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The latter representation is defined as follows.
If operator L ( F m ) is operated at vector F, corresponding representation is defined as Equation (15).
A Context Representation is defined in JHPeer to store, share, transmit and manipulate various context data in the peer network.
Thus the objective function of the low-rank representation is defined as follows: min_{Z,E} left| Z right|_ + gamma left| E right|_{1} (2).
The corresponding ambiguity function in the discrete-time representation is defined as χ [ p ] ( n ) = ∑ m = 0 M - 1 s [p] ( n ) ( t m + τ ) s [p] ( n ) ( t m - τ ) ∗ exp ( - j 2 π θ t m ).
Then, a parametric representation is defined to get the curved surface equation of each cubic grid, and the calculated average curvature of each curved surface is used as the dynamic threshold to decide whether other data points can be the sample.
Similar(54)
Parliamentary representation was defined as all positions in public administration, international and social organizations.
Folder representation was defined, and a similarity measure was constructed so that traditional information retrieval techniques could be employed.
Over-representation is defined by p < 0.05.
These representations are defined by certain positive definite functions (called temperature states) on the universal central extension of the loop group.
Whether abstract letter representations are defined on the basis of sound is difficult to test in English, because of the rather complicated relation between sound and orthography.
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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