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In particular, an individual SVM is introduced for every defined class e j to detect the corresponding instances and is trained under the 'one-against-all' approach.
Since generic functional group transformations are involved, reaction specification would involve functional group types and atom types, rather than corresponding instances.
(And as Aristotle noted, instances of 'No S is P' can be analyzed as the propositional negations of corresponding instances of 'Some S isn't P'. The first principle reflects the sense in which universal quantification is transitive.
If the condition is not satisfied, the sum may not exist, in which case the standard treatment of descriptive terms that we are assuming implies that the corresponding instances of the principles that follow are false.
The OntoSearch functionality (the implementation of which is described below) leverages these three logical relationships to find the concepts matching a given query and to retrieve the corresponding instances (reconstructions).
An image Segment, for example, can be associated to its corresponding instances of the DominantColor and NumberOfFaces descriptors, a video Segment can be associated to its MotionActivity descriptor and an audio Segment to its MelodyContour. Figure 2 shows a simplified version of the data model that evolved from an early version [26, 27].
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Among the relations presented, we have traditional relations, like hyponymy and the corresponding instance-of relation, which involves named entities.
The type of each overloaded name in an instance definition is obtained by substituting type class parameters with corresponding instance types.
We can notice from Figure13 that the energy consumption of the testbed is more flat than the corresponding instance curve of Figure12.
If an instance of the definiens is available as a premiss and its index is \ j\) then the corresponding instance of the definiendum may be inferred but must be assigned the index \(j + 1\).
And, conversely, if an instance of the definiendum with an index \(j + 1\) is available, then the corresponding instance of the definiens may be inferred but must be assigned the index \ j\).
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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