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Function describing equilibrium states of a system
equilibrium, a state function, function of state, or point function for a thermodynamic system is a function relating several state variables or state quantities
State_function
Type of political organization
Smith as a central function of the state, since these goods would otherwise be underprovided. Tilly has challenged narratives of the state as being the result
State_(polity)
Property of a thermodynamic system
that state. State variables can be functions of state, also called state functions, in a sense that one state variable is a mathematical function of other
Entropy
Linear combination of Slater determinants
In quantum chemistry, a configuration state function (CSF), is a symmetry-adapted linear combination of Slater determinants. A CSF must not be confused
Configuration_state_function
Topics referred to by the same term
The characteristic polynomial in linear algebra. The characteristic state function in statistical mechanics. The receiver operating characteristic in statistical
Characteristic_function
Type of energy transfer
terms, through the concepts of heat and work. Heat is not a state variable or state function; it is a process quantity. A thermodynamic system does not
Heat
Thermodynamic quantity
equilibrium state space of a thermodynamic system is termed a process function, or, alternatively, a process quantity, or a path function. As an example
Process_function
Process by which a quantum system takes on a definitive state
interpretations of quantum mechanics, wave function collapse, also called reduction of the state vector, occurs when a wave function—initially in a superposition of
Wave_function_collapse
Type of infinitesimal in calculus
integral path is path-independent, and this fact is used to identify state functions in thermodynamics. Even if we work in three dimensions here, the definitions
Exact_differential
Measure of temperature relative to absolute zero
the existence of a state function S (i.e., a function which depends only on the state of the system, not on how it reached that state) defined (up to an
Thermodynamic_temperature
Quantifiable conditions of a thermodynamic system at a specific time
thermodynamic temperature as a state function. A passage from a given initial thermodynamic state to a given final thermodynamic state of a thermodynamic system
Thermodynamic_state
Mathematical variable needed to describe the state of a thermodynamical system
choosing certain observable state functions as independent state variables and express the other state functions as functions of these independent variables
State_variable
Measure of energy in a thermodynamic system
internal energy and the product of its pressure and volume. It is a state function in thermodynamics used in many measurements in chemical, biological
Enthalpy
Association of one output to each input
mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the
Function_(mathematics)
Concept in theoretical computer science
score function Σ(n) gives the maximum number of 1s an n {\displaystyle n} -state Turing machine can output before halting, while the shifts function S(n)
Busy_beaver
Linked cyclic series of thermodynamic processes
system is zero, as entropy is a state function. During a closed cycle, the system returns to its original thermodynamic state of temperature and pressure
Thermodynamic_cycle
Type of energy transfer
are not state functions of the system. This is in contrast to classical mechanics, where net work exerted by a particle is a state function. Pressure–volume
Work_(thermodynamics)
Particular relationship between the partition function of an ensemble
characteristic state function or Massieu's potential in statistical mechanics refers to a particular relationship between the partition function of an ensemble
Characteristic_state_function
Version of the second law of thermodynamics
is used to introduce the state function known as entropy. This is because in a cyclic process the variation of a state function is zero per cycle, so the
Clausius_theorem
Function specifying the behavior of a component in an electronic or control system
a transfer function (also known as system function or network function) of a system, sub-system, or component is a mathematical function that models
Transfer_function
Topics referred to by the same term
Sigel State Property (soundtrack), a soundtrack album from the film State property, state or public ownership of an enterprise or asset. State function, a
State_Property
Concept in thermodynamics
the Massieu function (sometimes called Massieu–Gibbs function, Massieu potential, or Gibbs function, or characteristic (state) function in its original
Massieu_function
Theory of language
metalingual functions. The referential function: corresponds to the factor of context and describes a situation, object or mental state. The descriptive
Jakobson's functions of language
Jakobson's_functions_of_language
(FORM), which may be incorrect due to the non-linearity of the limit state function. Conceptually, this is achieved by averaging the result of different
Line_sampling
Extension of the factorial function
gamma function, denoted by Γ {\displaystyle \Gamma } (capital Greek letter gamma), is the most common extension of the factorial function to complex
