To control the lumber production in a sawmill, a three-stage system is proposed. First, a quick program creates many cutting patterns and chooses the most valuable pattern for each log within a log class given a price list. A combination of a log class and a price list resulting in a set of lumber output proportions creates a “campaign”. Second, a Powers-of-Two optimization model calculates “campaign lot sizes” to minimize inventory and meet deterministic demand. The goal is to develop a minimum cycle stock inventory level for all the products over a time horizon. Third, five control approaches are created based on the results of the PoT model and evaluated using simulation environment to monitor inventory levels in the case of stochastic demand. This research indicates that in a divergent-stochastic environment such as a sawmill, situations with noisy batch order arrivals do pose difficulties when Powers- of-Two control approaches are used.

University of Technology, Sydney. Faculty of Education. / This thesis reports an investigation into children's understanding of learning, as they engage with an e-Iearning design challenge. It begins by making a case that children's views of learning are of crucial significance, not only because of their position as pre-eminent learners in families and societies, but also because their learning is at the heart of our culture's aspirations for education. Then, it examines a selection of prior studies of learning in e-design contexts in order to gauge the advantages of seeking the views of children about learning in an e-design context. This consideration revealed the technological and educational potential of e-design, suggesting that such a context would be opportune here. Fortuitously, a large, ARC-funded Linkage Project (GENESIS - Generating e-Iearning Systems in Schools) provided just such an e-design context. In this project, researchers were keen to investigate whether the slowness of schools in appropriating e-Iearning might be offset when students have a sustained opportunity to conceive, design and, as far as possible, build an e-Iearning environment in which they and other students could explore questions they were passionately curious about. As a case study within the GENESIS Project, this study followed Papert's (1973) five-step process of educational research. First, a theory of education (a biologically based generative theory) was selected. Next, the ensuing set of conditions for the intellectual growth of children (the e-Iearning design challenge itself) was laid out. These conditions were then implemented within the context of The GENESIS Project: the children were equipped with the opportunity and resources to design an e-Iearning environment to explore a science-and technology topic of their choice (How and why do we think? How come we're not born with the knowledge we know now?). Of the large set of project data, six accounts were selected as representative of the diversity and commonality of children's learning and their understanding of learning in this study. Findings revealed that these children understand learning as generating, testing and thereby modifying ideas, they appreciate that these events are influenced by each learner's values and they recognise value in undertaking this knowledge gaining activity as part of a learning community. Furthermore, these children explicitly enact opportune learning experiences, particularly technologically, demonstrating their fluency as technological thinkers, capable of having technological ideas about learning.

本篇論文主要探討長度為n的k元數列，其中若有i個偶數，j個奇數， 個不限制其奇偶，符合條件的數列個數。第一章 先預備後面計算所需要的基本知識，第二章 由生成函數開始推導公式，第三章 再討論 時的特殊情況，並利用組合方法來加以證明。第四章 針對生成函數推導出的公式再深入探討。第五章 檢討與展望。

The present paper deals with a study of a two variable polynomial Pn(x) analogues to the Legendre polynomial Pn(x). The paper contains differential recurrence relations, a partial differential equation, double generating functions, double and triple hypergeometric forms, a special property and a bilinear double generating function for the newly defined polynomials Pn,k(x, y).

No description available.

The main goal of this thesis is to create a comprehensive view of the measurement of assets in accordance with International Financial Reporting Standards with closer focus on the impaiment tests of assets in accordance with IAS 36 Impairment of Assets. The thesis is divided into several parts the first of which is general and deals with the definition of assets, the conditions for their dislosure in the statement of financial position and methods of their valuation. This part is followed by the third chapter, which at first approaches the valuation models applicable on current and non-current assets, which are excluded from the scope of IAS 36, and then describes the principles of impairment tests of individual assets. The fourth chapter deals with impairment tests of cash-generation units, including goodwill and the allocation of corporate assets. The last part of this thesis contains examples from real financial statements, aim of which is to approach demands of IAS 36 concerning disclosure.

Consider a sequence (Formula presented.) of i.i.d. uniform random variables taking values in the alphabet set {1, 2,…, d}. A k-superpattern is a realization of (Formula presented.) that contains, as an embedded subsequence, each of the non-order-isomorphic subpatterns of length k. We focus on the (non-trivial) case of d = k = 3 and study the waiting time distribution of (Formula presented.). Our restricted set-up leads to proofs that are very combinatorial in nature, since we are essentially conducting a string analysis.

Submitted in fulfilment of the requirement for the Masters of Art (Community Work) in the Department of Social Work University of Zululand, South Africa, 2001. / This study is about the significance of income generating projects in Kwa-Ngwanase area. The study was conducted on poverty alleviation projects funded by the Department of Welfare and Population Development As an evaluative research, semi-structured interviews were conducted. A sample of twenty projects was drawn, fourty respondents were interviewed where two were from each project-Related literature has been reviewed that focuses on poverty alleviation and income generating projects. Various recommendations have been made based on the findings of the study. The findings of the study indicated a need for training project members in capacity building. Project members also need to be motivated in one way or the other so that they can develop a sense of ownership and work hard for the success of their own projects. The research findings indicated clearly that the strategies and policies were not effective enough in achieving the desired goals of poverty alleviation.

Submitted in partial fulfillment of the requirements for the degree of Masters in Community work at the University of Zululand in the Department of Social Work, 2010. / The advent of the democratic transformation in South Africa during 1994, brought with it high hope that income , poverty and inequity would soon be significantly reduced from the high levels that existed during the Apartheid era. Though the development approach was adopted by the Department of Social Development in 1997, it has, however, not yet achieved its purpose. The poverty alleviation programme came as a ubstitut4 of maintenance grants. The grants were phased out in the period of three years whilst the Department of Social Development ws introducing the new approach of funding community projects. The study is about the impact of income generating projects by women in Utrecht area. The study was conducted on poverty alleviation projects funded by the Department of Social Development. An evaluative research method was followed in wwhich data was gathered through semi-structured interviews. A sample of twenty projects was drawn and respondents were interviewed where two were from each project. Related literature has been reviewed that focuses on poverty alleviation and income generating projects. .Various recommendations have been made on the findings of the study. The findings of the study indicated the need for training project members in capacity building. Project members also need to be motivated in one way or another so that they can develop a sense of ownership and work hard for the success of their own projects. Progress in poverty alleviation has been very slow and uneven. Community projects have failed poverty-stricken communities to improve their socio-economic standards. The research findings indicated clearly that the strategies and policies were not effective enough in achieving the desired goals of poverty alleviation. It has been noted that what actually made programmes for poverty alleviation to be disabled ea its implementation in the community.

The purpose of this study is to analyze the impact of rapid growth on the various revenue and expenditure categories at the local level. A model is presented to project local revenues and expenditures based upon projected per capita income, population, and average daily attendance. The model is based upon previous models from a review of the literature with modification and additions by the author. Revenues and expenditures are estimated simultaneously reflecting the budgetary process at the local level. Coefficients in the model are estimated using sample data from Duchesne and Uintah counties. These coefficients are then used to project the effects of oil shale development in the region. Different policies and changes in current policies are presented to lessen or alleviate the adverse impacts of rapid growht on local cities and school districts.