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The resulting protocol consists of a linear protocol and a nonlinear control term with adaptive update law at each node.
The flow conservation law at each node is then: {displaystyle sum {r}_{ij}}-{displaystyle sum {r}_{ki}={R}_i} (4).
Fish swimming behavior in relation to flow field variables was assessed by solving Newton's Second Law at each individual measured fish location.
The method eliminates smoothing by constructing a singular quadrature rule for the Biot Savart law at each time step, using quadtrees and orthogonal polynomials.
In particular, we identify the finite-element continuity equations that must be satisfied by the discrete current sources for several classes of time-domain Vlasov Maxwell simulations to preserve the Gauss law at each time step, and propose a generic algorithm for computing such consistent sources.
At each time step, the calculations performed in DEM alternate between integrating equations of motion for each particle, and applying the force displacement law at each contact, through which the contact forces are updated based on the relative motions between two particles and their relevant contact stiffness.
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Reduction in growth rate under nutrient limitation follows Monod's law, evaluated at each moment with the instantaneous level of substrate.
It requires phone and Internet service companies to retain "traffic data" -- information on their customers' phone calls, e-mail messages and Internet connections -- long after it would be discarded under current law, at the end of each billing cycle of one or two months.
Similarly, a free-choice sequence, like a recipe for "endless bisection" or "endless dicing," is not an infinitely complicated mathematical law (or rule), but rather no law at all, for after each individual throw of a coin, the point remains "infinitely indeterminate" (PR §186).
Those reports are available by law at annualcreditreport.com, where individuals can get free reports each year.
(A11)- (A12), for each matrix entry was performed by applying the modified Beer-Lambert Law at the two wavelengths [ 45].
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