Results 21 to 30 of about 19,878,416 (347)
Explanation of the cell orientation in a nanofiber membrane by the geometric potential theory
Cell orientation plays an important role in tissue engineering, and many experiments showed that aligned nanofibers have a good guide for cell orientation, but its biomechanism is not clear.
Jie Fan +6 more
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Monogenic Functions in a Finite-Dimensional Semi-Simple Commutative Algebra
We obtain a constructive description of monogenic functions taking values in a finite-dimensional semi-simple commutative algebra by means of holomorphic functions of the complex variable.
Plaksa S. A., Pukhtaievych R. P.
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Elastic Stress Field beneath a Sticking Circular Contact under Tangential Load
Based on a potential theoretical approach, the subsurface stress field is calculated for an elastic half-space which is subject to normal and uniaxial tangential surface tractions that—in the case of elastic decoupling—correspond to rigid normal and ...
Emanuel Willert
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Shaped fibers with irregular cross-section has large specific surface area, high air permeability and low pressure drop, and are widely used in cigarette filters. Cellulose acetate shaped fibers are produced by the dry spinning, and fibers’ cross-section
Zhanping Yang +9 more
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Integral theorems for the quaternionic G-monogenic mappings
In the paper [1] considered a new class of quaternionic mappings, so- called G-monogenic mappings. In this paper we prove analogues of classical integral theorems of the holomorphic function theory: the Cauchy integral theorems for surface and ...
Shpakivskyi V. S., Kuzmenko T. S.
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Problem on extremal decomposition of the complex plane
In geometric function theory of a complex variable problems on extremal decomposition with free poles on the unit circle are well known.
Denega Iryna, Zabolotnii Yaroslav
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Modified logarithmic potential theory and applications [PDF]
We develop potential theory including a Bernstein-Walsh type estimate for functions of the form $p(z)q(f(z))$ where $p,q$ are polynomials and $f$ is holomorphic.
T. Bloom +3 more
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We consider monogenic functions taking values in a three-dimensional commutative algebra A2 over the field of complex numbers with one- dimensional radical. We calculate the logarithmic residues of monogenic functions acting from a three-dimensional real
Pukhtaievych Roman, Plaksa Sergiy
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We develop a numerical method for solving three-dimensional problems of fluid filtration and absorption in a piecewise homogeneous medium by means of boundary integral equations.
Alexey Setukha, Rufina Tretiakova
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In the steady-state picture, the magnetic field can be formulated by a curl-free potential field in the magnetosheath region, and the sheath field is uniquely and linearly determined by the upstream field and the transformation matrix which contains the ...
S. Toepfer, Y. Narita, D. Schmid
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