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Generalisation of a sheaf; a fibered category that admits effective descent
In mathematics a stack or 2-sheaf is, roughly speaking, a sheaf that takes values in categories rather than sets. Stacks are used to formalise some of
Stack_(mathematics)
Expression which is not assigned an interpretation
Singularity - a point at which a mathematical function ceases to be well-behaved "What exactly does undefined mean?". Mathematics Stack Exchange. Retrieved 2024-12-02
Undefined_(mathematics)
Generalization of algebraic spaces or schemes
In mathematics, an algebraic stack is a vast generalization of algebraic spaces, or schemes, which are foundational for studying moduli theory. Many moduli
Algebraic_stack
Type of object in algebraic geometry
In algebraic geometry, a Deligne–Mumford stack is a stack that behaves, in many respects, like an algebraic variety or an orbifold, while still allowing
Deligne–Mumford_stack
Topics referred to by the same term
Look up Stack or stack in Wiktionary, the free dictionary. Stack may refer to: Stack Island, an island game reserve in Bass Strait, south-eastern Australia
Stack
quotient stacks (e.g., a Deligne–Mumford stack). A quotient stack is also used to construct other stacks like classifying stacks. A quotient stack is defined
Quotient_stack
Abstract data type
stack, return the value of the last element added (the item at the top of the stack). The name stack is an analogy to a set of physical items stacked
Stack_(abstract_data_type)
In mathematics, especially algebraic geometry and algebraic topology, a higher stack is a higher category generalization of a stack (a category-valued
Higher_stack
Mathematics notation where operators follow operands
operational stack and reverse Polish (Łukasiewicz) notation used in the HP-35 are the most efficient way known to computer science for evaluating mathematical expressions
Reverse_Polish_notation
cohomology of a stack is a generalization of étale cohomology. In a sense, it is a theory that is coarser than the Chow group of a stack. The cohomology
Cohomology_of_a_stack
Concept in differential geometry
differentiable stack is the analogue in differential geometry of an algebraic stack in algebraic geometry. It can be described either as a stack over differentiable
Differentiable_stack
Algebraic stack in mathematics
In mathematics, the moduli stack of elliptic curves, denoted as M 1 , 1 {\displaystyle {\mathcal {M}}_{1,1}} or M e l l {\displaystyle {\mathcal {M}}_{\mathrm
Moduli stack of elliptic curves
Moduli_stack_of_elliptic_curves
S2CID 5667546. Iwanari, I. (2009). "Integral Chow Rings of Toric Stacks". International Mathematics Research Notices. arXiv:0705.3524. doi:10.1093/imrn/rnp110
Toric_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
Gabriele (August 2011). "What is ... a Derived Stack?" (PDF). Notices of the American Mathematical Society. 58 (7): 955–958. Retrieved 4 March 2014
Derived_stack
Type of functor
In algebraic geometry, given algebraic stacks p : X → C , q : Y → C {\displaystyle p:X\to C,\,q:Y\to C} over a base category C, a morphism f : X → Y {\displaystyle
Morphism_of_algebraic_stacks
Tool to track locally defined data attached to the open sets of a topological space
constants". Mathematics Stack Exchange. Retrieved 2020-10-07. Hawley, Newton S. (1950). "A Theorem on Compact Complex Manifolds". Annals of Mathematics. 52 (3):
Sheaf_(mathematics)
French mathematician (1928–2014)
ring to be principal Scheme (mathematics) Section conjecture Semistable abelian variety Sheaf cohomology Stack (mathematics) Standard conjectures on algebraic
Alexander_Grothendieck
In algebraic geometry, a group stack is an algebraic stack whose categories of points have group structures or even groupoid structures in a compatible
Group_stack
Concept in algebraic geometry
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
Mathematical concept that extends the intuitive idea of gluing in topology
functor is an equivalence of categories. Grothendieck connection Stack (mathematics) Galois descent Grothendieck topology Fibered category Beck's monadicity
Descent_(mathematics)
