Sentence examples for becomes a particular case from inspiring English sources

Then the problem (SQIP) becomes a particular case of (SQVR) and Theorem 4.1 is a direct consequence of Theorem 2.1.

Proof Setting α = m, F 1 ( x, z, y ) = Z ∖ ( f 1 ( x, z, y ) + int C ) and F 2 ( u, z, y ) = Z ∖ ( f 2 ( u, z, y ) + int C ), problem (SWQVEP) becomes a particular case of (SQVIP α ) and Corollary 18 is a direct consequence of Theorem 8.

Proof Setting α = m, F 1 ( x, z, y ) = f 1 ( x, z, y ) − C and F 2 ( u, z, y ) = f 2 ( u, z, y ) − C, problem (SSQVEP) becomes a particular case of (SQVIP α ) and the Corollary 20 is a direct consequence of Theorem 8.

Proof Let the relation R i be defined as follows: R i ( x i, x i ˆ, y i )  holds iff f i ( x i, x i ˆ, y i ) ∉ − int C i. Then the problem (WSQVEP) becomes a particular case of (SQVR) and Theorem 5.1 is a direct consequence of Theorem 2.1.

In fact, let (Pi = mathbb{T}), (e_{Pi^=t_{0}), (delta (s,t)=delta_ s,t)) and (delta (s^{-1},t)=delta^{-1}(s,t)=delta_ s,t)), where (sin [t_{0},+infty)_{mathbb{T}^) and (t_{0}) is an initial point, then all the results from [15] become a particular case of the established results in this paper.

This becomes a particular problem in an indoor setting.

It is seen that the Hamiltonian (7) becomes completely separable for a particular case when the external magnetic field is zero (γ = 0), and the geometric parameters of QDs satisfy the following condition: η e ω e = η h ω h.

But Giuliani has become a special case.

However, Downie and Macnaughton [ 23] suggest that scientific facts only become evidence when the clinician decides the information is relevant to a particular case.

This is a particular case.

"That's a particular case," Ludden said.