A-Subcategories

Similarly, for fixed A the functor taking B to A B induces a functor of K(.4) into itself which, together with Oqi identity, is a A-functor. And for fixed A, the family of isomorphisms 

Note that /(TiA) = Ta/(A). Verify that there is a unique way of extending / to a functor such that the form an isomorphism of A-functors (F, 9) (/, identity). 

The objects of K are complexes A which are bounded below, i.e., there is an integer no (depending on A ) such that A = 0 for n no. The objects 

If L c L are A-subcategories of K and j L — L is the inclusion, then there exists a natural commutative diagram of A-functors 

Note that on objects of D (= objects of L ), j is just the inclusion map to objects of D . 

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The Lewis definitions of acids and bases provide for a more general view of acid-base reactions than either the Arrhenius or Br0nsted-Lowry pic ture A Lewis acid is an electron pair acceptor A Lewis base is an electron pair donor The Lewis approach incorporates the Br0nsted-Lowry approach as a subcategory m which the atom that accepts the electron pair m the Lewis acid is a proton... 

Liquefied petroleum gas (LPG) is a subcategory of a versatile class of petroleum products known as natural gas liquids (NGLs) that are produced along with and extracted from natural gas (see Gas, natural). LPG is also produced from the refining of cmde oil (see Petroleum). Although LPG is... 

Mixed-Metal Oxide Pig ments. Mixed-metal oxide pigments can be considered a subcategory of complex inorganic color pigments. The name, mixed-metal oxides, does not, however, represent the reaUty as these pigments are not mixtures but rather soHd solutions or compounds consisting... 

Wastewater characterization for the aluminum forming industry has been developed on a waste-stream basis, rather than on a subcategory basis. Table 5.2 summarizes the wastewater sources reported for this industry. Wastewater flow rates identified for these sources are presented in Table 5.3. 

Based on the anode material employed, eight (8) subdivisions (A-H) have been developed by the U.S. EPA.5 As may be noted (Table 32.1), the zinc anode is divided into two groups (subcategories D and G) based on the electrolyte types. This difference is also reflected in the substantial differences in the manufacture, as well as the waste generated by the two groups. Although a subcategory of nuclear batteries is indicated, hardly any data exist that describes its construction, leave alone the waste characteristics. Similar paucity in information exists on thermal batteries (such as calcium batteries), whose production and use are limited to few operations, especially in... 

A broadly accepted definition of process analytics is difficult to capture as the scope of the methodology has increased significantly over the course of its development. What was once a subcategory of analytical chemistry or measurement science has developed into a much broader system for process understanding and control. Historically, a general definition of process analytics could have been ... 

Note Sometimes line chemicals are considered as a subcategory of specialty chemicals. On the basis of the definitions given above this classification should be avoided.)... 

A subcategory of dopamine receptor antagonists has found some use as antiemetic agents administered in conjunction with antimmor chemotherapy. The preparation of one of these agents based on a benzotriazole nucleus begins with nitration of the amino salicylate ester (67-1). Catalytic hydrogenation of the product (67-2) leads to the orf/zo-diamine (67-3). Treatment of this last product with nitrous acid... 

Pleasures are outcomes that are subjectively desirable. They are a subcategory of reward. 

Deliberate behavior is a subcategory of reward-dependent behavior. It usually requires differential pleasure, not just reward, to maintain it. In... 

A subcategory is sometimes distinguished between fast noise (here taken to be much faster than the peak) and wander. 

Clearly, the two reactions are analogous and demonstrate that the reaction between hydroxide ion and hydrogen bromide is simultaneously a Brpnsted acid-base reaction and a Lewis acid-Lewis base reaction. Br0nsted acid-base reactions constitute a subcategory of Lewis acid-Lewis base reactions. 

The NHSDA is directed by the Substance Abuse and Mental Health Services Administration. Since 1971, it has provided annual estimates of the prevalence (patterns of use) of illicit drug, alcohol, and tobacco use in the United States, monitoring trends since that time. Results from this survey are based on a representative sample of the U.S. population 12 years and older. Marijuana-specific data are presented as a subcategory of illicit drugs. ... 

Reproductive toxicity includes a subcategory of effect during lactation ... 

Listen, stranger this was myself this was 1. (W. Faulkner, very last sentence in The Jail ) Alzheimer s disease has prevalence estimates of approximately 10% in individuals over age 65 and 30% in individuals over age 85 in the United States. Clinically AD presents as a progressive deterioration of selective cognitive domains, with initial symptoms indicating a decline in memory function, particularly a loss of episodic memory, which is considered a subcategory of declarative memory. But it is also well documented that a large number of elderly people have poorer memory performances, with prevalence of up to 40% in individuals over 60 years (Hanninen et al.,... 

In this chapter, we focus on the class of reactive intermediates that bear at least two unpaired electrons diradicals and carbenes. The exact definition of a diradical is somewhat in the eye of the beholder. Salem and Rowland provided perhaps the most general, yet effective, definition—a diradical is a molecule that has two degenerate or nearly degenerate orbitals occupied by two electrons. With this definition, carbenes can be considered as a subcategory of diradicals. In a carbene, the two degenerate molecular orbitals are localized about a single carbon atom. 

Emulsion systems can be considered a subcategory of lyophobic colloids. Like solid-liquid dispersions, their preparation requires an energy input, such as ultrasonication, homogenization, or high-speed stirring. The droplets formed are spherical, provided that the interfacial tension is positive and sufficiently large. Spontaneous emulsification may occur if a surfactant or surfactant system is present at a sufficient concentration to lower the interfacial tension almost to zero. 

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