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More recently, a class of standard probability measures has been found whose expression of more likely than not is exactly described by default rules.
Our analysis applies to a broad class of standard numerical methods, and is independent of the linearization and of the iterative algebraic solvers employed.
We characterize symmetric equilibrium in a broad class of standard auctions within this framework, in the process extending the classic revenue equivalence results of Myerson (1981), Riley and Samuelson (1981) and Levin and Smith (1994) to environments with endogenous and arbitrarily selective entry.
For a more complex case, where a traditional mesh is augmented with some additional diagonal links, after providing a telling expression for the average distance between its two processors, we prove that this latter expression cannot be represented in a closed-form format, with respect to a fairly general class of "standard operations", namely, the class of the hypergeometric terms.
The class of such metric spaces is always larger than the class of standard metric spaces, b-metric spaces, dislocated metric spaces, dislocated b-metric spaces, et cetera.
For example, variation within the class of those with normal color vision (see subsection 2.4 below), or variation within the class of standard illuminants (different kinds of daylight, say), can by themselves account for a difference in color appearance.
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So far, variational constitutive updates have been developed for different classes of standard dissipative solids, i.e., solids characterized by associative evolution equations and flow rules.
Specifically, the USPS continues to post deteriorating performance standards for all classes of standard and first class mail, which has led to well-documented and adverse consequences.
The impact of depression and/or anxiety on the use of five classes of standard prophylactic medications was minimal.
Table 4 Summarized data for five classes of standard prophylactic medications (betablocker, flunarizine, valproate, topiramate, amitriptyline) in patients with EH and CH with and without depression and/or anxiety, differentiating "none" or "one and more prophylactics".
In addition to the questionnaire completed by the patients, the treating neurologist filled in a questionnaire covering the clinical headache diagnosis and ever-before intake of five classes of standard prophylactic medication (betablocker, flunarizine, valproate, topiramate, amitriptyline).
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