On the fraction of matrices with maximal additive complexity

2014 ◽  
Vol 24 (6) ◽  
Author(s):  
Fedor M. Malyshev
Keyword(s):  
Nondegenerate Matrix ◽  
The Matrix ◽  
Minimum Number ◽  
Additive Complexity ◽  
A Chain ◽  
Almost All

AbstractThe additive complexity of a nondegenerate matrix of size n is the minimum number of additions in a chain of elementary transformations over rows required to reduce the matrix to the identity one. It is shown that if the order of the field tends to infinity, then almost all matrices are of maximum possible additive complexity (n−1)n. The matrices of additive complexity (n − 1)n are shown to be MDS-matrices.

scholarly journals Connectivity matrix model of quantum circuits and its application to distributed quantum circuit optimization

2021 ◽  
Vol 20 (7) ◽  
Author(s):  
Ismail Ghodsollahee ◽  
Zohreh Davarzani ◽  
Mariam Zomorodi ◽  
Paweł Pławiak ◽  
Monireh Houshmand ◽  
...  
Keyword(s):  
Quantum Computation ◽  
Quantum Computer ◽  
Quantum Circuit ◽  
Quantum Circuits ◽  
Connectivity Matrix ◽  
Circuit Optimization ◽  
Novel Approach ◽  
The Matrix ◽  
Minimum Number ◽  
Two Phases

AbstractAs quantum computation grows, the number of qubits involved in a given quantum computer increases. But due to the physical limitations in the number of qubits of a single quantum device, the computation should be performed in a distributed system. In this paper, a new model of quantum computation based on the matrix representation of quantum circuits is proposed. Then, using this model, we propose a novel approach for reducing the number of teleportations in a distributed quantum circuit. The proposed method consists of two phases: the pre-processing phase and the optimization phase. In the pre-processing phase, it considers the bi-partitioning of quantum circuits by Non-Dominated Sorting Genetic Algorithm (NSGA-III) to minimize the number of global gates and to distribute the quantum circuit into two balanced parts with equal number of qubits and minimum number of global gates. In the optimization phase, two heuristics named Heuristic I and Heuristic II are proposed to optimize the number of teleportations according to the partitioning obtained from the pre-processing phase. Finally, the proposed approach is evaluated on many benchmark quantum circuits. The results of these evaluations show an average of 22.16% improvement in the teleportation cost of the proposed approach compared to the existing works in the literature.

Analisis Sistem Kelistrikan pada Beban Motor Mesin Pencacah Sampah Plastik

2021 ◽  
Vol 2 (1) ◽  
Author(s):  
Yanolanda Suzantry Handayani ◽  
Junas Haidi ◽  
Agun Mardian
Keyword(s):  
Single Phase ◽  
Plastic Waste ◽  
Motor Power ◽  
Electric Motors ◽  
Motor Speed ◽  
Speed Measurement ◽  
Waste Load ◽  
A Chain ◽  
Almost All ◽  
Modern Era

In this modern era, the activities of almost all humans depend on machines they make, such as single-phase induction electric motors, which are used to chop plastic waste. This chopping machine aims to help plastic collectors process plastic waste into small pieces, making it easier to pack and ship plastic out of the area for reprocessing. The plastic waste shredding machine is made using a crushing system with a fan-shaped blade construction consisting of 39 blades divided by two rotating rows opposite the cover box using a chain motor gear transmission element. Most of the chopper machines on the market use engines with diesel or diesel fuel, therefore a chopper machine using an electric motor is designed to compare the motor power without the addition of capacitors and capacitors. The waste load used for motors without additional capacitors, medium and large bottles measuring 375 ml to 1500 ml, the machine can chop as much as 800 grams with the highest measurement of power 578.0 Watt, current 4.192 A, the lowest motor speed measurement is 1414 rpm and the reducer speed is 22.9 rpm . The waste load used for motors with additional capacitors, medium and large bottles measuring 375 ml to 1500 ml, the machine can chop 1000 grams with the highest measurement of power 732.7 Watt, current 4.149 A, the lowest motor speed measurement is 1464 rpm and the reducer speed is 22.9 rpm.

scholarly journals THE EFFECTIVENESS OF ENSURING THE FINANCIAL STABILITY OF THE RESTAURANT BUSINESS IN THE CRISIS COVID-19

