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A revisit to some basic concepts for the complete understanding of physical quantities and their mathematical handling
Get PDFThis paper is concerned with an unambiguous understanding of physical quantities at a basic level where one is to deal with mathematical symbols linked to scientific concepts. To form an unambiguous understanding of physical quantities and their mathematical handling, a revisit has been made to some of the well-known notations/concepts such as: (i) symbols for physical quantities, (ii) quantity calculus, (iii) principle of unit-independence, and (iv) various kinds of physical equations. The fact that prior knowledge about quantity calculus, the principle of unit-independence, and the notations for physical quantities is essential to mathematically handle physical quantities has been emphasized, along with considering the importance of numerical value equations for physical quantities
Discovery of the existence of misleading procedure of handling physical quantities at many places of the traditional literature: Physical quantities in numerical probelm solution
No full textThis paper reports on the discovery of misleading procedure adopted at many places of the traditional resources regarding the mathematical handling of physical quantities. From an extensive literature search, it has been detected that in solving numerical problems based on the mathematical statement of a law in physics or a physical equation, the explicit identity of the symbol of a physical quantity remaining present in the relevant equation, has not at all been considered. Only the numerical value of the symbol representing a physical quantity has been given top priority during the substitution procedure there by totally ignoring simultaneous substitution of the unit of the physical quantity along with its numerical value. With a view to getting rid of such misleading procedure, emphasis has been given on retaining the explicit identity of the symbol of physical quantity (viz. physical quantity = numerical value × unit) at all places of the traditional literature to enhance the teaching learning process in respect of mathematical handling of physical quantities while dealing with numerical problems based on mathematical equations involving symbols of physical quantities
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Get PDF“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Get PDFWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Discovering the Generalized Equations of Motion
Get PDFThis paper is concerned with the development of some novel formalisms falling within the purview of classical mechanics. It reports on the discovery of a set of generalized equations of rectilinear motion. The ingenuity behind the present discovery lies in the novel thought of considering the velocity, acceleration and displacement vectors to be in arbitrary directions unlike the long running techniques of derivation of the traditional equations of kinematics in which all the aforesaid vectors are assumed to be in parallel directions. The generalized formalisms developed are self sufficient in respect of solving real world problems of classical mechanics and with the aid of their help, the need of using the ambiguous sign convention for solving typical problems of kinematics by traditional equations of rectilinear motion could be dispensed with. Furthermore, by using the generalized equations of motion discovered, projectile motion can be dealt with satisfactorily without going through the traditional technique of decomposition of relevant vectors along horizontal and vertical directions
Use of tangent and normal vectors for the derivation of equations of tangent and normal
Get PDFRemaining within the frame work of vector algebra and vector calculus, this paper makes use of the tangent and normal vectors to a given curve at a given point on it for the derivation of the equations of tangent and normal to the curve at that point. The techniques of derivation offered are generalized, simple and straight forward. Furthermore, unlike the traditional techniques, the present scheme increases the range of applicability of one of the fundament concepts of vector calculus (namely, gradient of a scalar point function) as well. As a result, this contribution must have educational value and it will enrich and sophisticate the traditional literature thereby enhancing the same as well
Giving Birth to Vectorial Coordinate Geometry II
Get PDFThis paper is an extension of the earlier work titled “Giving birth to vectorial coordinate geometry”, which appeared in volume 3 of MathLab journal in 2019. While the novel concept of vectorial coordinates has been applied in the said work for the derivation of some useful results of two-dimensional Cartesian coordinate geometry, the concept of novel vectorial coordinates has been employed in the present scheme for the derivation of some standard results of three-dimensional Cartesian coordinate geometry. The fact that Vector algebra is a more powerful mathematical tool gets justified from this study. The vectorial treatments offered are novel, simple and straight forward. Furthermore, they will enhance the deepening of thought and understanding about Vector algebra and its application. Thus this contribution will enrich the relevant literature. At the same time, it increases the range of applicability of Vector algebra as well  
Giving Birth to Vectorial Coordinate Geometry
Get PDFThis paper deals with certain foundational questions about the adequacy of the long- running Cartesian coordinate geometry which is based on the abstract concept of “sign convention” for the study of the physical world. To establish a bridge between theory and practice, the present paper purports to introduce the “Vectorial coordinate geometry” that makes use of a modern notational system to work as an alternative for the long-running historical system. The proposed scheme will be equally applicable to the “Pure mathematical world” as well as to the “Real physical world” and is much clearer leaving no room for confusion
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