Sentence examples for uniformly below from inspiring English sources

In the following, we prove A V z ( X ) has uniformly below bound.

Note that when ∀j ∈ E, α(·(j)) is integral with respect to D j, we have ∫ R q | α ( y ( j ) ) | D j ( d y ) < + ∞, therefore A V z ( X ) has uniformly below bound.

In this process, the spring is heated uniformly below the material transformation temperature.

Note that inside the triangle formed by the three receivers, other than close to the edges of the triangle, the error is uniformly below 0.1 m.

The concentrations of S42−, S52−, S62− and S72− calculated by Method II using chloroform extraction and cyanolysis data for ΣS0 are uniformly below 0.01 μM whereas actual values measured by methyl triflate derivatization are more than 10-fold higher.

The ground layer is thick and is usually divided into two parts: next to the white layer is a thin layer of loess with fine clay particles tightly connected and distribute uniformly; below the fine layer is a coarse mud layer with larger clay particles mixed with different sizes of sand and small stones.

Since the zeros of (u_{j,+}(a,cdot)) and (u_{j,+}^{prime }(a,cdot)) are all real and uniformly bounded below, by adding (if necessary) a sufficiently large constant to (q_{1}) and (q_{2}), we may assume that all zeros of (u_{j,+}(a,cdot)), (u_{j,+}^{prime}(a,cdot)), and (omega_{j}(cdot)) are in ([1,infty)). In this case, all these six functions are m-type (see [7], p.2781).

For any irreducible subvariety X of this abelian scheme, we prove that the Neron-Tate height of any point in an explicit Zariski open subset of X can be uniformly bounded from below by the height of its projection to the base curve.

Then (u_{2} ( t ) =x_{1} ( t ) -z_{1}^{ast} ( t ) ) is uniformly ultimate bounded below, hence lim_{trightarrowinfty}inf x_{1} ( t ) geqln bigl( ( overline{a}-overline{c/gamma} ) /overline {b} bigr) -overline{a} omega- ( overline{a}-overline{c/gamma} ) omega exp ( overline{a} omega+M_{1} ) :=k_{1}.

It should be noted that the feasibility of our uniform convexity condition depends on an effective relationship between the boundary operator ({mathcal {G}}) and the curvature matrix (K_A[partial Omega ]) to ensure at least that the matrix begin{aligned} P(D_pA x,z,p cdot nu (x))P end{aligned}is uniformly bounded from below, for all (xin partial Omega ), (zin {mathcal {I}}(x)), (G x,z,p ge 0).

The pale morph resembles the Red-tailed in having a rufous tail, brown upperparts, and pale underparts, but is more uniformly streaked below.