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By applying Lemma 4.3 we obviously obtain (4.28).
For full filter update, i.e., (underline {alpha } ell) = underline {1}), we obviously obtain ξ=1.
At least some of the psychological relations making up connectedness and continuity can obviously obtain interpersonally, e.g., sameness of beliefs/desires/goals, and resemblance of character.
Then we obviously obtain the inequality biglVert L t bigrVert le Vert DVert + biglVert Y(T bigrVert ^{2}Vert DVert + biglVert Y(T bigrVert ^{4}Vert DVert + cdots.
Since the Khalimsky nD topological space is a box product of the Khalimsky line space (({mathbf{Z}}, kappa)), we obviously obtain the following: (1) Put ({mathbf{Z}}^{n} times{i}:={mathbf {Z}}_{i}^{n}), (i in{mathbf{Z}}).
Hence: if we derive sufficient conditions for the two Hardy-type inequalities ∫ a b ∫ a x G 1 ( x, t ) g ( t ) d t q u ( x ) d x 1 q ≤ C 1 ∫ a b g ( x ) p v ( x ) d x 1 p, (3.1) ∫ a b ∫ x b G 2 ( x, t ) g ( t ) d t q u ( x ) d x 1 q ≤ C 2 ∫ a b g ( x ) p v ( x ) d x 1 p, (3.2). we obviously obtain also sufficient conditions for the inequality (1.6) to hold.
Similar(54)
Obviously obtaining power requires more than just obtaining an a top tier degree.
At times in its history, its government officials have happily, for the right price, pronounced "legal" woods obviously obtained illegally from its national parks.
The collective depth values are obviously obtained from the values of individual point-to-point depths.
Here, ( {X}_i^r ) and ( {D}_i^s ) are obviously obtained from the divided IOT.
(6) Here, ( {X}_i^r ) and ( {D}_i^s ) are obviously obtained from the divided IOT. .
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com