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Search Results: 1 - 10 of 3522 matches for " Dimensional Analogy "
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On the Rotation of a Vector Field in a Four-Dimensional Space  [PDF]
Leonardo Simal Moreira
Applied Mathematics (AM) , 2014, DOI: 10.4236/am.2014.51015

Recently I published a paper in the journal ALAMT (Advances in Linear Algebra & Matrix Theory) and explored the possibility of obtaining products of vectors in dimensions higher than three [1]. In continuation to this work, it is proposed to develop, through dimensional analogy, a vector field with notation and properties analogous to the curl, in this case applied to the space IR4. One can see how the similarities are obvious in relation to the algebraic properties and the geometric structures, if the rotations are compared in spaces of three and four dimensions.

Analogies for Teaching Mutant Allele Dominance Concepts  [PDF]
Rebecca L. Seipelt-Thiemann
Creative Education (CE) , 2012, DOI: 10.4236/ce.2012.326133
Abstract: Analogies connect new and familiar concepts and ideas by providing a comfortable and known framework within which students can integrate new concepts. Use of analogies to aid understanding of abstract and/or complex ideas is commonly used in molecular sciences, such as genetics, molecular biology, and biochemistry. Five analogies for different mechanisms of mutant allele dominance, a seemingly counter-intuitive idea in genetics, were designed and assessed in an upper division undergraduate/masters level course. Each of the five mechanisms, haploinsufficiency, acquired function, poison product, increased activity, and inappropriate expression, was described in the context of a human disease and molecular mechanism and followed by a descriptive analogy which mirrored the molecular mechanism using real world items or a video clip. The majority of students reported increased interest, understanding, and engagement following the analogies, as well as decreased confusion.
Sludge Filtration Resistance Model Based on Electrical Resistance Analogy  [PDF]
L. W. Arimieari, J. O. Ademiluyi
Journal of Environmental Protection (JEP) , 2018, DOI: 10.4236/jep.2018.91001
In this study, a model for sludge filtration resistance (SFR) was developed using electrical resistance analogy by relating the rate at which water flows to the current of charge to determine Sludge Filtration Resistance using a typical single Electrical Resistance from a Direct Current Circuit. Synthetic sludge was successfully formulated for experimental purposes. The advantage of using synthetic sludge was that they permitted experiments to be performed on stable samples with known physical and chemical properties not subject to degradation by microbial activity. The result from the present study indicates the effect of conditioner on synthetic sludge filtration at variable pressure for sludge filtration resistance (SFR) and the trends in the results indicated that SFR reduces with increase in the concentration of dissolved salt (CaCl2). The linearity observed between plot of volume of filtrate versus time of filtration by correlation coefficient of R2 = 0.9292 (Figure 1) for 10 g of CaCl2 and R2 = 0.9294 (Figure 2) for 18 g of CaCl2. It is evident from the calculated values that they are very strong and have testified that the effect of conditioner on synthetic sludge filtration at variable pressure for sludge filtration resistance (SFR) using electrical resistance analogy is very satisfactory. When compared the existing data from SFR with other measure of filterability calculated using Carman’s equation to validate the model, it was observed that specific resistance decreases as the concentration of CaCl2 (dissolved salt) increases which agrees with SFR.
Calculation of Sound Ray’s Trajectories by the Method of Analogy to Mechanics at Ocean  [PDF]
V. P. Ivanov, G. K. Ivanova
Open Journal of Acoustics (OJA) , 2013, DOI: 10.4236/oja.2013.31001

In this paper, one of analogies available in the literature between movement of a material particle and ray propagation of a sound in liquid is used. By means of the equations of Hamilton describing movement of a material particle, analytical expression of a tangent to a trajectory of a sound ray at non-uniform ocean on depth is received. The received expression for a tangent differs from traditional one, defined under law Snelius. Calculation of trajectories, and also other characteristics of a sound field is carried out by two methods: first—traditional, under law Snelius, and second—by the analogy to mechanics method. Calculations are made for canonical type of the sound channel. In the region near to horizontal rays, both methods yield close results, and in the region of steep slope, the small distinction is observed.

