linearly independent
An Efficient Method for Automatic Generation of Linearly Independent Paths in White-box Testing
... However, automatic and highly efficient generation of linearly independent paths from source codes in basis path testing is still lack. To solve the problem, this paper proposes a new and efficient method ...
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Application of Eigenvalues and Eigenvectors to Systems of First Order Differential Equations
... All we could come up with here is two eigenvectors. As a matter of fact, they are linearly independent since one is not a multiple of the other. But, they aren’t enough and there is no way to find a third ...
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Isotropic Tensors Under Non-compact Rotation Groups
... It is interesting to note that these are identical with equations (6) obtained earlier. Applying now the same arguments as were used after equation (6), we conclude that out of the 15 isotropic tensors of the form • ) , ...
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Comparative Balancing of Non Redox and Redox Electrolytic Systems and Its Consequences
... From a mathematical viewpoint, the GEB formulated for any (static or dynamic) redox system is the equation linearly independent on charge and concentration bal- ances. The GEB is fully compatible with these ...
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A note on persistency of excitation
... has linearly independent rows from the matrix formed from an input sequence and a finite number ofits shifts is ofcentral importance in subspace system ...
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On The Lattice of Subgroups Of 3x3 Matrices over Z2
... be linearly independent from the first, which is too say that it must not be a multiple of the ...be linearly independent from the first i-1 rows, which means that it cannot be a linear ...
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Simulations Relating to the Determination of Protein Secondary Structure Fractions from Circular Dichroism Spectra
... a linearly independent (LID) set of basis functions [6], shown in Figure 4, were chosen to construct the virtual protein CD spectra database using the secondary struc- ture fractions of Table ...
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Row reduction and Gaussian elimination
... Our method for nding a basis for the image of a matrix leads us to a di¤erent proof of the rank theorem. The column rank of a matrix is simply the dimension of the image, in other words, the maximal number of ...
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Three dimensional solutions of the magnetohydrostatic equations for rigidly rotating magnetospheres in cylindrical coordinates
... superpose linearly independent solutions to construct a new solution and, hence, could superpose one of our new solutions with a known axisymmetric solution of Laplace’s equation, such as that of a magnetic ...
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Independence of the Residual Quadratic Sums in the Dispersion Equation with Noncentral χ2 Distribution
... . For the vector space generated by columns A , we will choose basis from vectors i . As columns A 1 A 2 are equal to the sums of corre- r sponding columns A 1 and A 2 , then they are linear combinations r 1 r 2 of ...
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Eigenvectors of Permutation Matrices
... The spectral properties of special matrices have been widely studied, because of their applications. We focus on permutation matrices over a finite field and, more concretely, we compute the mi- nimal annihilating ...
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On the Concrete Security of Goldreichs Pseudorandom Generator
... The attacks and their variants described in this section and the precedent one ask many open questions. For the polynomial time algorithm using the number of linearly independent annihilators, we do not ...
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Energy quantisation and time parameterisation
... On the other hand, whereas this function at finite distance is a local homeomorphism, it is not the case when considering the entire real axis. This can also be seen by considering a free particle in an infinitely deep ...
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Hadamard Matrices, $d$-Linearly Independent Sets and Correlation-Immune Boolean Functions with Minimum Hamming Weights
... In this paper, we prove that the minimum Hamming weight of 3-CI n-variable Boolean functions is lower bounded by 8d n 4 e, and then present a method to construct minimum-weight 2-CI functions through Hadamard matrices, ...
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SOLUTIONS TO EXERCISES FOR MATHEMATICS 133 — Part 1
... are linearly independent, then the 2 × 2 matrix whose rows are these vectors will have a nonzero determinant, and hence the system of equations a · x = b, p · x = q has a solution by Cramer’s ...
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On Linearly S-Quasi-Armendariz Rings
... and linearly S -Armendariz rings are linearly S -quasi- ...exist linearly S -quasi-Armendariz rings which are not linearly S -Armendariz ...a linearly S -quasi-Armendariz ring R is ...
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Rigidity of linearly constrained frameworks
... Theorem 1.4 completes the characterisation of infinitesimal rigidity of generic plane- constrained frameworks i.e. frameworks in which each vertex is constrained to lie on a given plane in R d . In this context it is ...
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Linearly Homomorphic Encryption from DDH
... Related Work. The story of homomorphic encryption begins with the first probabilis- tic encryption scheme, which was also homomorphic, by Goldwasser and Micali from [GM84], improved by Benaloh in his thesis [Ben88], then ...
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<p>A Linear Relationship Between a Body Shape Index and Risk of Incident Type 2 Diabetes: A Secondary Analysis Based on a Retrospective Cohort Study in Japan</p>
... different subgroups. Besides, we found that the HR for incident type 2 diabetes was higher in the participants who are female, which was consistent with the results of Qatar Biobank study and ARIC study. 22,24 In this ...
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Augmented Transition Network Based Morphological Tagger
... Another useful preprocessing strategy in ICA is to first whiten the observed variables. This means that before the application of the ICA algorithm (and after centering), we transform the observed vector linearly ...
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