The phrase "a condition that guarantees" is correct and usable in written English.
It can be used when discussing a specific requirement or situation that ensures a particular outcome or result.
Example: "In order to achieve success, there must be a condition that guarantees the availability of resources."
Alternatives: "a requirement that ensures" or "a stipulation that secures".
Meanwhile, the coefficient matrix satisfies a condition that guarantees the fast approximation by the shift-invert Arnoldi method.
Furthermore, Proposition 2 implies a condition that guarantees that the proposition holds.
Let us see now a condition that guarantees the index is equal to zero on V ρ for some appropriate ρ > 0. Lemma 2.6 Assume that.
And why should we suppose that nothing can be a reason unless we can specify a condition that guarantees its status as a reason, and that it is only a reason when present in a larger state within which it is guaranteed to serve as such?
As a consequence, a simple sufficient condition that guarantees the extinction of the infected individuals is presented with a couple of illustrative examples.
In this section, we will present a new sufficient condition that guarantees the global robust asymptotic stability of the equilibrium point of the neural network model (2.1), which is stated in the following theorem.
Furthermore, we elicit a necessary and sufficient condition that guarantees strong convergence of the iterative sequence (5) to a common fixed point of the family { T j } j = 0 N − 1 in q-uniformly smooth Banach spaces.
A necessary and sufficient condition that guarantees the existence of the filter is given, which establishes a fundamental limit on the mean square capacity of each fading channel.
Moreover, we also elicit a necessary and sufficient condition that guarantees strong convergence of the modified Mann's iterative sequence to a fixed point of T in a real Banach spaces with the Fréchet differentiable norm.
The authors presented some interesting properties of the exponential function on time scales and obtain a sufficient and necessary condition that guarantees the existence of the periodic solutions of the equation.
We next give the condition that guarantees the occurrence of quenching in a finite time.
