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A proof of the incompatibility of AC with extensional set theories based on intuitionistic logic seems to have first appeared in (Diaconescu 1975) in a categorical context.
We should also point out that a groupoid has a very simple definition in a categorical context: it is a category in which every morphism is an isomorphism, that is for any morphism f : X → Y, there is a morphism g : Y → X such that f ○ g = idX and g ○ f = idY.
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Using a distance to highway categorical variable in the context of a highway proximity study, both street network geocoding datasets had more errors than parcel geocoding, with fewer confirmed matches and higher percent false positives and false negatives in all distance groupings (Table 2).
See Flora and Curran (2004) and Millsap and Yun-Tein (2004) for a more detailed description on ordered-categorical measures in this context.
The present study broadens the usage of kappa to studies of reliability and of associations between different categorical ratings in spatial contexts.
In this paper we broaden the usage of two association measures, the well-known kappa statistic and the novel colocation quotient (CLQ), to studies of inter-rater reliability and of associations between different categorical ratings in spatial contexts.
Three studies aimed to validate the use of a new categorical rating scale in the context of estimated and real eating episodes.
Only in the context of a categorical rejection of any foundationalism of intrinsic reality both conventionally and ultimate, Candrakīrti insists, can there be mundane practices rooted in the mutually interdependent character of cognitive processes and objects cognised.
Experiment 2 examined whether categorical perception occurs in the context of a dimensional strategy when rating facial expressions in terms of arousal as well as valence.
Therefore, in the context of the categorical model of choice, we will return at the parent's request data on affected status for treatable and untreatable disease where we have definitive pathogenic mutations.
In the context of a categorical transformation in m k classes, the score test testing ℋ 0 : " β k = 0 m k − 1 " (with β k ∈ ℝ m k − 1 ) follows asymptotically a χ distribution with m k −1 degrees of freedom and is defined as: T k = U k T I k − 1 U k ; where U k and I k are respectively the score function and the Fisher information matrix under the null hypothesis [ 19].
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Justyna Jupowicz-Kozak
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