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Topics referred to by the same term
transition function may refer to: an easing function, which specifies how a variable transitions between two values over space or time a transition map
Transition_function
Mathematical model of computation
state-transition function: δ : S × Σ → S {\displaystyle \delta :S\times \Sigma \rightarrow S} ; ω {\displaystyle \omega } is the output function. If the
Finite-state_machine
Mathematical functions which are smooth but not analytic
In real analysis, a smooth function is infinitely differentiable at each point in its domain, while a real analytic function is, at each point in its domain
Non-analytic_smooth_function
Mathematical function having a characteristic S-shaped curve or sigmoid curve
is also the Heaviside step function, which instantaneously transitions between 0 and 1. A wide variety of sigmoid functions including the logistic and
Sigmoid_function
Type of finite-state machine in automata theory
string w {\displaystyle w} , the machine will transition from state to state according to the transition function δ {\displaystyle \delta } . The last condition
Nondeterministic finite automaton
Nondeterministic_finite_automaton
Smooth and compactly supported function
supported bump function can be obtained by multiplying a rising transition by a falling transition. For real numbers a < b ≤ c < d, the function R ∋ x ↦ g
Bump_function
Collection of random variables
a sample function of a stochastic process X {\displaystyle X} is a continuous function of t ∈ T {\displaystyle t\in T} ; a sample function of a stochastic
Stochastic_process
Concept in theoretical computer science
alphabet is {0, 1}, with 0 serving as the blank symbol. The machine's transition function takes two inputs: the current non-Halt state, the symbol in the current
Busy_beaver
by the transition function. The model is usually referred to as the STAR(p) models proceeded by the letter describing the transition function (see below)
STAR_model
Set of charts that describes a manifold
notion of tangent vectors and then directional derivatives. If each transition function is a smooth map, then the atlas is called a smooth atlas, and the
Atlas_(topology)
Computation model defining an abstract machine
initial tape contents; δ:(Q∖F)×Γ⇀Q×Γ×{L,R} is a partial function called the transition function, where L is left shift, R is right shift. If δ is not defined
Turing_machine
Mathematical parametrization of vector spaces by another space
-valued function g U V : U ∩ V → GL ( k ) . {\displaystyle g_{UV}\colon U\cap V\to \operatorname {GL} (k).} These are called the transition functions (or
Vector_bundle
Function specifying how variables transition between values
In computer graphics, an easing function is a function that specifies how a variable transitions between two specific values, typically over time or space
Easing_function
Possibility of a consistent definition of "clockwise" in a mathematical space
the transition function is said to be orientation preserving. An oriented atlas on M {\displaystyle M} is an atlas for which all transition functions are
Orientability
Mathematical model of computation
second probabilistic transition function. At each step, the Turing machine probabilistically applies either the transition function δ 1 {\displaystyle \delta
Probabilistic_Turing_machine
Indicator function of positive numbers
respectively. Approximations to the Heaviside step function could be made through Smooth transition function like 1 ≤ m → ∞ {\displaystyle 1\leq m\to \infty
Heaviside_step_function
Hypothetical computing device
{\displaystyle \Gamma ^{k}} . The transition function takes both of these parameters and outputs what is necessary to compute a transition: a set of alphabet symbols
Multitape_Turing_machine
Topological space that locally resembles Euclidean space
{1-a^{2}}}\right)\\&={\sqrt {1-a^{2}}}\end{aligned}}} Such a function is called a transition map. The top, bottom, left, and right charts do not form the
Manifold
it includes the probability of a given transition into the transition function, turning it into a transition matrix. Thus, the probabilistic automaton
Probabilistic_automaton
Finite-state machine
defines at most one transition for each state and each input symbol; the transition function is allowed to be partial. When no transition is defined, such
Deterministic finite automaton
Deterministic_finite_automaton
finite set called the alphabet of A. δ: Q × Σ → Q is a function, called the transition function of A. q0 is an element of Q, called the initial state.