2020 ◽  
Author(s):  
Liudmyla Batchenko ◽  
◽  
Liliia Honchar ◽  
Andrii Beliak ◽  
◽  
...  
Keyword(s):  
Financial Management ◽  
Financial Stability ◽  
Hospitality Industry ◽  
Business Environment ◽  
Financial Indicators ◽  
Financial Condition ◽  
The Matrix ◽  
A Chain ◽  
Key Indicators ◽  
Enterprise Policy

The study identifies and systematizes key indicators and criteria for ensuring the financial stability of the restaurant business. The complex and thorough analysis of features of maintenance of financial stability of the enterprises of restaurant business on an example of one of restaurants of a chain of the Japanese kitchen of LLC «Sushiya» is carried out. After analyzing the key indicators of financial and economic activity of the restaurant, using the method of complex calculation of the rating of the financial condition of enterprises in the hospitality industry, the level of financial stability of the studied enterprise is determined. Based on the results of practice-oriented analysis, the ranking of financial management goals by the degree of impact on the financial stability of the enterprise. The mechanism of ensuring financial stability of restaurant business enterprises is modeled. The developed and substantiated mechanism is based on a unique methodology, which, unlike existing ones, is adapted to the field of hospitality, is carried out by specific tactical and strategic tools of financial management, based on the chosen type of enterprise policy; takes into account the dynamics of the main financial indicators of the enterprise, which is planned to implement the mechanism and the possible impact of factors of the external changing business environment. With the help of the matrix of financial strategies of J. Franchon and I. Romane, the position of the restaurant «Sushiya-Lavina» is determined and the methodological tools for improving the efficiency of its financial stability are substantiated.

scholarly journals Characterization by TGA, SEM, and EDX of Polymeric Matrices Used as Cocaine Camouflages

2018 ◽  
Vol 12 (12) ◽  
pp. 119
Author(s):  
Carlos A. Díaz V ◽  
William F. Garzón M ◽  
Juan C. Higuita V ◽  
Elisabeth. Restrepo-Parra
Keyword(s):  
Surface Morphology ◽  
Thermo Gravimetric Analysis ◽  
Soxhlet Extraction ◽  
Structural Type ◽  
Extraction Process ◽  
Gravimetric Analysis ◽  
Before And After ◽  
The Matrix ◽  
Morphological Differences ◽  
Almost All

In this work, a study of samples that contained cocaine camouflaged inside unidentified polymers was performed. Samples were seized at the Dorado International airport in Colombia. Cocaine was adsorbed or occluded within the matrix. The objective of this research was to extract cocaine from the matrices using soxhlet extraction method. Thereafter matrices were analyzed to determine the surface morphology before and after the extraction. Several morphological differences were exhibited between samples including both adsorbed and occluded cocaine. Moreover, changes in the surface morphology were also observed before and after cocaine extraction. The chemical elemental composition of matrices was also studied using energy dispersive spectroscopy, observing that the alkaloid was totally removed in almost all samples after the extraction process. On the other hand, Thermo gravimetric analysis also allows comparing the results obtained for the samples with patterns of pure cocaine and other polymers as CMC, PVA and HEC, finding several similarities of structural type.

scholarly journals Investigating Musicians’ Mindfulness through a Phenomenological Matrix

2019 ◽  
Author(s):  
Frank Diaz ◽  
Jason Silveira ◽  
Katherine Strand
Keyword(s):  
Music Education ◽  
Personal Growth ◽  
Cognitive Outcomes ◽  
First Year ◽  
First Year College ◽  
Introductory Course ◽  
The Matrix ◽  
College Music ◽  
Neurophysiological Mechanisms ◽  
Almost All

We investigated the efficacy of a phenomenological matrix of mindfulness as a framework for examining expectations, formal meditation experiences, and appraisals of first-year college music students (N = 18) who participated in a 5-day mindfulness module offered through an introductory course in music education. Participants expressed hopes that meditation would help them manage stress and anxiety, improve their focus and relationships, and support their personal growth and motivation. With respect to lived experiences of formal meditation, we found that without explicit prompting, approximately 86% percent of coded phrases reflected dimensions of experience that could be mapped within the matrix, suggesting its efficacy for coding. Furthermore, almost all participants attributed mindfulness to improving their general wellness, with dereification, breathing, and non-aversive affect frequently mentioned as key factors leading to these improvements. Additionally, consistent with the neurophenomenological aims of the matrix, we list cognitive outcomes and neurophysiological mechanisms potentially attributable to the nature of selected appraisal statements by participants.

