Search references for QUOTIENT STACK. Phrases containing QUOTIENT STACK
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algebraic geometry, a quotient stack is a stack that parametrizes equivariant objects. Geometrically, it generalizes a quotient of a scheme or a variety
Quotient_stack
Type of object in algebraic geometry
associated quotient stack is equivalent to F. See groupoid scheme for details. Local quotient structure. Étale-locally on the base, a Deligne–Mumford stack is
Deligne–Mumford_stack
Generalisation of a sheaf; a fibered category that admits effective descent
Algebraic stack Chow group of a stack Deligne–Mumford stack Glossary of algebraic geometry Pursuing Stacks Quotient space of an algebraic stack Ring of
Stack_(mathematics)
{Bun} _{G}(X)} as the quotient stack of the space of holomorphic connections on X by the gauge group. Replacing the quotient stack (which is not a topological
Moduli stack of principal bundles
Moduli_stack_of_principal_bundles
Generalization of algebraic spaces or schemes
the stack B G {\displaystyle BG} is algebraictheorem 6.1. Gerbe Chow group of a stack Cohomology of a stack Quotient stack Sheaf on an algebraic stack Toric
Algebraic_stack
[X/G] The quotient stack of, say, an algebraic space X by an action of a group scheme G. X / / G {\displaystyle X/\!/G} The GIT quotient of a scheme
Glossary of algebraic geometry
Glossary_of_algebraic_geometry
In algebraic geometry, an affine GIT quotient, or affine geometric invariant theory quotient, of an affine scheme X = Spec A {\displaystyle X=\operatorname
GIT_quotient
Topics referred to by the same term
of an algebraic stack Quotient metric space Quotient object This disambiguation page lists articles associated with the title Quotient space. If an internal
Quotient_space
of taking GIT quotients with that of taking quotient stacks. Consequently, a toric variety is a coarse approximation of a toric stack. A toric orbifold
Toric_stack
In algebraic geometry, the quotient space of an algebraic stack F, denoted by |F|, is a topological space which as a set is the set of all integral substacks
Quotient space of an algebraic stack
Quotient_space_of_an_algebraic_stack
Concept in algebraic geometry
geometry, the Chow group of a stack is a generalization of the Chow group of a variety or scheme to stacks. For a quotient stack X = [ Y / G ] {\displaystyle
Chow_group_of_a_stack
Algebraic topology theory
can define the moduli stack of principal bundles Bun G ( X ) {\displaystyle \operatorname {Bun} _{G}(X)} as the quotient stack [ Ω / G ] {\displaystyle
Equivariant_cohomology
Reduction of a ring by one of its ideals
{\displaystyle \cdot } operations. Quotient ring notation almost always uses a fraction slash " / {\displaystyle /} "; stacking the ring over the ideal using
Quotient_ring
Algebraic stack in mathematics
'\end{aligned}}} Then, the moduli stack of elliptic curves over C {\displaystyle \mathbb {C} } is given by the stack quotient M 1 , 1 ≅ [ SL 2 ( Z ) ∖ h ]
Moduli stack of elliptic curves
Moduli_stack_of_elliptic_curves
stabilizers", M / G {\displaystyle M/G} becomes instead an orbifold (or quotient stack). An application of this principle is the Borel construction from algebraic
Lie_group_action
sheaves on the quotient stack [ X / G ] {\displaystyle [X/G]} . (Hence, the equivariant K-theory is a specific case of the K-theory of a stack.) A version
Equivariant algebraic K-theory
Equivariant_algebraic_K-theory
Generalization of a scheme
stacks. In the category of stacks we can form even more quotients by group actions than in the category of algebraic spaces (the resulting quotient is
Algebraic_space
Generalization of algebraic variety
action of an algebraic group G on an algebraic variety X determines a quotient stack [X/G], which remembers the stabilizer subgroups for the action of G
Scheme_(mathematics)
Property of a mathematical space
algebraic group of dimension n {\displaystyle n} acting on V, then the quotient stack [ V / G ] {\displaystyle [V/G]} has dimension m − n {\displaystyle m-n}