Muller_automaton
Topics referred to by the same term
Look up transition, transitate, transitional, transitionally, or transitions in Wiktionary, the free dictionary. Transition or transitional may refer
Transition
Study of abstract machines and automata
makes a transition (or jump) to another state, according to its transition function, which takes the previous state and current input symbol as its arguments
Automata_theory
symbol from a finite alphabet, together with a uniform rule called a transition function for updating all cells simultaneously based on the values of neighboring
Surjunctive_group
initial states. A set F of transition functions. Each function f in F maps a pair (state,input) to a new state. An objective function g, mapping a state to
Fully polynomial-time approximation scheme
Fully_polynomial-time_approximation_scheme
states, a set Σ called the input alphabet, and a function T: Q × Σ → Q called the transition function. Associated with any semiautomaton is a monoid called
Semiautomaton
Random process independent of past history
{\displaystyle (P_{t})_{t\geq 0}} the transition semigroup of the process. Transition functions are generalizations of the transition matrices used in the setting
Markov_chain
Cellular automaton that can be run backwards
part r, each drawn from a finite set of possible values. Define a transition function that sets the left part of a cell to be the left part of its left
Reversible_cellular_automaton
Concept in computer science
logically reversible if the transition function that maps old computational states to new ones is a one-to-one function; i.e. the output logical states
Reversible_computing
Continuous surjection satisfying a local triviality condition
corresponding action on F is smooth and the transition functions are all smooth maps. The transition functions t i j {\displaystyle t_{ij}} satisfy the following
Fiber_bundle
Topics referred to by the same term
domain Convolution kernel Stochastic kernel, the transition function of a stochastic process Transition kernel, a generalization of a stochastic kernel
Kernel
Reversible block cellular automaton
belong to four different 2 × 2 blocks of the previous partition. The transition function for Critters counts the number of live cells in a block, and if this
Critters_(cellular_automaton)
Maximal smooth atlas for a topological manifold
atlas for a topological manifold M is an atlas for M such that each transition function is a smooth map, and two smooth atlases for M are smoothly equivalent
Smooth_structure
Automated planner
conditions that are true in it. Transitions between states are modeled by a transition function, which is a function mapping states into new states that
Stanford Research Institute Problem Solver
Stanford_Research_Institute_Problem_Solver
Stochastic process
"vanishing at infinity" makes no sense. A Feller transition function is a probability transition function associated with a Feller semigroup. A Feller process
Feller_process
Computer science problem
arranged in a line, such that at each time step each machine transitions to a new state as a function of its previous state and the states of its two neighbors
Firing squad synchronization problem
Firing_squad_synchronization_problem
Fiber bundle
bundle having the same transition functions, but possibly a different fiber. In general it is enough to explain the transition from a bundle with fiber
Associated_bundle
Automaton which either accepts or rejects infinite inputs
rejects infinite inputs. Such a machine has a set of states and a transition function, which determines which state the machine should move to from its
Büchi_automaton
Theoretical model of computation
action to be performed for any given situation. Such a machine has a transition function that, for a given state and symbol under the tape head, specifies
Nondeterministic Turing machine
Nondeterministic_Turing_machine
Class of numerical methods in scientific computing
result of the state transition function. The state transition function is identical for every particle method. The state transition function is defined as S
Particle_method
Model of quantum computation
TM are replaced by pure or mixed states in a Hilbert space; the transition function is replaced by a collection of unitary matrices that map the Hilbert
Quantum_Turing_machine
Kind of cellular automaton
shape A rule for shifting the partition after each time step A transition rule, a function that takes as input an assignment of states for the cells in
Block_cellular_automaton
Fourth letter in the Greek alphabet
difference for a function. The degree of a vertex in graph theory. The Dirac delta function in mathematics. The transition function in automata. Deflection
Delta_(letter)
non-deterministic variant can be defined by replacing the transition function δ {\displaystyle \delta } by a transition relation δ ⊆ ( Q ∖ F × Γ n ) × ( Q × Γ n × {
Multi-track_Turing_machine
Constructs a fiber bundle from a base space, fiber and a set of transition functions
group from a given base space, fiber, group, and a suitable set of transition functions. The theorem also gives conditions under which two such bundles are
Fiber bundle construction theorem
Fiber_bundle_construction_theorem
Diagram of behavior of finite state systems
describes the state transition caused by an input. This is written mathematically as δ : Q × Σ → Q, so δ (the transition function) in the definition of
State_diagram
Finite-state machine whose output values are determined only by its current state
finite set called the output alphabet Λ {\displaystyle \Lambda } A transition function δ : S × Σ → S {\displaystyle \delta :S\times \Sigma \rightarrow S}