Algebraic geometry category satisfying lifting conditions
the fibers are groupoids) locally isomorphic objects are isomorphic. A stack is a prestack with effective descents, meaning local objects may be patched
Prestack
In algebraic geometry, the moduli stack of formal group laws is a stack classifying formal group laws and isomorphisms between them. It is denoted by
Moduli stack of formal group laws
Moduli_stack_of_formal_group_laws
Object in algebraic geometry
potentially "fractional points" called stacky points. A stacky curve is a type of stack used in studying Gromov–Witten theory, enumerative geometry, and rings of
Stacky_curve
Latin and Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special
List of letters used in mathematics, science, and engineering
List_of_letters_used_in_mathematics,_science,_and_engineering
Network of Q&A sites based in New York City
created. In November 2010, Stack Exchange site topics in "beta testing" included physics, mathematics, and writing. Stack Exchange publicly launched in
Stack_Exchange
Mathematical set with some added structure
Kevin (August 2, 2012). "Difference between 'space' and 'mathematical structure'?". Stack Exchange. Bourbaki 1968, Chapter IV Itô 1993, page 987 Bourbaki
Space_(mathematics)
In mathematics and computer science, a stack-sortable permutation (also called a tree permutation) is a permutation whose elements may be sorted by an
Stack-sortable_permutation
Cyclic card stack used in magic tricks
The Si Stebbins stack is a cyclic mathematical card stack. It was popularized by the magician Si Stebbins, and can be constructed from a standard 52-card
Si_Stebbins_stack
Geometric space whose points represent algebro-geometric objects of some fixed kind
In mathematics, in particular algebraic geometry, a moduli space is a geometric space (usually a scheme or an algebraic stack) whose points represent algebro-geometric
Moduli_space
Open-source textbook on algebraic geometry
The Stacks Project is an open source collaborative mathematics textbook writing project with the aim to cover "algebraic stacks and the algebraic geometry
Stacks_Project
Mathematics question and answer website
is a part of the Stack Exchange Network, but distinct from math.stackexchange.com. It is primarily for asking questions on mathematics research – i.e.
MathOverflow
In mathematics, especially in differential and algebraic geometries, an inertia stack of a groupoid X is a stack that parametrizes automorphism groups
Inertia_stack
Performing order of mathematical operations
understanding of mathematical notation. Different calculators follow different orders of operations. Many simple calculators without a stack implement chain
Order_of_operations
Stack Exchange mathematician
2025, Cleo was revealed to be Vladimir Reshetnikov. On to Cleo's mathematics Stack Exchange (also known as Math.SE) profile, they presented themself
Cleo_(mathematician)
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Natural number
that a player can hold at once with normal methods, known as a "max cash stack". In similar cases, where an unsigned instead of signed 32-bit integer is
2,147,483,647
Mathematical puzzle game
move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod. No disk may be placed on top of
Tower_of_Hanoi
Divide and conquer sorting algorithm
ISBN 978-0-521-47465-8. Ďurian, Branislav. "Quicksort without a stack". Mathematical Foundations of Computer Science 1986: Proceedings of the 12th Symposium
Quicksort
Problem of stacking blocks to maximize overhang
et al., Maximum Overhang, The Mathematical Association of America, November 2009 Hall, J. F. (2005). "Fun with stacking blocks". American Journal of Physics
Block-stacking_problem
Algorithm to parse a syntax with infix notation to postfix notation
evaluation of RPN, the shunting yard algorithm is stack-based. Infix expressions are the form of mathematical notation most people are used to, for instance
Shunting_yard_algorithm
Generalization of covers
construct examples of orbifolds, or Deligne–Mumford stacks. Étale morphism Orbifold Stack (mathematics) Dimca, Alexandru (1992), Singularities and Topology
Branched_covering
