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On the Hasse diagram of binary linear codes

Discrete Mathematics, Algorithms and Applications
A binary [Formula: see text]-linear code [Formula: see text] is a [Formula: see text]-dimensional subspace of [Formula: see text]. For [Formula: see text], the set [Formula: see text] is a coset of [Formula: see text]. In this work, we study a partial ordering on the set of cosets of a binary linear code [Formula: see text] of length [Formula: see ...
Lisbeth Danyeli Delgado Ordoñez   +2 more
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Basic Principles of Hasse Diagram Technique in Chemistry

Combinatorial Chemistry & High Throughput Screening, 2008
Principles of partial order applied to ranking are explained. The Hasse diagram technique (HDT) is the application of partial order theory based on a data matrix. In this paper, HDT is introduced in a stepwise procedure, and some elementary theorems are exemplified. The focus is to show how the multivariate character of a data matrix is realized by HDT
Rainer, Brüggemann, Kristina, Voigt
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The Relationship between Aristotelian and Hasse Diagrams

2014
The aim of this paper is to study the relationship between two important families of diagrams that are used in logic, viz. Aristotelian diagrams (such as the well-known ‘square of oppositions’) and Hasse diagrams. We discuss some obvious similarities and dissimilarities between both types of diagrams, and argue that they are in line with general ...
Lorenz Demey, Hans Smessaert
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Hasse diagram technique as a tool for water quality assessment

Analytica Chimica Acta, 2013
The management of the quality large water catchments is a complex problem which requires intelligent data analysis on various levels - analytical, spatial, and temporal. Recently, a successful approach is developed combining advanced multivariate data treatment approaches like self-organizing maps of Kohonen (SOM) and Hasse diagram technique (HDT).
Tsvetomil Voyslavov   +2 more
exaly   +3 more sources

Partial Order and Hasse Diagrams

2011
Suppose there are five objects. Think of them as sediment samples a, b, c, d, e which we would like to rank. The first and main question is: What is the aim of ranking? We can rank the five sediment samples according to their age, or according to their content of a mineral, etc.
Rainer Brüggemann, Ganapati P. Patil
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Hasse Diagram and Dynamic Feedback of Linear Systems

1993
The output feedback pole placement problem of linear systems with static or dynamic compensators belongs to the classical problems in control theory and many theoretical and numerical research papers were already devoted to this problem. Although the considered systems are linear, the problem requires the solution of an over determined system of ...
Wang, X, Rosenthal, J
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A Semiotic-Conceptual Analysis of Euler and Hasse Diagrams

2020
Semiotic-Conceptual Analysis (SCA) considers diagrams (and in general any signs) as consisting of representamens, denotations and interpretations which supports investigating these three components individually and jointly. A core notion for diagram research is “observability” which refers to logically valid statements that can be visually extracted ...
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Using Hasse Diagrams to Synthesize Ternary Quantum Circuits

2012 IEEE 42nd International Symposium on Multiple-Valued Logic, 2012
We present the results of application of Hasse diagrams to the problem of synthesizing ternary quantum circuits represented as input-output mapping vectors. The paper specifically focuses on ternary quantum circuits with relatively large number of variables where valid solutions exist in an exponentially expanding search space.
Maher Hawash, Marek A. Perkowski
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The Use of Hasse Diagrams as a Potential Approach for Inverse QSAR

SAR and QSAR in Environmental Research, 2001
Quantitative structure-activity relationships are often based on standard multidimensional statistical analyses and sophisticated local and global molecular descriptors. Here, the aim is to develop a tool helpful to define a molecule or a class of molecules which fulfills pre-described properties, i.e., an Inverse QSAR approach. If highly sophisticated
Brüggemann, R.   +5 more
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Hasse Diagrams and Software Development

2006
This chapter describes the evolution of the use of Hasse diagrams in the environmental field and the development of the related software. Two Italian scientists, Marcello Reggiani and Roberto Marchetti, used Hasse diagrams to study the problem of model order estimation.
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