The criterion of arising motion conflict of unmanned vehicles during implementing transportation plan in intelligent urban passenger transportation system

2020 ◽  
Vol 25 (3) ◽  
pp. 79-84
Author(s):  
Shviatsova A.V. ◽  
◽  
Shuts V.N. ◽  
Keyword(s):  
Transport System ◽  
Intelligent Systems ◽  
Historical Context ◽  
Unmanned Vehicles ◽  
Transport Systems ◽  
Passenger Transport ◽  
Electric Cars ◽  
The Matrix ◽  
Minimum Number ◽  
Transportation Plan

The proposed article is devoted to the description of an intelligent urban passenger transport system based on unmanned electric vehicles, sequentially moving along a separate line. This system is a passenger transport system of a new urban mobility, formed under the influence of social conditions generated by high population density in cities, that suppose the development of pedestrian zones and ecological modes of transport, "transport as a service", etc. In this historical context, public transport systems acquire special relevance. The described transport system belongs to intelligent systems, since it is capable of functioning in autonomous mode without human intervention, adaptively responding to changes in the dynamics of the flow of passengers during the day. Passengers are transported by electric cars, which can be combined into cassettes according to the principle of road trains based on the transportation plan drawn up by the intelligent center of the transport system according to the matrix of correspondences, filled in taking into account the incoming requests for service from passengers. When drawing up a transportation plan, the algorithms of the transport system give preference to transportation according to the "source-destination" principle, that is, when the passenger goes to the destination with a minimum number of intermediate stops, and ideally without them. The paper formulates also a criterion of arising of a conflict in the movement of vehicles, which allows to identify situations when an electric vehicle driving in front can detain vehicles following after. The work has relevance because the criterion will allow to make adjustments in the schedule of movement of vehicles and exclude the loss of time and energy that carries the transport system during braking and acceleration of electric cars, as well as to reduce waiting time and travel of passengers.

Observations on Hermann of Carinthia's Version of the Elements and its Relation to the Arabic Transmission

2001 ◽  
Vol 14 (1-2) ◽  
pp. 39-84 ◽  
Author(s):  
Sonja Brentjes
Keyword(s):  
Systematic Investigation ◽  
Latin Translation ◽  
Mathematical Work ◽  
Secondary Transmission ◽  
Structural Relevance ◽  
A Chain ◽  
Almost All ◽  
Made In

This paper investigates the affiliation of Book I of the Latin translation of Euclid's Elements attributed to Hermann of Carinthia with the Arabic transmission of the Greek mathematical work. It argues that it is a translation of a text of the Arabic secondary transmission, that is, of an Arabic edition mixed with comments. Two methodological claims are made in the paper. The first insists that the determination of a text whose transmission was as multifaceted and complex as the Euclidean Elements needs to be based on a systematic investigation of entire books rather than on selected theorems or diagrams of global, mostly structural relevance. The second claim starts from the experience that almost all results regarding the place of a particular document in a chain of transmission are conjectural. It acknowledges that individual results are more or less persuasive, depending upon the qualitative status of the argument. It suggests that the quantitative accumulation of similarities, differences, errors, regularities, or peculiarities allows one to recognize patterns and thus improves the reliability of judgment.

Pipe resistance coefficients identification of water networks considering solvable conditions

2020 ◽  
Author(s):  
Yongxin Liu ◽  
Qingting Du ◽  
Peng Luo ◽  
Pinghua Zou ◽  
Zhongyi He
Keyword(s):  
Linearization Method ◽  
Matrix Analysis ◽  
Analysis Process ◽  
Analysis Theory ◽  
Hydraulic Conditions ◽  
The Matrix ◽  
Successive Linearization Method ◽  
Minimum Number ◽  
Coefficients Identification ◽  
Resistance Coefficients

To make hydraulic models more accurate and realistic, this paper proposes a method to identify pipe resistance coefficients (PRCs) by using the measured heads at partial nodes. A successive linearization method is adopted to solve for the pipe flows, node heads, and PRCs. Based on the matrix analysis theory, the relationships among the number and location of measurement sites, number of hydraulic conditions (HCs), and solvable condition of PRC identification are established. The proposed method can identify all the PRCs when a solvable condition can be satisfied. In addition, the analysis process can be used as a tool to evaluate whether a given arrangement of measurement sites can meet the solvable condition of PRC identification, and to determine the minimum number of HCs. The performed case studies verified the feasibility of the proposed method, and the determined accuracy of PRC identification was noted to satisfy the actual engineering requirements.

