Minimum-Gap Evaluation Model for Multi-Constraint in One Dimension

Author(s):  
Chang-Hsin Kuo ◽  
Jhy-Cherng Tsai

The gap between components in an assembly refers to the performance of the assembly. While variation of the gap is associated with tolerancing specifications of components, it is an important issue to investigate the limits of the gap between corresponding components. In this work, we treat the minimum gap gmin, the dominant dimension for a multiconstraint assembly in one dimension, as an index related to the performance of the assembly. We then propose a calculation method for finding the minimum gap, when fitting conditions of linear dimensions are linearly independent. If the fitting conditions are not linear independent, we will find an independent probability distribution function which is defined to conform to all the other fitting conditions. Finally, an evaluation model for multi-constraint in one dimension, similar to the idea of Taguchi loss function, is proposed with an illustration. The assembled state of an assembly with multiconstraint in one dimension thus can be evaluated based on the model and calculation method proposed in this paper. By comparing the minimum gap, the assembly with least clearance is then identified.

Author(s):  
David M. Wittman

Galilean relativity is a useful description of nature at low speed. Galileo found that the vertical component of a projectile’s velocity evolves independently of its horizontal component. In a frame that moves horizontally along with the projectile, for example, the projectile appears to go straight up and down exactly as if it had been launched vertically. The laws of motion in one dimension are independent of any motion in the other dimensions. This leads to the idea that the laws of motion (and all other laws of physics) are equally valid in any inertial frame: the principle of relativity. This principle implies that no inertial frame can be considered “really stationary” or “really moving.” There is no absolute standard of velocity (contrast this with acceleration where Newton’s first law provides an absolute standard). We discuss some apparent counterexamples in everyday experience, and show how everyday experience can be misleading.


2008 ◽  
Vol 45 (03) ◽  
pp. 879-887 ◽  
Author(s):  
Nader Ebrahimi

Nanosystems are devices that are in the size range of a billionth of a meter (1 x 10-9) and therefore are built necessarily from individual atoms. The one-dimensional nanosystems or linear nanosystems cover all the nanosized systems which possess one dimension that exceeds the other two dimensions, i.e. extension over one dimension is predominant over the other two dimensions. Here only two of the dimensions have to be on the nanoscale (less than 100 nanometers). In this paper we consider the structural relationship between a linear nanosystem and its atoms acting as components of the nanosystem. Using such information, we then assess the nanosystem's limiting reliability which is, of course, probabilistic in nature. We consider the linear nanosystem at a fixed moment of time, say the present moment, and we assume that the present state of the linear nanosystem depends only on the present states of its atoms.


1999 ◽  
Vol 23 (4) ◽  
pp. 535-559
Author(s):  
Alice Bee Kasakoff

Imagine a fourfold table in which one dimension is “present versus past” and the other “exotic versus home.” Traditionally, social and cultural anthropology’s domain has been the exotic’s present and history’s domain the home’s past. A third box, the home’s present, has been occupied by sociology, while the fourth, the exotic’s past, has usually been the province of anthropologists too because other disciplines—with the exception, perhaps, of ethnohistorians—are usually even less interested in exotic peoples’ past than in their present. These domains are now in flux. I argue, in what follows, that only when the oversimplified ideas about time and space that have created them are seriously questioned will anthropology find a secure “place” in social science history.


Filomat ◽  
2019 ◽  
Vol 33 (4) ◽  
pp. 1179-1184
Author(s):  
Ana Velimirovic ◽  
Milan Zlatanovic

Using the non-symmetry of a connection, it is possible to introduce four types of covariant derivatives. Based on these derivatives, several types of Ricci?s identities and twelve curvature tensors are obtained. Five of them are linearly independent but the other curvature tensors can be expressed as linear combinations of these five linearly independent curvature tensors and the curvature tensor of the corresponding associated symmetric space. The semisymmetric connection is defined and the properties of two of the five independent curvature tensors are analyzed. In the same manner, the properties for three others curvature tensors may be derived.


