In video games and robotics, one often discretizes a continuous 2D environment into regular grid with blocked unblocked cells then finds shortest paths for the agents on resulting graph. Shortest paths, of course, are not necessarily true in environment. this article, we therefore study how much longer path can be than corresponding all grids that tessellate environments. We 5 different vertex ...

A chord of a path $P$ is an edge joining two non-adjacent vertices of $P$. A path  $P$ is called a monophonic path if it is a chordless path. A longest $x-y$ monophonic path is called an $x-y$ detour monophonic path. A  detour monophonic graphoidal cover of a graph $G$ is a collection $psi_{dm}$ of detour monophonic paths in $G$ such that every vertex of $G$ is an internal vertex  of at most on...

objective: yield components and genetic contribution have the most important in final yield and breeding programs of crop plants. for this purpose, 20 varieties of grapevines with russia origin were evaluated in urmia and takestan research station (under full irrigation and drought stress). methods: twenty grapevine genotypes were evaluated in urmia and takestan research station (under full irr...

a palatal defect may result from surgical resection, and its consequences could include difficulty in speech and nasal regurgitation of food and liquids. an obturator combined to speech aid prosthesis can improve nasal emission during speech,  and  assist  in  preventing  nasal  regurgitation  of  food.  this  article presents a clinical report of the reconstruction of palatopharyngeal function...

chickpea (cicer arietinum l.) is one of the most important crops worldwide that is a subject of many plant breeding programs in many countries. in addition, climates are changing all over the world and drought becomes one of the most serious problems versus yield of crops. in order to screen drought tolerant genotype in chickpea, twenty genotypes were tested under rainfed and irrigated conditio...

in this paper we present a new method for tool-path generation and adaptive interpolation for a three-axis cnc milling machine. this method satisfied the force and / or the error conditions by using a variable-direction variable-feedrate strategy based on maximum feedrate map. the proposed adaptive interpolator modifies the cutting path and the moving direction according to the actual instantan...

in the following, i describe the sufi path (tariqa) as a dialectical process which transforms the person through love. i examine the belief system of islamic mystics as a journey involving both creativity and passion. i do so by using a fresh approach, a perspective that has heretofore yet to be applied to the spiritual alchemy of the sufis.