exact differential वाक्य
उदाहरण वाक्य
मोबाइल
- Those that can are referred to as exact differentials.
- The symbol for exact differentials is the lowercase letter.
- Suppose that the state space is two dimensional and any of the five quantities are exact differentials.
- This is especially useful in thermodynamics where temperature becomes the integrating factor that makes entropy an exact differential.
- Then, for the fictive case of a reversible process, can be written in terms of exact differentials.
- The differential, or infinitesimal increment, for the internal energy in an infinitesimal process is an exact differential.
- The quantity dY is an exact differential, while \ delta X is not, it is an inexact differential.
- By way of notation, we will specify the use of " d " to denote an exact differential.
- For an idealized continuous or quasi-static process, this means that infinitesimal incremental changes in such variables are exact differentials.
- The equations are named after the American physicist Percy Williams Bridgman . ( See also the exact differential article for general differential relationships ).
- Therefore, it may be necessary to construct more exact differential equations by building them up based on the actual system performance rather than a theoretical model.
- In other words, for a holonomic process function, \ lambda may be defined such that dY = \ lambda \ delta X is an exact differential.
- A simple but significant case is the-form of angle measure on the unit circle, written conventionally as ( described at closed and exact differential forms ).
- Likewise, with a well-defined pressure,, behind the moving boundary, the work differential,, and the pressure,, combine to form the exact differential
- To say that the expression given is a " representative " of the Chern class indicates that'class'here means up to addition of an exact differential form.
- So, in order for a differential " dQ ", that is a function of four variables to be an exact differential, there are six conditions to satisfy.
- It follows from the properties of an exact differential ( see equation 8 in the exact differential article ) and from the energy / entropy equation of state that, for a closed system:
- It follows from the properties of an exact differential ( see equation 8 in the exact differential article ) and from the energy / entropy equation of state that, for a closed system:
- Since the entropy is an exact differential, using the chain rule, the change in entropy when going from a reference state 0 to some other state with entropy may be written as where:
- An " exact differential " is sometimes also called a'total differential', or a'full differential', or, in the study of differential geometry, it is termed an exact form.
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