Since both normal and shear stresses are vectors, we encounter the mathematical problem of adding these vectors, and the question arises how to consider the obtained equivalent stress, because two perpendicular vectors are added with weighting factors. Therefore, in this work it is proposed to ...
Let [latin small letter f with hook](x) be a monic polynomial of degree n with complex coefficients, which factors as [latin small letter f with hook](x) = g (x)h(x), where g and h are monic. Let H(g) be the maximum of the absolute value of the coefficients of g. For 1 ...
When binomial factors have fractions either as coefficients or constants, the FOIL method will involve fraction multiplication. To find the product of two fractions, multiply their numerators to get the numerator of the product and multiply their denominators to get the denominator of the product. F...
Nuclear Systems Volume II: Elements of Thermal Hydraulic Design, Second Edition provides advanced coverage of a wide variety of thermal fluid systems and technologies in nuclear power plants, including discussions of the latest reactor designs and their thermal/fluid technologies. Beyond the thermal hydr...
Let ƒ(x) be a polynomial of degree n with complex coefficients, which factors as ƒ(x) = g(x)h(x). Let H (g) be the maximum of the absolute value of the coefficients of g . For 1 ≤ p ≤ ∞, let [ƒ]p denote the pth Bombieri ...
In the algebraic expression 2A2 - B + 4 , identify the variables, the numerical coefficients and the constants. ___ ___ ___ Variables Num erical Coefficients Constants 4. Let x = 4. Then -x = ___ and -1/x = ___. Which number is smaller: -x or -1/x ? ___ Show, roughly...
there is currently no explicit formula about the factors in front of each of these scalars. All we know is that their sum is (2p)!, and that the symmetries ensure that all factors can be divided by \(2^p\). For the rest, there is no formula. Yet there exist algorithms able to de...
It has been shown that in larger than four space-time dimensions, soft factors that relate the amplitudes with a soft photon or graviton to amplitudes without the soft particle also determine the low frequency radiative part of the electromagnetic and gravita- tional fields during classical scatteri...
sine seriesasymptotic behaviormonotone coefficientsNew estimates of the sums of sine series with monotone coefficients of special classes in terms of the Salem majorant are obtained. The asymptotic sharpness of the obtained estimates for sequences of......
However, in the case of low melting salts also known as ionic liquids, lattice energy is immaterial and differences in hydrophobicity largely account for differences in their water solubility. In this contribution, the activity coefficients of ionic liquids in water are split into cation and anion ...