Dimension
Related Areas (2)), 34. Springer-Verlag, Berlin, 1994. xiv+292 pp. MR 1304906 ISBN 3-540-56963-4 Quotient by an equivalence relation Quotient stack v t e
Categorical_quotient
theory of Teichmüller space Quotient stack - in a sense, this is the ultimate answer to the problem. Roughly, a "quotient prestack" is the category of
Group-scheme_action
Computes the Euler characteristic of an orbifold
the formula is known to follow from the Riemann–Roch formula for quotient stacks. Tetsuro Kawasaki. The Riemann-Roch theorem for complex V-manifolds
Kawasaki's Riemann–Roch formula
Kawasaki's_Riemann–Roch_formula
Geometric space whose points represent algebro-geometric objects of some fixed kind
scheme Deformation theory GIT quotient Artin's criterion, general criterion for constructing moduli spaces as algebraic stacks from moduli functors Moduli
Moduli_space
Concept in differential geometry
equivalence. Differentiable stacks are particularly useful to handle spaces with singularities (i.e. orbifolds, leaf spaces, quotients), which appear naturally
Differentiable_stack
coarser than the Chow group of a stack. The cohomology of a quotient stack (e.g., classifying stack) can be thought of as an algebraic counterpart of equivariant
Cohomology_of_a_stack
Type of mathematical object
theory GIT quotient Groupoid scheme Group-scheme action Group-stack Invariant theory Quotient stack Raynaud, Michel (1967), Passage au quotient par une relation
Group_scheme
Algebraic variety containing an algebraic torus
Gordan's lemma Toric ideal Toric stack (roughly this is obtained by replacing the step of taking a GIT quotient by a quotient stack) Toroidal embedding Cox, David
Toric_variety
information than the set-theoretic quotient X / G {\displaystyle X/G} . A quotient stack is an instance of this construction (perhaps up to stackification).
Simplicial_diagram
Construct in mathematics
taking an element s ∈ A {\displaystyle s\in A} . Then, the stack is given by the stack quotient ( L , s ) / S r = [ Spec ( B ) / μ r ] {\displaystyle {\sqrt[{r}]{(L
Gerbe
Scheme in algebraic geometry
considering the quotient as a continuation of the previous sequence as a triangle in some triangulated category. This is because the local stack quotient [ N U
Normal cone (algebraic geometry)
Normal_cone_(algebraic_geometry)
Just as there is a moduli stack of elliptic curves over C {\displaystyle \mathbb {C} } constructed as a stacky quotient of the upper-half plane by the
Moduli_of_abelian_varieties
American mathematician and professor
with Edidin, D; Hassett, B; Vistoli, A (2001). Brauer groups and quotient stacks. American Journal of Mathematics, 123(4):761-777. Gromov-Witten invariants
Andrew_Kresch
Concept in mathematics
Equivariant algebraic K-theory Equivariant bundle Equivariant cohomology Quotient stack MFK 1994, Ch 1. § 3. Definition 1.6. Gaitsgory 2005, § 6. MFK 1994,
Equivariant_sheaf
yields the correct (virtual) dimension of the quotient stack. In particular, if we look at the moduli stack of principal G {\displaystyle G} -bundles, then
Derived_scheme
Algebraic geometry category satisfying lifting conditions
[X/G]^{pre}} , since, as it turns out, the stackification of it is the quotient stack [ X / G ] {\displaystyle [X/G]} . The construction is a special case
Prestack
Division method
of the standard long division tableau – except that the partial quotients are stacked up on the top of each other above the long division sign, and that
Chunking_(division)
Portuguese bicycle racer
jersey battle". Cycling News. Retrieved 2 June 2026. Afonso Eulálio at UCI Afonso Eulálio at ProCyclingStats Afonso Eulálio at Cycling Quotient v t e
Afonso_Eulálio
Theorem in geometry
groups is equivalent in many situations to the Riemann–Roch theorem for quotient stacks by finite groups. One of the significant applications of the theorem
Riemann–Roch-type_theorem
Geometric space
H_{g}} is irreducible. From the general theory of algebraic stacks, this implies the stack quotient M g {\displaystyle {\mathcal {M}}_{g}} is irreducible.
