give the proper terminology for the following statement steady state in body functioning
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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.[1] 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:
{\displaystyle {\frac {\partial p}{\partial t}}=0\quad {\text{for all }}t.}
In discrete time, it means that the first difference of each property is zero and remains so:
{\displaystyle p_{t}-p_{t-1}=0\quad {\text{for all }}t.}
The concept of a steady state has relevance in many fields, in particular thermodynamics, economics, and engineering. If a system is in a steady state, then the recently observed behavior of the system will continue into the future.[1] In stochastic systems, the probabilities that various states will be repeated will remain constant. See for example Linear difference equation#Conversion to homogeneous formfor the derivation of the steady state.
{\displaystyle {\frac {\partial p}{\partial t}}=0\quad {\text{for all }}t.}
In discrete time, it means that the first difference of each property is zero and remains so:
{\displaystyle p_{t}-p_{t-1}=0\quad {\text{for all }}t.}
The concept of a steady state has relevance in many fields, in particular thermodynamics, economics, and engineering. If a system is in a steady state, then the recently observed behavior of the system will continue into the future.[1] In stochastic systems, the probabilities that various states will be repeated will remain constant. See for example Linear difference equation#Conversion to homogeneous formfor the derivation of the steady state.
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