Sentence examples for be a compact differentiable from inspiring English sources
Let M be a compact differentiable manifold of real even dimension (dim_{{mathbb {R}}}(M) = 2n).
Lemma 4.3 Let I be a compact interval with nonempty interior, κ max ≥ 1, 0 < w min ≤ w max real numbers, p ∈ N 0, and φ : I → R + a piecewise continuously differentiable function with positive infimum.
Let I be a compact interval with nonempty interior, κ max ≥ 1, 0 < w min ≤ w max real numbers, p ∈ N 0, and φ : I → R + a piecewise continuously differentiable function with positive infimum.
A more general restriction is that the fundamental group (Gamma ) of a compact differentiable manifold M must be finitely presented: since by Morse theory (see [288]) M is homotopically equivalent to a finite CW-complex (M is obtained attaching finitely many cells of dimension (le dim _{{mathbb {R}}} (M))).
If (f'_{LgH}{ (x_{0} )}_{r}) is a compact interval for all (rin [0,1]), we say that f is level-wise generalized Hukuhara differentiable (LgH-differentiable for short) at (x_{0}) and the family of intervals ({f'_{LgH}{ (x_{0} )}_{r}:rin[0,1] }) is the LgH-derivative of f at (x_{0}), denoted by (f'_{LgH} (x_{0} )).
Barry Press is a compact man.
Her official car is a compact Hyundai.
Amsterdam is a compact sort of place.
Cardiff is a compact city.
where Y is a compact subset of R l, f , g : R n × R l → R, and h : R n → R m are continuously differentiable functions.
