Sentence examples for be a compact interval from inspiring English sources

Let be a compact interval.

Let Λ ⊂ R be a compact interval.

Let ([a,b]) be a compact interval.

Let J ⊂ R be a compact interval.

Let (T=[c,d]subsetmathbb{R}) be a compact interval.

Let (Jsubseteq{I}) be a compact interval containing (s_{0}).

Our main result is the positive commutator estimateχI(H2Δg)i2[H2Δg,A]χI(H2Δg)⩾CχI(H2Δg 2, where H↑∞ is a large parameter, I is a compact interval in (0,∞), and χI its indicator function, and where A is a differential operator supported outside a compact set and equal to (1/2)(rDr+ rDr)∗) near infinity.

Since and is a compact interval, therefore, suppose that,.

Let, where is a compact interval such that and.

Let    is a compact interval in and be a continuous, increasing and convex such that for, be defined in (1.5) then,    such that (3.2).

(iii) u is upper semi-continuous on ℝ.   (iv) ([u]_{0}=overline{{xin{mathbb{R}}: u(x)>0}}) is a compact interval, where (overline{A}) is the closure of the set A.  .