Moduli_of_algebraic_curves
Topics referred to by the same term
topological manifolds Top (algebra), in module theory, the largest semisimple quotient of a module Top, written ⊤ or 1, in lattice theory, the greatest element
Top
Esoteric programming language
pertaining to basic arithmetic are recognized as operations, such as "sum", "quotient", and "cube". A sentence that assigns a value to a character starts with
Shakespeare Programming Language
Shakespeare_Programming_Language
Minicomputer product line
– MQA – Multiplier Quotient with AC (logical or MQ into AC) 7441 – SCA – Step counter load into AC 7421 – MQL – Multiplier Quotient Load (Transfer AC to
PDP-8
Conrad, Brian (2005), The Keel–Mori theorem via stacks (PDF) Keel, Seán; Mori, Shigefumi (1997), "Quotients by groupoids", Annals of Mathematics, 2, 145
Keel–Mori_theorem
Quotient of two integers
mathematics, a rational number is a number that can be expressed as the quotient or fraction p q {\displaystyle {\tfrac {p}{q}}} of two integers, a
Rational_number
Mathematical concept
In mathematics, the quotient (also called Serre quotient or Gabriel quotient) of an abelian category A {\displaystyle {\mathcal {A}}} by a Serre subcategory
Quotient of an abelian category
Quotient_of_an_abelian_category
Data organization and storage formats
PQ tree Approximate Membership Query Filter Bloom filter Cuckoo filter Quotient filter Count–min sketch Distributed hash table Double hashing Dynamic perfect
List_of_data_structures
Group of mathematical theorems
isomorphism theorems) are theorems that describe the relationship among quotients, homomorphisms, and subobjects. Versions of the theorems exist for groups
Isomorphism_theorems
Type of integrable system
{\mathfrak {g}}} . We can then take the stack quotient g / G {\displaystyle {\mathfrak {g}}/G} and the GIT quotient g / / G {\displaystyle {\mathfrak {g}}/\
Hitchin_system
This should be understood as a GIT quotient. In a more general setting, one can speak of a weighted projective stack. See https://mathoverflow.net/questions/136888/
Weighted_projective_space
Generalized manifold
of an orbifold Geometric quotient Kawasaki's Riemann–Roch formula Orbifold notation Orientifold Ring of modular forms Stack (mathematics) Satake 1956
Orbifold
Submodule of a mathematical ring
used to construct a quotient ring in a way similar to how, in group theory, a normal subgroup can be used to construct a quotient group. Among the integers
Ideal_(ring_theory)
List of x86 microprocessor instructions
to be issued as a trap-type exception (the value of CS:IP stored on the stack points to the instruction following the BOUND instruction), while on 80286
List_of_x86_instructions
Second-highest constitutional office in India
dividing the total number of valid cast votes by two and adding one to the quotient by disregarding any remainder. If no candidate obtains the required number
Vice_President_of_India
Algebraic geometry
In mathematics, given a G-torsor X → Y and a stack F, the descent along torsors says there is a canonical equivalence between F(Y), the category of Y-points
Descent_along_torsors
Mathematical investigation of Sudoku
Sudokus and related tables of numbers. Namely, one has to take subgroups and quotient groups into account: Take for example Z n ⊕ Z n {\displaystyle \mathbb
Mathematics_of_Sudoku
are similar examples given by taking the quotient of the group scheme Gm by an infinite subgroup, or the quotient of the complex numbers by a lattice. Grothendieck
Quasi-separated_morphism
Topics referred to by the same term
to specific DNA sequences Factor (programming language), a concatenative stack-oriented programming language Factor (Unix), a utility for factoring an
Factor
Set with associative invertible operation
called a quotient group or factor group. The quotient group can alternatively be characterized by a universal property. The elements of the quotient group
Group_(mathematics)
Quotient of a weakly contractible space by a free action
homotopy theory, a classifying space BG of a topological group G is the quotient of a weakly contractible space EG (i.e., a topological space all of whose
Classifying_space
Quickly accessible working storage available as part of a digital processor
The stack and frame pointers are used to manage the call stack. Rarely, other data stacks are addressed by dedicated address registers (see stack machine)
Processor_register
Instruction set architecture developed by Digital Equipment Corporation
program counter (PC). Although any register can be used as a stack pointer, R6 is the stack pointer (SP) used for hardware interrupts and traps. R5 is often
PDP-11_architecture
How software progresses through its implementation
