The phrase "alternative of equation" is not correct in standard written English.
You can use it when discussing different forms or representations of an equation, but it would be better to use a more appropriate expression.
Example: "The alternative of equation presented in the paper offers a new perspective on the problem."
Alternatives: "alternative to the equation" or "variation of the equation".
The last example can indeed be generalized and used as an alternative demonstration of equation (21), as any function can be seen as a superposition of Dirac's deltas: p 0 (y ) = ∫ ℝ p 0 (u ) δ (u − y ) d u.
We estimated two alternatives to equation (1) to gauge the robustness of our findings.
The alternative osmotic equation of state, combined with the generalized Flory theory, predicts the conformal solution mixing rule when the monomer and chain segments are of the same diameter.
Further, alternatives to the test statistic of Equation 1 can easily be devised, For example, for any non-leaf node n we can introduce: 3 where c1(n), c2(n) are the two children of n.
For a full kinetics scheme we consider the speed of a range of alternative ordinary differential equation solvers.
Procedures for estimating missing climatic data are outlined in Chapter 3. Differences between ETo values obtained with the FAO Penman-Monteith equation with, on the one hand, a limited data set and, on the other hand, a full data set, are expected to be smaller than or of similar magnitude to the differences resulting from the use of an alternative ETo equation.
By this reason, instead of Equation 5, the alternative form is Vee[ρ0 r1)] ≈ J[ρ0] + correction, and, for example, the correction can be via Equation 5 [6] or else [2, 22].
Rolling Stone dismissed it as "speed twang," but others thought it proved there was still uncharted territory to mine from the alternative half of the alternative country equation.
In addition, the ACI 318 code (ACI 2014) provides an alternative equation of 50 strand diameters (50d b ) for the transfer length, which is effectively used when the parameter f se is unknown, while the AASHTO LRFD code (AASHTO 2012) proposes the transfer length of 60 strand diameters (60d b ).
The linearity coefficient of the alternative equation are not changed by Gaussian selection.
