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Goldman has the lending capital part of the equation in hand, and has recognised that the online "platform" represents the most efficient method of distributing that capital to borrowers.
One avenue of success would be to already have one side of the equation in hand: either a vast number of consumer eyeballs or tens of thousands of existing merchant relationships.
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With these equations in hand, we could define isolation waveforms for any ensemble of ions.
With chromaticity χ in hand, Equation 5 gives RGB pixel values ρ for the interpolated luminance L, and (7) above also gives us the properties albedo α and surface normal n ̂ intrinsic to the surface.
With equations 6 and 7 in hand, the practical and analytical capabilities of LRE quantification can be tested.
To illustrate the method, suppose it is desired to find a particular solution of the equation y″ + p(x y′ + q(x y = g(x).To use this method, it is necessary first to know the general solution of the corresponding homogeneous equation i.e., the related equation in which the right-hand side is zero.
To verify (21), we first note that both sides of (21) are zero at t = 0. We next carry out a brief calculation to show that the right-hand side solves the differential equation in (6), which the left-hand side solves by definition.
The fundamental equations which govern the static problem in hand are solved numerically by means of the Generalized Differential Quadrature (GDQ) method.
Full three dimensional Reynolds-averaged Navier Stokes equations and the energy equation are solved using finite volume method for the conjugate heat transfer problem in hand.
With 441 returned questionnaires in hand, the collected data were analyzed using the partial least squares structural equation modeling technique.
In terms of structural equation models in particular, this means that one should be able to replace the right-hand side of an equation in the model with a particular value (i.e., set the left-hand variable to a value) without needing to change any of the other equations in the model.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com