The article discusses the task of regulating flow in channel with a lateral outflow. A form retraction is recommended to ensure smooth flow. Solving issues water distribution along route and determining shape these channels, providing non-cavitation non-water current, comes down problem ideal incompressible liquid channels side drain.

with considering of acceleration of changes, competitive environment and uncertainty in today world make knowledge as the most strategic resource for maintain and reinforcement of competitive advantage and effective management of knowledge is the most serious challenge of organizations. knowledge management is important to achieve competitive advantage. knowledge management transforms latent pr...

let  $r$ be a commutative noetherian ring and $i$ be an ideal of $r$. we say that $i$ satisfies the persistence property if  $mathrm{ass}_r(r/i^k)subseteq mathrm{ass}_r(r/i^{k+1})$ for all positive integers $kgeq 1$, which $mathrm{ass}_r(r/i)$ denotes the set of associated prime ideals of $i$. in this paper, we introduce a class of square-free monomial ideals in the polynomial ring  $r=k[x_1,ld...

OBJECTIVE Orthodontic mini-implants (OMI) generate various horizontal and vertical force vectors and moments according to their insertion positions. This study aimed to help select ideal biomechanics during maxillary incisor retraction by varying the length in the anterior retraction hook (ARH) and OMI position. METHODS Two extraction models were constructed to analyze the three-dimentional f...