Language as a Geometry in Wittgenstein"s Tractatus

In TLP 4.011, while admitting that propositions expressed by the phonetic notation, or the alphabet, just like the written notes of a piece of music, do not seem at first sight to be pictures of what they represent, the Tractatus insists that those "sign-languages" (that is, the phonetic notation and the written musical notes) prove to be pictures of what they represent (that is, our speech and the piece of music, respectively) "even in the ordinary sense". (TLP 4.016 also says that "alphabetic script developed out of [hieroglyphic script] without losing what was essential to depiction".) So, contrary to the view of some commentators (e.g. Pears 1987, 115-121), instead of making an analogy here, the Tractatus holds that a proposition is a picture literally. How can a proposition be a picture literally

Quaternionic Electroweak Theory

We explicitly develop a quaternionic version of the electroweak theory, based on the local gauge group $U(1, q)_{L}\mid U(1, c)_{Y}$. The need of a complex projection for our Lagrangian and the physical significance of the anomalous scalar solutions are also discussed.Comment: 12 pages, Revtex, submitted to J. Phys.

Context dependent learning: its value and impact for workplace education

Purpose – The purpose of this paper is to describe how a management development programme based on situated learning theory resulted in change for individuals, organisational culture and performance. The case study illustrates how new understandings about learning in the workplace and in higher education points towards the need to take account of the context in which learners utilise their knowledge and skills. Design/methodology/approach – Quantitative and qualitative strategies were used to provide an evaluation of the impact of a management development programme in a group of companies. A questionnaire, focus groups and semi-structured interviews were used to collect data on three cohorts of supervisors and middle managers at different stages of the programme. A triangulated approach was adopted towards data analysis that illuminated a broad and deep change process. Findings – Positive cultural change was a significant benefit to the host organisation from the training programme. It was apparent that training can move beyond individual development to bring about organisational gains. Research limitations/implications – Future research might adopt a longitudinal design and facilitate a co-researcher approach using students’ learning logs of workplace experiences. Practical implications – Situated approaches to learning in higher education and the workplace need to be developed further to enhance workplace performance. A proposal is made for “learning consultants” to move between the two environments and facilitate knowledge exchange and improve understanding of the variety of learning contexts in business and educational settings.</p

Three-Dimensional Myoarchitecture of the Lower Esophageal Sphincter and Esophageal Hiatus Using Optical Sectioning Microscopy.

Studies to date have failed to reveal the anatomical counterpart of the lower esophageal sphincter (LES). We assessed the LES and esophageal hiatus morphology using a block containing the human LES and crural diaphragm, serially sectioned at 50 μm intervals and imaged at 8.2 μm/pixel resolution. A 3D reconstruction of the tissue block was reconstructed in which each of the 652 cross sectional images were also segmented to identify the boundaries of longitudinal (LM) and circular muscle (CM) layers. The CM fascicles on the ventral surface of LES are arranged in a helical/spiral fashion. On the other hand, the CM fascicles from the two sides cross midline on dorsal surface and continue as sling/oblique muscle on the stomach. Some of the LM fascicles of the esophagus leave the esophagus to enter into the crural diaphragm and the remainder terminate into the sling fibers of the stomach. The muscle fascicles of the right crus of diaphragm which form the esophageal hiatus are arranged like a "noose" around the esophagus. We propose that circumferential squeeze of the LES and crural diaphragm is generated by a unique myo-architectural design, each of which forms a "noose" around the esophagus

Characterization results on weighted minihypers and on linear codes meeting the G(r)iesmer bound

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Employee lay-off under different modes of restructuring.

In recent years, there has been a growing concern about the effect of globalisation on employment in most West European countries. More and more firms had to drastically restructure their operations in order to survive the rise in global competition. Restructuring often leads to a collective lay-off of employees. We use a theoretical model to examine how firm and industry characteristics have an impact on different modes of restructuring. (1) Close down part of its activities and relocate abroad, (2) Downsizing through a significant decrease in employees or (3) Dismiss all employees and exit the market. Using a unique sample of Belgian firms reporting collective layoffs, we test empirically the predictions of the model. Relocating firms are found to be most profitable among the restructuring firms, have invested more in the recent past, operate in sectors with significant economies of scale and belong more often to a multinational group than firms opting for downsizing or exit. Downsizing firms are more capital intensive than relocating firms, while exiting firms are less profitable, smaller, younger and more labour intensive than downsizing or relocating firms.Belgian firms; Characteristics; Competition; Country; Downsizing; Economies of scale; Economy; Employees; Employment; Exit; Firms; Impact; Industry; Market; Model; Order; Prediction; Predictions; Relocation; Reporting; Research; Restructuring; Sector;

Partial ovoids and partial spreads in symplectic and orthogonal polar spaces

We present improved lower bounds on the sizes of small maximal partial ovoids and small maximal partial spreads in the classical symplectic and orthogonal polar spaces, and improved upper bounds on the sizes of large maximal partial ovoids and large maximal partial spreads in the classical symplectic and orthogonal polar spaces. An overview of the status regarding these results is given in tables. The similar results for the hermitian classical polar spaces are presented in [J. De Beule, A. Klein, K. Metsch, L. Storme, Partial ovoids and partial spreads in hermitian polar spaces, Des. Codes Cryptogr. (in press)]

Relevant market delineation with the use of strategic business information.

In his paper a, overview of methods used in antitrust analysis to delineate relevant markets is provided and shortcomings are pointed out. A practical methodology to delineate relevant geographical and product markets is developed, starting from the theoretical definition of a relevant antitrust market. Based on criteria used by business strategists in segmenting markets, the new methodology makes use of strategic information on the position of a company and its competitors in a specific industry sector to delineate relevant markets. The usefulness of the new methodology is illustrated from the European truck industry.