Aluminum(III) porphyrins are examined as potential fluoride selective ionophores in polymeric membrane type ionselective electrodes. Membranes formulated with Al(III) tetraphenyl (TPP) or octaethyl (OEP) porphyrins are shown to exhibit enhanced potentiometric selectivity for fluoride over more lipophilic anions, including perchlorate and thiocyanate. However, such membrane electrodes display un...

We prove that the terms of the derived series of a free solvable group are definable by existential formulae. We use this result to prove some ‘model theoretic’ results about free solvable groups. For example, we prove that if Hilbert’s 10th problem has a negative answer for the field of the rationals, then the universal theory of a noncyclic free solvable group of class > 3 is undecidable. @ 1...

In [He], Herstein conjectured that odd-order subgroups of division rings K were cyclic, and he proved this to be the case when K is the division ring of the real quaternions. Herstein’s conjecture was settled negatively in [Am]. As part of his complete classification of finite groups in division rings, Amitsur showed that the smallest noncyclic odd-order group that can be embedded in a division...

Endometrioma surgery should be planned and executed very carefully as it is associated with risks that may hamper future reproductive potential. Symptoms, age, risk of malignancy, bilaterality, ovarian reserve, and desire to have children should all be taken into account prior to surgical intervention. Cyclic and noncyclic severe pain may be an indicator or deep infiltrating diseases. Laparosco...

We present a survey of the theory measures noncompactness and discuss some fixed point theorems Darbo’s type. apply technique to characterization classes compact operators between certain sequence spaces, in solving infinite systems integral equations spaces. also recent results related existence best proximity points (pairs) for cyclic noncyclic condensing Banach spaces equipped with suitable ...

For distinct odd primes p and q, we define the Catalan curve C p,q by affine equation y q =x -1. In this article construct Sato–Tate groups of Jacobians in order to study limiting distributions coefficients their normalized L-polynomials. are nondegenerate simple with noncyclic Galois (of endomorphism fields over ℚ), thus making them interesting varieties context groups. We compute both statist...

Abstract In this article, a class of cyclic (noncyclic) operators are defined on Banach spaces via concept measure noncompactness using some abstract functions. The best proximity point (pair) results manifested for the said operators. obtained main applied to demonstrate existence optimum solutions system fractional differential equations involving <m:math xmlns:m="http://www.w3.org/1998/Math/...

New macrocyclic polyether-diester ligands (3-5) containing the 4H-pyran-4-one subcyclic unit have been prepared by treating various glycols with dimethyl chelidonate (10). In the reaction of compound 10 with ethylene glycol and diethylene glycol, two noncyclic diester and tetraester (6-9) were produced in each case. The new marcocyclic ligand 4 formed stable complexes with benzylammonium pe...

This paper deals with completion of partial latin squares L = (lij) of order n with k cyclically generated diagonals (li+t,j+t = lij + t if lij is not empty; with calculations modulo n). There is special emphasis on cyclic completion. Here, we present results for k = 2, . . . , 7 and odd n ≤ 21, and we describe the computational method used (hill-climbing). Noncyclic completion is investigated ...