( n — h\ 11 m — h\ I-hi I \l-hj is the number of those elements of S (I, m, n) which contain h fixed elements of E. It is known that condition (1) is not sufficient for S(l, m, n) to exist. It has been proved that no finite projective geometry exists with 7 points on every line. This implies non-existence of 5(2, 7, 43). There arises a problem of finding a necessary and sufficient condition for...

A subset of GISTs lack mutations in the KIT/PDGFRA or RAS pathways and yet retain an intact succinate dehydrogensase (SDH) complex. We propose that these KIT/PDGFRA/SDH/RAS-P WT GIST tumors be designated as quadruple wild-type (WT) GIST. Further molecular and clinicophatological characterization of quadruple WT GIST will help to determine their prognosis as well as assist in the optimization of...

Quadruple perovskite oxides AA'3B4O12 demonstrate a rich variety of structural and electronic properties. A large number of constituent elements for A/A'/B-site cations can be introduced using the ultra-high-pressure synthesis method. Development of novel functional materials consisting of earth-abundant elements plays a crucial role in current materials science. In this paper, functional prope...

The connectivity of so-called “special” and “general” grain boundaries at a quadruple node is known to be nonrandom as a result of crystallographic constraints. Although a quadruple node is a three-dimensional feature, there exist two-dimensional features which are topologically identical. Therefore, the distribution of these twodimensional features may be used to determine the three-dimensiona...

Girls College of Education in Jeddah, Scientific Section, King Abdulaziz University, P. O. Box 32691, Jeddah 21438, Saudi Arabia hanaa−[email protected] Abstract In this paper, the exact form of the probability density function (pdf) and moments of single, double, triple and quadruple of lower record values from Exponentiated Pareto distribution (EPD) are derived. We establish several recurr...

The synthesis and characterization of molybdenum(II) porphyrin dimers containing unbridged metal-metal quadruple bonds are presented. Variable temperature 300 MHz (1)H NMR studies of meso-substituted derivatives provide novel solution evidence for both the existence of quadruple bonds and for a barrier to rotation about the metal-metal bonds in these complexes. The activation energy for this ro...

Let n be an integer. A set ofm positive integers is called a D(n)-m-tuple if the product of any two of them increased by n is a perfect square. In this paper, we consider extensions of some parametric families of D(16)-triples. We prove that if {k − 4,k + 4,4k,d}, for k ≥ 5, is a D(16)-quadruple, then d = k3 − 4k. Furthermore, if {k− 4,4k,9k− 12}, for k > 5, is a D(16)-quadruple, then d = 9k3− ...

If each phase has an identical crystal structure and small misfit in the lattice parameters in a binary-phase crystalline system, coherent phase boundaries usually form during separation. Although there have been numerous studies on the effect of coherency elastic energy, no attempt has been made to demonstrate how the phase-separation behaviour varies when multiple interfaces meet at a junctio...

Second trimester screening for Down's syndrome is widely practised throughout the world. We assessed the performance of antenatal serum screening for Down's syndrome with the quadruple test in 46193 pregnancies from 14 hospitals over 5 years. Women who screened positive (risk > or =1 in 300) were offered diagnostic amniocentesis or chorionic villus sampling. Of 88 observed Down's syndrome pregn...

Floating Point (FP) multiplication is widely used in large set of scientific and signal processing computation. Multiplication is one of the common arithmetic operations in these computations. Quadruple, double, and single precision floating point multipliers are implemented using conventional, Canonical Signed Digit (CSD), Vedic, and radix-4 Booth multiplier methods using Verilog language and ...