"Really awkward": The President, after all, has stood by the necessity of the Section 215 program and objected to legislative proposals to curtail it.
We give another axiom for symmetric spaces and study their relationships in Section 2. We give common fixed-point theorems of four mappings in symmetric spaces and give some examples which justifies the necessity of axioms in Section 3. A symmetric on a set is a function satisfying the following conditions: (i) if and only if for, (ii) for all .
Comparing the X-ray microbeam diffraction with electron diffraction techniques there is a clear advantage for X-ray experiments as they lead to quantitative results on individual fibres without the necessity of elaborate specimen sectioning and handling.
The proposed method includes the strain hardening benefits for stocky sections, and abolished the necessity of calculating effective cross-sectional properties for slender sections.
In addition to dampening oscillations in the viscosity mentioned in the previous section, the necessity of the smoothing step stems from the fact that the viscosity is computed once at the beginning of every new timestep before its value is used in (15).
Without the further necessity of expanding expressions, in this section, we recall that every finite energy signal s(t) can be decomposed over a wavelet orthogonal basis according to: s(t) = sumlimits_{j=-infty}^{+infty}sumlimits_{k=-infty}^{+infty}langle{s,psi_{j,k}}ranglepsi_{j,k}.
We will discuss this type of necessity in sections 2.3 and 2.6, but we can begin with the intuitive idea that there is a kind of necessity that a proposition has now when the content of the proposition is about something that occurred in the past.
The discussion of assumption (4.7) in the Concluding Remarks of Section 6 does not focus on the necessity or sufficiency of it.
This reply anticipates the next section, involving the necessity of the justification condition.
This section discusses the necessity of decoupling congestion control from TCP in multi-hop wireless networks.
