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Hence the null vector field ξ is normal to M, thus M is a null hypersurface.
The unique null vector of this new matrix gives the estimate of the unknown vector.
In particular this rigging fixes a unique null vector field (xiinGamma(TM^{bot})) called the rigged vector field.
Thus it is not possible in the numerical time integration approach to find time instant when restoring force vector becomes a null vector.
Therefore, we alternatively compute ∥B i,:∥1,1≤i≤n to judge whether X i,: is a null vector or not in sense of probability.
For any (p neq0) with (N(p) = 0), p is a null vector, and when the modulus is non-zero, then p has a multiplicative inverse.
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The methods all use the null space and associated null vectors of the structural stiffness matrix.
The Euclidean points are represented by null vectors in the representational model.
Null geodesics remain unchanged under conformal transformation, and also null vectors and all forms of conformally invariant matter.
where wl and wr denote the left and right null vectors of the Jacobian J. Without loss of generality, we assume that the (j × j) sub-matrix D m h of the Jacobian J has full rank j.
The stochastic shielding approximation for a system of the form given in Eq. 4 amounts to preserving the mean, but neglecting the fluctuations, for the processes driving a subset of the reactions, i.e. replacing B with an alternative matrix B ˜ obtained by replacing a subset of columns in B with null vectors.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com