Sentence examples for at least one random from inspiring English sources

Then F has at least one random fixed point.

Then from Theorem 4.5 problem (5.3) has at least one random mild solution.

By Theorem 1 we conclude that there exists at least one random solution for this system.

If ({R_{0}^{T} > 1}) holds, then model (4) has at least one random positive T-periodic solution in Γ.

Under the conditions of Theorem  3.2 and (H7), problem (1.1) has at least one random mild solution.

If ({R_{0}^{T} > 1}), the model is proved to admit at least one random periodic solution which is nontrivial and located in ((0,N times 0,N)).

Theorem 1 Suppose that hypotheses (HA), (Hf), (Hg), (HI), (Hm), (HR) and (H∗) are valid, then the nonlocal random impulsive problem (1) has at least one mild random solution.

Theorem 2 Suppose that hypotheses (HA), (Hf), (Hg′), (HI′), (Hm) and (H∗) are valid, then the nonlocal random impulsive problem (1) has at least one mild random solution provided that ∫ 0 T m ( s, ω ) d s ≤ lim inf r → + ∞ r − N ∑ k = 0 m c k ( r, ω ) ϕ ( r, ω ).

Windows 3.0 will run on PC's equipped with an Intel 80286 microprocessor, at least one megabyte of random access memory and a hard disk.

The special team will visit the eight sites, whose 1,058 structures include at least one palace, in random sequence, Mr. Butler said.

In this case, the transmitter first selects a packet needed by at least one receiver at random.