Sentence examples for be an open domain from inspiring English sources

Let be an open domain, and be continuous.

Let Ω be an open domain (that may be unbounded) in R N with cone property.

Let be a positive smooth function on an open interval, of the real line, and let be an open domain of.

Let (mathfrak{D}= a,b times(c,d)) be an open domain, where (a,b,c,din mathbb{R}cup{pminfty}) with (a< b), (c< d), and let (F:mathfrak {D}rightarrowmathbb{R}_{mathcal{F}}) be a bivariate fuzzy number-valued mapping and ((x_{0},y_{0} inmathfrak{D}).

Example 4.10 Let Ω ⊂ R n be an open domain.

Assume that (Omega) is an open domain in ({mathbb {R}}^d,) (rho =({rho }_{1},ldots,{rho }_{d})) is an d-tuple of non-negative integers and (|rho |=sum _{k=1}^{d} {rho }_k).

Let (Omegasubset R^{2}) be an open bounded domain.

Let be an open bounded domain in,, with a smooth boundary.

Let be an open bounded domain in,   with smooth boundary, and let be given.

be an open bounded domain in with smooth boundary, and denotes the measure of.

Let Ω be an open polyhedral domain in ℝ n (n = 2, 3), and 0 < T ≤ ∞.