This is an addendum to the paper “Deformation of L∞-Algebras” [9]. We explain in which way the deformation theory of L∞-algebras extends the deformation theory of singularities. We show that the construction of semi-universal deformations of L∞-algebras gives explicit formal semiuniversal deformations of isolated singularities. Introduction In this paper, we apply the following general idea for...

Using Theorem 1 (or, rather, the analogous result for higher-dimensional Euclidean spaces) we deduce4' 6 THEOREM 2. Let D be any partial differential operator with constant coefficients, and let T be any distribution. Then we can find a distribution S such that DS = T. This result is also valid if D is a partial differential-difference operator with constant coefficients. Remark: We can also gi...

For integers a and b such that 0 ≤ a ≤ b, a graph G is called an [a, b]−graph if a ≤ dG(x) ≤ b for every vertex x of G and a factor F of a graph is called an [a, b]−factor if a ≤ dF (x) ≤ b for every vertex x of F . We prove the following theorems. Let 0 ≤ l ≤ k ≤ r, 0 ≤ s, 0 ≤ u and 1 ≤ t. Then an [r, r+s]−graph has a [k, k+ t]-factor if ks ≤ rt. Moreover, if (k− l)s+ (r−k)u ≤ (r−1)t, then an ...

Background Treatment of patients with Takayasu arteritis (TAK) is challenging in-spite the use conventional cytotoxic agents and biologics. Tofacitinib has been reported to be effective in inducing maintaining remission around 80% refractory TAK [1]. Objectives To assess efficacy safety tofacitinib Indian TAK. Methods In this retrospective study, medical records consecutive being treated either...

2-Amino-3-methylimidazo[4,5-f]quinolone (IQ), a heterocyclic amine found in cooked meats, undergoes bioactivation to a nitrenium ion, which alkylates guanines at both the C8-dG and N2-dG positions. The conformation of a site-specific N2-dG-IQ adduct in an oligodeoxynucleotide duplex containing the iterated CG repeat restriction site of the NarI endonuclease has been determined. The IQ moiety in...

Genetic defects in like-glycosyltransferase (LARGE) cause congenital muscular dystrophy with central nervous system manifestations. The underlying molecular pathomechanism is the hypoglycosylation of α-dystroglycan (α-DG), which is evidenced by diminished immunoreactivity to IIH6C4 and VIA4-1, antibodies that recognize carbohydrate epitopes. Previous studies indicate that LARGE participates in ...

OBJECTIVE To investigate the relationships between sick building syndrome and mold in newly-built dwellings. METHODS Symptoms of 61 residents in 18 dwellings were surveyed by standardized questionnaires. Mold sampling was done by gravity sampling using an open Petri dish. Potato dextrose agar (PDA) and dichloran-18% glycerol agar (DG-18) were used as the culture medium. RESULTS There were 6...