Moore_machine
Complex vector bundle on a complex manifold
are biholomorphic maps. This is equivalent to requiring that the transition functions t U V : U ∩ V → G L k ( C ) {\displaystyle t_{UV}:U\cap V\to \mathrm
Holomorphic_vector_bundle
Mathematical structure
states and α {\displaystyle \alpha } is the state-transition function. Applying the state-transition function to a state may yield two possible results: either
F-coalgebra
Concept within modeling and systems analysis
state can be distributed exponentially or uniformly. The state transition and output functions of DEVS can also be stochastic. Zeigler proposed a hierarchical
DEVS
Pattern that has no predecessors
the update rule simultaneously to every cell. The transition function of the automaton is the function that maps each configuration to its successor. If
Garden of Eden (cellular automaton)
Garden_of_Eden_(cellular_automaton)
Type of Turing machine
The behavior of a Turing machine M is determined by its transition function. This function can be easily encoded as a string over the alphabet {0, 1}
Universal_Turing_machine
Task of transforming a deterministic finite automaton
the set of input symbols, δ:Q×Σ→Q is the transition function, δ∗:Q×Σ∗→Q is the extended transition function, q0 is the initial state, and F is the set
DFA_minimization
Cellular automaton used to model universal construction
in terms of state-transition function, or rule-set. The neighborhood (a grouping function) is part of the state-transition function, and defines for any
Von Neumann cellular automaton
Von_Neumann_cellular_automaton
Set of mathematical concepts in quantum gravity
by using transition functions. Because the six-dimensional manifold cannot be covered with a single coordinate system, transition functions are grouped
Quantum_geometry
Negative of a convex function
theory, entropy is a concave function. In the case of thermodynamic entropy, without phase transition, entropy as a function of extensive variables is strictly
Concave_function
Method for making finite automata deterministic
Q is the set of states, Σ is the set of input symbols, T is the transition function (mapping a state and an input symbol to a set of states), q0 is the
Powerset_construction
Stream cipher
similar to a LFSR, but they perform operations with carries so their transition function is nonlinear. F-FCSR was one of the eight algorithms selected for
F-FCSR
an open covering for M, and the transition functions g i j {\displaystyle g_{ij}} form a cocycle of transition function on M. The associated fibre bundle
Adjoint_bundle
Physical process of transition between basic states of matter
In physics, chemistry and biology, a phase transition (or phase change) is the physical process of transition between one state of a medium and another
Phase_transition
Study of vector bundles, principal bundles, and fibre bundles
of transition functions the associated bundle can be understood more simply. If the principal bundle P {\displaystyle P} has transition functions g α
Gauge_theory_(mathematics)
Machine whose output is determined by its state and inputs
finite set called the output alphabet Λ {\displaystyle \Lambda } a transition function T : S × Σ → S {\displaystyle T:S\times \Sigma \rightarrow S} mapping
Mealy_machine
Set of problems in computational complexity theory
single transition function (a set of rules for how to proceed at each step of the computation) it probabilistically selects between multiple transition functions
Complexity_class
alphabet Σ. The transition function takes as its argument a pair of two states and outputs a regular expression (the label of the transition). This differs
Generalized nondeterministic finite automaton
Generalized_nondeterministic_finite_automaton
Necessary condition for optimality associated with dynamic programming
problem. Let the interest r follow a Markov process with probability transition function Q ( r , d μ r ) {\displaystyle Q(r,d\mu _{r})} where d μ r {\displaystyle
Bellman_equation
→ Q {\displaystyle \delta :Q\times \Sigma \rightarrow Q} is the transition function of A {\displaystyle {\mathcal {A}}} . q 0 {\displaystyle q_{0}} is
Co-Büchi_automaton
Mathematical description of quantum state
relating transition probabilities to inner products. The Schrödinger equation determines how wave functions evolve over time, and a wave function behaves
Wave_function
Model for coordination and decision-making among multiple agents
{\displaystyle a_{i}\in A_{i}} , the state updates based on the transition function T ( s , a , s ′ ) {\displaystyle T(s,a,s')} (using the current state
Decentralized partially observable Markov decision process
Decentralized_partially_observable_Markov_decision_process
Concept in differential geometry
the triple products of transition functions of the obstructed spin bundle. Therefore, the triple products of transition functions of the full spinC bundle
Spin_structure
Degree of differentiability of a function or map
In calculus and mathematical analysis, the smoothness of a function describes the number of times it can be differentiated without producing discontinuities
Smoothness
Memoryless property of a stochastic process
also called the transition function of X {\displaystyle X} and the collection ( P t ) t ≥ 0 {\displaystyle (P_{t})_{t\geq 0}} its transition semigroup. There
Markov_property
symbolic dynamics". The theorem states that a function from a shift space to itself represents the transition function of a one-dimensional cellular automaton
Curtis–Hedlund–Lyndon_theorem
Mathematical function resembling a boxcar
is the Heaviside step function. As with most such discontinuous functions, there is a question of the value at the transition points, which are usually
