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By designing a sequential detection scheme starting from the most squared unfolded matrix, the identifiable rank is increased to the square root of the product of all dimension lengths, which renders the detection algorithm to estimate the rank that can exceed any individual dimension length.
Let (mathbb{C}) ((mathbb{R})) be the set of all complex (real) numbers, (mathbb{R}_) ((mathbb{R}_)) be the set of all nonnegative (positive) numbers, (mathbb{C}^{n}) ((mathbb{R}^{n})) be the set of all dimension n complex (real) vectors, and (mathbb {R}_^{n}) ((mathbb{R}_^{n})) be the set of all dimension n nonnegative (positive) vectors.
For FTCQ-12 we analysed the sum of all dimension scores (range 12-84) and for the Minnesota nicotine withdrawal scale the sum of all items (range 0-32).
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Ceiling effects appear on all dimension of the EQ-5D-3L.
In Italy and India, this was attributed to low esteem and stigma and impact of epilepsy on all dimensions of life.
Of all the dimensions of the interview relationship, the most significant, for me, has been time.
Test-retest reliability showed intraclass correlation coefficients of all the dimensions exceeding 0.70.
The mean ask price frontier that we eventually employ takes account of all these dimensions of the problem.
Also the definitions of all the dimensions were slightly adjusted.
The Overall Job Index (OJI) is defined as the sum of all these dimensions.
Today architectural space becomes "the space of all dimensions".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com