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And then, I can represent my vector in terms of its components along the coordinate axis.
And, so, we can express any vector in terms of its components.
We develop a new method for bounding the relative entropy of a random vector in terms of its Stein factors.
This theory is based on the representation of the displacement vector in terms of products of the given functions in the direction of the axes x1, x2 and the unknown functions over the axis x3.
In addition, beamlike stress strain relations are obtained which express an overall bending strain vector and an overall extensional-shear strain vector in terms of the net traction and moment at any section.
In the framework of the higher-order theory, the transformed elastic field is determined by a second-order expansion of the displacement vector in terms of local coordinates, in conjunction with the equilibrium equations and these boundary conditions.
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The orthonormality condition of the modal vectors in terms of the masters is introduced.
A symplectic system is established directly by introducing dual vectors in terms of the symplectic eigenfunctions.
Direct approach uses direct physical reasoning to establish the element properties (characteristic matrices and vectors) in terms of pertinent variables.
From it, we derive explicit characterizations of the sets of k-reachable marking vectors, in terms of polyhedral regions of a real vector space.
This paper studies the recovery of the height field function of an object from its surface normal vectors in terms of uniform bi-quadratic B-spline surfaces.
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