Polymer-clay nano-composite materials, in which nano-meter thick layers of clay dispersed in polymer matrix, have generally higher mechanical properties than normal polymeric materials. A new three-dimensional unit cell model has been developed for modeling three constituent phases including inclusion, interphase and matrix. The total elastic modulus of nano-composite is evaluated.  Numerical r...

In 1811, Legendre published an identity between integrals involving the constant k:= sin ⁡π12 that inspired Abel to create his brilliant theory of complex multiplication. Then k reappeared as eccentricity ellipse whose arclength Ramanujan computed explicitly in terms gamma functions with rational arguments. Finally, appeared a consequence three-body choreography along Bernoulli’s lemniscate. We...

the most important quality indicator of fruits is the flesh firmness which is well correlated to their young’s modulus. in this research variation of vibration characteristics (shape modes, natural frequency) of apple due to change of material characteristics (density, young's models, poisson ratio) and apple volume was investigated using finite element simulation. an image processing technique...

We document the inßuence of local unemployment, political orientation and socio-economic background on individual citizen’s government support. From the point of view of the responsibility hypothesis, the inßuence of the local unemployment on the respondent’s government approval likelihood is somewhat confusing. During the right government the high local unemployment does not decrease responden...

Staffing the nation’s schools with well-qualified teachers has long been a prominent issue in elementary and secondary education (Wayne and Youngs 2003). Mathematics and science teachers are of particular interest because mathematics and science are core subjects in both elementary and secondary public schools. These subjects continue to attract attention as the need for individuals entering th...

R. J. Charity,1 J. M. Elson,1 J. Manfredi,2 R. Shane,2 L. G. Sobotka,1,2 Z. Chajecki,3 D. Coupland,3 H. Iwasaki,3 M. Kilburn,3 Jenny Lee,3 W. G. Lynch,3 A. Sanetullaev,3 M. B. Tsang,3 J. Winkelbauer,3 M. Youngs,3 S. T. Marley,4 D. V. Shetty,4 A. H. Wuosmaa,4 T. K. Ghosh,5 and M. E. Howard6 1Department of Chemistry, Washington University, St. Louis, Missouri 63130, USA 2Department of Physics, Wa...

Expanding need about finding a diabetic retinopathy Similarly as soonest might stop dream misfortune to the prolonged diabetes tolerant In spite of endured youngs. Seriousness of the diabetic retinopathy illness may be measured In light of microaneurysms, exudates detections and it evaluations Similarly as Non-proliferative(NPDR) alternately Proliferative diabetic retinopathy patient(PDR). An r...

A directed graph has a natural Z-module homomorphism from the underlying graph’s cycle space to Z where the image of an oriented cycle is the number of forward edges minus the number of backward edges. Such a homomorphism preserves the parity of the length of a cycle and the image of a cycle is bounded by the length of that cycle. Pretzel and Youngs [1] showed that any Z-module homomorphism of ...

In this study the developed procedure of Advection in Volume of Fluid (VOF) method for free surface modeling is presented. Two-step projection method is implemented for solution of RANSE equations discretized by finite difference method on the staggered and Cartesian grids. Applying Youngs’ algorithm in staggered grids, assuming that fluid particles in the cell have the same velocity of the cel...