Gamma_function
Mathematical description of quantum state
In quantum mechanics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common
Wave_function
Smooth approximation of one-hot arg max
The softmax function, also known as softargmax or normalized exponential function, converts a tuple of K real numbers into a probability distribution
Softmax_function
Concept within modeling and systems analysis
example the lifespan of a given state can be distributed exponentially or uniformly. The state transition and output functions of DEVS can also be stochastic
DEVS
Order-preserving mathematical function
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept
Monotonic_function
S-shaped curve
A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac
Logistic_function
Smooth and compactly supported function
analysis, a bump function is a localized auxiliary function, usually chosen to be smooth and to have compact support. Bump functions are commonly used
Bump_function
Equation in statistical mechanics
correlation functions with each other. Together with a closure relation, it is used to compute the structure factor and thermodynamic state functions of amorphous
Ornstein–Zernike_equation
Thermodynamic potential used in statistical mechanics
processes in open systems. The grand potential is the characteristic state function for the grand canonical ensemble. The grand potential is defined byΦG=defU−TS−μNwhere
Grand_potential
Theory of cryptography
In cryptography, a sponge function or sponge construction is any of a class of algorithms with finite internal state that take an input bit stream of any
Sponge_function
Mathematical function
the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial
Beta_function
Gas-like collection of photons
bosons with only one type of particle is uniquely described by three state functions such as the temperature, volume, and the number of particles. However
Photon_gas
Thermodynamic process
the whole system. In other words, when an equation for a change in a state function contains P or T, it implies a quasi-static process. While all reversible
Quasistatic_process
Mathematical model of computation
machine is a function of both its input signals and current state, whereas the output of a Moore machine is strictly a function of its current state. In a Medvedev
Finite-state_machine
Concept in the analysis of dynamical systems
general state-space Markov chains usually under the name Foster–Lyapunov functions. For certain classes of ODEs, the existence of Lyapunov functions is a
Lyapunov_function
Specific mathematical differential form
calculations involving heat and work because they are path functions, not state functions. An inexact differential δ u {\displaystyle \delta u} is a differential
Inexact_differential
Mathematical relation assigning a probability event to a cost
optimization and decision theory, a loss function or cost function (sometimes also called an error function) is a function that maps an event or values of one
Loss_function
Constituent polity of the United States
same function since, whenever a proposal to partition an existing state or states in order that a region within might either join another state or to
U.S._state
Process in quantum mechanical theories
to extend the single-particle state function ψ ( r ) {\displaystyle \psi (\mathbf {r} )} to the N-particle state function ψ ( r 1 , r 2 , … , r N ) {\displaystyle
Canonical_quantization
Integral expressing the amount of overlap of one function as it is shifted over another
mathematical operation on two functions f and g that produces a third function f∗g, as the integral of the product of the two functions after one is reflected
Convolution
Quantum state of the entire universe
The universal wave function or the wave function of the universe is the wavefunction or quantum state of the entire universe. It is regarded as the basic
Universal_wave_function
State function whose change relates to the system's maximal work output
In thermodynamics, the thermodynamic free energy is one of the state functions of a thermodynamic system. The change in the free energy is the maximum
Thermodynamic_free_energy
US constitutional law doctrine
"company-town") and prisons (traditionally a state function) can be held liable as having performed a state action when they violate fundamental civil rights
State_action
Multivalued function in mathematics
In mathematics, the Lambert W function, also called the omega function or product logarithm, is a multivalued function, namely the branches of the converse
Lambert_W_function
Type of subroutine in computer science
In computer science, a null function (or null operator) is a subroutine that leaves the program state unchanged. When it is part of the instruction set
Null_function
Law of thermodynamics establishing the conservation of energy
that the internal energy U is a function of state and that the internal energy change ΔU between two states is a function only of the two states. The first
First_law_of_thermodynamics
Thermodynamic potential
A=-S\,\mathrm {d} T-p\,\mathrm {d} V.} Because A is a thermodynamic function of state, this relation is also valid for a process (without electrical work
Helmholtz_free_energy
