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Denote by z j the poles and zeros of the functions a i (where j is in some index set), and let m j : = max 1 ≤ j ≤ n { l i ∈ N ∣ a i ( z j ) = ∞ l i or a i ( z j ) = 0 l i }. be the maximal order of zeros and poles of the functions a i at z j.
The direct product \textstyle{\prod_{i \in I} V_i} of a family of vector spaces Vi consists of the set of all tuples (, which specify for each index i in some index set I an element 'v'i of Vi. Addition and scalar multiplication is performed componentwise.
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Age and gender, yet not ADHD subtypes, appear to influence the MPH treatment effects in some indices of TOVA.
However, there were differences in some indices of TOVA at baseline between age groups (data not shown).
This was defined as a state characterized by some disturbances in psychological behaviors or physical characteristics, or in some indices of medical examination, with no typical pathologic features.
These indices have encompassed multiple risk factors for CRC including age, sex, body mass index (BMI), smoking, alcohol, dietary history (red meat consumption), physical activity and in some indices, distal colorectal findings.
Fourth, some non-routine parameters used in some indices for predicting fibrosis, including hyaluronic acid, α-2 macroglobulin, haptoglobin, apolipoprotein A1 and Golgi protein 73, were not available for use in this study.
The similarities and difference in some indices of family background, pre-contact social circumstances, and current and lifetime physical/psycho-social needs of the two categories of adolescents in the Homes were recorded.
27 There were some non-routine parameters used in some indices for predicting fibrosis, including hyaluronic acid, α-2 macroglobulin, haptoglobin, apolipoprotein A1 and Golgi protein 73; however, the use of these parameters in predictive models might hinder the widespread use of these indices.
Perhaps one could try to perform a formal mediation analysis, in which some index of the success of the running training (e.g., difference in mean speed or distance run in a given period of time at baseline and at the end of training) as predictor, some (compound) index of change in sleep quality as mediator, and some (compound) measure of EF improvement as criterion.
27 Zol was also effective in improving some indices of bone strength in PMO in the HORIZON-PFT, as measured by quantitative computed tomography scan.
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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