Sentence examples for Continuous modified from inspiring English sources

Thus T is a triangular α-proximal admissible mapping with T ( A 0 ) ⊆ B 0. Moreover, T is a continuous modified α-proximal C-contraction.

Theorem 3.3 Let ( X, d ) be a complete metric space, and let f : X → X be an orbitally continuous modified generalized α- ψ st -Meir-Keeler contractive mapping.

Suppose that f is a continuous modified α-ψ-Meir-Keeler contractive mapping, and that there exists x 0 ∈ X such that α ( x 0, f x 0 ) ≥ 1, then f has a fixed point.

Assume that T : A → B is a continuous modified α-proximal C-contraction such that the following conditions hold: (i) T is a triangular α-proximal admissible mapping and T ( A 0 ) ⊆ B 0,   (ii) there exist x 0, x 1 ∈ A 0 such that d ( x 1, T x 0 ) = d ( A, B ) and α ( x 0, x 1 ) ≥ 1.  .

For embryo culture, a continuous modified synthetic oviduct fluid (mSOF) containing 100 ng/ml EGF, 0.5 mM glucose, and 2 μl/ml ITS (insulin, transferrin and selenium) was used.

Discrete Reduced Modified Weibull: By taking ( {g}_{theta }(x)=sqrt{x}left(1+b{c}^xright). ) Almalki (2014) derived this distribution starting with continuous modified Weibull (Almalki 2014) having respective pdf and sf   {f}_X x)=frac{1}{2sqrt{x}}left{alpha +beta left(1+2lambda xright){e}^{lambda x}right}{e}^{-alpha sqrt{x}-beta sqrt{x}{e}^{lambda x}},;x>0, alpha,;beta,;lambda >0.

Textured yarns are man-made continuous filaments, modified to impart special texture and appearance.

The continuous equation modified with the subsidence term is given by frac{partial rho }{partial t}+frac{partial left(rho uright)}{partial x}+frac{partial left(rho vright)}{partial y}+frac{partial left(rho left(w+{w}_{mathrm{LS}}right)right)}{partial z}=D (1).

The new submarines may not last so long in service as the 32 years assumed by Blunt, and the principle of continuous-at-sea-deterrence could be modified – continuous only at times of international tension, for example – or even abolished by a future government.

Theorem 3.1 generalizes Theorem 3.1 in [3] from Hilbert spaces to more general Banach spaces; The mappings T in [3, Theorem 3.1] is weakened from Lipschitzian to continuous; We modify the condition of f, i.e., we suppose that f is Lipschitz strongly pseudocontractive.

To resolve the chattering problem caused by the discontinuous sign function, a modified continuous output feedback controller is proposed by introducing functions with continuous property.