Sentence examples for bound on how far from inspiring English sources
This can be seen as an upper bound on how far the generalizations of Skolem sequences can be taken while still hoping to resolve the existence question.
This never vanishes on-cycle (where ρ = 0 ), but may do so for some | ρ | = k > 0. This sets an upper bound on how far away from the limit cycle we can describe the system using these phase-amplitude coordinates.
This never occurs on cycle (where (rho=0)) but it may do so for some (|rho|=k>0), setting an upper bound on how far from the limit cycle these phase amplitude coordinates can be used to describe the system.
Arguments from biochemistry and bioenergetics suggest the existence of a physicochemical lower bound on how far mutation rates can be decreased [2].
However Theorem 11 shows that the reference vectors are also normal if the hash function is perfectly even and gives a bound on how far off of normal the vectors can be in every other case.
This puts a bound on how low the likelihood of a trial can be.
How much confidence one should have in its conclusions depends very much on how far one accepts its premises.
"As we remember his triumphs, let us, in his memory, not just reflect on how far we've come, but on how far we have to go.
But it depends on how far it has gone and how much I feel it.
"The airlines' survival depends on how far traffic falls and how long it lasts".
