The basic assumption related to the function is that the subset [Pg.297]

The basic assumption of continuum mechanics is that the motion is smooth, i.e., differentiable as many times as needed, and that the Jacobian of the motion is nonzero and positive so that (A.l) is uniquely invertible in X [Pg.171]

The basic assumption is that the Langmuir equation applies to each layer, with the added postulate that for the first layer the heat of adsorption Q may have some special value, whereas for all succeeding layers, it is equal to Qu, the heat of condensation of the liquid adsorbate. A furfter assumption is that evaporation and condensation can occur only from or on exposed surfaces. As illustrated in Fig. XVII-9, the picture is one of portions of uncovered surface 5o, of surface covered by a single layer 5, by a double-layer 52. and so on.f The condition for equilibrium is taken to be that the amount of each type of surface reaches a steady-state value with respect to the next-deeper one. Thus for 5o [Pg.619]

The basic assumption here is the existence over the inelastic scattering region of a connnon classical trajectory R(t) for the relative motion under an appropriately averaged central potential y[R(t)]. The interaction V r, / (t)] between A and B may then be considered as time-dependent. The system wavefiinction therefore satisfies [Pg.2051]

The basic assumption is that the individual always has the choice of whether or not to behave in an unsafe manner. The implication of this assumption is that the responsibility for accident prevention ultimately rests with the individual worker. It also implies that as long as management has expended reasonable efforts to persuade an individual to behave responsibly, has provided training in safe methods of work, and has provided appropriate guarding of hazards or personal protection equipment, then it has discharged its responsibilities for accident prevention. If these remedies fail, the only recourse is disciplinary action and ultimately dismissal. [Pg.47]

The basic assumptions of fracture mechanics are (1) that the material behaves as a linear elastic isotropic continuum and (2) the crack tip inelastic zone size is small with respect to all other dimensions. Here we will consider the limitations of using the term K = YOpos Ttato describe the mechanical driving force for crack extension of small cracks at values of stress that are high with respect to the elastic limit. [Pg.494]

Harmonic analysis is an alternative approach to MD. The basic assumption is that the potential energy can be approximated by a sum of quadratic terms in displacements. [Pg.334]

The F distribution, similar to the chi square, is sensitive to the basic assumption that sample values were selected randomly from a normal distribution. [Pg.494]

Consider a molecule consisting of more than three atoms, with an even number of valence elections, 2n (n > 2). The basic assumption of the model is that the [Pg.390]

A kinetic study typically prepares some initial Z not equal to and describes the subsequent evolution of each of the concentrations. A basic assumption is that each component evolves according to some differential equation where t represents time. [Pg.507]

The kinetic theory of transport processes in gases rests upon three basic assumptions. [Pg.671]

This method is a modification of the earlier method [30] by Reference [26], as follow s, and can be less conservative [26] than the original method [30]. A basic assumption is that particles must rise/fall through one-half of the drum vertical cross-sectional area [26]. [Pg.241]

For any given protein, the number of possible conformations that it could adopt is astronomical. Yet each protein folds into a unique stmcture totally deterrnined by its sequence. The basic assumption is that the protein is at a free energy minimum however, calometric studies have shown that a native protein is more stable than its unfolded state by only 20—80 kj/mol (5—20 kcal/mol) (5). This small difference can be accounted for by the favorable [Pg.209]

It can be assumed that P,Jp, and for the cascade have been specified, and that the cost of feed and the cost per unit of separative work, the product of separative capacity and time, are known. The basic assumption is that the unit cost of separative work remains essentially constant for small changes ia the total plant size. The cost of the operation can then be expressed as the sum of the feed cost and cost of separative work [Pg.78]

A different approach is adopted here. Within the LMTO-ASA method, it is possible to vary the atomic radii in such a way that the net charges are non-random while preserving the total volume of the system . The basic assumption of a single-site theory of electronic structure of disordered alloys, namely that the potential at any site R depends only on the occupation of this site by atom A or B, and is completely independent of the occupation of other sites, is fulfilled, if the net charges [Pg.134]

Which addition is more favorable thermodynamically Assuming that the difference is entirely due to different 7t-bond energies, then which contains the stronger % bond, the alkyne or the alkene What flaws might there be in the basic assumption [Pg.115]

Understanding the distribution allows us to calculate the expected values of random variables that are normally and independently distributed. In least squares multiple regression, or in calibration work in general, there is a basic assumption that the error in the response variable is random and normally distributed, with a variance that follows a ) distribution. [Pg.202]

The classic model that describes chain scission in elastomers was proposed many years ago by Lake and Thomas [26J. The aim of the model is to calculate the energy dissipated in breaking all the polymer strands that have adjacent cross-links on either side of the crack plane. The basic assumption of this model is that all the main chain bonds in any strand that breaks must be strained to the dissociation [Pg.237]

The time constant R /D, and hence the diffusivity, may thus be found dkecdy from the uptake curve. However, it is important to confirm by experiment that the basic assumptions of the model are fulfilled, since intmsions of thermal effects or extraparticle resistance to mass transfer may easily occur, leading to erroneously low apparent diffusivity values. [Pg.260]

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