Neighborhood words

The grid u> is taken to be connected, that is, for fixed points P Q and P G w there always exists a sequence of neighborhoods Patt P) such that the passage from P to P can be done using only the nodes of those neighborhoods or, in other words, one can select nodes Pi, P2, .. ., Pm of the grid u> such that... 

Voting rules are irreversible as several different configurations of cells in the neighborhood can lead to the same set of states in the following cycle. In other words, there is a many-to-one mapping of states (Figure 6.12). 

Best Paint is a small Seattle company dedicated to producing safe paint products with a minimum of VOCs. Located in my neighborhood, this gem of a resource is owned and operated by co-founders John Pruitt and John Todd, two men who became chemically sensitive while working in the paint industry. Best Paint is advertised almost solely by word of mouth, and is carried only by a few retail outlets in Seattle special orders are shipped to environmentally ill consumers nationwide. The two owners are always busy making paint... 

The percolation simulations clearly allow ring formation it also represents self-avoiding statistics, i.e., includes the excluded volume effects in good solvents. Finally, the probability of placing units on lattice sites becomes more and more dependent on whether a site in the neighborhood is already occupied. In other words the percolation experiment becomes a non-mean field approach when the occupation reaches the critical percolation threshold. Therefore, strong deviations were expected between the more accurate percolation and the Flory-Stockmayer mean field approaches. Physicists were of the opinion that the mean field results must be basically wrong. 

In other words. Exhibit A is crucial to your case because it provides clear evidence that your client is innocent. If Exhibit A were a photograph of the neighborhood supermarket that was several miles away from the reported accident or a picture of the neighborhood park on a sunny day, your evidence would be irrelevant and not useful to your client or the case you were trying to prove. Similarly, every section, paragraph, point, quotation, and statistic must be relevant to your thesis. Not only should your evidence be relevant but it must support your thesis beyond a shadow of a doubt and be worded in such a way that the reader will have no second thoughts as to what you are proving. 

Key Words Chemical database compound selection library design molecular diversity molecular similarity neighborhood behavior similar property principle similarity searching. 

Proposition B.l The function T is a local diffeomorphism. In other words, for any g e 5[/(2), there is a neighborhood N containing g such that the restriction 4 Itv is invertible and its imerse is differentiable. 

In Equation 1, X ° and 2° are X and x2 at r = < , respectively. The first component is a nonelectrolyte, while the second component is an electrolyte such as water. In other words, X and x2 represent the compositions in the neighborhood of respective salts and accordingly the solvated compositions. Assuming that changes in the dielectric constant are in the linear relationship with changes in the composition of solvent, this relation is given by (de/dni) = (Ae/Ani). 

The family f is called complete (resp. effectively parametrized ) at the k-rational point s c S if the morphism g is smooth ( resp. etale ) at s If S is algebraic the completeness in s implies that g(S) contains a neighborhood of the point g(s) Hilb tn other words f parametrizes all "sufficiently small" deformations of (s) in Pr. "Effectively parametrized" implies that the classifying map g is f inite-to-one nearby s. Examples of... 

The calculations of standard thermodynamic properties discussed in the rest of this section are based on the assumption that the standard enthalpies of formation of species are independent of temperature in other words, the heat capacities of species are assumed to be zero. In the future when more is known about the molar heat capacities of species, more accurate calculations can be based on the assumption that the molar heat capacities are independent of temperature. When the heat capacities of species are equal to zero, the standard entropies of formation are also independent of temperature. Under these conditions the values of AfG at other temperatures in the neighborhood of 298.15 K can be calculated using... 

The following question now arises What is the dissipation potential 2 that implies the mass action law fluxes In other words, we look for 5 that (i) satisfies (53), (ii) satisfies (67) with the fluxes given in (64), and (iii) in a small neighborhood of the equilibrium it reduces to (68). The answer is the following ... 

Since the paths and P2 contain as internal vertex the stable synthon S13b4), the stable synthon S3(T) is not an element of the stable neighborhood of the synthon S12(A). The stable neighborhood of S12(/l) is S(S12(/1)) = S9(/l), S13(v4). In other words, a stable neighbourhood of a synthon S(T) is composed only of those synthons S (A), for which there exists no shortest path between S( 4) and S ( 4) in graph %D(A) containing as an intermediate some stable synthon. 

Without denying the incontestable benefits either of the division of labor or of hierarchical coordination for some tasks, I want to make a case for institutions that are instead multifunctional, plastic, diverse, and adaptable—in other words, institutions that are powerfully shaped by metis. The fact that those ensnared in confining systems of formal order seem constantly to be working, in their own interest, to make the systems more versatile is one indication of a common process of "social domestication. A second indication is the social magnetism of autonomy and diversity as seen, for example, in the popularity of Jacobs s mixed-use neighborhoods and in the continued attraction of self-employment. 

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