Sentence examples for translation identity from inspiring English sources

Furthermore, the following translation identity holds: (39).

Let Σ be a complete metric space, and let { T ( t ) } be a continuous invariant T ( t ) Σ = Σ semigroup on Σ satisfying the translation identity.

Lemma 2.2 Let {U f (t, τ)}(f ∈ Σ) be a family of processes satisfying the translation identity (2.5) and (2.6) on Banach space X and has a bounded uniform (w.r.t f ∈ Σ) absorbing set B0 ⊂ X.

(T(h Sigma=Sigma), (forall hinmathbb{R^); translation identity: U_{sigma}(t+h,tau+h)=U_{T(h)sigma} t,tau),quad forall sigmain Sigma,tgeqtau,tauinmathbb{R},hgeq0.

Furthermore, the translation semigroup ({T(h)|hinmathbb{R^) satisfies (forall hinmathbb{R^), (T(h mathcal{H}(g_{0})=mathcal{H}(g_{0})), and the following translation identity holds: U_{g}(t+h,tau+h)=U_{T(h g} t,tau),quad forall gin mathcal{H}(g_{0}), tgeq tau, tauin mathbb{R}, hgeq0.

Note that the following translation identity is valid for a general family of processes { U σ ( t, τ ) }, σ ∈ Σ, if a problem has unique solvability and for the translation semigroup { T ( l ) | l ⩾ 0 } satisfying T ( l ) Σ== Σ : U σ ( t + l, τ + l ) = U T ( l ) σ ( t, τ ), ∀ σ ∈ Σ, t ⩾ τ, τ ∈ R, l ⩾ 0. A set B 0 ⊂ E is said to be a uniformly (w.r.t.

It was billed as an "unofficial translation" – the identity of the translator was unclear.

Pumilio functions in cytoplasmic de-adenylation, translational repression, RNA localization and decay, maintenance of germline stem cell identity, translation initiation, and rRNA processing and ribosome biogenesis [ 68].

We caught up with Manseau to talk about identity, translation, and chutzpah.

Each piece was written to stand alone, and in them there wasn't the room to develop the bigger arguments that I knew the book needed –  ideas about cultural identity, translation, censorship and how stories can shape and change us.

The amino acid translation showed substantial identity and similarity to 70 kDa heat shock cognates from many different organisms, e.g. the moth Manduca sexta (91 % and 97), the bee Megachile rotundata (90% and 97%), and the mosquito Aedes aegypti (88% and 97%).