Sentence examples for bounded by a fixed from inspiring English sources
We give an information-theoretic proof that the approximation errors decay exponentially with the passage of time, resulting in a total expected error that remains bounded by a fixed constant at all times.
However, when the map is restricted to tensors with length bounded by a fixed quantity, a weaker necessary and sufficient condition is established.
More precisely, Shapiro proved that if the elements of an orthonormal sequence and their Fourier transforms are all pointwise bounded by a fixed function in L2(R) then the sequence is finite.
Then, the MILP is relaxed as a linear program (LP), which can easily be solved by any standard LP algorithm in polynomial time (time that is bounded by a fixed polynomial of the length of the input).
Under these conditions, this also proves that the total number of set-maximal matches within X is bounded by a fixed multiple of NM.
Local transferability refers to testing association of all SNPs, regardless of LD, in a region around the original reported SNP, bounded by a fixed distance or the most extended SNPs in LD [ 44].
The main result of this paper, Theorem 2, shows the existence of such bounds if both the number of inputs and the number of outputs per node are bounded by a constant and a fixed minimal fraction of all regulatory functions is assumed to be biased.
Furthermore, compared with the initial-condition based finite-time consensus, the settling time is bounded by a constant within fixed-time regardless of the initial condition.
(in which, with, fixed) are bounded by a constant which is independent of and.
Unfortunately, this was not explicitly stated in this form in [1], since for the construction to work, we only needed that the total number of variables in the set Y = [ N ] ∖ X is bounded from above by a fixed constant times ( log ( n ) ) 2 (see (10) of [1]).
such that P3 and P4 belong to a given conic κ on a projective plane, while P1 and P2 range over a region R that is bounded by or otherwise fixed by κ.