Cross-platform reverse-Polish calculator program
five onto the stack, then, with the multiplication operator, pop two elements from the stack, multiply them and push the result onto the stack." Then the
Dc_(computer_program)
Mathematics of number-placement puzzle
Mathematics can be used to study Sudoku puzzles to answer questions such as "How many filled Sudoku grids are there?", "What is the minimal number of
Mathematics_of_Sudoku
Geometric space
as an algebraic stack. In many cases there is both a coarse moduli space, which records isomorphism classes of curves, and a finer stack that also keeps
Moduli_of_algebraic_curves
American mathematician (born 1934)
York: Springer-Verlag. 1994. Biography portal Mathematics portal Artin–Mazur zeta function Artin stacks Artin–Verdier duality List of second-generation
Michael_Artin
Seminal math text
Pursuing Stacks (French: À la Poursuite des Champs) is an influential 1983 mathematical manuscript by Alexander Grothendieck. It consists of a 12-page
Pursuing_Stacks
Mathematical model for data types
stack state Stack* stack_is_empty(void); // adds an item at the top of the stack state and returns the resulting stack state Stack* stack_push(Stack*
Abstract_data_type
Set with associative invertible operation
In mathematics, a group is a set with an operation that combines any two elements of the set to produce a third element within the same set. The following
Group_(mathematics)
Dutch mathematician
professor of mathematics at Columbia University. His research interests include arithmetic geometry and algebraic geometry. He maintains the Stacks Project
Aise_Johan_de_Jong
Mathematics notation with operators preceding operands
Polish prefix notation, Eastern Notation, or simply prefix notation, is a mathematical notation in which operators precede their operands, in contrast to the
Polish_notation
Topics referred to by the same term
type theory, the data type containing all others Top of stack, the first element of a Stack (abstract data type) The Opportunity Party, a political party
Top
Concept in category theory
intersections and in the study of exalcomm. Grothendieck construction Stack (mathematics) Artin's criterion Fibration of simplicial sets Giraud, Jean (1964)
Fibred_category
Development of mathematics in South Asia
proportion, and barter) and "practical mathematics" (including mixture, mathematical series, plane figures, stacking bricks, sawing of timber, and piling
Indian_mathematics
stacks. In particular, these conditions are used in the construction of the moduli stack of elliptic curves and the construction of the moduli stack of
Artin's_criterion
Theorem about cohomology rings
branch of mathematics, Borel's theorem, due to Armand Borel (1953), says the cohomology ring of a classifying space or a classifying stack is a polynomial
Borel's_theorem
In polyhedral combinatorics (a branch of mathematics), a stacked polytope is a polytope formed from a simplex by repeatedly gluing another simplex onto
Stacked_polytope
Ukrainian mathematician (born 1984)
She is a full professor and Chair of Number Theory at the Institute of Mathematics of the École Polytechnique Fédérale de Lausanne in Switzerland. She was
Maryna_Viazovska
Property of a mathematical space
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify
Dimension
Coincidence in mathematics
A mathematical coincidence is said to occur when two expressions with no direct relationship show a near-equality which has no apparent theoretical explanation
Mathematical_coincidence
Generalized manifold
Riemann–Roch formula Orbifold notation Orientifold Ring of modular forms Stack (mathematics) Satake 1956. Thurston 1978–1981, Chapter 13. Haefliger 1990. Poincaré
Orbifold
Binary tree representing a mathematical expression
one-node trees are created and pointers to them are pushed onto a stack. For convenience the stack will grow from left to right. The next symbol is a '+'. It
Binary_expression_tree
Dense arrangement of congruent spheres in an infinite, regular arrangement
conjecture". arXiv:math/9811071v2. Szpiro, George (2003). "Mathematics: Does the proof stack up?". Nature. 424 (6944): 12–13. Bibcode:2003Natur.424...12S