scholarly journals Matrix Expression of Convolution and Its Generalized Continuous Form

Symmetry ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 1791
Author(s):  
Young Hee Geum ◽  
Arjun Kumar Rathie ◽  
Hwajoon Kim
Keyword(s):  
Neural Networks ◽  
Integral Transforms ◽  
Main Process ◽  
Continuous Form ◽  
Core Technology ◽  
New Variant ◽  
The Matrix ◽  
Matrix Expression ◽  
Almost All ◽  
Laplace Type

In this paper, we consider the matrix expression of convolution, and its generalized continuous form. The matrix expression of convolution is effectively applied in convolutional neural networks, and in this study, we correlate the concept of convolution in mathematics to that in convolutional neural network. Of course, convolution is a main process of deep learning, the learning method of deep neural networks, as a core technology. In addition to this, the generalized continuous form of convolution has been expressed as a new variant of Laplace-type transform that, encompasses almost all existing integral transforms. Finally, we would, in this paper, like to describe the theoretical contents as detailed as possible so that the paper may be self-contained.

scholarly journals Determination of Organochlorines in Soil of a Suburban Area of São Paulo Brazil

2020 ◽  
Vol 17 (16) ◽  
pp. 5666
Author(s):  
Justine P. R. O. Varca ◽  
Elâine A. J. Martins ◽  
Gustavo H. C. Varca ◽  
Renato L. Romano ◽  
Daniel T. Lebre ◽  
...  
Keyword(s):  
Validation Study ◽  
Heptachlor Epoxide ◽  
Soil Extraction ◽  
Optimum Result ◽  
Industrial Soil ◽  
Technological Advances ◽  
The Matrix ◽  
Contamination Levels ◽  
Almost All ◽  
Cis And Trans

Technological advances have promoted improvements in several science fields, especially related to environmental and analytical areas with the improvement of detection and development of environmentally friendly extraction techniques. This study applied Quick, Easy, Cheap, Effective, Rugged and Safe method (QuEChERS) for soil extraction and assessed its performance through a validation study using samples from the soil of a contaminated area in Caieiras, SP, Brazil. Nine organochlorine pesticides, including the isomers alpha, beta, gamma and delta- hexachlorocyclohexane; cis- and trans-heptachlor epoxide; cis- and trans-chlordane and heptachlor were analyzed by gas chromatography coupled to electron capture detector. The method was validated according to ISO 5725-4 (2020), EURACHEM (2014) and DOQ-CGCRE-008 (2016). The limits of detection and quantification of the method for the nine organochlorines were α-HCH (1.2 and 12.6 µg kg−1), β-HCH (1.7 and 12.0 µg kg−1), γ-HCH (1.5 and 11.6 µg kg−1), δ-HCH (0.8 and 11.6 µg kg−1), heptachlor (1.0 and 10.8 µg kg−1), cis-heptachlor epoxide (0.9 and 11.5 µg kg−1), trans-heptachlor epoxide (0.9 and 11.5 µg kg−1), cis-chlordane (0.4 and 7.9 µg kg−1) and trans-chlordane (0.5 and 10.9 µg kg−1), respectively, and all of them were within the maximum limits recommended by the EPA for the compounds α-HCH (86.0 and 360.0 µg kg−1), β-HCH (300.0 and 1.3 × 103 µg kg−1), γ-HCH (570.0 and 2.5 × 103 µg kg−1), δ-HCH (not defined), heptachlor (130.0 and 630.0 µg kg−1), cis-/trans-heptachlor epoxide (7.0 and 330.0 µg kg−1), cis-/trans-chlordane (1.77 × 103 and 7.7 × 103 µg kg−1) in residential and industrial soil, respectively. Recovery results were between 65% and 105% for almost all compounds, which is an optimum result for multi-residue analytical methods, considering the complexity of the matrix used in the study. Caieiras presented contamination levels of α-HCH in the range of 2.0 to 66.0 µg g−1, which was higher than the limits established by EPA, corresponding to 0.077 µg g−1 for residential soil and 0.27 µg g−1 for industrial soil. According to the validation study, the analytical method proposed was reliable for organochlorine quantification, and the QuEChERS was considered efficient for organochlorine extraction from soil.

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