Cryptographic hash function
BLAKE is a cryptographic hash function based on Daniel J. Bernstein's ChaCha stream cipher, but a permuted copy of the input block, XORed with round constants
BLAKE_(hash_function)
Index of articles associated with the same name
Legislative Council, both of which function by researching, writing, and passing the legislation. State Legislative Councils State Legislative Assemblies Legislatures
State_legislatures_of_India
Physical quantity of hot and cold
described by stating its internal energy U, an extensive variable, as a function of its entropy S, also an extensive variable, and other state variables
Temperature
Converting classical mechanics to quantum mechanics
confused with a single particle system, since a single quantum wave function describes the state of a single quantum system, which may have arbitrarily many complicated
First_quantization
Physical law for entropy and heat
entropy ( d ) {\displaystyle (\mathrm {d} )} because entropy is a function of state, while heat, like work, is not. For an actually possible infinitesimal
Second_law_of_thermodynamics
Topics referred to by the same term
bank for brokerage firms Community-supported fishery Configuration state function Critical success factor Crowd-sourced funding This disambiguation page
CSF
Approximation method in quantum physics
method is used for approximating the wave function and the energy of a quantum many-body system in a stationary state. It is named after Douglas Hartree and
Hartree–Fock_method
State of a system after conditions are changed, before it settles into steady state
Population dynamics Race condition Simulation State function Steady state Steady state economy Steady State theory Systems theory Thermodynamic equilibrium
Transient_state
Imperial Japan's use of the Shinto religion
shrines into political functions, occasionally spurring local opposition and resentment. With fewer shrines financed by the state, nearly 80,000 closed
State_Shinto
Mathematical function
In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})}
Gaussian_function
Scientific subjects
Schrödinger (1926) involves the use of a mathematical entity, the wave function, which is related to the probability of finding a particle at a given point
Branches_of_physics
Proposal concerning the state of the universe prior to the Planck epoch
The Hartle–Hawking state, also known as the no-boundary wave function, is a cosmological model that applies quantum mechanics to the Big Bang. It is named
Hartle–Hawking_proposal
Probability distribution of energy states of a system
gives the probability that a system will be in a certain state as a function of that state's energy and the temperature of the system. The distribution
Boltzmann_distribution
State that has lost its ability to govern
A failed state is a state that has lost its ability to fulfill fundamental security and development functions, lacking effective control over its territory
Failed_state
American health technology company
same year, Hyman stated there were over a million data points on Function Health’s first group of 10,000 people. In May 2025, Function Health acquired
Function_Health
Energy contained within a system
potentials and Massieu functions. The entropy as a function only of extensive state variables is the one and only cardinal function of state for the generation
Internal_energy
State function aimed at preserving historical sites
The State Historic Preservation Office (SHPO) is a U.S. state or territorial governmental function described by the United States federal government in
State Historic Preservation Office
State_Historic_Preservation_Office
Process that cannot be undone or reversed
process may still be capable of returning to its initial state. Because entropy is a state function, the change in entropy of the system is the same whether
Irreversible_process
Generalized function whose value is zero everywhere except at zero
Dirac delta function (or δ {\displaystyle {\boldsymbol {\delta }}} distribution), also known as the unit impulse, is a generalized function on the real
Dirac_delta_function
functions (PDFs), the hard scattering part, and fragmentation functions. The fragmentation functions, as are the PDFs, are non-perturbative functions
Fragmentation_function
Sequential model-based optimization of expensive black-box functions
sequential model-based strategy for global optimization of black-box objective functions whose evaluations are costly. It is commonly used when a single observation
Bayesian_optimization
State in which variables of a system are unchanging in time
equilibrium Stability (disambiguation) State function Stationary process Stationary state Time invariance Transient state "AC analysis intro 1 (Video)". Power
Steady_state
Concept in assembly language programming
Similarly, the function epilogue appears at the end of the function, and restores the stack and registers to the state they were in before the function was called
Function prologue and epilogue
Function_prologue_and_epilogue
Type of energy
In solid-state physics, the work function is the minimum thermodynamic work (i.e., energy) needed to remove an electron from a solid to a point in the
Work_function
Foundation (or statehood) Day of Indian States
