introduction: the aim of this study was to evaluate the influenceof different light curing systems and curing times on the micro-hardness of aresin modified glass ionomer. methods: forty two samples of resinmodified glass ionomer (rmgi) were prepared using stainless steel cylindrical mold(8 × 2 mm) and randomly divided into six groups of seven. three groups werecured with a quartz tungsten halo...

UNLABELLED Background and aims. Today light cured composites are widely used. Physical and mechanical properties of composites are related to the degree of conversion. Light curing unit (LCU) is an important factor for composite polymerization. Aim of this study is evaluation of composite resins hardness using halogen and LED light curing units. Materials and methods. In this study, 30 samples ...

This paper gives a systematic study to the general dual-polar Orlicz–Minkowski problem (e.g., Problem 4.1). involves dual volume $${\widetilde{V}}_G(\cdot )$$ recently proposed in Gardner et al. (Calc Var PDE 58:35, 2019; 59:33, 2020) order problem. As extends and qth volume, is “polar" initiated “dual" newly polar Luo (Indiana Univ Math J 69:385–420, 2020). The existence, uniqueness continuity...

We prove that, for any quantum evolution in`2 (Z D), there exist arbitrarily long time scales on which the qth moment of the position operator increases at least as fast as a power of time given by q=D times the packing dimension of the spectral measure. Packing dimensions of measures and their connections to scaling exponents and box-counting dimensions are also discussed.

We give asymptotic expressions for the number of words containing a given number of occurrences of a pattern for two families of patterns with two parameters each. One is the family of classical patterns in the form 22 · · · 212 · · · 22 and the other is a family of partially ordered patterns. The asymptotic expressions are in terms of the number of solutions to an equation, and for one subfami...

Swanson was partially motivated by the analogous question for “Frobenius powers”, which has important applications to the theory of tight closure (the so-called “localization problem;” see [HH, Section 4]). Suppose now that R has prime characteristic p > 0 and q is a power of p. The Frobenius power I [q] of an ideal I is the ideal generated by all the qth powers of the elements (equivalently, t...

We discuss the converse of a theorem of Potter stating that if the matrix equation AB = ωBA is satisfied with ω a primitive qth root of unity, then Aq+Bq = (A+B)q. We show that both conditions have to be modified to get a converse statement and we present a characterization when the converse holds for these modified conditions and q = 3 and a conjecture for the general case. We also present som...