Sentence examples for be absolutely continuous and from inspiring English sources

(t_0), as the differentiability of x and of (Fcirc x) are also true a.e., since x is supposed to be absolutely continuous and F is locally Lipschitz.(square ).

The Čebyšev inequality (1.4) also holds if f, g : [ a, b ] → R are assumed to be absolutely continuous and f ′, g ′ ∈ L ∞ [ a, b ], while ∥ f ′ ∥ ∞ = ess sup t ∈ [ a, b ] | f ′ ( t ) |.

If, then is absolutely continuous and.

Since is absolutely continuous and (3.13).

For, we have that and are absolutely continuous and.

The spectrum of this operator is absolutely continuous and consists of intervals separated by gaps.

If u ∈ H, then u is absolutely continuous and u ′ ∈ L 2 ( [ 0, T ] ).

are absolutely continuous, and ( f m ) ′ ( t ) = g m ( t ) for all t ∈ R + ∖ Q +.

The function ε 0 ( x ) is absolutely continuous, and ε ( x ) ∈ L 2 ( 0, T ).

If u ∈ H 0 1 ( 0, 1 ), then u is absolutely continuous and u ′ ∈ L 2 [ 0, 1 ].

If u ∈ H 0 1 ( 0, T ), then u is absolutely continuous and u ′ ∈ L 2 ( 0, T ).