Sentence examples for be a differentiable mapping from inspiring English sources

Theorem 3.1 Let f : [ 0, b ] → R be a differentiable mapping.

Let (f) be a differentiable mapping on (I^{circ }), (a,rin I^{circ }) with (a

Let (f:[a,b]rightarrowmathbb{R}) be a differentiable mapping on ((a,b)) with (a< b).

Let f : I ∘ ⊆ R → R be a differentiable mapping and a, b ∈ I ∘ with a < b.

Let f : [ a, b ] → R be a differentiable mapping on ( a, b ) with 0 < a < b.

Theorem 3.2 Let f : [ 0, b ] → R be a differentiable mapping and 1 < q < ∞.

Let (f :[a,b]tomathbb{R}) be a differentiable mapping on ((a,b)) with (a< b).

Let (f: I^{circ}subseteqmathbb{R}to mathbb{R}) be a differentiable mapping, (a, bin I^{circ}) with (a < b), and (w:[a,b]tomathbb{R}^) be a differentiable mapping.

Let (f I^{circ }subset mathbb {R}rightarrow mathbb {R}) be a differentiable mapping on (I^{circ }), (a,bin I^{circ }) with (a

Let (f: I^{circ}subseteqmathbb{R} tomathbb{R}) be a differentiable mapping, (a, b in I^{circ}) with (a < b), and (w: [a, b] tomathbb{R}^) be a differentiable mapping symmetric to (frac{a+b}{2}).

Let be a differentiable mapping on whose derivative is bounded on that is, then (1.1).