The phrase "within a certain tolerance" is correct and commonly used in written English.
It is typically used to describe a range or margin of error that is acceptable in a certain situation. Here is an example: "The company's policy states that all orders must be delivered within a certain tolerance of 15 minutes. This allows for delays due to traffic or unforeseen circumstances."
Note that unlike the geometric methods, the global nature of the minimum cannot be claimed and global or local minimum is only reached within a certain tolerance.
These atom pairs define a set of local distances L. A distance is considered preserved in the model M if it is, within a certain tolerance threshold, the same as the corresponding distance in.
The stopping criteria used when iterating Eq. (18) is the discrepancy principle [ 24], in that the iterations are stopped when the norm of the residual has reached the noise level within a certain tolerance.
In [ 17], the authors go one step further by identifying a region in the parameter space where some of the parameters are zero-valued, others have readjusted values and where nevertheless the outputs of the original model match those of the reduced model within a certain tolerance.
Indeed, to explain the origin of mitochondria, we need actual engulfment of the future symbiont within an organism already endowed with a certain tolerance to O2, role postulated by de Duve for peroxisomes, [[ 94, 95] and references therein].
"We have a sense that, within a certain tolerances, there's a potential economic deal that may be within view," Stern said.
"Everybody has a budget or a certain tolerance for where they can go," Melvin said.
There's a certain tolerance in just hanging around, being cool with it.
There has always been a certain tolerance for eccentricity among forwards.
Although he sees a certain tolerance in French society, it does not, he says, extend to Africans.
Given a certain tolerance ε, BNB converges to an optimal solution of (31).
