Sentence examples for is obviously bounded from inspiring English sources

For any bounded open subset, is obviously bounded.

If ∥ x ′ ∥ p = 0, then ∥ x ′ ∥ p is obviously bounded.

Thus, the node degree of SYG is obviously bounded by k.

To approach this aim, we have to verify that is bounded, where is obviously bounded.

Then { 〈 C x n, x n 〉 } is obviously bounded from above.

A place belonging to a P-invariant is obviously bounded, i.e. the number of tokens on each place is finite in any reachable marking, and CPI causes structural boundedness, i.e. boundedness for any initial marking.

These operators are obviously bounded.

Since the integrals over the derivatives of z are obviously bounded due to the estimates of Theorem 3.1, finally we have a look at the last item on the left-hand side of (2.21), κ ( u 2 − z ) ( ψ 2 − ξ ), (5.18).

However, since ( ∫ 0 T ∫ D | q | 2 ( y + δ ) d ( x, y ) d t ) 1 / 2 ≤ c ε, the integrals over items (5.15) and (5.16) can only be estimated by c ε − 1 / 2 τ.   (iv) Since the integrals over the derivatives of z are obviously bounded due to the estimates of Theorem 3.1, finally we have a look at the last item on the left-hand side of (2.21), κ ( u 2 − z ) ( ψ 2 − ξ ), (5.18)  .

By hypotheses on C, the operator C ˜ is obviously demicontinuous, bounded, and satisfies condition ( S + ).

Bounded sequences are obviously statistically bounded as the empty set has zero natural density.