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The major interest of this approach is that it will allow us to solve the initial non-convex problem using a very efficient algorithm based on convex optimization techniques.
The use of such a representation of the area restrictions allow us to solve several challenging test problems to optimality with a guarantee that the final area of each department is within an ε% error of the required area.
"But Germany must realize that it is growth that will allow us to solve a big part of our problems," he said.
"We're building tools that will allow us to solve structures at a historically unprecedented rate," said Dr. Nathaniel E. David, director of business development at Syrrx, a new structural genomics company based here in San Diego.
This will allow us to solve successfully various angular momentum problems in atomic physics.
"Now," says Rodriguez, "much faster computers allow us to solve the Schrödinger equation for many valence electrons.
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Knowledge, or know-how, draws from our experience and allows us to solve problems using a combination of information and contextual understanding.
The form of the scattering operator (11) allows us to solve the focused transport equation using a Legendre polynomial expansion of the distribution function f.
The choice of the closure expression, Equation (10.21), relating the cross-direct-correlation integral to the other two integrals in a binary mixture allows us to solve these equations simply and analytically using only the pure-fluid thermodynamic data.
Note that using the restrinctions on (mathbf {A}) and (mathbf {B}) allows us to solve the whole matrix (mathbf {M}) and we find (mathbf {M = I}).
This formalism allows us to solve for discretized atomic shape function(s) (mathbf {s}_j) using the set of linear equations given by begin{aligned} mathbf {A} begin{bmatrix} A_0 s_1 vdots s_J end{bmatrix} = psi (x,y), end{aligned} (2 which can be solved using typical regression methods.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com