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The Journal of Applied Research and Technology JART is a bimonthly open access journal that publishes papers on innovative applications, development of new technologies and efficient solutions in engineering, computing and scientific research. JART publishes manuscripts describing original research, with significant results based on experimental, theoretical and numerical work. The journal does not charge for submission, processing, publication of manuscripts or for color reproduction of photographs.
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Instrumentation engineering and science Measurement devices pressure, temperature, flow, voltage, frequency etc. SRJ is a prestige metric based on the idea that not all citations are the same. SJR uses a similar algorithm as the Google page rank; it provides class 11 question answer education quantitative and qualitative measure of the journal's impact.
SNIP measures contextual citation impact by wighting citations based on the total number of citations in a subject field. This paper presents a curve-fitting technique for multivalued two-dimensional piecewise-linear paths. The proposed method is based on a decomposed formulation of the canonical piecewise linear model description of Chua and Kang. The path is treated as a parametric system of two position equations x ky kwhere k is an artificial parameter to map each variable x and y into an independent k-domain.
Este artículo presenta una técnica de ajuste de curva para trayectorias lineales a tramos bidimensionales multivaluadas. El método propuesto se basa en una formulación descompuesta del modelo canónico para descripción lineal a tramos de Chua y Kang. Why do i only have fat in my love handles two-dimensional path is a curve with a specific orientation and direction defined in the x,y -Cartesian plane.
A piecewise linear PWL path is a sequence of connected line segments which define a curve [1]. Such a curve usually follows both forward and backward trajectory directions which describe regions with multivalued correspondence between the do they make soft dry dog food and y axes in the Cartesian plane. In order to gain insights into the univalued and multivalued which of the following is a linear function y=x^3+1 concepts, the following definitions are introduced:.
A curve described by two variables x and y is defined as univalued if a value of one variable corresponds with one and only one value of the other which of the following is a linear function y=x^3+1. This condition enables the curve to be expressed as a function, either y x or x y. A curve described by two variables x and y is multivalued if at least one value of either variable has correspondence with more than one value of the other variable.
This condition excludes the possibility of expressing the curve in explicit function form. If we are interested in determining a particular position associated with the PWL path, a mathematical model is needed. However, although many publications deal with the problem of finding a model description for univalued PWL curves [ 2—5 ] it is difficult to find a closed representation for multivalued curves because the imperative requirement of a function is not fulfilled, that is a correspondence that associates its variables x and y in terms of a one to one mathematical relation.
Nevertheless, several methods have been proposed with which to fit and model multivalued PWL curves, for example: an algorithmic strategy based on the generalized linear complementary problem reported in Bart De Moor et al. The present paper proposes a piecewise linear curve-fitting technique applied to two-dimensional paths. Two-dimensional PWL path and its graphic coordinates. To overcome the problem of finding a mathematical representation for the path described in Figure 1one axis k life quotes in short 0 k L is incorporated to form a three-dimensional kxy-system.
In this system, the path of interest is referred in the xy-plane. This procedure is depicted in Figure 2. Geometrical decomposition of the path described in the xy-plane. It is important to note that due to the k parameter always goes from 0 to L, its inclusion always yields univalued piecewise linear paths in the kx plane as well as in the ky planethus ensuring explicit piecewise linear function descriptions for x k and y k.
In order to illustrate the application of the proposed fitting technique, consider the octagon described by the path depicted in Figure which of the following is a linear function y=x^3+1. Importantly, this path is a closed curve which implies a multivalued correspondence between the position variables x and y. First, the breakpoint coordinates x,y are collected in Table 3. Note that a third row for the k parameter has been included. Table 1. Octagonal Path Breakpoint Coordinates. Then, the two PWL paths in the ky-plane and the kx-plane are sketched as shown in Figure 4 and Figure 5.
After that, the PWL parameters are computed which of the following is a linear function y=x^3+1 Equations 23and 4 as follows:for function x k we obtain:. After substituting the computed parameters into the canonical PWL formulation of Chua-Kang from Equation 1the following equation is obtained:. Using the procedure described above, the PWL parameters of the function y k are determined as follows: and the function y k is expressed as.
Finally, Equations 6 and 7 can be rearranged in the form of Equation 5 as follows:. In this paper a curve-fitting technique for multivalued two-dimensional piecewise-linear paths was presented. Each constitutive equation, x k and y kwas written in the form of the Chua and Kang canonical PWL model, which provides a systematic methodology for computing the model parameters. In order to demonstrate the effectiveness of the proposed curve-fitting technique, an example of a closed PWL path was presented.
Following the use of the technique, a parametric and decomposed formulation capable of reproducing the graph of the previously established path was achieved. Our ongoing work focuses on exploring potential applications of the proposed curve-fitting technique such as robot path planning and nonlinear device characterization.
Inicio Journal of Applied Research and Technology. Previous article Next article. Issue 5. Pages October Export reference. More article options. DOI: Download PDF. Jimenez-Fernandez 1E. Muñoz-Aguirre 2H. Vazquez-Leal 1J. Chavez-Aragon 3L. Hernandez-Martinez what is persuasive theoryL.
Sarmiento-Reyes 4M. Angelica-Cerdan 5. Tonantzintla, Puebla, México. This item has received. Under a Creative Commons license. Article information. Show more Show less. Octagonal Path Breakpoint Coordinates. The path is treated as a parametric system of two position equations x ky kwhere k is an artificial parameter to map each variable x and y into an independent k-domain.
Full Text. In order to gain insights into the univalued and multivalued correspondence concepts, the following definitions are introduced: Definition 1. Univalued curve A curve described by two variables x and y is defined as univalued if a value of one variable corresponds with one and only one value of the other variable. Definition 2. Multivalued curve A curve described by two variables x and y is multivalued if at least one value of either variable has correspondence how do i connect to my mobile network more than one value of the other variable.
Figure 1. Figure 2. Figure 3. Octagonal piecewise linear path. Figure 4. Path in the ky-plane. Figure 5. Path in the kx-plane. A taut string algorithm for straightening a piecewise linear path in two dimensions. Chua, A. Julian, et al. Canonical piecewise-linear approximation of smooth functions. Kahlert, L. A generalized canonical piecewise-linear representation. Kang, L. A global representation of multidimensional piecewise-linear functions with linear partitions. De Moor, J. The generalized linear complementary problem applied to the complete analysis of resistive piecewise-linear circuits.
Brzobohaty, et al. O Chua, M. Which of the following is a linear function y=x^3+1 piecewise-linear functions: Canonical representation, properties, and applications. Proceedings of the IEEE, 65pp. Tadeusiewicz, S.
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la respuesta Competente, cognoscitivamente...
Esto — es sano!
Directamente en el objetivo
Esto solamente la condicionalidad, no mГЎs
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No sois derecho. Escriban en PM, hablaremos.