Sentence examples for bounded by some constant from inspiring English sources
In particular, we show that all these problems become tractable (actually, even solvable in linear time), if the treewidth of the involved formulae or programs is bounded by some constant.
By the above Claim (i), the last term of the above inequalities is bounded by some constant (depending on and ) times (2.27).
Hence, the last integral of (3.8) is bounded by some constant times ∫ S f q r v d σ ( for all r > p ∕ q ).
The finite type condition implies that the number of vertices in each neighborhood is uniformly bounded by some constant M independent of x, b, and the choice of I j.
But it also means that the problem can be computed in polynomial time, in case the number of indels is bounded by some constant.
Assuming that the errors of the channel coefficients are bounded by some known constants ε > 0 and β > 0[28]: | e f i | ≤ ε, | e g i | ≤ β, i = 1, ⋯, R. Figure 1 System model.
The only knowledge we have about Var{a f,θ)} and Var{γ f,θ)} is that they are bounded by some known constants, i.e., (text {Var}{a f,theta)}{leq sigma ^{2}_{a}}) and (text {Var}{gamma (f,theta)}leq sigma ^{2}_{gamma }).
There are pairs (two or four) of suitable constants such that nonlinear term does not change its sign on sets of the form, where is a nonnegative constant, and is a closed interval bounded by some pairs of constants, mentioned above.
Suppose the mean values of microphone gain and phase mismatches are imprecisely known and are bounded by some known small constants μ a and μ γ respectively, i.e., (|mathbb {E}{a_{k}(f,theta)}|leq mu _{a}), (|mathbb {E}{gamma _{k}(f,theta)}|leq mu _{gamma }), where (mathbb {E}{cdot }) denotes the mean value.
Since the number of such 3D cones is bounded by a constant k, all of them can bound the node out-degree by k.
