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Let (Z_{2}) be a closed complementary subspace to (Y_{1}), that is, (Y=Y_{1}oplus Z_{2}) (we assume that such a closed complement exists), and let (P_{Z_{2}}:Yrightarrow Z_{2}) be the projection operator onto (Z_{2}) along (Y_{1}).
Let Z 2 be a closed complementary subspace to Y 1, that is, Y = Y 1 ⊕ Z 2 (we assume that such a closed complement exists), and let P Z 2 : Y → Z 2 be a projection operator onto Z 2 along Y 1.
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A validated Infant Feeding Form is used and is a closed ended questionnaire with information about breastfeeding, other feeds and complementary feeds taken during last 7 days [ 33].
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This is a closed case".
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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