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where a vector of ones of length.
Suppose there are vectors of position in a 3D geometry represented by, where a vector specifies the coordinates in for.
where a vector G = [ g 0, …, g N ] T is known and C = [ c 0, …, c N ] T is an unknown vector.
If is an all-zero vector, then output the corresponding message vector determined as, where a vector is the last -tuple of.
In fact, many construction methods of subvarieties X of small codimension involve a realization of X as the locus where a vector bundle map drops rank to an integer r, and X becomes singular if there are points of X in the locus (Sigma ) where the rank drops further down to ((r-1)).
For example, isosceles orthogonality introduced by James in [4], the one we study in this paper, is not homogeneous, where a vector x in X is said to be isosceles orthogonal to a vector y in X if the equality ||x + y|| = ||x - y|| holds (we write x ⊥ I y for this situation).
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Vector-borne diseases are already responsible for considerable losses in economic productivity every year, primarily in those regions where a vector-borne disease is endemic such as malaria in Africa.
(where A(r) is the magnetic vector potential at point r of space).
where is a vector of all ones.
where is a vector storing unitary values.
where is a vector consisting of AWGN samples with power.
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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