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The results prove that the proposed theorems and method can effectively direct the design and manufacture of the polygonal noncircular connection.
      
The problem of plane steady ideal heavy fluid flow bounded by an impermeable polygonal section, a curvilinear arc section, and a finite section of free surface is investigated in an exact nonlinear formulation.
      
Some problems about jet flows of a gravity fluid with polygonal solid boundaries have been investigated by an analogous method in [4, 5].
      
The deviation of polygonal functions in the Lp metric
      
The precise value is given of the upper bound of the deviation in the Lp metric (1 >amp;lt; p >amp;lt; ∞) of a function f(x) in the class Hω, given by a convex modulus of continuityω(t), from its polygonal approximation at the points xk=k/n (k=0, 1 ...,n).
      
The norm in C of orthogonal projections onto subspaces of polygonal functions
      
Let Pπ be an orthogonal projection (in the sense of L2) onto the subspace of polygonal functions over a certain partition π of the segment [0, 1].
      
Polygonal Dirichlet Kernels and growth of Lebesgue constants
      
Conditions for polygonal lines and polyhedra in E3 to be closed
      
Geometrically, this notion can naturally be generalized as the least upper bound of the sums , where are the lengths of segments of a polygonal line inscribed in the curve and is a given function.
      
Immature spermatozoa from the proximal part of the testis are polygonal cells with a central nucleus.
      
Immature spermatozoa from the proximal part of the testis are polygonal cells with a central nucleus.
      
The global mapping of regions with increased ice content in the ground-surface layer revealed a direct correlation with regions of polygonal terrains morphologically similar to terrestrial polygonal forms of permafrost origin.
      
It was revealed that the (010) surface has polygonal growth macrohills of the dislocation nature, small hillocks developing by the mechanism of successive two-dimensional nucleation, and numerous two-dimensional nuclei.
      
The polygonal character of self-similar growth with a limited radius of deviation from the limiting polygon is demonstrated and formulas for both sectoral and global growth rates are obtained.
      
Diffraction on a grating of dielectric cylinders with regular polygonal cross sections on a substrate
      
Diffraction of an electromagnetic wave on a grating consisting of parallel dielectric bars with regular polygonal cross sections placed on a substrate inside a dielectric layer is considered.
      
The properties of these lenses are compared with those whose poles have a polygonal profile.
      
It is shown that sufficiently wide ideal-center poles provide a better field quality than polygonal poles.
      
A technology of polygonal nickel microclusters aligned in the same direction has been developed.
      
 

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