Sentence examples for be two continuous functions from inspiring English sources

Let and be two continuous functions.

Let be two continuous functions which are differentiable on.

Let f, g : [ a, b ] → R be two continuous functions which are differentiable on ( a, b ).

Let p : Ω × R → R and q : Ω × Ω × R → R be two continuous functions.

Let T and S be two continuous functions from Ω into Ω such that: (a) T S = S T.   (b) T is affine.

Let (x_{0}inmathbb{R}), and let p, q be two continuous functions on (Vsetminus{x_{0}}) for some neighborhood V of (x_{0}).

where, is a continuous function, and are continuous functions, with,,,,,, and are two continuous functions.

Suppose that (F, G :I times Rtimes Rrightarrow R) are two continuous functions, Lipschitz continuous relative to their last two arguments.

(2.1) Here (b(x)) and (sigma(x)) are two continuous functions on (mathbb{R}^{m}) and satisfy the following conditions: (A1) (b(x)) and (sigma(x)) are continuous differentiable;   (A2) there exists a positive constant M such that (|b(x)|+|sigma (x)|< M(1+|x|)).  .

(Hkd) there are two continuous function and    such that.

Let Ω : X × X × Λ → X, Θ : X × X × Λ → Y be two continuous vector-valued functions satisfying Ω ( y, y, γ ) = 0 and Θ ( y, y, γ ) = 0 for each y ∈ X, γ ∈ Λ.