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We increase the number of the approximation functions to decrease the norm of the residuals and repeat the procedure until reasonable accuracy is obtained for the final solution.
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Therefore, the restriction T r decreases the norm while the wavelet transformation does not change it due to our restriction of using only transformations with the tightness property begin{array}rcl@ | f(m -f(m -f_{1}&leq& sqrt{mathcal{R}} | W left(m_{N+1,cdot}right)|_{2} end{array} (38).
It is concluded that deeply embedded structures may increase the energy dissipated by control devices for the case of considering SFSI effects than expected from the fixed-base model and decrease the H2 norm of the system transfer function than control of structures with surface supported foundations.
This result is applied to show that any pair of noncommuting unitary operators can be pertubed (in a weak sense) in a way which decreases the commutator norm.
For this reason, current social states can be far more fragile than is generally thought--as small shocks to publicly endorsed norms and roles decrease the cost of displaying deviant norms, and rapidly bring about large-scale changes in publicly displayed judgment and desires.
The causes of gender-based violence point to the need for multi-pronged approaches, including action at the community level to change cultural norms, decrease the acceptability of violence against women and girls, and improve the linkages between the health system and the legal system.
Furthermore, a study of experimental evolution in R. echinopus showed that when a change in environmental complexity caused a shift in the relative costs and benefits of expressing the fighter phenotype, the reaction norm evolved to decrease the probability of expressing the fighter phenotype in an unfavourable habitat (Tomkins et al. 2011).
The results illustrate that we can use threshold of values or decrease rate of the norm of residual to end AMP-CTLS loops.
The monotonic decreasing of the norm bound is established theoretically as well as demonstrated numerically with an example.
We suggest to change the initial vector to obtain a monotone decreasing of the norm of the outer residual that implies a reduction of the total number of inner iterations.
This study employed quadratic correlation to see if any changes in anterior insula GMV (i.e. either increases or decreases from the norm) resulted in worse clinical symptom severity and/or neurocognitive performance.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com