scholarly journals On the number of branches of real curve singularities

2011 ◽  
Vol 43 (5) ◽  
pp. 1004-1020 ◽  
Author(s):  
Aleksandra Nowel ◽  
Zbigniew Szafraniec
Topology ◽  
1990 ◽  
Vol 29 (4) ◽  
pp. 501-510 ◽  
Author(s):  
James Montaldi ◽  
Duco van Straten

2007 ◽  
Vol 25 (4) ◽  
pp. 221-228
Author(s):  
Petra Sternberg ◽  
Daniel K. Struve

Abstract A major goal in the production of tree whips is to produce appropriately sized, well-branched liners with a crown form similar to that of a mature tree. Pruning is used to induce lateral branching. This can result in poor tree quality, reduced growth and the practice is labor intensive. An alternative to mechanical pruning, foliar Cyclanilide® (CYC) sprays at 0, 56, 1 12 and 223 ppm were applied to container grown whips to determine its effect on branching of Amelanchier; Cercis, Malus and Tilia whips. Most species responded to CYC sprays with increased lateral branching if treated during active shoot elongation. Cyclanilide® sprays of 1 12 ppm produced the greatest number of branches. Sprays at 56 ppm resulted in reduced branching (relative to 112 ppm), while sprays of 223 ppm did not increase the number of branches, relative to sprays of 112 ppm, but reduced growth. Cyclanilide® sprays reduced height growth, relative to untreated whips, but did not alter height diameter growth. Cyclanilide® foliar applications to container -grown whips during periods of active shoot elongation increased branching in one-year-old whips that normally do not branch until the second year of production. Further, the origin of lateral branching can be controlled by timing of CYC application. The results indicate that CYC foliar sprays can be an important tool in the production of one-year-old branched whips.


Peanuts are plants of the tropical zone, therefore, for its growth and development, high temperature indicators are needed during a fairly long growing season. The climatic parameters of the south of Ukraine correspond to the needs of this culture, and today there is positive experience in growing peanuts in this region. In order to increase the efficiency of growing peanuts in the conditions of the Steppe zone, it is necessary to carry out genetic selection work to study and select a more adapted source material in order to create highly productive Ukrainian varieties adapted to the arid zone conditions. At the initial stage of this work, it is necessary to have clear signs and characteristics for evaluating the studied genotypes, and the existing methods for describing the characters and conducting an examination for distinctness, uniformity, and stability are incomplete and do not meet the requirements for in-depth work on private genetics and culture breeding. For our work, we used 18 peanut genotypes as a material, which make up the collection of the Institute of Oilseeds of NAASU. Studies were carried out in 2018 and 2019, in different weather conditions. All measurements, observations and statistical processing in the study of samples were carried out in accordance with generally accepted methods. When conducting a comparative analysis of the two methods for describing the signs of underground peanuts, it was found that one of the methods contains 23 signs and the other 17. The signs of the vegetative part of plants that characterize the habit and structure of the leaf predominate in both methods. We have identified and proposed for description 9 new characters in peanut plants: 2 - leaf characters (additional leaves and pubescence); 1 - the structure of beans (weight 100 beans); 1 - an economically valuable trait (the presence of nodules on the roots); 5 - flower features (size and color of the flower and border). In terms of plant habitat, Ukrainian Stepnyak and Krasnodar 13 varieties were distinguished, which had the highest height (43.8 cm) and the largest number of branches (9.3 pcs.). In addition to morphological identification features for the description and examination of distinctness, uniformity and stability, we have also studied the quantitative characteristics of underground peanuts. It was established that the height of peanut plants in the field conditions of the south of Ukraine ranged from 14 to 44 cm. The highest variety was the Ukrainian Stepnyak variety, and the shortest one was Pink large. The largest number of branches is 9.3 pcs. noted in the variety Krasnodar 13, and the smallest 4.62 pcs. - at L3. And the largest flower of 1.91 cm stood out White-pink 3. The quantitative traits we studied are characterized by continuous variability, which is due to the interaction between genes and the environment. Thus, to identify varietal variability in underground peanuts, it is necessary to use both existing methods, and in the near future, work should be done to combine them with the inclusion of new identified characters to more clearly identify the genotypes of this new valuable oilseed crop.


2020 ◽  
Vol 1 (10) ◽  
pp. 13-25
Author(s):  
A. P. SOKOLOV ◽  
◽  
L. P. VASILIEVA ◽  
I. V. BRATKO ◽  
◽  
...  

The authors consider the issues of forming a procurement strategy for enterprises of the fuel and energy complex (FEC) as a management tool. The study begins with a review of the categories of strategy, purchasing, and risk. Based on the generalization and interpretation of the obtained knowledge, the author's model of procurement strategy for enterprises of the fuel and energy complex is proposed, which differs from the existing ones in that it simultaneously acts as a means of connecting the enterprise with the external market environment. The strategy has a complex multi-stage character with many elements. Through detailed strategic planning can be achieved high efficiency of the procurement activities of enterprises of fuel and energy. The proposed algorithm can form the basis of an unlimited number of branches of the national economy.