Close-packing of equal spheres
Close-packing_of_equal_spheres
Length in a vector space
uconn.edu. Retrieved September 7, 2020. "Relation between p-norms". Mathematics Stack Exchange. Bourbaki, Nicolas (1987) [1981]. Topological Vector Spaces:
Norm_(mathematics)
Awarded every year by the American Mathematical Society
year since 1970 by the American Mathematical Society for distinguished research work and writing in the field of mathematics. Since 1993, the awards have
Leroy_P._Steele_Prize
Canadian Army general (born 1961)
Newfoundland Brigadier-General Stack earned a Bachelor of Education (Secondary) and Bachelor of Science (Mathematics) degrees in 1985 and obtained a
Anthony_Stack
Conversion of a matrix or a tensor to a vector
× n matrix A, denoted vec(A), is the mn × 1 column vector obtained by stacking the columns of the matrix A on top of one another: vec ( A ) = [ a 1
Vectorization_(mathematics)
edition) Bruce Hoffman color 12m 1990 Safety on the Street Herbert James Stack & Hal Kopel color 10m April 8, 1952 video [770] Safety on the Street (2nd
List of Encyclopædia Britannica Films titles
List_of_Encyclopædia_Britannica_Films_titles
Subpermutation of a longer permutation
In combinatorial mathematics and theoretical computer science, a (classical) permutation pattern is a sub-permutation of a longer permutation. Any permutation
Permutation_pattern
Symbol representing a mathematical object
quantities (referred to as aha, "stack") if the sum of the quantity and part(s) of it are given (The Rhind Mathematical Papyrus also contains four of these
Variable_(mathematics)
$\sigma$-compactness". Mathematics Stack Exchange. "Does locally compact and $\sigma$-compact non-Hausdorff space imply hemicompact?". Mathematics Stack Exchange.
Exhaustion_by_compact_sets
moduli stack of vector bundles on a curve" (PDF), in Schmitt, Alexander (ed.), Affine flag manifolds and principal bundles, Trends in Mathematics, Basel:
Moduli stack of principal bundles
Moduli_stack_of_principal_bundles
Humor about mathematics or mathematicians
device for turning cotheorems into ffee"". Mathematics StackExchange. Retrieved 2025-01-26. Mathematical Humor – from Mathworld Paul Renteln and Alan
Mathematical_joke
Concept in algebraic geometry
In algebraic geometry, the moduli stack of rank-n vector bundles Vectn is the stack parametrizing vector bundles (or locally free sheaves) of rank n over
Moduli stack of vector bundles
Moduli_stack_of_vector_bundles
Ancient Egyptian mathematical manuscript
quantities (referred to as aha, "stack") if the sum of the quantity and part(s) of it are given. The Rhind Mathematical Papyrus also contains four of these
Moscow_Mathematical_Papyrus
Mathematics problem
is the mathematical problem of sorting a disordered stack of pancakes in order of size when a spatula can be inserted at any point in the stack and used
Pancake_sorting
Study of optimal transportation and allocation of resources
In mathematics and economics, transportation theory or transport theory is a name given to the study of optimal transportation and allocation of resources
Transportation theory (mathematics)
Transportation_theory_(mathematics)
Analysis of variation in mechanical parts and assemblies
Methods include 2D tolerance stacks, 3D Monte Carlo simulations, and datum conversions. Tolerance stackups or tolerance stacks are used to describe the problem-solving
Tolerance_analysis
Belgian mathematician
Angelo (2008). "Gromov-Witten Theory of Deligne-Mumford Stacks". American Journal of Mathematics. 130 (5). Johns Hopkins University Press: 1337–1398. arXiv:math/0603151
Pierre_Deligne
Window manager with non-overlapping frames
dependent on mathematical formulas to organise the windows into a non-overlapping frame. This is opposed to the more common approach used by stacking window
Tiling_window_manager
Mathematical representation
In mathematics the Burau representation is a representation of the braid groups, named after and originally studied by the German mathematician Werner
Burau_representation
Divergent sum of positive unit fractions
In mathematics, the harmonic series is the infinite series formed by summing all positive unit fractions: ∑ i = 1 ∞ 1 i = 1 1 + 1 2 + 1 3 + 1 4 + 1 5