control-flow integrity techniques, including stack canaries, buffer overflow protection, shadow stacks, and vtable pointer verification, are used to
Control_flow
ternary operator actually have the same precedence as assignment operators?". Stack Overflow. Retrieved 22 September 2019. "Other operators - cppreference.com"
Operators_in_C_and_C++
early experimentation with lazy evaluation. An implementation based on a stack, environment, control, dump virtual machine and abstract machine (SECD machine)
Lispkit_Lisp
Topological space that is connected
identify them at every point except zero. The resulting space, with the quotient topology, is totally disconnected. However, by considering the two copies
Connected_space
Branch of mathematics
them (e.g. by gluing along localizations or taking noncommutative stack quotients). For example, noncommutative algebraic geometry is supposed to extend
Noncommutative algebraic geometry
Noncommutative_algebraic_geometry
Module over a ring
this condition is the zero module. Over a commutative ring R with total quotient ring K, a module M is torsion-free if and only if Tor1(K/R,M) vanishes
Torsion-free_module
Tool to track locally defined data attached to the open sets of a topological space
a subsheaf of a sheaf F {\displaystyle F} of abelian groups, then the quotient sheaf Q {\displaystyle Q} is the sheaf associated to the presheaf U ↦ F
Sheaf_(mathematics)
Annihilator of a simple module
primitive ideals are always two-sided ideals. Primitive ideals are prime. The quotient of a ring by a left primitive ideal is a left primitive ring. For commutative
Primitive_ideal
Algebraic variety
Riemann surface, or the corresponding algebraic curve, constructed as a quotient of the complex upper half-plane H by the action of a congruence subgroup
Modular_curve
Property of topological space
regularity and T3-ness are related by Kolmogorov quotients. A space is regular if and only if its Kolmogorov quotient is T3; and, as mentioned, a space is T3 if
Regular_space
is an integral domain A {\displaystyle A} whose integral closure in its quotient field is a finitely generated A {\displaystyle A} -module. It is called
Nagata_ring
Instruction set architecture
(in $ra) to the stack. On both O32 and N32/N64, the stack grows downwards, but the N32/N64 ABIs require 64-bit alignment for all stack entries. The frame
MIPS_architecture
Topological space that locally resembles Euclidean space
point, forming a quotient space. There is, however, no reason to expect such quotient spaces to be manifolds. Among the possible quotient spaces that are
Manifold
Operation in group theory
natural projection π : G → G/N induces an isomorphism between H and the quotient group G/N. There exists a homomorphism G → H that is the identity on H
Semidirect_product
Divergent sum of positive unit fractions
connected components of random graphs, the block-stacking problem on how far over the edge of a table a stack of blocks can be cantilevered, and the average
Harmonic_series_(mathematics)
Concept in category theory
fibred categories originally appeared. Fibered categories are used to define stacks, which are fibered categories (over a site) with "descent". Fibrations also
Fibred_category
48th PBA season
head-to-head goal average (quotient); if tied for 8th, one-game playoff; 3) overall quotient; 4) coin toss Notes: Head-to-head quotient: San Miguel 1.17, Barangay
2023–24_PBA_season
Mathematical group with trivial abelianization
commutator subgroup, or equivalently, if the group has no non-trivial abelian quotients. The smallest (non-trivial) perfect group is the alternating group A5
Perfect_group
Category with direct sums and certain types of kernels and cokernels
of f, while the monomorphism is called the image of f. Subobjects and quotient objects are well-behaved in abelian categories. For example, the poset
Abelian_category
Mathematical set with some added structure
action fixes this point. In the quotient DM stack, however, this point comes with the extra data of being a quotient. This kind of refined structure is
Space_(mathematics)
Error-detecting code for detecting data changes
long division, which takes the message as the dividend and in which the quotient is discarded and the remainder becomes the result. The important caveat
Cyclic_redundancy_check
RISC instruction set architecture
64-bit signed quotient, and UDIVX, which divides a 64-bit unsigned dividend by a 64-bit unsigned divisor and produces a 64-bit signed quotient; none of those
SPARC
Used to sample the intellectual growth of infants and toddlers
minutes to administer and derives a developmental quotient (DQ) rather than an intelligence quotient (IQ). Raw scores of successfully completed items are
Bayley Scales of Infant Development
