Relationship difference

As with the rate of polymerization, we see from Eq. (6.37) that the kinetic chain length depends on the monomer and initiator concentrations and on the constants for the three different kinds of kinetic processes that constitute the mechanism. When the initial monomer and initiator concentrations are used, Eq. (6.37) describes the initial polymer formed. The initial degree of polymerization is a measurable quantity, so Eq. (6.37) provides a second functional relationship, different from Eq. (6.26), between experimentally available quantities-n, [M], and [1]-and theoretically important parameters—kp, k, and k. Note that the mode of termination which establishes the connection between u and hj, and the value of f are both accessible through end group characterization. Thus we have a second equation with three unknowns one more and the evaluation of the individual kinetic constants from experimental results will be feasible. 

Size Distribution Relationships. Different models have been used to describe the size distribution of particles experiencing single and multiple fractures. A model based on fracture at the site of the weakest link and a distribution of weakest links in the system gave results that could be described as well by the Rosin-Rammler relation (56). The latter is based on the concept that fracture takes place at pre-existing flaws that are distributed randomly throughout the particle. 

Not only do mentoring relationships differ because they are placed in varying environments, they also differ for a variety of other reasons - including the mentee s objectives and the personalities of mentor and mentee. A number of additional factors have a significant bearing on the nature of a mentoring relationship ... 

In contrast to star-branched macromolecules, this relationship differs now from that of the non-fractionated samples... 

For nebulizers and MDIs, the external resistance (Re) is quite low. Different approaches have been made to describe the external airflow resistance of DPIs. Olsson and Asking [99] derived an empirical relationship between flow rate () and pressure drop (AR), AR = for a number of inhalers (such as Rotahaler , Spinhaler and Turbuhaler ) in which they define the proportionality coefficient (C) as the airflow resistance. This relationship differs only slightly from the general (theoretical) equation for orifice types of flow constrictions ... 

In other words, for tetrahedral molecules, these relationships differ from the ones used for the linear molecules, especially Eq. 4.18. As a consequence, we must rederive the relationships for the spectral line shape and spectral moments. If the intermolecular interaction potential may be assumed to be isotropic, the line shape function Vg(a> T), Eq. 6.49, which appears in the expression for the absorption coefficient a, Eq. 6.50, may still be written as a superposition of individual profiles,... 

Horowitz and Jarzynski examine the connection between a result by Bochkov and Kuzovlev that can be used to obtain an FR, the Crooks FR and the ES FR. They show that the relationships differ in their definition of the work and range of applicability. 

Ordinarily, laboratory data are used to formulate a rate law, and then the reaction rate-conversion functional dependence is determined using the rate law. Preceding sections show that with the reaction rate-conversion relationship, different reactor schemes can readily be sized. In Chapter 3 we show how we obtain this rel onship between reaction rate and conversion from rate law and reaction stoichiometry. 

The significance of these results cannot be missed. If the confidence interval is based on time, competitive relationships differ on a seasonal basis, and the lack of a species at certain times may not be due to an increase or decrease in pollutants but may be attributable to yearly changes in resource availability. 

The central concept in plant systematica (as in the systematics of other organisms animals, fungi, prokaryotes) is that of relationship, Different kinds of plant taxonomists, engaged in different kinds of research, will subscribe to the statement that searching for relationships is an essential part of their activities. Plant systematics can, therefore, rightly be defined as the science of relationships between plants - or rathert between plant populations. 

They need to keep the conduct of conflict emotionally safe. Conflict must never be used as an excuse for doing injury to another family member. Conflict is only intended to work out inevitable human differences in their relationship, differences that tend to become more common and intense during their child s passage through midadolescence. 

Reviews of the association of chemical and sensory aspects were published as early as 1965 by Wick and later, for instance, by Vernin (1981), who gave examples of odor-structure relationship. Different structures can be related to similar odors, similar structures to different odors, and similar structures to similar odors. A statistical treatment of data became necessary to correlate analytical results with those obtained by sensory analysis, as stated by Adda and Jounela-Eriksson (1979). Since then, correlation between sensory analysis and instrumental analysis has been the subject of important sessions of the Weurman Flavor Research Symposia, for instance in the chapters on Sensory science in flavor research (Weurman 5th Meeting, 1987) or Correlation between sensory and instrumental analysis (Weurman 7th meeting, 1993). 

As in Section 11.1, we consider the reflection of a particle from a flat boundary at normal sedimentation. This assumption can be used for a bubble when we are interested in impacts close to the pole, at < ,. Thus, we can simplify the expression for the normal flow of liquid setting cosine to unity and assuming that over whole section of the surface at < j the length of recoil is characterized by a constant value. In dimensionless form, the equation for calculating the inertia path change due to the opposite motion of the liquid which has a velocity distribution expressed by a linear relationship (differs from a linear second-order differential equation with constant coefficients only due to a variation of Reynolds number for a retarded particle). It reads... 

Structure-property relationship different materials have different properties the same kinds of materials have different properties the property of the material not only relevant to its composition but more importantly is relevant to its structure. Moreover, its basic performance and processing performance are sometimes inconsistent with its operational performances. 

Managing these relationships differently will take different levels of persontil mastery. Listening skills will be even more important. How we hold ourselves in relationship to others in the system is foundational do we see ourselves as partners or as competitors/adversaries to be negotiated with First we need a different model for full potential. Then we need to develop the skills to work the model effectively. 

What does Charles s law tell us about how the volume of a gas sample varies as the temperature of the sample is changed How does this volume-temperature relationship differ from the volume-pressure relationship of Boyle s law Give two mathematical expressions that describe Charles s law. For Charles s law to hold true, why must the pressure and amount of gas remain the same Sketch the general shape of a graph of volume versus temperature (at constant pressure) for an ideal gas. 

The problems addressed by agent theory are known in many areas, including employer-employee relationships, lawmakers-bureaucrat relationships, and corporate-subcontractor relationships. Different ways... 

Most commercially available data handling systems which have SEC software written for them assume that the calibration will be carried out using a series of narrow MMD calibrants. The molecular masses are always used in the logarithmic form, and the calibration is usually established either as a linear relationship between the log molecular mass and the elution time, or by using a polynomial relationship. Different systems permit the use of various orders of polynomial, but in practice a linear fit or a third-order polynomial are the most commonly encountered. 

Barriers to build business relationships (different business and cultural practices)... 

Fig. 19.1. Impact of heterogeneity in biological characteristics of tumors on dose-response for local tumor control probability (TCP). Nine different human head and neck squamous cell carcinomas in nude mice were irradiated at the same size with 30 fractions in 6 weeks. Despite that all tumors are of the same entity, the dose relationships differ substantially in position and steepness. The bold curve represents the composite dose-response relationship of all nine tumor lines...

Many of the factors that have been considered above in relation to crevice corrosion are equally applicable to pitting, e.g. the large cathode/small anode area relationship, differences in concentration of the cathode reactant, auto-catalytic formation of acid within the occluded cell see Fig. 1.49), etc. but there are certain distinct differences that must be considered. 

Walton and Adams," Marino and Mehta, Hicks and Hume Ebb shoal volume, VE(note relationships differ according to wave climate) Ve = C3P ... 

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