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Thus, a larger λ 1 is required to identify suitable coordinates.
For the comparison study of the two seemingly rather different two approaches to measuring surfaces in Section 3.2.4, we will consider again suitable coordinates.
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Newton demonstrated the importance of analytic methods in geometry, apart from their role in calculus, when he asserted that any cubic or, algebraic curve of degree three has one of four standard equations,xy2 + ey = ax3 + bx2 + cx + d,xy = ax3 + bx2 + cx + d,y2 = ax3 + bx2 + cx + d,y = ax3 + bx2 + cx + d, for suitable coordinate axes.
To solve this integral equation numerically, we have to define a suitable coordinate system.
Under a suitable coordinate transformation, the cylindrical KdV equation can be solved analytically.
By choosing a suitable coordinate transformation, the spacecraft dynamics can be divided into three second-order subsystems.
The relation between the generalized observer and the observer in state space form is given by a suitable coordinate transformation.
Then, we have chosen suitable coordinate system for describing Faddeev components of total 3N wave function as function of five independent variables for numerical calculations.
The governing equations are made dimensionless and suitable coordinate transformation is used to convert the irregular boundary to a well designed boundary.
Additionally, the paper employs the sliding-beam formulation as a third approach, which avoids the numerical difficulties caused by the large sliding motion through a suitable coordinate transformation.
The wavy surface is first transformed into a smooth surface via a suitable coordinate transformation and the transformed nonsimilar coupled nonlinear parabolic equations are solved using the Keller box method.
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