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THE CASIMIR NUMBER AND THE DETERMINANT OF A FUSION CATEGORY
Glasgow Mathematical Journal, 2020AbstractLet$\mathcal{C}$be a fusion category over an algebraically closed field$\mathbb{k}$of arbitrary characteristic. Two numerical invariants of$\mathcal{C}$, that is, the Casimir number and the determinant of$\mathcal{C}$are considered in this paper. These two numbers are both positive integers and admit the property that the Grothendieck algebra$(\
Wang, Zhihua, Liu, Gongxiang, Li, Libin
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Categories of Large Numbers in Line Estimation
Cognitive Science, 2016AbstractHow do people stretch their understanding of magnitude from the experiential range to the very large quantities and ranges important in science, geopolitics, and mathematics? This paper empirically evaluates how and whether people make use of numerical categories when estimating relative magnitudes of numbers across many orders of magnitude. We
David Landy +2 more
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On the number of categories for classification
Information Storage and Retrieval, 1969It is shown that under certain restrictions, n items should be classified into √n categories if the amount of information (in the Shannon sense) needed to retrieve them is to be a minimum.
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Monoidal categories with natural numbers object
Studia Logica, 1989The authors begin by defining the concept of a left natural number object (LNNO) in a monoidal category. If it exists it is unique up to isomorphism. A right natural number object (RNNO) is defined in a similar way. If both exist then they are isomorphic. The authors also gives an example of an LNNO which is not RNNO.
Robert Paré, Leopoldo Román
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Optimum number of Response categories
Current Psychology, 2021Through linear transformations of raw item scores, the paper converts 3-ponit, 4-point, 5-point and 7-point items to continuous, monotonic, normally distributed scores ranging between 1 to 5. This provides a platform for meaningful comparisons of scales with different number of response categories with respect to parameters like reliability, validity ...
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About numbers as a semantic category
Behavioral and Brain Sciences, 2001Humphreys & Forde concentrate on the living/nonliving dissociation. However, further dissociations have been reported, including selective loss or preservation in recognizing body parts and numbers. This commentary outlines the relevance of the number category for understanding the organising principles of semantic memory.
Marc Thioux +3 more
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Optimizing the number of search result categories
CHI '05 Extended Abstracts on Human Factors in Computing Systems, 2005Automatically generated web search result categories were found to be beneficial in our previous study. In that study, we used 15 result categories and left the optimal number of categories issue deliberately untouched. To address this matter, we conducted a new experiment with 27 participants to compare search user interfaces with 10, 20, and 40 ...
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Memory of Ordinal Number Categories in Macaque Monkeys
Journal of Cognitive Neuroscience, 2006AbstractWhat mechanism underlies serial order memory? Studying preverbal serial memory shows that macaque monkeys reproducing a sequence of items can acquire knowledge of item ordinal position. In our previous experiment, macaques were repeatedly presented with image lists (first shown sequentially and then simultaneously on a touch screen together ...
T. ORLOV +4 more
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Quantum Theory and the Category of Complex Numbers
International Journal of Theoretical Physics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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