this paper presents the bending analysis of annular plates by the indirect trefftz boundary approach. the formulation for thin and thick plates is based on the kirchhoff plate theory and the reissner plate theory. the governing equations are therefore a fourth-order boundary value problem and a sixth-order boundary value problem, respectively. the trefftz method employs the complete set of solu...

Previous works mainly focused on estimating direct relationship strength in social networks. If two users are not directly connected in a social network, there is no direct relationship. In order to estimate the relationship strength between two indirectly connected users as well as directly connected users, this paper proposes an estimation method for relationship strength in weighted social n...

Shioda described in his article [6] a method to compute the Lefschetz number of a Delsarte surface. In one of his examples he uses this method to compute the rank of an elliptic curve over kptq. In this article we find all elliptic curves over kptq for which his method is applicable. For these curves we also compute the maximal Mordell-Weil rank.

Contradictory results have been reported regarding the accuracy of various methods used to assess student learning in higher education. The current study examined student learning outcomes across a multi-section and multiinstructor psychology research course with both indirect and direct assessments in a sample of 67 undergraduate students. The indirect method measured student perceived knowled...

Carnuba wax consists chiefly of myricyl cerotate (MW 817.4) and small quantities of free cerotic acid (C26H52O2, Mw 396.7) and myricyl alcohol (C30H62O, mp 90 ̊C). Of the two common extraction solvents, ethyl ether or petroleum ether, Lewkowitsch prefers the former. Concerning separation of phases, he advocates addition of small amounts of alcohol or caustic, and he also states that formation of...

Global optimization problems continue to he a challenge in computational mathematics. The field is progressing in two streams: deterministic and heuristic approaches. In this paper, we present a hybrid method that uses the discrete gradient method. which is a derivative free local search method, and evolutionary strategies. We show that the hybridization of the two methods is better than each o...

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