Bayley_Scales_of_Infant_Development
Group in which the order of every element is a power of p
largest normal p-subgroup), and various others. As quotients, the largest p-group quotient is the quotient of G by the p-residual subgroup O p ( G ) . {\displaystyle
P-group
Topological space characterized by sequences
}\right)\to f(x)} ). X {\displaystyle X} is the quotient of a first-countable space. X {\displaystyle X} is the quotient of a metric space. By taking Y = X {\displaystyle
Sequential_space
Finest topology making some functions continuous
continuous. The quotient topology on a quotient space is a final topology, with respect to a single surjective function, namely the quotient map. The disjoint
Final_topology
American cyclist
three-year deal". Cycling News. Retrieved December 3, 2023. Riley Sheehan at UCI Riley Sheehan at ProCyclingStats Riley Sheehan at Cycling Quotient v t e
Riley_Sheehan
Algebraic geometry scheme
A variety X with quotient singularities over a field of characteristic zero is Cohen–Macaulay, and KX is Q-Cartier. The quotient variety of a vector
Gorenstein_scheme
Mathematical expression
convergence problem. "An alternative way to calculate $\log(x)$". Mathematics Stack Exchange. Borwein, Crandall & Fee 2004, p. 278, 280. Beckmann 1971. Angell
Continued_fraction
One-dimensional complex manifold
{\displaystyle \mathbb {C} } itself; The quotient C / Z {\displaystyle \mathbb {C} /\mathbb {Z} } ; A quotient C / ( Z + τ Z ) {\displaystyle \mathbb {C}
Riemann_surface
Properties of mathematical functions
mapping to a given fixed image, every surjection induces a bijection from a quotient set of its domain to its codomain. More precisely, the preimages under
Bijection, injection and surjection
Bijection,_injection_and_surjection
Topological space in which all singleton sets are closed
distinguishable). A topological space is an R0 space if and only if its Kolmogorov quotient is a T1 space. If X {\displaystyle X} is a topological space then the following
T1_space
Mathematical concept
group G {\displaystyle G} acts properly discontinuously and with compact quotient (such an action is often called geometric) on a proper length space Y {\displaystyle
Hyperbolic_group
values to return a quotient or floating-point result. Base instruction 0x5C div.un Divide two values, unsigned, returning a quotient. Base instruction
List_of_CIL_instructions
Integration method to calculate volume
revolution. This method models the resulting three-dimensional shape as a stack of an infinite number of discs of varying radius and infinitesimal thickness
Disc_integration
Species of beetle
Within the figeater beetle's cuticle, twisted fibers are arranged in stacked layers. When light hits those layers, it bends and creates a distinct iridescent
Figeater_beetle
Series of 32 bit CISC microprocessors
ability Larger multiply (32×32 → 64 bits) and divide (64÷32 → 32 bits quotient and 32 bits remainder) instructions, and bit field manipulations Addressing
Motorola_68000_series
Numbers obtained by adding the two previous ones
retrieved 2007-02-23 Williams, H. C. (1982), "A note on the Fibonacci quotient F p − ε / p {\displaystyle F_{p-\varepsilon }/p} ", Canadian Mathematical
Fibonacci_sequence
Ruled surface over the projective line
One method for constructing the Hirzebruch surface is by using a GIT quotient: Σ n = ( C 2 − { 0 } ) × ( C 2 − { 0 } ) / ( C ∗ × C ∗ ) {\displaystyle
Hirzebruch_surface
QUOTIENT STACK
QUOTIENT STACK
Surname or Lastname
English (mainly West Midlands)
English (mainly West Midlands) : probably a habitational name from a place so named in North Yorkshire.
Surname or Lastname
German (of Slavic origin)
German (of Slavic origin) : from a pet form of the personal name Pavel or Paweł, respectively the Czech and Polish forms of Paul, or from a Sorbian cognate.German (of Slavic origin) : nickname for a small man, from Slavic palac ‘thumb’.Irish : MacLysaght ascribes the origin of this surname in Ireland to the arrival there in the 15th century of a Lombard family of bankers named de Palatio.English : from Old French palis, paleis ‘palisade’, ‘fence’, hence a topographic name for someone who lived by a palisade or a metonymic occupational name for a maker of fences.English : possibly a metonymic occupational name for someone who worked at a palace (bishop’s, archbishop’s, or royal), from Old French, Middle English palais, paleis.English : metonymic occupational name for a worker at a straw stack, from Old French paille ‘straw’ + Middle English hous ‘house’.Greek : ornamental name or nickname from Albanian pallë ‘sword’.Catalan (Pallà s) : variant spelling of Pallars, a regional name from the Catalan district of Pallars, in the Pyrenees.
