The terminology and notation used here have been introduced in the following articles: [3], [7], [17], [2], [4], [12], [13], [14], [16], [1], [5], [9], [15], [18], [10], [8], [20], [21], [19], [11], [22], and [6]. For simplicity, we use the following convention: n, i denote elements of N, X, X1 denote sets, r, p, s, x0, x1, x2 denote real numbers, f , f1, f2 denote partial functions from R to R...

introduction: a large number of software programs have been used in dentistry for diagnosis and treatment planning to date. however, due to promotion of programming languages and developments in dental sciences, it is necessary to develop and update these softwares. use of softwares for treatment planning for removable partial dentures has been popular for some time and always new softwares hav...

A partial algebra = (A; ( f A i )i∈I) consists of a set A and an indexed set ( f A i )i∈I of partial operations f A i :A ni → A. Partial operations occur in the algebraic description of partial recursive functions and Turing machines. A pair of terms p ≈ q over the partial algebra is said to be a strong identity in if the right-hand side is defined whenever the left-hand side is defined and vic...

Y. Huang acknowledges partial support from a UCF Graduate College Presidential Fellowship and National Science Foundation (NS F) grant No. 1200566. C. Li acknowledges partial support from NSF grants No. 0806931 and No. 0963146. M. Georgiopoulos acknowledges partial support from NSF grants No. 1161228 and No. 0525429. G. G. Anagnostopoulos acknowledges partial support from NSF grant No. 1263011....

We introduce a natural partial order ≤ in structurally natural finite subsets of the cobweb prefabs sets recently constructed by the present author. Whitney numbers of the second kind of the corresponding subposet which constitute Stirling-like numbers‘ triangular array are then calculated and the explicit formula for them is provided. Next in the second construction we endow the set sums of pr...

OBJECTIVE This study aimed to resolve discrepant findings in the literature regarding the effects of massed repetition and a single long study presentation on memory in amnesia. METHOD Experiment 1 assessed recognition memory in 9 amnesic patients and 18 controls following presentation of a study list that contained items shown for a single short study presentation, a single long study presen...