we give some sufficient conditions under which the tuple of the adjoint of weighted composition operators $(c_{omega_1,varphi_1}^*‎ , ‎c_{omega_2,varphi_2}^*)$ on the hilbert space $mathcal{h}$ of analytic functions is supercyclic‎.

the essential nutrients in the pharmacological plants play a significant role in the remedy of illnesses but, these elements at high levels; can also be dangerous and toxic. the aim of this study was to determine the concentration of macro (mg, ca, p, and k) and micro (cu, zn, fe and mn) essential elements in seven indigenous pharmacological plants growing in fars province, southern iran. they ...

effect of dietary free l-lysine on growth, food intake, and muscle composition of beluga juveniles were investigated over 6 weeks. control diet lysine content was 2.1% of dry matter (4.4% of dietary protein). three experimental diets were prepared by adding lysine (0.5, 1 and 1.5%) to control diet to obtain diets containing 2.6, 3.1 and 3.6% of dry matter lysine (corresponding to 5.5, 6.6 and 7...

fenugreek (trigonella  foenum graecum), native to southern europe and asia, is an annual herb with white flowers and hard, yellowish brown and angular seeds, known from ancient times, for nutritional value beside of its medicinal effects. fenugreek seeds are rich source of gum, fiber, alkaloids, flavonoids, saponins and volatile content. due to its high content of fiber, fenugreek could be used...

An n-color odd self-inverse composition is an n-color self-inverse composition with odd parts. In this paper, we obtain generating functions, explicit formulas, and recurrence formulas for n-color odd self-inverse compositions.

The transition behavior and dynamics of ionic transport were strongly influenced by changes in the crystal structure and interaction field of the crystalline ionic gel electrolytes with respect to chemical compositions, as proven by impedance, (7)Li NMR, PCA and 2D IR COS.

The purpose of this paper is to give a concrete description of a strict totally coordinatized version of Kapranov and Voevodsky’s 2-category of finite dimensional 2-vector spaces. In particular, we give explicit formulas for the composition of 1-morphisms and the two compositions between 2-morphisms.

Let A be any set of positive integers and n ∈ N. A composition of n with parts in A is an ordered collection of one or more elements in A whose sum is n. We derive generating functions for the number of compositions of n with m parts in A that have r occurrences of 3-letter patterns formed by two (adjacent) instances of levels, rises and drops. We also derive asymptotics for the number of compo...

A cardinal related to compositions of Sierpiński-Zygmund functions will be considered. A combinatorial characterization of the cardinal is given and is used to answer some questions of K. Ciesielski and T. Natkaniec. It is shown that the bounding number of the continuum may be strictly smaller than continuum.