Sentence examples for two altering from inspiring English sources
We say that a mapping f : X → X is an almost generalized s -contractive mapping if there exist L ≥ 0 and two altering distance functions ψ and φ such that ψ ( s d ( f x, f y ) ) ≤ ψ ( M s ( x, y ) ) − φ ( M s ( x, y ) ) + L ψ ( N ( x, y ) ) (2.1).
We say that a mapping f : X → X is an almost generalized s, a -contractive mapping if there exist L ≥ 0 and two altering distance functions ψ and φ such that ψ ( s d ( f x, f y, a ) ) ≤ ψ ( M a ( x, y ) ) − φ ( M a ( x, y ) ) + L ψ ( N a ( x, y ) ) (3.24).
Suppose that the following conditions hold: (i) T ( A i ) ⊆ A i + 1 for all i ∈ { 1, …, N } with A N + 1 : = A 1 ; (ii) there exist two altering distance functions ψ and φ such that ψ ( d ( T x, T y ) ) ≤ ψ ( d ( x, y ) ) − φ ( d ( x, y ) ) for all ( x, y ) ∈ A i × A i + 1 for all i ∈ { 1, …, N }. .
We say that a mapping f : X → X is a generalized s -weakly contractive mapping if there exist two altering distance functions ψ and φ such that ψ ( s p b ( f x, f y ) ) ≤ ψ ( M s f ( x, y ) ) − φ ( M s f ( x, y ) ) (3.1).
She suggests, in fact, that nostalgia has two alter egos.
DSC investigations indicated that the threading prevents the crystallization of the crown ether and allows phase mixing to some extent, since two altered Tg's were observed.
The rest of Force Two altered course to rendezvous with Force One, and this was achieved at 4 20 pm on 2 April.
Halfway through we were head-over-heels in love with each member of this family, and even found a soft spot in our hearts for T, arguably the more annoying of the two alter egos featured in this episode.
Around the middle of the video, she is joined by two alter egos of her female friends, who also dance around the pole.
The video features Gaga's two alter egos: Jo Calderone, Gaga's male ego, and Yüyi, a mermaid that was hinted to appear in the video in July 2011.
Given the diversity of NSCLC, it seems unlikely that any such 'genetic signature' will comprise only one or two altered genes.
