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A stack may be implemented as, for example, a singly linked list with a pointer to the top element. A stack may be implemented to have a bounded capacity. If the stack is full and does not contain enough space to accept another element, the stack is in a state of stack overflow. A stack is needed to implement depth-first search.
For example, if is a scheme in (/), then it determines the contravariant functor = (,) and the corresponding fibered category is the stack associated to X. Stacks (or prestacks) can be constructed as a variant of this construction.
Stack; Queue (example Priority queue) Double-ended queue; Graph (example Tree, Heap) Some properties of abstract data types: This article needs attention from an ...
For example, a stack has push/pop operations that follow a Last-In-First-Out rule, and can be concretely implemented using either a list or an array. Another example is a set which stores values, without any particular order, and no repeated values. Values themselves are not retrieved from sets; rather, one tests a value for membership to ...
Deligne–Mumford stacks are typically constructed by taking the stack quotient of some variety where the stabilizers are finite groups. For example, consider the action of the cyclic group C n = a ∣ a n = 1 {\displaystyle C_{n}=\langle a\mid a^{n}=1\rangle } on C 2 {\displaystyle \mathbb {C} ^{2}} given by a ⋅ : ( x , y ) ↦ ( ζ n x , ζ ...
A differentiable stack is a stack : together with a special kind of representable submersion (every submersion described above is asked to be surjective), for some manifold . The map F X → C {\displaystyle F_{X}\to {\mathcal {C}}} is called atlas, presentation or cover of the stack X {\displaystyle X} .
Some stack-oriented languages may use multiple stacks for different purposes; for example, PostScript uses separate stacks for variables, dictionaries, procedures, some typical procedures, and control flow statements. Analysis of the language model allows expressions and programs to be interpreted simply.
For example, to develop a web application, the architect defines the stack as the target operating system, web server, database, and programming language. Another version of a software stack is operating system, middleware, database, and applications. [2]