A (δ, g)-cage is a regular graph of degree δ and girth g with the least possible number of vertices. Recently, some authors have addressed the problem of studying their connectivity parameters. In this direction, it was conjectured by Fu, Huang and Rodger that every (δ, g)-cage is maximally connected, i.e., it is δ-connected, and they proved this statement for δ = 3. We provide a new contributi...

The effect of activation and overexpression of the nuclear receptor PPAR-β/δ in human MDA-MB-231 (estrogen receptor-negative; ER(-)) and MCF7 (estrogen-receptor-positive; ER(+)) breast cancer cell lines was examined. Target gene induction by ligand activation of PPAR-β/δ was increased by overexpression of PPAR-β/δ compared with controls. Overexpression of PPAR-β/δ caused a decrease in cell prol...

Spatial variation in marine oxygen isotope ratios (δ (18)O) resulting from differential evaporation rates and precipitation inputs is potentially useful for characterizing marine mammal distributions and tracking movements across δ (18)O gradients. Dentine hydroxyapatite contains carbonate and phosphate that precipitate in oxygen isotopic equilibrium with body water, which in odontocetes closel...

A stereoselective synthesis of (25S)-Δ(1)-, (25S)-Δ(1,4)-, (25S)-Δ(1,7)-, (25S)-Δ(8(14))-, (25S)-Δ(4,6,8(14))-dafachronic acid, methyl (25S)-Δ(1,4)-dafachronate and (25S)-5α-hydroxy-3,6-dioxocholest-7-en-26-oic acid is described. (25S)-Δ(1,4)-Dafachronic acid and its methyl ester are natural products isolated from corals and have been obtained by synthesis for the first time. (25S)-5α-Hydroxy-3...

The measurement of stable carbon ( 13 δ C) and nitrogen ( 15 δ N) isotopes in tissues of organisms has formed the foundation of isotopic food web reconstructions, as these values directly reflect assimilated diet. In contrast, stable hydrogen ( 2 δ H) and oxygen ( 18 δ O) isotope measurements have typically been reserved for studies of migratory origin and paleoclimate reconstruction based on s...

We consider a real analytic map-germ (f, g) : (R, 0) → (R, 0). Under some conditions, we establish degree formulas for the following quantities : χ({f = α} ∩ {g = δ} ∩B ε ), χ({f = α} ∩ {g ≥ δ} ∩B ε )− χ({f = α} ∩ {g ≤ δ} ∩B ε ), where (α, δ) is a regular value of (f, g) and 0 < |(α, δ)| ¿ ε ¿ 1.

We have previously shown that peroxisome proliferator activating receptor ß/δ (PPAR β/δ is overexpressed in psoriasis. PPAR β/δ is not present in adult epidermis of mice. Targeted expression of PPAR β/δ and activation by a selective synthetic agonist is sufficient to induce an inflammatory skin disease resembling psoriasis. Several signalling pathways dysregulated in psoriasis are replicated in...

Suppose that κ is indestructibly supercompact and there is a measurable cardinal λ > κ. It then follows that A1 = {δ < κ | δ is measurable, δ is not a limit of measurable cardinals, and δ is not δ+ supercompact} is unbounded in κ. If in addition λ is 2λ supercompact, then A2 = {δ < κ | δ is measurable, δ is not a limit of measurable cardinals, and δ is δ+ supercompact} is unbounded in κ as well...

and Applied Analysis 3 Lemma 4. For λ > 0, one has 󵄩󵄩󵄩󵄩󵄩 K δ,l,j λ f (x) 󵄩󵄩󵄩󵄩󵄩 2 2 ≤ C2 −2M(j+l) δ 2M󵄩󵄩󵄩󵄩f 󵄩󵄩󵄩󵄩 2 2 , (19) where the constant C is independent of λ and δ. Proof. With the method similar to the proof of Lemma 4 in [9], we write h(t) = φ(t) − φ(2t) and expandm into a Taylor series around λt. Then, ?̂? δ,l,j λ (t) = ∫m δ (λ(t − 2 −(j+l) δ 2 r λ )) ĥ (r) dr = ∫m δ (λt − 2 −(j+l) δ 2 ...

Let δ(P) = (δ0, δ1, . . . , δd) be the δ-vector of an integral convex polytope P of dimension d. First, by using two well-known inequalities on δ-vectors, we classify the possible δ-vectors with ∑d i=0 δi ≤ 3. Moreover, by means of Hermite normal forms of square matrices, we also classify the possible δ-vectors with ∑d i=0 δi = 4. In addition, for ∑d i=0 δi ≥ 5, we characterize the δ-vectors of...