Surname or Lastname
English
English : topographic name for someone who lived near a heap of some kind, from Middle English reke ‘stack’, ‘heap’.German : from Radeke, a pet form of a Germanic personal name formed with rÄd ‘advice’, ‘counsel’.Altered spelling of German Reeck.
Boy/Male
Gujarati, Indian, Jain, Marathi
Lotus Stack
Surname or Lastname
English
English : nickname for a large, well-built man, from Middle English stack ‘haystack’ (from Old Norse stakkr). The surname is now less common in England than in Ireland (especially County Kerry), where it was first taken in the 13th century; it has been Gaelicized Stac.German : variant of Staack.Americanized form of Polish or Czech Stach.
Surname or Lastname
English
English : topographic name for someone who lived at a place where wood was stacked, from Old English wudu ‘wood’ + fīn ‘pile’.
Girl/Female
Tamil
Lotus stack
Girl/Female
Muslim/Islamic
She was a female companion (R.A) and also a muhajirah who migrated to Madinah; she also narrated a Hadith quoting the Prophet; "Apply yourself to glorifying Allah, saying there is not God but He and
Surname or Lastname
English
English : habitational name from Stockhow in Cumbria, first attested in 1581 as Stackay.
Girl/Female
Hindu, Indian, Kannada, Marathi, Sanskrit, Telugu
Lotus Stack; Intelligent; Princess
Surname or Lastname
Norwegian
Norwegian : habitational name from any of several farmsteads, so named from Old Norse hlað ‘pile or stack’ (for example, of wood or stones) or ‘pavement’.North German : short form of Ladwig, a variant of Ludwig.English : topographic name for someone living by a road, path, or watercourse, Middle English lade, lode (Old English (ge)lÄd).
Surname or Lastname
English
English : variant or patronymic form of Stack.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Lotus Stack
QUOTIENT STACK
QUOTIENT STACK
Boy/Male
American, Australian, Chinese, French, German, Greek, Latin, Swedish
Greatest
Boy/Male
Tamil
Phanibhushan | பாநீபà¯à®·à®¨
Lord Shiva
Girl/Female
Christian & English(British/American/Australian)
She Who Blesses
Girl/Female
Tamil
Aparajitha | அபராஜீதா
One of the kauravas, Unconquerable woman, Undefeated or name of a flower
Boy/Male
Indian
Healty
Boy/Male
Sikh
Completely colorful and musical
Boy/Male
Hindu
Lord Rama
Girl/Female
Hindu, Indian, Thai
Good Attitude
Boy/Male
Hindu, Indian, Malayalam, Marathi, Telugu
Good; A Vedic Composition
Girl/Female
Arabic, Australian, Muslim
Goddess
QUOTIENT STACK
QUOTIENT STACK
QUOTIENT STACK
QUOTIENT STACK
QUOTIENT STACK
n.
The quotient of a unit divided by eighty; one of eighty equal parts.
n.
The act of quoting or citing.
n.
The result of any process inverse to multiplication. See the Note under Multiplication.
n.
One ready in quoting texts.
n.
The relation of an object to number.
n.
The quotient of a unit divided by twenty; one of twenty equal parts of one whole.
n.
One of fifty equal parts; the quotient of a unit divided by fifty.
n.
The quotient of a unit divided by nineteen; one of nineteen equal parts of anything.
n.
A rent reserved in grants of land, by the payment of which the tenant is quit from other service.
n.
The quotient of unity divided by a decillion.
n.
The quotient of a unit divided by ninety; one of ninety equal parts of anything.
p. pr. & vb. n.
of Quote
n.
One of fifteen equal parts or divisions; the quotient of a unit divided by fifteen.
a.
Pertaining to a decillion, or to the quotient of unity divided by a decillion.
n.
The quotient of a unit divided by thirty; one of thirty equal parts.
n.
The quotient of a unit divided by eleven; one of eleven equal parts.
n.
The quotient of a unit divided by one million; one of a million equal parts.
n.
The number resulting from the division of one number by another, and showing how often a less number is contained in a greater; thus, the quotient of twelve divided by four is three.
n.
The quotient of a unit divided by seventy; one of seventy equal parts or fractions.
n.
The quotient of a unit divided by eighteen; one of eighteen equal parts or divisions.