric  adjective
1. Of, or relating to geometry
2. Increasing or decreasing in a geometric progression
3. Using simple shapes such as circles, triangles and lines in a decorative object
 geometric mean  noungeometic mean
1. (mathematics) The measure of central tendency of a set of n values computed by extracting the nth root of the product of the values.
The geometric mean of 2, 4 and 1 is $\sqrt3{2 \times 4 \times 1}$ = 2
 geometric progression  noun (pluralgeometric progressions)
1. (analysis) A sequence in which each term except the first is obtained from the previous by multiplying it by a constant value, known as the common ratio of the arithmetic progression.
 geometric series  noun
1. (analysis) The sum of the terms of a geometric progression.
 geometry  noun (geometries, -)
1. (mathematics) (uncountable) The branch of mathematics dealing with spatial relationships.
2. (mathematics) (countable) A type of geometry with particular properties.
spherical geometry
1. (countable) The spatial attributes of an object, etc.
 given  noun
1. A condition that is assumed to be true without further evaluation.
verb
1. (past participle of, give)
 gnomon  noun
1. The pointer on a sundial.
2. (geometry) A plane figure formed by removing a parallelogram from a corner of a larger parallelogram.
 go  noun
1. A turn at something.
You"ve been on it long enough"now let your brother have a .
1. A turn in a game.
It"s your .
1. An attempt.
I"ll give it a .
1. An approval to do something or a something that has been approved to do.
We will begin as soon as the boss says it's a .
 golden mean  nounPoetic and philosophical usages
1. A position of precise balance between good and evil. Eloquently expressed by Horace (Odes II - 10):
:: Auream quisquis mediocritatem diligit, tutus caret obsoleti sordibus tecti, caret invidenda, sobrius aula. (He who chooses the golden mean safely avoids both the hovel and the palace).
 googolplex  noun
1. the number $10^{10^{100}}$, ten to the power of a googol
verb (googolplexes, googolplexing, googolplexed)
1. to increase by an extremely large number
 grade  noun
1. A rating.
I gave him a good for effort.
1. A degree or level of something; a position within a scale; a degree of quality.
This fine- coin from 1837 is worth a good amount.
1. A slope (up or down) of a roadway or other passage
''The of this hill is more than 5 percent
1. A level of pre-collegiate education
Clancy is entering the fifth this year.
1. An area that has been graded by a grader (construction machine)
2. The level of the ground.
This material absorbs moisture and is probably not a good choice for use below .
verb (grades, grading, graded)
1. To score an academic test.
2. To assign a score to overall academic performance.
3. To flatten and even out or smooth a large surface.
 graph  noun
1. (mathematics) A diagram displaying data, in particular one showing the relationship between two or more variables; specifically, for a function $f(x_1, x_2, \ldots, x_n)$, the set of all tuples $(x_1, x_2, \ldots, x_n, f(x_1, x_2, \ldots, x_n))$.
2. (graphtheory) An ordered pair $(V,E)$, where $V$ is a set of elements called vertex, vertices (or nodes) and $E$ is a set of pairs of elements of $V$, called edges; informally, a set of vertices together with a set edges that join these vertices.
 graphic  noun
1. a drawing or picture
2. (in the plural) computer generated images as viewed on a screen forming part of a game or a film etc.
I've just played this new computer game, the graphics are amazing.
adjective
1. drawn, pictorial
2. vivid, descriptive
3. grotesque or otherwise repulsive gory
 graph theory  noun (uncountable)
1. (mathematics) The study of the properties of graphs (in the sense of sets of vertices and sets of ordered or unordered pairs of vertices).
 great circle  noun
1. A circle defined as the intersection of the surface of a sphere and a plane which passes through the centre of the sphere.
2. The shortest distance between two points on the surface of a sphere.
 greatest common divisor  noun (abbreviated as gcd)
1. The of a set is the largest positive integer that divides each of the numbers in the set without remainder.
• The greatest common divisor of 66, 30 and 18 is 6.
 group  noun
1. A number of things or persons being in some relation to one another.
There is a of houses behind the hill.
A of people gathered in front of the Parliament to demonstrate against the Prime Minister's proposals.
He left town to join a Communist
1. (grouptheory) A set with an associative binary operation, under which there exists an identity element, and such that each element has an inverse.
2. A (usually small) group of people who perform music together.
Did you see the new jazz ?
1. (astronomy) A small number (up to about fifty) of galaxy, galaxies that are near each other.
2. (chemistry) A column in the periodic table of chemical elements.
3. (chemistry) A functional entity consisting of certain atoms whose presence provides a certain property to a molecule, such as the methyl group.
4. (sociology) A subset of a culture or of a society.
5. (military) An air force formation.
6. (geology) A collection of formations or rock strata.
7. (computing) In the Unix operating system, a number of users with same rights with respect to accession, modification, and execution of files, computers and peripherals.
verb
1. (transitive) To put together to form a group.
 group theory  noun (uncountable)
1. (math) The mathematical theory of groups.

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