We describe the computation which resulted in the title of this paper Furthermore we give an analysis of the data collected during this computation From these data we derive the important observation that in the nal stages the progress of the double large prime variation of the quadratic sieve integer factoring algorithm can more e ectively be approximated by a quartic function of the time spen...

Behavior, and the Anthropometric Examination. The second part, dealing with the Norms of Infant Growth, describes behavior norms, gives a summary of maturity levels, a functional syllabus, and also anthropometric norms. The third part is devoted to an Analytic Appraisal of Growth Status and includes the principles of genetic analysis, the analytic developmental schedule, and the clinical apprai...

Payment for Performance (P4P) schemes by which physicians get a financial reward as long as they reach quality and efficiency targets provided by regulator have become increasingly popular in recent years in OECD countries (1) : in 2012, P4P program for primary care physicians were implemented in about 15 OECD countries. In the US, the number of P4P schemes has grown spectacularly, from 39 in 2...

Using a time series model to mimic an observed time series has a long history. However, with regard to this objective, conventional estimation methods for discrete-time dynamical models are frequently found to be wanting. In fact, they are characteristically misguided in at least two respects: (i) assuming that there is a true model; (ii) evaluating the efficacy of the estimation as if the post...

In laboratory medicine, several studies have described the most frequent errors in the different phases of the total testing process, and a large proportion of these errors occur in the pre-analytical phase. Schemes for registration of errors and subsequent feedback to the participants have been conducted for decades concerning the analytical phase by External Quality Assessment (EQA) organizat...

Using the notion of anti fuzzy points and its besideness to and non-quasi-coincidence with a fuzzy set, new concepts of an anti fuzzy subalgebras in BCK/BCI-algebras are introduced and their inter-relations and related properties are investigated in [3]. The notion of the new fuzzy subalgebra with thresholds are introduced and relationship between this notion and the new fuzzy subalgebra of a B...

Although emotional expressivity figures prominently in several theories of psychological and physical functioning, limitations of currently available measurement techniques impede precise and economical testing of these theories. The 17-item Emotional Expressivity Scale (EES) was designed as a self-report measure of the extent to which people outwardly display their emotions. Reliability studie...

A generalization of Schauder basis associated with the concept of generalized analytic functions is introduced. Corresponding concepts of density, completeness, biorthogonality and basicity are defined. Also, corresponding concept of the space of coefficients is introduced. Under certain conditions for the  corresponding operators, some properties of the space of coefficients and basicity crite...