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In the case that there are no invalid elements, estimation of α can be accomplished by solving a MMV problem based on l 1-norm minimization: begin{array}rcl@ minlimits_{boldsymbol{tilde{X}}} {left| {{{boldsymbol{tilde{x}}}^{{l_{2}}}}} right|_{1}},s.t.left| {boldsymbol{Y} - {{boldsymbol{tilde{A}}}^{L}}boldsymbol{tilde{X}}} right|_{F}^{2}< {sigma_{1}^{2}}, end{array} (16).
In the honest expression of our grief, there are no invalid emotional responses.
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Back in 1980, when Moscow hosted the Summer Olympic Games, the Soviet Union refused to also host the Paralympics, saying, "There are no invalids in the USSR!" according to Disability Studies Quarterly.
There were no invalid trials; that is, all participants responded to all stimuli.
There were no invalid cueing conditions in the task.
There were no invalid responses.
There was no invalid test result among all 430 samples.
Valid responses were obtained from 185 respondents in Group ML and 160 in Group BC; there were no invalid responses.
The two readers gave the same interpretations, and there were no invalid tests, no false positive test results, or any obvious damage to the RDT strips.
However, heat stability, vital to maintaining the sensitivity of this test in the field, is a concern [ 41, 42], although there were no invalid tests.
This was no feeble invalid.
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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