Given a line arrangement A with n lines, we show that there exists a path of length n/3−O(n) in the dual graph of A formed by its faces. This bound is tight up to lower order terms. For the bicolored version, we describe an example of a line arrangement with 3k blue and 2k red lines with no alternating path longer than 14k. Further, we show that any line arrangement with n lines has a coloring ...

The realizability problem for rank 3 oriented matroids (see [1]) is equivalent to the pseudoline stretchability problem (see [4]). This paper uses an example to illustrate a new approach to this problem. The main theorem of this paper, like the trigonometric form of Ceva’s theorem, shows a non-trivial relationship amongst the angles in a specific line arrangement figure (c). We work in polar co...

Abstract The objective of this work was to verify if the introgression AtAREB1 gene in 'LS93-0375' and 'BMX Desafio RR' elite soybean germplasms increases tolerance these plants water deficit. F4 progenies two cultivars transgenic line (BR16-AtAREB1) its background ('BR16') were subjected deficit assays. bioassays performed a greenhouse using following six lines: genetically modified BR16-AtARE...

Abstract: Initial seed vigor and sowing density interact in establishment of plants the field, can thus affect expression plasticity wheat crop yield physiological quality seeds produced. The aim this study was to evaluate effect levels combination with densities on potential seeds. cultivars BRS Gralha-Azul Sabiá were used a randomized block experimental design 2 × 4 factorial arrangement, fou...

mycotoxins are secondary metabolites produced by fungi following their infestation of food crops.one of the effective approaches to control aflatoxicosis is the use of adsorbents. the aim thusfollowed in the present study was a comparison of various adsorbents viz. bentonite, zeolite, vs. anorganic commercial adsorbent (mycosorb) and a mineral – organic commercial adsorbent (biotox)regarding th...

palm date leaves were processed with lime in a processing reactor in a factorial arrangement of treatments (3 × 3) with 3 levels of temperatures (40, 80 and 100°c) and time periods (80, 160, and 240 minutes) in a completely randomized design. fermentation parameters measured using gas production technique. with increasing pretreatment time and temperature lignin content reduced from 13.0 percen...