Sentence examples for exist values of from inspiring English sources

As the resonances are not separated much in frequency, there may exist values of the mean motion of the asteroid where both θ and θ′ would be angles of libration if either resonance existed in the absence of the other.

Finally we are able to show that there exist values of the inner radius R for which ω is an eigenvalue of (16).

First of all, there exist values of j such that d ( f x n i, f x j ) ≥ ϵ + δ 3.

Since lim n → ∞ d ( f x n, f x n + 1 ) =0, there exists an N such that d ( f x m, f x m + 1 ) < δ 6 for all  m > N. Let n i ≥ N. We will show that there exists an integer j satisfying n i < j < n i + 1 such that ϵ + δ 3 ≤ d ( f x n i, f x j ) < ϵ + 2 δ 3. (11) First of all, there exist values of j such that d ( f x n i, f x j ) ≥ ϵ + δ 3.

It is shown that there exist critical values of the pit density for the explosive growth of metastable pits that leads to a transition to pitting corrosion.

It is not known if there are an infinite number of Mersenne primes, though they thin out so much that only 39 exist for values of n below 20,000,000, and only 11 more have been discovered for larger n.

As Eq. (14) is underdetermined, there exist many values of a j that satisfy Eq. (14).

In the range (m_{C} leq m<0), there exist two values of (f^{primeprime} ( 0 ) ).

For any realization of channel matrix, there exist unique values of the Lagrange dual variables and for any Nash equilibrium of the game.

In other words, this ethical point of view is molded by Meinong's value objectivism: values exist independently of value experiences.

There exists two values of the critical gas turbine efficiency.