The Code of Federal Regulations (CFR) defines performance based technical criteria for solid waste landfill liner design alternatives in terms of predicted impacts to groundwater as the basis for approval by the Director of an approved State. This approach first requires the designer to estimate the amount of leakage through the liner system into the unsaturated subsurface vadose zone below the...

Linking heterogeneous resources is a major research challenge in the Semantic Web. This paper studies the task of mining equivalent relations from Linked Data, which was insufficiently addressed before. We introduce an unsupervised method to measure equivalency of relation pairs and cluster equivalent relations. Early experiments have shown encouraging results with an average of 0.75~0.87 preci...

This paper examines the key issues regarding The Interaction Equivalency Theorem posited by Anderson (2003a), which consists of the three interaction elements found in formal education courses among teacher, student, and content. It first examines the core concepts of the theorem and argues that two theses of different dimensions can be articulated in the theorem, namely, value and amount (or q...

Definition 2.2 (Enumeration Order Reducibility on Listings and sets) 1. For listings , : we say is “Enumeration order reducible” to and write , if and only if, , ( . 2. For r.e. sets , , we say is “Enumeration order reducible” to and write , if and only if, for any listing of there exist some computable function (from the listings of to the listings of ) such that . 3. For two listings , (r.e. ...

Throughout this article we develop and change the definitions and the ideas in [1], in order to consider the efficiency of functions and complexity time problems. The central idea here is effective enumeration and listing, and efficiency of function which is defined between two sets proposed in basic definitions. More in detail, it might be that h and were co-order but the velocity of them be d...

For nearly a century, the standard for determining the equivalency of academic courses and degrees has relied on time in the classroom as the primary indicator. Though widely accepted and convenient, time as the standard (i.e., the Carnegie unit) offers little utility for today's institutions of higher education. With the introduction and proliferation of instructional technologies and distance...