Sentence examples for be partially differentiable on from inspiring English sources

Mathematically speaking, we suppose the probability of reception to be partially differentiable on the three-dimensional interval that agrees with aforementioned restrictions on the configuration parameters (e.g., communication density not larger than 500).

Assume that D is a domain and ∂D is the boundary of the domain on the 2D plane, expressed in the Cartesian coordinates ( x, y ) ∈ R 2. Let X 1 = X = X ( x, y ) and X 2 = Y = Y ( x, y ) be partially differentiable functions with respect to x 1 = x and x 2 = y in D. There is only 1 !

Let X = X ( x, y ) and Y = Y ( x, y ) be partially differentiable functions with respect to x and y in D. In the case of a closed integral path, i.e., A ( x A, y A ) = B ( x B, y B ), the divergence theorem of a triangular integral on the 2D plane holds: (2.14).

A bivariate fuzzy number-valued function (F:mathfrak{D}rightarrow mathbb{R}_{mathcal{F}}) is said to be partially (i -differentiable (or parti -differentiableentiable) or (mathfrak{D}) if it is partially dii -differentiablehe sense (ii -differentiablefinition 2.1.

(iv) is continuous on and continuously partially differentiable on, and (3.51).

(iii) is continuous on and continuously partially differentiable on, and (3.50).

So we just need to prove the corresponding results hold true when f is partially (ii -differentiable.

It is a direct consequence of Theorem 2.19 in [25] when f is partially (i -differentiable wi -differentiable_{i}).

Let be twice partially differentiable in its three variables.

Q.E.D. Lemma 2 Let Y = Y ( x, y ) be a partially differentiable function with respect to x and y.

Lemma 1 Let X = X ( x, y ) be a partially differentiable function with respect to x and y.