We generalize the integral formulae for foliations on space forms by Brito–Langevin–Rosenberg (1991) and by Brito–Naveira (2000). Our integral formulae concern foliations on complete Riemannian manifolds of a finite volume and involve the co-nullity operator, the mixed curvature operator, and...
The chapter presents a series of new Integral Formulae (IF) for a codimension-one foliation on a closed Riemannian manifold. The proof of IF is based on the Divergence Theorem. The IF start from the formula by Reeb, for foliations on space forms they generalize the classical ones by Asimov...
This area integral A1,2(t,t + h) = intt+h Abstract. This paper deals with the expectation of monomials with respect to the stochastic inttsdW1(r)dW2(s)- intt+h intstdW2(r)dW1(s) and the increments of t t two Wiener processes, Delta Wi(t,t + h) = Wi(t + h) -Wi(t),...
摘要: We consider the weighted quadrature formulae using some Euler type identities. The results are applied to obtain some error estimates for the Chebyshev–Gauss formulae of the first and the second kind.关键词: weighted quadrature formulae Chebyshev-Gauss formulae error estimate ...
embedding formulae for cones and the modified Smyshlyaev's formulae. Embedding formulae for cones represent the directivity of the scattered field as multiple integrals over spatial variables. Modified Smyshlyaev's formulae represent the same directivity as a single contour integral over parameter v...
Weighting function :A factor used in gauss quadrature, is multiplied by the value obtained at the sample points to obtain the integral value. White noise :White noise has a constant spectral density for all frequencies. Young's modulus :The material property that relates stress to strain for li...
Applying the formula ∫e^(ax)*cos(bx) = e^(ax)*[acos(bx)+bsin(bx)]/(a²+b²)= (1/2)*e^x*(cos2x+2sin2x)/(1+2²)(0 to π)= (1/10)*[e^π*(cos2π+2sin2π)-e^0*(cos0+2sin0)]= (e^π-1)/10So the integral is equal to:(e^π-1)/2 + (e^π-1)...
a) An opened field in the order summary.If discount codes are an integral part of the marketing strategy, then make this field prominent. The area between the order details and a final CTA is the best spot. b) A link in the order summary.The field opens when tapping on it. If a st...
=∫(e^x)/2+(cos2x)(e^x)/2 dx =∫(e^x)/2+∫(cos2x)(e^x)/2 dx =e^π-1+1\2∫(cos2x)(e^x) dx e^π-1=1\2∫(cos2x)(e^x)（cosx^2 ）（e^x）在[0，,π]定积分为2e^π-2 这是我胡做的，仅供参考 博君一笑O(∩_∩)O~ 总之我不碰数学题已经有...
An integral evaluation index system about online teaching is constructed in Section 4. Section 5 introduces a novel MADM model based on Fermatean fuzzy analytical hierarchy process (FF-AHP) and FF Dombi weighted PMM operator. A practical online teaching quality evaluation case of business statistics...