Sentence examples for be a minimizing sequence from inspiring English sources

Let ({t_{n}}) be a minimizing sequence.

Let ({u_{n}}) be a minimizing sequence of (I_{lambda}).

Let be a minimizing sequence for problem (13).

Let ({u_{n}}) be a minimizing sequence of (c^_{k}).

Proof of Theorem 1.1 Let ( w ¯ n, z ¯ n ) ∈ S be a minimizing sequence of Ψ.

Let ({u_{n}}subset H^{alpha}({mathbb{R}^{N}})) be a minimizing sequence of (3.3).

Since is a minimizing sequence, we therefore have shown that is in fact a minimizer.

Therefore, if ((rho_{n})) is a minimizing sequence of F in ({mathcal{A}}_{M}), then ((Trho_{n})) is a minimizing sequence of F in ({mathcal{A}}_{M}) too.

Since F is translation invariant, the sequence ((Trho_{n} )) is a minimizing sequence too.

In particular we get { T s n + t ( z n ) } is a minimizing sequence of τ.

Therefore { v n } is a minimizing sequence for the problem ( I q ).