Using the obtained solvability results, we formulate the corresponding fixed point theorem for a class of nonlinear expanding operators.
We present the theory of linear and nonlinear stable operators in a systematic way and prove solvability theorems for operator equations with differentiable expanding operators.
This is evaluated by expanding the operator as a sum of global convolution terms and local integrals with kernels that decay quickly in space.
For LPND, 4 pyramid layers, 7 × 7 binomial filter for REDUCE and EXPAND operator, the Gaussian filter of σ = 0.1, Δt = 0.2, and MAE = 0.1 are set.
Domestic operators are expanding their operations and trying to attract investors.
With more successful operators expanding and less successful operators going bankrupt, a sustainable network of minibus services evolves.
Deutsche Börse's planned purchase of the parent company would create the world's largest exchange operator, expanding NYSE Euronext's revenue from European derivatives.
By expanding of the operators Δ, the matrix Sturm-Liouville equation in (1.1) (or (1.2)) can be rewritten as the three-term recurrence [1, 23] R i + 1 x i + 2 − T i x i + 1 + R i x i = 0, i ∈ [ 0, N − 1 ], T i = R i + 1 + R i + Q i.
I figured it might be fairly low, but I didn't expect it to be this low: [According to the study,] "Curbside operators expanded daily bus operations by 32.1% in 2011, primarily due to the addition of three new hubs.
In the nearly eight years that he has led the Nasdaq OMX Group, Robert Greifeld has made his name as a deal maker, cleaning house at the market operator and expanding its size.
It's now expanding into cloud SaaS, operator services and integrated contacts data services.