2016 ◽  
Vol 3 (1) ◽  
Author(s):  
YPJ AMARASINGHE ◽  
G . WIJESINGHE ◽  
R W PUSHPAKUMARA

19 Groundnut ( Arachis hypogaea L. ) genotypes receiv ed from International Crops Research Institute for Semi Arid T ropics (ICRISA T) India w ere ev aluated in a non replicated trial and the characters w ere subjected to multiv ariate analysis to study the v ariability within the genotypes. The first 5 axes of the principal component analysis captured 78% of the total v ariability and identified yield parameters such as number of pods per plant, pod w eight per plant and growth parameters such as number of branches per plant, plant spread, and pod characteristics as the characters contributing most to total v ariation. Phenotypic correlation analysis rev ealed that the yield has positiv e correlation with the characters such as number of pods per plant and number of branches per plant. W ards clustering method has grouped the genotypes into 3 distinct clusters. The results can be applied in order to strengthen the breeding program


2016 ◽  
Vol 3 (4) ◽  
Author(s):  
R. C. BHARATI

Data on fruit count corresponding to primary, secondary and tertiary branches of a randomly selected guava CV. Allahabad Safeda were recorded from the guava orchard of Horticultural Research Station, Birauli. The proposed sampling scheme in which the selection probabilities are based on length of braches between two forking points was compared with equal probability(PE), probability proportional to the number of branches(PPN), probability proportional to the cross sectional area (PPA) and probability proportional to volume (PPV) method of sampling and found to be more efficient.


2020 ◽  
Vol 11 (1) ◽  
pp. 177
Author(s):  
Pasi Fränti ◽  
Teemu Nenonen ◽  
Mingchuan Yuan

Travelling salesman problem (TSP) has been widely studied for the classical closed loop variant but less attention has been paid to the open loop variant. Open loop solution has property of being also a spanning tree, although not necessarily the minimum spanning tree (MST). In this paper, we present a simple branch elimination algorithm that removes the branches from MST by cutting one link and then reconnecting the resulting subtrees via selected leaf nodes. The number of iterations equals to the number of branches (b) in the MST. Typically, b << n where n is the number of nodes. With O-Mopsi and Dots datasets, the algorithm reaches gap of 1.69% and 0.61 %, respectively. The algorithm is suitable especially for educational purposes by showing the connection between MST and TSP, but it can also serve as a quick approximation for more complex metaheuristics whose efficiency relies on quality of the initial solution.


2019 ◽  
Vol 17 (1) ◽  
pp. 33-38
Author(s):  
Swapan Kumar Paul ◽  
Mosa Morsheda Khatun ◽  
Md Abdur Rahman Sarkar

Sulphur is a component of plant amino acids, proteins, vitamins, and enzyme structures which influence the productivity of oil seed and total oil content. The experiment was conducted to find out the effect of sulphur on the seed yield and oil content of sesame in Bangladesh. The experiment comprised three varieties of sesame viz. Binatil-2, Binatil-3 and BARI Til-4 and six levels of sulphur (S) viz. 0, 10, 20, 30, 40 and 50 kg S ha–1. The experiment was laid out in a randomized complete block design with three replications. Dry matter production, crop characters, yield components, seed yield and oil content were significantly influenced by variety, level of sulphur and their interaction. The highest dry matter production plant–1 at 50 DAS (17.56 g), plant height (101.3 cm), number of branches plant–1 (3.66),  number of pods plant-1 (41.56), number of seeds pod-1 (58.83),  seed yield    (747.2 kg ha-1), stover yield (2243.0 kg ha–1) and oil content (40.03%) were obtained in BARI Til-4 while the corresponding lowest values of all parameters were recorded in Binatil-2. In case of sulphur application, the highest dry matter production plant–1 at 50 DAS (20.81 g), plant height (109.7 cm), number of branches plant–1 (3.87),  number of pods plant–1 (46.13),  number of seeds pod-1 (56.67),  seed yield (800.0 kg ha–1), stover yield (2787 kg ha–1 ) and oil content (43.97%) were obtained when crop was fertilized with 30 kg S ha–1 while the lowest seed yield (502.2 kg ha–1), stover yield (1550.0 kg ha–1) and oil content (32.80%) were obtained in control (0 kg S ha–1). BARI Til-4 fertilized with 30 kg S ha–1 produced the highest dry matter plant–1 at 50 DAS (24.80 g), number of pods plant–1 (51.13), seeds pod–1 (62.0) and seed yield (1011.0 kg ha–1). The highest oil content (43.97%) was also recorded in BARI Til-4 fertilized with 30 kg S ha–1, which was as good as that of BARI Til-4 fertilized with 40 kg S ha–1. Therefore, BARI Til-4 fertilized with 30 kg S ha–1 can be considered as a promising practice in respect of seed yield and oil content of sesame in Bangladesh. J. Bangladesh Agril. Univ. 17(1): 33–38, March 2019


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