scholarly journals The enumeration of tree-like polyhexes

1970 ◽  
Vol 17 (1) ◽  
pp. 1-13 ◽  
Author(s):  
Frank Harary ◽  
Ronald C. Read

A problem of considerable interest in combinatorial analysis is that of determining the number of ways in which a connected figure can be constructed in the plane by assembling n regular hexagons in such a way that two hexagons abut on each other, if at all, along the whole of a common edge. Examples of these constructions can be seen in the various figures in this paper.

1989 ◽  
Vol 23 (3) ◽  
pp. 31-40 ◽  
Author(s):  
X. Viennot ◽  
G. Eyrolles ◽  
N. Janey ◽  
D. Arqués

Metals ◽  
2021 ◽  
Vol 11 (2) ◽  
pp. 223
Author(s):  
Dongcheng Wang ◽  
Yanghuan Xu ◽  
Bowei Duan ◽  
Yongmei Wang ◽  
Mingming Song ◽  
...  

The edge of a hot rolling strip corresponds to the area where surface defects often occur. The morphologies of several common edge defects are similar to one another, thereby leading to easy error detection. To improve the detection accuracy of edge defects, the authors of this paper first classified the common edge defects and then made a dataset of edge defect images on this basis. Subsequently, edge defect recognition models were established on the basis of LeNet-5, AlexNet, and VggNet-16 by using a convolutional neural network as the core. Through multiple groups of training and recognition experiments, the model’s accuracy and recognition time of a single defect image were analyzed and compared with recognition models with different learning rates and sample batches. The experimental results showed that the recognition model based on the AlexNet had a maximum accuracy of 93.5%, and the average recognition time of a single defect image was 0.0035 s, which could meet the industry requirement. The research results in this paper provide a new method and thought for the fine detection of edge defects in hot rolling strips and have practical significance for improving the surface quality of hot rolling strips.


PLoS Genetics ◽  
2011 ◽  
Vol 7 (10) ◽  
pp. e1002302 ◽  
Author(s):  
Samir Merabet ◽  
Isma Litim-Mecheri ◽  
Daniel Karlsson ◽  
Richa Dixit ◽  
Mehdi Saadaoui ◽  
...  

2013 ◽  
Vol 69 (11) ◽  
pp. o1632-o1632
Author(s):  
Hakima Chicha ◽  
El Mostapha Rakib ◽  
Latifa Bouissane ◽  
Mohamed Saadi ◽  
Lahcen El Ammari

In the title compound, C14H12ClN3O3S, the fused five- and six-membered rings are folded slightly along the common edge, forming a dihedral angle of 3.2 (1)°. The mean plane through the indazole system makes a dihedral angle of 30.75 (7)° with the distant benzene ring. In the crystal, N—H...O hydrogen bonds link the molecules, forming a two-dimensional network parallel to (001).


Author(s):  
Henry Garrett

New setting is introduced to study chromatic number. vital chromatic number and n-vital chromatic number are proposed in this way, some results are obtained. Classes of neutrosophic graphs are used to obtains these numbers and the representatives of the colors. Using colors to assign to the vertices of neutrosophic graphs is applied. Some questions and problems are posed concerning ways to do further studies on this topic. Using vital edge from connectedness to define the relation amid vertices which implies having different colors amid them and as consequences, choosing one vertex as a representative of each color to use them in a set of representatives and finally, using neutrosophic cardinality of this set to compute vital chromatic number. This specific relation amid edges is necessary to compute both vital chromatic number concerning the number of representative in the set of representatives and n-vital chromatic number concerning neutrosophic cardinality of set of representatives. If two vertices have no vital edge, then they can be assigned to same color even they’ve common edge. Basic familiarities with neutrosophic graph theory and graph theory are proposed for this article.


2021 ◽  
pp. 64-79
Author(s):  
Irina Pushmina ◽  
Olga Kolman ◽  
Irina Koyupchenko ◽  
Mihail Kudryavtsev

Determination of the directions of formation of the contemporary level of quality and assortment concept of the species diversity of functional bread of mass assortment with the use of wild berry plants Ericaceae for health improving nutrition. The materials were questionnaires of a survey of potential consumers of functional bread of the city of Krasnoyarsk, wild berry plants of the Heather family (Ericaceae): fruits of cranberry (Vaccinium oxycoccos), of cowberry (Vaccinium vitis-idaea), of bilberry (Vaccinium myrtillus), of blueberry (Vaccinium uliginosum) and powders from them. The method of isolation of the average sample according to GOST 24.027.0-80 was used in the work. The content of toxic elements in berries was determined according to GOST 26927-86, GOST 26930-86, GOST 30178-96 using an atomic emission spectrometer with inductively coupled plasma-iCAP 6500. Generally accepted theoretical and statistical research methods, combinatorial analysis, and data processing using standard mathematical programs were used in the work. Study of the consumer survey, literature data of the chemical composition of berries of wild plants Ericaceae, data on the possibility of procurement of raw materials on the territory of Krasnoyarsk region, investigation of safety performance of the raw material and powders out of him for compliance with the requirements of TR CU 021/2011 and 027/2012 indicate the possibility of their use in the composition of functional bread as a source of biologically active compounds with a variety of positive physiological properties. The multivariance of the development of the range of functional types of bread with additives from Ericaceae berries is confirmed by the data of combinatorial analysis. As a result, an assortment concept of the species diversity of functional bread of a mass assortment of contemporary quality with additives from wild berry plants Ericaceae for improving nutrition was formed. Researches is promising in the formation of the range and actual quality of functional types of bread of mass assortment using local wild-growing raw materials, the advantage of which is naturalness, the content of functional ingredients, and contribute to the development of the range and technologies of healthy food products.


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