Quantity, defined

The chemical potential is a partial molar quantity defined by the last term in equation 4 ... 

Year Various Dimensionless (PSR) d Profit-sales ratio defined by Eq. (9-235) Quantity defining tbe scale of operation Dimensionless Various... 

Temperature becomes a quantity definable either in terms of macroscopic thermodynamic quantities, such as heat and work, or, with equal validity and identical results, in terms of a quantity, which characterized the energy distribution among the particles in a system. With this understanding of the concept of temperature, it is possible to explain how heat (thermal energy) flows from one body to another. 

This is a very interesting result. The time course is identical in form with that given by Eq. (3-78) for Scheme IX, but in Eq. (3-87) the rate parameters a and P are not elementary rate constants instead they are composite quantities defined by Eqs. (3-85) and (3-86). 

Conservation of Momentum. If the mass of a body or system of bodies remains constant, then Newton s second law can be interpreted as a balance between force and the time rate of change of momentum, momentum being a vector quantity defined as the product of the velocity of a body and its mass. 

Quantity with a probability of confirmation considerably less than 50 per cent minus the quantity defined as expectation. 

The Disparity of a Solution. We may begin to use the word disparity in a technical sense, for the quantity defined above, and to speak of d as the disparity of the solution when the mole fraction of the solute is x. In dilute ionic solutions the sign of d is always negative. The effect of the interionic forces is that ions added to a dilute solution always lose more free energy than they would when added to the corresponding ideal solution hence the total communal term is less than the cratic term. 

Strain is a dimensionless quantity, defined as increase in length of the specimen per unit original length. It represents the response of the material to the stress applied to it. 

The combination of the thermodynamic parameters —0/T) occurs in the defined quantity J (see Eq. 55), which occupies the major role in the expression, Eq. (75), for A 2. A logical first objective is the evaluation of /, therefore. But according to Eq. (75), A 2 depends also on the function hence it is necessary to evaluate This latter quantity, defined by Eq. (56), depends on the parameter jS characterizing the spatial distribution of segments. Introducing Eq. (52) for jS into Eq. (56). 

They do not have any physical meaning. It is impossible to establish an accurate and quantified relationship between their level and physical quantities defining risk. Perfect knowledge of each definition is the only way to enable a relationship between code and property. 

For the formulation of a general solution, the dimensionless quantities defined by Eqs. (21)-(25) are used, but the dimensionless rate constant is defined by Eq. (33) rather than Eq. (26). 

The mass density of a substance is an intensive quantity defined by ... 

Some fundamental definitions and properties of distribution functions are summarized briefly in this section. The most important statistical weights, averages, and moments frequently encountered in polymer analysis are introduced [7], Most quantities defined here will feature later again in the discussion of the individual analytical techniques. 

Expanded uncertainty A quantity defining an interval about the result of a measurement that may be expected to encompass a large fraction of the distribution of values that could reasonably be attributed to the measurand. 

By way of illustration consider a binary composite system characterized by extensive parameters Xk and Xf in the two subsystems and the closure condition Xk + X k — Xk. The equilibrium values of Xk and X k are determined by the vanishing of quantities defined in the sense of equation (3) as... 

According to equation (21) the systems of the canonical ensemble are conservative. Each system moves independently of all others and the phase integral exists for each of them. Each system therefore moves on a surface of constant energy and corresponds to a microeanonical ensemble. In this sense the canonical ensemble is built up from a multitude of microeanonical ensembles. Quantities defined for the microeanonical ensemble may therefore be averaged over the canonical ensemble. The original system which is represented by the canonical ensemble however, cannot be described, even approximately, as conservative. It is customary to denote the Hamiltonian of the systems of the canonical ensemble as the Hamiltonian of the original system, which is not justified. 

The quantities defined by Eqs. (2)—(7) plus Vs max, Vs min, and the positive and negative areas, A and, enable detailed characterization of the electrostatic potential on a molecular surface. Over the past ten years, we have shown that subsets of these quantities can be used to represent analytically a variety of liquid-, solid-, and solution-phase properties that depend on noncovalent interactions [14-17, 84] these include boiling points and critical constants, heats of vaporization, sublimation and fusion, solubilities and solvation energies, partition coefficients, diffusion constants, viscosities, surface tensions, and liquid and crystal densities. 

Show that the excess quantities defined in Eq. (16.7) are independent of the thickness chosen for the interface as long as the interface incorporates all of the regions where the concentrations are different from the bulk. 

The relationship between spot sales price and spot sales quantity can be modeled as a linear function within the feasible minimum and maximum quantities defined by the management of the company. Of course, the price-quantity relationship could also be modeled using a non-linear function depending on the actual price-quantity-bids the company receives. In this work the linear function showed a sufficient statistical fit based on the real data provided by the industry case. 

The defect interaction energies appearing in Eq. (33) are, for the purposes of the present article, assumed to be known either from theory or experiment. Certain other quantities appear in the final expressions for the thermodynamic functions and must therefore be known. The quantity defined by the relation... 

To measure such time scales, the free-volume autocorrelation function CV can be calculated.75 This quantity, defined as,... 

The possibility to have metastable hadronic stars, together with the feasible existence of two distinct families of compact stars, demands an extension of the concept of maximum mass of a neutron star with respect to the classical one introduced by Oppenheimer Volkoff (1939). Since metastable HS with a short mean-life time are very unlikely to be observed, the extended concept of maximum mass must be introduced in view of the comparison with the values of the mass of compact stars deduced from direct astrophysical observation. Having in mind this operational definition, we call limiting mass of a compact star, and denote it as Mum, the physical quantity defined in the following way ... 

The calculation of partial molar quantities, defined [as in Equation (9.12)] as... 

This, and similar quantities defined for more than two sites, will be studied extensively in the following chapters. 

As in Sections 4.2 and 4.5, we need only the X. —> 0 limit of this correlation function, which is the quantity defined in Eq. (4.7.22), to which we refer as the correlation function between the two events. For these particular events we also say that whenever there exists correlation [i.e., g(l, 1) 1)], the two ligands cooperate hence there exists cooperativity between the ligands, or simply, the system is cooperative. 

Paper IV presents the first experimental series with the new measurement method. Results are given for all the four sought quantities defined in Paper II. The conversion concept of the conversion system is the same as in Paper El, see Figure 16. 

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