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We present an exact and efficient algorithm for computing a proper parametric representation of the intersection of two quadrics in three-dimensional real space given by implicit equations with rational coefficients.
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The implicit equations are solved with a highly efficient iterative solution scheme.
The compliance of a pivot is typically predicted by analytical expressions derived from implicit equations for the pivot's profile.
The emerging implicit equations are solved by using a fixed-point iteration scheme.
The dynamical models under consideration are described by implicit differential equations in the presence of additive bounded uncertainties.
The free variable c(0), the monomeric actin concentration at x = 0, can then be determined by solving the implicit Equation (21).
The anti-war poem published by Günter Grass is a subtle but straightforward example of a tendency in Germany that the historian Dan Diner has called "exonerating projection": the relativisation of the Holocaust through the implicit equation of Israel with Nazi Germany.
This means that, the SRL is obtained by solving the following implicit equation.
Thus for a fixed couple (Pfa, Pd), the solution of the implicit equation given by (15) always exists.
Summarizing, all solutions p of the stationary problem (3.1), with the above referred regularity, are of the form given by the expression (3.2), where N is any positive solution of the implicit equation (3.3).
Advance electromagnetic fields from t to t + Δt by solving the Maxwell equations with the implicit FDTD method.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com