Influences of Interfacial Shear in Turbulent Film Boiling on a Horizontal Tube with External Flowing Liquid  [PDF]
Hai-Ping Hu
Engineering (ENG) , 2015, DOI: 10.4236/eng.2015.711066
Abstract: The paper presents a theoretical study about turbulent film boiling on a horizontal tube with external flowing liquid. The high velocity flowing liquid is determined by potential flow theory. By using Colburn analogy, the present paper successfully addresses a new model to predict the vapor-liquid interfacial shear, applies the interfacial shear into the forced balance equation and then combines the forced balance equation, the energy equation and thermal energy balance equation. At last, both the film thickness and Nusselt number can be obtained. Besides, the present analysis also includes radiation effects, temperature ratio and eddy diffusivity. Finally, a comparison between the results of the present study and those reported in previous theoretical and experimental studies is provided.
La analogía como estrategia para desarrollar el pensamiento
EPISTEME , 2007,
Abstract: the necessity of motivating or stimulating the thinking capabilities of our students has been frequently emphasized; in fact, this has even been suggested in a variety of bibliographical sources. however, it is necessary to think over the importance that such thinking capabilities have, as well as the different alternatives that can be generated to promote them in students. in this respect, the analogical process is proposed as one of the many effective activities to achieve this goal.
The role of extra-contextual and contextual similarities in analogical mapping
Minervino,Ricardo A.; Molinari Marotto,Carlos;
Interdisciplinaria , 2004,
Abstract: the psychological validity of the treatment given to semantic similarity constraints in analogical mapping by the structure-mapping theory of gentner (gentner, 1983, 1989; gentner, & markman, 1997), and the multiconstraint theory of holyoak, and thagard (1989a, 1995) was assessed in an experiment. participants were asked to interpret an analogy in which, for some source elements, syntactic, and pragmatic criteria permitted alternative mappings, which were ambiguous when semantic principles were taken into account. data showed that people base mappings on contextual semantic similarities, rather than on extra-contextual semantic similarities like the ones incorporated by these theories in their computational models. the results are discussed in light of the criticism formulated by hofstadter, and the farg group (1995) of the way semantics is treated by the dominant style of modeling analogical mapping.
Mumbrú Mora,Alejandro;
Eidos , 2009,
Abstract: the article sensibility and morality in kant presents an exposition of kant's practical philosophy from the epistemological assumptions that link the entire transcendental philosophy. according to kant, the basis of the possibility that our concepts are cognitively valid rests on the possibility of referring or exposing them to sensibility. therefore the representation (exposition or sensibilization) of the concept of moral duty arises as especially problematic, since the universality and necessity inherent to this concept is fully inderi-vable from experience. this article delves into the kantian concept of ?symbolic exposition? as a signifying model that agrees with the specificity of morality. it also tries to clarify how the kantian requirement of an analogical use of the concept of nature in the reflection over the moral correction of our actions should be understood.
Eidos , 2008,
Abstract: in bergson's work, intuition and sympathy are not synonymous terms. each of them are two different aspects of his method. intuition means the intimate relation of the spirit with itself as a pure form of interiority, the spiritual field considered as duration. but, this means that the spirit can't reach a reality out of itself. here intervenes sympathy. it reaches the material in matter, the vital in living forms, the social in societies, the personal in individual existences. phenomena are perceived according to their inner sense, in duration as they are reflected in our spirit. this is the double relation we try to describe.
La Eficacia del Paradigma de Producción para Promover la Recuperación de Análogos Interdominio
Trench,Máximo; Oberholzer,Nicolás; Adrover,Fernando; Minervino,Ricardo;
Psykhe (Santiago) , 2009, DOI: 10.4067/S0718-22282009000100004
Abstract: experimental studies using a reception paradigm show that interdomain analog retrieval is intrinsically difficult, and far less likely to occur than intradomain analogue retrieval. using a production paradigm, blanchette and dunbar (2000) obtained contradictory results. in experiment 1 we replicated blanchette and dunbar's study using materials that give more validity to their results. experiment 2 was designed to test the hypothesis that a structural encoding of the base and target analogs promotes the high rate of interdomain retrieval observed under a production paradigm. our results showed that interdomain retrieval was scarce and less frequent than intradomain retrieval, suggesting that the hypothesis advanced by blanchette and dunbar doesn't account for the data obtained using a production paradigm.
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