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  2. State function - Wikipedia

    en.wikipedia.org/wiki/State_function

    In the thermodynamics of equilibrium, a state function, function of state, or point function for a thermodynamic system is a mathematical function relating several state variables or state quantities (that describe equilibrium states of a system) that depend only on the current equilibrium thermodynamic state of the system [1] (e.g. gas, liquid, solid, crystal, or emulsion), not the path which ...

  3. State variable - Wikipedia

    en.wikipedia.org/wiki/State_variable

    A state variable is one of the set of variables that are used to describe the mathematical "state" of a dynamical system. Intuitively, the state of a system describes enough about the system to determine its future behaviour in the absence of any external forces affecting the system.

  4. State-space representation - Wikipedia

    en.wikipedia.org/wiki/State-space_representation

    The internal state variables are the smallest possible subset of system variables that can represent the entire state of the system at any given time. [13] The minimum number of state variables required to represent a given system, , is usually equal to the order of the system's defining differential equation, but not necessarily.

  5. Thermodynamic state - Wikipedia

    en.wikipedia.org/wiki/Thermodynamic_state

    The number is always two or more; usually it is not more than some dozen. Though the number of state variables is fixed by experiment, there remains choice of which of them to use for a particular convenient description; a given thermodynamic system may be alternatively identified by several different choices of the set of state variables.

  6. Equation of state - Wikipedia

    en.wikipedia.org/wiki/Equation_of_state

    In physics and chemistry, an equation of state is a thermodynamic equation relating state variables, which describe the state of matter under a given set of physical conditions, such as pressure, volume, temperature, or internal energy. [1] [2] Most modern equations of state are formulated in the Helmholtz free energy.

  7. Mathematical model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_model

    The system under consideration will require certain inputs. The system relating inputs to outputs depends on other variables too: decision variables, state variables, exogenous variables, and random variables. Decision variables are sometimes known as independent variables. Exogenous variables are sometimes known as parameters or constants. The ...

  8. Steady state - Wikipedia

    en.wikipedia.org/wiki/Steady_state

    In systems theory, a system or a process is in a steady state if the variables (called state variables) which define the behavior of the system or the process are unchanging in time. In continuous time , this means that for those properties p of the system, the partial derivative with respect to time is zero and remains so:

  9. Variable (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Variable_(mathematics)

    In mathematics, a variable (from Latin variabilis, "changeable") is a symbol, typically a letter, that refers to an unspecified mathematical object. [ 1 ] [ 2 ] [ 3 ] One says colloquially that the variable represents or denotes the object, and that any valid candidate for the object is the value of the variable.