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And so, consequently, applying the Laplace transform to this equation leads us to this algebraic equation, and following that through, leads us to the statement that the Laplace transform of the output is one over s plus a times the Laplace transform of the input.
However, the single application of this equation leads to the singularities over the final system of algebraic equations, when cracked bodies are considered.
The inverse Laplace transform of this equation leads to: (27) Similarly, (28) (29) We find that (30) When b = 0, the sum of the P-wave and S-wave energy is conserved, which means that our formulation is self-consistent.
This equation leads to two different interpretations of the PARALIND model, as a constrained Tucker model whose core tensor admits a PARAFAC decomposition with factor matrices Φ(n), called 'interaction matrices,' and as a constrained PARAFAC model with constrained factor matrices A ̄ ( n ) = A ( n ) Φ ( n ).
This equation leads to another question: how can Israel put across the message that it wants peace to a public like Palestinian society, whose government-sponsored media are controlled by a pro-terror organization like Hamas.
Dobson and co-workers have suggested that the RS of a folded protein is given by: RS = (4.75±1.11) Nu 0.29 [49], where Nu is the number of residues; this equation leads to the theoretical RS values shown in Table 1.
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If we as parents can find the balance between mind, body, spirit or thinking, feeling and intuition then the equation leads us to a more balanced way of parenting.
This simplified equation leads to the prediction of large scale space and time evolution of the energy quantities averaged over time, frequency and space.
This last equation leads to 1 μ = w z, d H w z, d w z, d H X H Y Y H Y − 1 Y H − I X w z, d (72).
This last equation leads into the quantification of the segment strength, which for two points e i and e j can be expressed as: ss(e_{i}, e_{j}) = H_{i leftrightarrow j}/sqrt{(x_{i}-x_{j})^{2}+ y_{i}-y_{j})^{2}+ y_{i}-y_{j}
Here, the variable of R at the equation led to improvement of the tSNR, when implemented with modified VFA described in (1).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com