Motivation: Many analyses of metabolomic data depend on the choice of distance measure, but it is unclear how to make an appropriate choice. The choice is especially unclear when the variance in metabolite abundance is not constant. Methods: We describe a class of weighted distance measures that account for non-constant variance in metabolite abundance by using a model of the relationship betwe...

The τ -temperature is a measure of disorder of bipartite networks that is based on the total Manhattan distance of the adjacency matrix. Two proper­ ties of this measure are that it does not depend on permutations of lines or columns that have the same connectivity and it is completely determined by connectivities of lines and columns. The normalisation of τ is done by an uni­ form random matri...

We present the first study of robustness of systems that are both timed as well as reactive (I/O). We study the behavior of such timed I/O systems in the presence of uncertain inputs and formalize their robustness using the analytic notion of Lipschitz continuity: a timed I/O system is K-(Lipschitz) robust if the perturbation in its output is at most K times the perturbation in its input. We qu...

In this paper a range of methods for measuring the phonetic distance between dialectal variants are described. It concerns variants of the frequency method, the frequency per word method and Levenshtein distance, both simple (based on atomic characters) and complex (based on feature bundles). The measurements between feature bundles used Manhattan distance, Euclidean distance or (a measure usin...

We solve two related extremal-geometric questions in the n?dimensional space R?n equipped with maximum metric. First, we prove that size of a right-equidistant sequence points equals 2n+1?1. A is if each at same distance from all succeeding points. Second, number pairwise odd distances 2n. also obtain partial results for both n-dimensional R1n Manhattan distance.

Determination of the optimum route is often encountered in daily life. The purpose of the optimum route itself is to find the best trajectory of the two pairs of vertices contained in a map or graph. The search algorithm applied is A*. This algorithm has the evaluation function to assist the search. The function is called heuristic. Two methods which have been introduced as a step to obtain the...

Feature selection study is gaining importance due to its contribution to save classification cost in terms of time and computation load. In search of essential features, one of the methods to search the features is via the decision tree. Decision tree act as an intermediate feature space inducer in order to choose essential features. In decision tree-based feature selection, some studies used d...

In recent years, Vehicular Ad Hoc Network (VANET) has developed significantly. Coordination between vehicles can enhance driving safety and improve traffic efficiency. Due to the high dynamic characteristic of VANET, security become one challenging problems. Trust message is a key element in VANET. This paper proposes Manhattan Distance Based Management model (MDBTM) VANET environment which sol...

Coronavirus (Corona Virus Desease) atau yang biasa disebut Covid-19 ini adalah sebuah penyakit sangat berbahaya. Banyaknya jumlah kasus tercatat di Kabupaten Malang membuat pemerintah dituntut untuk membagi Zonasi wilayah pada setiap Kecamatan agar dapat kebijakan peraturan ditaati oleh zona-zona tertentu. K-Means algoritma mengelompokkan data berdasarkan titik pusat klaster (Centeroid) paling ...