Some new mechanical quadratures

determination of some physical and mechanical properties red bean

چکیده: در این تحقیق، برخی خواص فیزیکی و مکانیکی لوبیا قرمز به-صورت تابعی از محتوی رطوبت بررسی شد. نتایج نشان داد که رطوبت بر خواص فیزیکی لوبیا قرمز شامل طول، عرض، ضخامت، قطر متوسط هندسی، قطر متوسط حسابی، سطح تصویر شده، حجم، چگالی توده، تخلخل، وزن هزار دانه و زاویه ی استقرار استاتیکی در سطح احتمال 1 درصد اثر معنی داری دارد. به طوری که با افزایش رطوبت از 54/7 به 12 درصد بر پایه خشک طول، عرض، ضخام...

Quadratures Involving Polynomialsand Daubechies '

Scaling equations are used to derive formulae of quadratures involving polynomials and scaling/wavelet functions with compact supports; in particular, those discovered by Daubechies. It turns out that with a few parameters, which are theoretically exact, these quadratures can be evaluated with algebraic formulae instead of numerical approximations. Those parameters can be obtained with high pre...

Adaptive Quadratures over Surfaces

Recently, the first author introduced a new approach for the numerical quadrature of surface integrals in the context of boundary element methods. The handling of singularities is an essential feature. It is assumed that a global parametrization P of the surface is given as a subroutine and that P is not accessible analytically. Of particular interest are parametrizations which are based on aut...

On Chebyshev-Type Quadratures

According to a result of S. N. Bernstein, «-point Chebyshev quadrature formulas, with all nodes real, do not exist when n = 8 or n ä 10. Modifications of such quadrature formulas have recently been suggested by R. E. Barnhill, J. E. Dennis, Jr. and G. M. Nielson, and by D. Kahaner. We establish here certain empirical observations made by these authors, notably the presence of multiple nodes. We...

On Simple Quadratures