Sentence examples for transformation to simplify from inspiring English sources

Furthermore, we introduce the Girsanov transformation to simplify our equation (1.1).

Here, we adopted CM projection on the support planar instead of using coordinates transformation to simplify the kinematic model.

What we have done here is to utilize the celebrated Girsanov transformation (i.e., the drift transformation) to simplify the drift coefficient, which then changes the originally given probability measure P to a family of equivalent probability measures ({Q_{varepsilon}}_{varepsilon>0}).

We use a correctness-preserving transformation to simplify the output computation: a global transformation of imprecision of inputs, vagueness of antecedent terms and smoothness requirements of outputs into a set of off-line convolution operations applied to the corresponding antecedent crisp partition.

The partial differential equation is reduced by modal analysis (and aided by a convenient transformation to simplify an inhomogeneous boundary condition at the plunger on the upstroke) to a set of piecewise linear (and hence non-linear) and uncoupled ordinary differential equations.

So the purpose of this transformation is to simplify the complex terminal condition ϕ(x ε (T)).

In the SALM problem, constraints or relative transformations between any two poses are generally separated into translations plus 3D rotations, which are then described in a homogeneous transformation matrix (HTM) to simplify computational operations.

Double Fourier transformation is used to simplify the geometric equation into an algebraic equation, thereby conveniently obtaining the analytical solution in the frequency domain for the dynamic response of the beam.

Because the purpose of z-transformation is often to simplify the solution of time domain problems, it is essential to inverse-transform z-domain functions.

The Laplace transformation is then used to simplify the integral-formed constitutive equation for viscoelastic material in the real time domain into a linear system equation in the Laplace domain so that all computations can be carried out in the Laplace domain.

Weka helpfully provides Java classes to simplify the transformation of data to a suitable form for analysis with same parameters as J48.