Sentence examples for formulate and establish from inspiring English sources
We formulate and establish a noncommutative version of the well known Helson Szegö theorem about the angle between past and future for subdiagonal subalgebras.
For a coherent EX-module M, Kashiwara and Schapira introduced the complex RHomEX(M, OX) of holomorphic solutions to M. Very recently this complex was used by R. Ishimura (1998, J. Math. Pures Appl.77, 647 654) to formulate and establish the Cauchy Kowalevski theorem for E-modules.
In addition, further studies should be pursued to determine the efficacy of the available EULAR recommendations, to better formulate and establish primary prevention guidelines regarding CRF management in RA.
Two other characterizations of nth order eigenvalues are formulated and established via the existence of nth order solutions (i.e. solutions having n zeroes) of differential inequalities [see (16), (17), (24) and (25)].
We formulate dual problems and establish weak, strong and converse duality theorems for a weakly efficient solution.
We formulate this problem and establish a general theory which has a number of applications in CAGD such as the generation of subdivision surfaces through predefined arbitrary network of curves.
In the present paper, a pair of Wolfe type higher-order multiobjective nondifferentiable symmetric dual program have been formulated and we established weak, strong, and converse duality theorems under K-F convexity assumptions.
OL, YP and MS formulated, designed and established the PDCO algorithm.
20 In addition, the Cambodian MoH increased its capacity as demonstrated by its role in formulating HSP2 and establishing the RMNCH Taskforce.
Our results demonstrate that the novel compound P-I is a strong agent against breast cancer, especially when formulated in liposomes, and establish the critical role of the Trx system in mediating this effect through downstream redox signaling.
The Ministry of Women in Development was established in 1988 to formulate and implement women's programs and especially to make the public aware of women's issues.