official holidays. State functions, parades, cultural events and award ceremonies are generally organized. Many states celebrate their state day on their formation
List_of_Indian_state_days
Formal specification language
Programming Modules", which introduced the idea of describing state transitions as Boolean-valued functions of primed and unprimed variables. Work continued throughout
TLA+
Model of thermodynamic properties
departure function value between v2 and infinite volume. Departure functions are computed by integrating a function which depends on an equation of state and
Departure_function
Class of thermodynamic models
Cubic equations of state are a specific class of thermodynamic models for modeling the pressure of a gas as a function of temperature and density and
Cubic_equations_of_state
Biochemical model of protein transitions
binding function (the fraction of protein bound to the regulator), and the state function (the fraction of protein under the activated state), cf below
Monod–Wyman–Changeux_model
Type of thermodynamic potential
for the infinitesimal reversible change in the Gibbs free energy as a function of its "natural variables" p and T, for an open system, subjected to the
Gibbs_free_energy
Probability density function in physics
The structure function, like the fragmentation function, is a probability density function in physics. It is somewhat analogous to the structure factor
Structure_function
Method of ratifying amendments to the United States Constitution
the representative body of the states as a "federal" function, as opposed to a "state" function of the legislature as prescribed in Article 1, Section 4
State_ratifying_conventions
Elementary operation on a natural number
is defined as repeated succession. The successor function is part of the formal language used to state the Peano axioms, which formalise the structure
Successor_function
Mathematical transformation
transformation on real-valued functions that are convex on a real variable. Specifically, if a real-valued multivariable function is convex on one of its real
Legendre_transformation
Statistics function
In statistics, the Q-function is the tail distribution function of the standard normal distribution. In other words, Q ( x ) {\displaystyle Q(x)} is the
Q-function
Executive office for the King of Spain
influence of any other state institution. The household ensures that the King has the independent means to perform all of his state functions. In particular,
Royal_Household_of_Spain
Function in thermodynamics and statistical physics
partition function describes the statistical properties of a system in thermodynamic equilibrium.[citation needed] Partition functions are functions of the
Partition function (statistical mechanics)
Partition_function_(statistical_mechanics)
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
Public persona of a sovereign state
nation state normally has a head of state, and determines the extent of its head's executive powers of government or formal representational functions. The
Head_of_state
Hash function that is suitable for use in cryptography
A cryptographic hash function (CHF) is a hash algorithm (a map of an arbitrary binary string to a binary string with a fixed size of n {\displaystyle n}
Cryptographic_hash_function
Function that takes two inputs
binary function (also called bivariate function, or function of two variables) is a function that takes two inputs. Precisely stated, a function f is binary
Binary_function
Energy quantum particles contribute to themselves
In solid state and condensed-matter physics self-energies and a myriad of related quasiparticle properties are calculated by Green's function methods and
Self-energy
Mathematical function
In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions. They are found in the description of the motion of a pendulum, as
Jacobi_elliptic_functions
Field equation from quantum gravity
field variables; that is, the functions of numbers in the classical case become operators that modify the state function in the quantum case. Thus the
Wheeler–DeWitt_equation
Maximized objective function of an optimization problem
t} state variable x ( t ) = x {\displaystyle x(t)=x} . If the objective function represents some cost that is to be minimized, the value function can
Value_function
Generating function in integrable systems
Tau functions are an important ingredient in the modern mathematical theory of integrable systems, and have numerous applications in a variety of other
Tau function (integrable systems)
Tau_function_(integrable_systems)
Mathematical function
the Riemann–Siegel Z function, the Riemann–Siegel zeta function, the Hardy function, the Hardy Z function and the Hardy zeta function. It can be defined
Z_function
In vector calculus, an invex function is a differentiable function f:ℝn→ℝ for which there exists a vector-valued function η such that f(x)−f(u)≥η(x,u)⋅∇f(u)
Invex_function
Function in control theory
x=0. A control-Lyapunov function is used to test whether a system is asymptotically stabilizable, that is whether for any state x there exists a control
Control-Lyapunov_function
travel, tourism, insurance
STATE FUNCTION
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STATE FUNCTION
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