Boxcar_function
Formal constraint in quantum mechanics
\psi _{2}} are the wave functions of the two states, "state 1" and "state 2", involved in the transition, and μ is the transition moment operator. This
Selection_rule
Form of error in digital signals; spurious signals near sharp transitions
ringing artifacts are artifacts that appear as spurious signals near sharp transitions in a signal. In digital image processing, they appear as bands or "ghosts"
Ringing_artifacts
transition state theory (TST) value kABTST and reaches a plateau kAB ≤ kABTST for times of the order of the transition time. Hence once the function is
Transition_path_sampling
diffusion. One such diffusion model could conceivably consist of a transition function based on the average values of the neighbourhood of the cell. Many
Continuous_automaton
Computational navigational technique used by robots and autonomous vehicles
sequentially updating the location posteriors, given a map and a transition function P ( x t | x t − 1 ) {\displaystyle P(x_{t}|x_{t-1})} , P ( x t |
Simultaneous localization and mapping
Simultaneous_localization_and_mapping
{\displaystyle \,\delta :Q\times \Sigma \times \Gamma \rightarrow S} is the transition function, where S {\displaystyle \,S} are finite subsets of Q × ( ‡ Γ + )
Embedded_pushdown_automaton
Mathematical function, denoted exp(x) or e^x
In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value. It is denoted
Exponential_function
One-dimensional complex manifold
complex charts f {\displaystyle f} and g {\displaystyle g} with transition function h = f ( g − 1 ( z ) ) {\displaystyle h=f(g^{-1}(z))} , h {\displaystyle
Riemann_surface
Operation in differential geometry
2-jets is second-order in the coordinate transition functions. We are now prepared to define the jet of a function from a manifold to a manifold. Suppose
Jet_(mathematics)
Type of fiber bundle
fiber is an affine space and whose trivialization morphisms and transition functions are affine. Let π ¯ : Y ¯ → X {\displaystyle {\overline {\pi }}:{\overline
Affine_bundle
Statistical tool to model changing systems
algorithm will estimate the starting probabilities, the transition function, and the observation function of a hidden Markov model. One common use is for speech
Markov_model
Formal language concept
is the transition function, which is partitioned into three parts corresponding to call transitions, return transitions, and internal transitions, namely
Nested_word
Computation model, equivalent to Turing machines
\,\delta :Q\times \Gamma \rightarrow Q\times \Gamma ^{*}} is the transition function. A machine configuration is an ordered pair of its state and queue
Queue_automaton
chart, regardless of the smoothness of the chart itself, then the transition function from that coordinate chart to any harmonic coordinate chart will
Harmonic_coordinates
Type of automaton
many texts the transition relation is replaced by an (equivalent) formalization, where δ {\displaystyle \delta } is the transition function, mapping Q ×
Pushdown_automaton
Finite-state machine in automata theory
states of the automaton, Σ is the set of input symbols, δ is the transition function that takes a state q and an input symbol x to a new state δ(q,x)
Permutation_automaton
Measure of a system's order
correlation function is a measure of the order in a system, as characterized by a mathematical correlation function. Correlation functions describe how
Correlation function (statistical mechanics)
Correlation_function_(statistical_mechanics)
Manifold upon which it is possible to perform calculus
choice of chart at p. It follows from the chain rule applied to the transition functions between one chart and another that if f is differentiable in any
Differentiable_manifold
Type of topological defects in the Yang–Mills vacuum
along a circle linking x. Glue the total space back together with a transition function which is a map from the cut circle to a representation of G. The
Center_vortex
Graphical programming language
Sequential function chart (SFC) is a visual programming language used for programmable logic controllers (PLCs). It is one of the five languages defined
Sequential_function_chart
w^{k}}}.} Since the coordinate functions are holomorphic, so are any derivatives of them, and so the transition functions of the holomorphic tangent bundle
Holomorphic_tangent_bundle
A transition is a passage of music composed to link one section of music to another. Transitions often function as a moment of transformation and may
Transition_(music)
Theory of continuous phase transitions
associated with the order parameter as a function of the temperature. To further demonstrate that the transition is first-order, one can show that the free
Landau_theory
Economy changing from a centrally planned to a market economy
A transition economy or transitional economy is an economy which is changing from a centrally planned economy to a market economy. Transition economies
Transition_economy
State machine that may have infinite states
of transition systems, adding a set of fluents F, a set of values V, and a function that maps F × S to V. Binary relation Ternary relation Transition monoid
Transition_system
Type of electric dipole moment
The transition dipole moment or transition moment, usually denoted d n m {\displaystyle \mathbf {d} _{nm}} for a transition between an initial state,
Transition_dipole_moment
trivializations respect the algebra structure. It follows that the transition functions are algebra isomorphisms. Since algebras are also vector spaces,
Algebra_bundle
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