scholarly journals Tensor series expansion of a spherical function for the use in constitutive theory of materials containing orientable particles

2018 ◽  
Vol 67 (1) ◽  
pp. 73 ◽  
Author(s):  
H Herrmann ◽  
M Beddig
Keyword(s):  
Series Expansion ◽  
Spherical Function ◽  
Constitutive Theory

ON CONSTRUCT OF THE RIGHT OF PRE-EMPTION IN RESPECT OF PARTICIPATORY INTEREST (SHARES)

2020 ◽  
Vol 20 (4) ◽  
pp. 94-219
Author(s):  
I.S. CHUPRUNOV
Keyword(s):  
General Rule ◽  
Constitutive Theory ◽  
Freedom Of Contract ◽  
Legal Nature ◽  
Public Corporation ◽  
Russian Law ◽  
Right Of First Refusal ◽  
The Right

The paper provides analysis of the legal nature and the mechanism for exercise of the right of pre-emption (right of first refusal) in respect of execution of a contract taking as an example of right of first refusal to purchase a stake in a non-public corporation, and also examines the boundaries of parties’ autonomy and freedom of contract in this area. The author comes to the conclusion that the key elements of the construction of the right of pre-emption are the transformation powers that belong to the right holder. The author also demonstrates that, notwithstanding their dominance in Russian law, the views, which suggest that exercise of the right of pre-emption leads to “transfer of rights and obligations of a purchaser” (the translative theory), should be rejected. These views must be replaced with the constitutive theory, according to which exercise of the right of pre-emption results in a new contract between the right holder and the seller (as a general rule, on the same terms that were agreed between the seller and the purchaser).

Some Notes on Taylors Series Expansion with ODE´S

2015 ◽  
Vol 18 (2) ◽  
pp. 149-156
Author(s):  
Shawki A.M. Abbas ◽  
Keyword(s):  
Series Expansion

scholarly journals Geometric series expansion of the Neumann–Poincaré operator: Application to composite materials

2021 ◽  
pp. 1-26
Author(s):  
ELENA CHERKAEV ◽  
MINWOO KIM ◽  
MIKYOUNG LIM
Keyword(s):  
Composite Materials ◽  
Series Expansion ◽  
Function Theory ◽  
Effective Conductivity ◽  
Two Dimensions ◽  
Boundary Integral ◽  
Geometric Function Theory ◽  
Boundary Integral Formulation ◽  
Geometric Function ◽  
Series Expression

The Neumann–Poincaré (NP) operator, a singular integral operator on the boundary of a domain, naturally appears when one solves a conductivity transmission problem via the boundary integral formulation. Recently, a series expression of the NP operator was developed in two dimensions based on geometric function theory [34]. In this paper, we investigate geometric properties of composite materials using this series expansion. In particular, we obtain explicit formulas for the polarisation tensor and the effective conductivity for an inclusion or a periodic array of inclusions of arbitrary shape with extremal conductivity, in terms of the associated exterior conformal mapping. Also, we observe by numerical computations that the spectrum of the NP operator has a monotonic behaviour with respect to the shape deformation of the inclusion. Additionally, we derive inequality relations of the coefficients of the Riemann mapping of an arbitrary Lipschitz domain using the properties of the polarisation tensor corresponding to the domain.

Sign in / Sign up

Export Citation Format

Share Document