2016 ◽  
Vol 6 (1) ◽  
pp. 1
Author(s):  
Ana Inés Renta Davids ◽  
Manel Fandos-Garrido ◽  
José Miguel Jiménez-González ◽  
Ángel Pío González-Soto

<p>The study draws on findings from a survey of adults in non-formal continuing education under the professional training for employment framework in Spain. Quantitative analysis was carried out to a sample of 425 respondents from three different educational providers. Firstly, a factor analysis was conducted to fourteen motives for participation items. A two-dimension model of motivation to participate was identified: one dimension oriented towards job-improvement and the other dimension oriented towards learning. Secondly, a variance analysis was conducted according to demographics variables. Results showed significant statistical differences in the first dimension according to demographic variables. This might indicates an instrumental motivation in participation in work-related training among different groups who try to cope with different types of drawbacks.</p>


2019 ◽  
Author(s):  
Jennifer Lauren Ray ◽  
Peter Mende-Siedlecki ◽  
Ana P. Gantman ◽  
Jay Joseph Van Bavel

Over the past few decades, two-factor models of social cognition have emerged as the dominant framework for understanding impression formation. Despite the differences in the labels, there is wide agreement that one dimension reflects sociability potential, and the other, competence. One way in which the various two-factor models do clearly differ, however, is in the way the dimensions incorporate or produce evaluations of morality. Aristotle saw morality as the most important basis on which to form positive evaluations, because competence and sociability could only be virtuous, sincere, and trustworthy if expressed through a moral character. This chapter highlights research demonstrating the unique and possibly primary role of morality in social cognition. We clarify the dynamic, interactive, and conjoint effects of morality on social perception, and argue morality, competence, and sociability are three influential and interactive dimensions of social perception.


1973 ◽  
Vol 36 (3) ◽  
pp. 807-810 ◽  
Author(s):  
Wendell J. Goesling

A color-form sorting task was given to 40 institutionalized male retardates divided into two groups equated in mental age. Part I, a preference test, required that 8 stimulus figures, varying in color (red or green) and form (triangle or square), be sorted into 2 bins each marked by a comparison stimulus-figure resembling test stimuli on only one dimension. In Part II, stimuli were again presented but with the instructions to shift the basis of categorization. The procedure with both groups differed only in the method of stimulus presentation; one group received 8 figures simultaneously, the other successively. Retardates in general preferred color to form in categorization and ability to shift dimensions is facilitated by successive presentation.


2002 ◽  
Vol 2 (Special) ◽  
pp. 578-595
Author(s):  
N. Konno

In this paper we consider limit theorems, symmetry of distribution, and absorption problems for two types of one-dimensional quantum random walks determined by $2 \times 2$ unitary matrices using our PQRS method. The one type was introduced by Gudder in 1988, and the other type was studied intensively by Ambainis et al. in 2001. The difference between both types of quantum random walks is also clarified.


1982 ◽  
Vol 85 ◽  
pp. 213-221 ◽  
Author(s):  
Toyokazu Hiramatsu

Let Γ be a fuchsian group of the first kind not containing the element . We shall denote by d0 the number of linearly independent automorphic forms of weight 1 for Γ. It would be interesting to have a certain formula for d0. But, Hejhal said in his Lecture Notes 548, it is impossible to calculate d0 using only the basic algebraic properties of Γ. On the other hand, Serre has given such a formula of d0 recently in a paper delivered at the Durham symposium ([7]). His formula is closely connected with 2-dimensional Galois representations.


Water ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 1150 ◽  
Author(s):  
Mehrnoosh Ghadimi ◽  
Sasan Zangenehtabar ◽  
Shahin Homaeigohar

Nanomaterials, i.e., those materials which have at least one dimension in the 1–100 nm size range, have produced a new generation of technologies for water purification. This includes nanosized adsorbents, nanomembranes, photocatalysts, etc. On the other hand, their uncontrolled release can potentially endanger biota in various environmental domains such as soil and water systems. In this review, we point out the opportunities created by the use of nanomaterials for water remediation and also the adverse effects of such small potential pollutants on the environment. While there is still a large need to further identify the potential hazards of nanomaterials through extensive lab or even field studies, an overview on the current knowledge about the pros and cons of such systems should be helpful for their better implementation.


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