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Wiman's theorem says that an entire holomorphic function of order less than 1/2 has a minimum modulus converging to along a sequence.
Mechanical conditioning up to 90% of the fiber tensile strength increased the initial modulus converging to 100 GPa which corresponds to a stable crystalline domain orientation of 11.6°, while the unloading modulus at stresses near the tensile strength converged to ∼165 GPa which approaches the theoretical modulus of 220 GPa.
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In addition, it can be observed that the compressive strength ratio, splitting tensile strength ratio, and static elastic modulus ratio converged to approximately 0.5, 0.25, and 0.1, respectively.
The modulus of pellet seeded scaffolds increased by 60%too 1.33 ± 0.37 MPa after 28 days of culture, converging to the modulus of the native cartilage.
Then a sequence of solutions converging to zero is obtained.
The modulus and complex viscosities of the drawn samples converged to that of pure PE at high temperatures, indicating that in the melt, the behavior is dominated by the semicrystalline matrix.
According to theoretical analysis in Sections 4 and 5, the particular initial function can lead to a particular sequence of iterative function with the decreasing properties of gradient modulus on each element e, it is further proved to converge to the solution for p-Laplace equation.
Then for every sequence ({phi _n} in G), there exists a subsequence ({phi _{n_k}}) which converges to a finite limit in A. By the maximum modulus principle begin{aligned} Vert {phi _{n_k}}Vert _{B 0,epsilon )}
With the decreasing properties of gradient modulus of subdivision finite element, it has been proved that the function sequence converges to the solution of finite element formulation of p-Laplace equation.
Now (phi _{n_k}(p)) converges on (widetilde{A}), then (phi _{n_k}) on (widetilde{A}) converges to a finite limit, and hence on A by the maximum modulus principle.
The simulation result indicates that with general initial complex values, the network will converge to the complex eigenvector corresponding to the eigenvalue whose imaginary part is positive, and modulus is the largest of all eigenvalues.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com