Harmonic_series_(mathematics)
Tianyi (11 May 2024). "Is Stack Overflow Obsolete? An Empirical Study of the Characteristics of ChatGPT Answers to Stack Overflow Questions". Proceedings
2024_in_science
tells her to wait and starts to follow her, but as he does, he slips on a stack of bo staffs and hits his head. Milton, Jerry, Kim, and Eddie run over to
List_of_Kickin'_It_episodes
Sequence of program instructions invokable by other software
stack data structure, to implement function calls and returns. Each procedure call creates a new entry, called a stack frame, at the top of the stack;
Function (computer programming)
Function_(computer_programming)
American mathematician and billionaire (1938–2024)
wife, Marilyn, founded the Simons Foundation to support research in mathematics and fundamental sciences. The foundation is the top benefactor of Stony
Jim_Simons
pure and applied mathematics history. It is divided here into three stages, corresponding to stages in the development of mathematical notation: a "rhetorical"
Timeline_of_mathematics
August 6, 2005 (2005-08-06) Kim Jong-kook and Jewelry 17 17 "Briquette Stacking Challenge" (Korean: 연탄 옮겨 쌓기 대결) August 13, 2005 (2005-08-13) Cha Seung-won
List of Infinite Challenge episodes
List_of_Infinite_Challenge_episodes
Conjectures connecting number theory and geometry
In mathematics, the Langlands program is a set of conjectures about connections between number theory, the theory of automorphic forms, and geometry.
Langlands_program
Invariant in graph theory
In the mathematical field of graph theory, the queue number of a graph is a graph invariant defined analogously to stack number (book thickness) using
Queue_number
Topics referred to by the same term
magazine Meanness, a personal quality MEAN (solution stack), a free and open-source JavaScript software stack for building dynamic web sites and web applications
Mean_(disambiguation)
Generalization of algebraic variety
In mathematics, specifically algebraic geometry, a scheme is a structure that enlarges the notion of an algebraic variety in several ways, such as taking
Scheme_(mathematics)
{new}}&:~\to Stack\\{\rm {push}}&:~\mathbb {Z} \times Stack\to Stack\\{\rm {pop}}&:~Stack\to Stack\\{\rm {depth}}&:~Stack\to \mathbb {Z} \\{\rm {top}}&:~Stack\to
Algebraic semantics (computer science)
Algebraic_semantics_(computer_science)
American mathematician and professor
Flattening stratification and the stack of partial stabilizations of prestable curves. (2013) Bulletin of the London Mathematical Society, 45(1):93-102. On the
Andrew_Kresch
Topics referred to by the same term
system in mathematics Responsive neurostimulation device, an epilepsy treatment Reticulum Network Stack, cryptography-based networking stack "R.N.S.",
RNS
Type of category in mathematics
mathematics. Moreover, topoi give the foundations for studying schemes purely as functors on the category of algebras. To a scheme and even a stack one
Topos
Structure used in waveguides
and TM incidence we have the reflection spectra of a DBR stack, corresponding to a 6 layer stack of dielectric contrast of 11.5, between an air and dielectric
Distributed_Bragg_reflector
Symbols for constants, special functions
sensitivity to price in mathematical finance the Christoffel symbols that describe components of a metric connection the stack alphabet in the formal definition
Greek letters used in mathematics, science, and engineering
Greek_letters_used_in_mathematics,_science,_and_engineering
Theory of subatomic structure
physics, and it has stimulated a number of major developments in pure mathematics. Because string theory potentially provides a unified description of
String_theory
notation to Reverse Polish notation and calculates the result using a simple Stack algorithm. Variables can be used in expressions exp4j comes with a set of
Exp4j
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STACK MATHEMATICS
STACK MATHEMATICS
STACK MATHEMATICS
STACK MATHEMATICS
STACK MATHEMATICS
STACK MATHEMATICS
STACK MATHEMATICS
STACK MATHEMATICS
STACK MATHEMATICS
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