Extending QGIS processing toolbox for assessing the geometrical properties of OpenStreetMap data

Sukhjit Singh Sehra,Jaiteg Singh,Sumeet Kaur Sehra,Hardeep Singh Rai 대한공간정보학회 2023 Spatial Information Research Vol.31 No.2

OpenStreetMap (OSM) offers an under-explored crowdsourced geospatial data useful to urban street network researchers for assessing the geometrical properties of spatial data. Urban street network analysis can provide the assessment of spatial dataset through these properties. The lack of a suitable evaluation framework renders problem for its potential users to evaluate the geometrical properties of the data. To overcome this difficulty, the capability of processing toolbox of QGIS has been extended by developing processing scripts using Python. These scripts were further used as components in the graphical modeler. The parameters such as degree centrality, average path length, closeness centrality, betweenness centrality, clustering coefficient, and inter-network indicators are developed to provide insights to the overall nature of the spatial data. For performing the empirical analysis, OSM dataset of five biggest cities of state of Punjab (India) have been analyzed and compared temporally. The results presented the internal geometrical feature’s evaluation of street network in temporal comparison of OSM dataset and its credibility. This study provided the basis for reproducible research by developing components for open source software QGIS. The developed model can be used to asses the geometrical properties assessment by the town planners to identify the prominent nodes, edges and their relationships in the datasets.

Evaluating the performance of map matching algorithms for navigation systems: an empirical study

Jaiteg Singh,Saravjeet Singh,Sukhjit Singh,Hardeep Singh 대한공간정보학회 2019 Spatial Information Research Vol.27 No.1

Navigation systems are extensively used for location identification and route finding. The efficiency of navigation systems is highly affected by map matching algorithms. This paper provides a review of major map matching algorithms. The performance of reviewed algorithms was further evaluated with the help of an empirical study. A dataset of forty seven kilometers was collected to deploy various map matching algorithms so as to measure their performance. A comparison of geometric, topological and Kalman filter based map matching algorithms was performed on the same dataset. It was concluded that performance of Kalman filter algorithm provide better results in comparison to geometrical and topological algorithms.

HIGHER ORDER INTERVAL ITERATIVE METHODS FOR NONLINEAR EQUATIONS

Singh, Sukhjit,Gupta, D.K. The Korean Society for Computational and Applied M 2015 Journal of applied mathematics & informatics Vol.33 No.1

In this paper, a fifth order extension of Potra's third order iterative method is proposed for solving nonlinear equations. A convergence theorem along with the error bounds is established. The method takes three functions and one derivative evaluations giving its efficiency index equals to 1.495. Some numerical examples are also solved and the results obtained are compared with some other existing fifth order methods. Next, the interval extension of both third and fifth order Potra's method are developed by using the concepts of interval analysis. Convergence analysis of these methods are discussed to establish their third and fifth orders respectively. A number of numerical examples are worked out using INTLAB in order to demonstrate the efficacy of the methods. The results of the proposed methods are compared with the results of the interval Newton method.

First Order Differential Subordinations and Starlikeness of Analytic Maps in the Unit Disc

Singh, Sukhjit,Gupta, Sushma Department of Mathematics 2005 Kyungpook mathematical journal Vol.45 No.3

Let α be a complex number with 𝕽α > 0. Let the functions f and g be analytic in the unit disc E = {z : |z| < 1} and normalized by the conditions f(0) = g(0) = 0, f'(0) = g'(0) = 1. In the present article, we study the differential subordinations of the forms $${\alpha}{\frac{z^2f^{{\prime}{\prime}}(z)}{f(z)}}+{\frac{zf^{\prime}(z)}{f(z)}}{\prec}{\alpha}{\frac{z^2g^{{\prime}{\prime}}(z)}{g(z)}}+{\frac{zg^{\prime}(z)}{g(z)}},\;z{\in}E,$$ and $${\frac{z^2f^{{\prime}{\prime}}(z)}{f(z)}}{\prec}{\frac{z^2g^{{\prime}{\prime}}(z)}{g(z)}},\;z{\in}E.$$ As consequences, we obtain a number of sufficient conditions for star likeness of analytic maps in the unit disc. Here, the symbol ' ${\prec}$ ' stands for subordination

Higher order interval iterative methods for nonlinear equations

Sukhjit Singh,D.K. Gupta 한국전산응용수학회 2015 Journal of applied mathematics & informatics Vol.33 No.1

In this paper, a fifth order extension of Potra's third orderiterative method is proposed for solving nonlinear equations. Aconvergence theorem along with the error bounds is established. Themethod takes three functions and one derivative evaluations givingits efficiency index equals to 1.495. Some numerical examples arealso solved and the results obtained are compared with some otherexisting fifth order methods. Next, the interval extension of boththird and fifth order Potra's method are developed by using theconcepts of interval analysis. Convergence analysis of these methodsare discussed to establish their third and fifth orders respectively. A number of numerical examples are worked out usingINTLAB in order to demonstrate the efficacy of the methods. Theresults of the proposed methods are compared with the results of theinterval Newton method.

Composite coatings of beeswax + naphthalene acetic acid preserved fruit quality and antioxidants in stored lemon fruits

Jaismeen Kaur,Sukhjit Kaur Jawandha,Parmpal Singh Gill,Zahwa Jan,Satvir Kaur Grewal 한국식품과학회 2024 Food Science and Biotechnology Vol.33 No.3

Lemon fruits are well recognized for their richness in antioxidants. The present study was conducted to maintain the antioxidant properties of lemon fruits under long term cold storage. Fruits were given different treatments of naphthalene acetic acid (NAA) @ 50, 100 and 150 ppm plus beeswax (BW) @ 2% and were stored at 6–8 °C and 90–95% RH for 60 days. At the end of storage, fruits coated with NAA (50 ppm) + BW (2%) retained 42.14 and 34.61% antioxidants, 62.72 and 56.54% phenolic content and 17.72 and 13.80% hydroxyl radical scavenging capacity in peel and pulp, respectively as compared to the control. This treatment also resulted in lesser weight loss (5.27%), higher ascorbic acid content (46.31 mg 100 ml−1 juice) and titratable acidity (5.23%). Hence, NAA + BW coatings were promising for the maintenance of the postharvest antioxidant quality of stored lemons.

ON HARMONIC CONVOLUTIONS INVOLVING A VERTICAL STRIP MAPPING

Kumar, Raj,Gupta, Sushma,Singh, Sukhjit,Dorff, Michael Korean Mathematical Society 2015 대한수학회보 Vol.52 No.1

Let $f_{\beta}=h_{\beta}+\bar{g}_{\beta}$ and $F_a=H_a+\bar{G}_a$ be harmonic mappings obtained by shearing of analytic mappings $h_{\beta}+g_{\beta}=1/(2isin{\beta})log\((1+ze^{i{\beta}})/(1+ze^{-i{\beta}})\)$, 0 < ${\beta}$ < ${\pi}$ and $H_a+G_a=z/(1-z)$, respectively. Kumar et al. [7] conjectured that if ${\omega}(z)=e^{i{\theta}}z^n({\theta}{\in}\mathbb{R},n{\in}\mathbb{N})$ and ${\omega}_a(z)=(a-z)/(1-az)$, $a{\in}(-1,1)$ are dilatations of $f_{\beta}$ and $F_a$, respectively, then $F_a\tilde{\ast}f_{\beta}{\in}S^0_H$ and is convex in the direction of the real axis, provided $a{\in}[(n-2)/(n+2),1)$. They claimed to have verified the result for n = 1, 2, 3 and 4 only. In the present paper, we settle the above conjecture, in the affirmative, for ${\beta}={\pi}/2$ and for all $n{\in}\mathbb{N}$.

Bohr’s Phenomenon for Some Univalent Harmonic Functions

Chinu Singla,Sushma Gupta,Sukhjit Singh 경북대학교 자연과학대학 수학과 2022 Kyungpook mathematical journal Vol.62 No.2

The largest value of such r0 is called the Bohr radius. In this article, we find Bohr radius for some univalent harmonic mappings having different dilatations. We also compute the Bohr radius for functions that are convex in one direction.

On harmonic convolutions involving a vertical strip mapping

Raj Kumar,Sushma Gupta,Sukhjit Singh,Michael Dorff 대한수학회 2015 대한수학회보 Vol.52 No.1

Let $ f_\beta=h_\beta+\overline{g}{_\beta}$ and $F_a=H_a+\overline{G}_a$ be harmonic mappings obtained by shearing of analytic mappings $$h_\beta+g_\beta={1}/{(2i{\sin}\beta)}\log\left({(1+ze^{i\beta})}/{(1+ze^{-i\beta})}\right),~0<\beta<\pi$$ and $H_a+G_a={z}/{(1-z)}$, respectively. Kumar \emph{et al.} \cite{ku and gu} conjectured that if $\omega(z)=e^{i\theta}z^n (\theta\in\mathbb{R},\,\, n\in \mathbb{N})$ and $ \omega_a(z)={(a-z)}/{(1-az)},\,a\in(-1,1)$ are dilatations of $f_\beta$ and $F_a$, respectively, then $F_a\widetilde\ast f_\beta \, \in S_H^0$ and is convex in the direction of the real axis, provided $a\in \left[{(n-2)}/{(n+2)},1\right)$. They claimed to have verified the result for $n=1,2,3$ and $4$ only. In the present paper, we settle the above conjecture, in the affirmative, for $\beta=\pi/2$ and for all $n\in \mathbb{N}$.

Polylogarithms and Subordination of Some Cubic Polynomials

Manju Yadav,Sushma Gupta,Sukhjit Singh 경북대학교 자연과학대학 수학과 2024 Kyungpook mathematical journal Vol.64 No.1

Let V3(z, f) and σ^(1)3(z, f) be the cubic polynomials representing, respectively, the 3rd de la Vall´ee Poussin mean and the 3rd Ces`aro mean of order 1 of a power series f(z). If K denotes the usual class of convex univalent functions in the open unit disk centered at the origin, we show that, in general, V3(z, f) /< σ^(1)3(z, f), for all f ∈ K. Making use of polylogarithms, we identify a transformation, Λ : K → K , such that V3(z, Λ(f))< σ^(1)3(z, Λ(f)) for all f ∈ K . Here ‘<’ stands for subordination between two analytic functions.