Let p : Y → X be a surjection between schemes projective over the algebraic closure of a finite field. Let L be a line bundle on X such that p∗(L) is globally generated. A natural necessary and sufficient condition is given under which some positive tensor power of L is globally generated. An application is a sufficient condition for semi-ampleness of nef line bundles on Mg,n in positive charac...

In the current paper, consider the fuzzy normed linear space $(X,N)$ which is defined by Bag and Samanta. First, we construct a new fuzzy topology on this space and show that these spaces are Hausdorff locally convex fuzzy topological vector space. Some necessary and sufficient conditions are established to illustrate that the presented fuzzy topology is equivalent to two previously studied fuz...

Although the process of establishing a memory of a location is necessary for navigation, relatively little is known about the information that humans use when forming place memories. We examined the relative importance of distance and angular information about landmarks in place learning. Participants repeatedly learned a target location in relation to three distinct landmarks in an immersive c...

This article studies the influence of product groupings on consumer preferences. Specifically, it is proposed that when each product in two groups has an equal chance of a gain, consumers prefer to choose from a group that appears more contagious (e.g., products arranged close together, similarly, or symmetrically). However, when each product in two groups has an equal chance of a loss, consume...

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This study investigated the factors influencing trust in travel-related CGM and, in turn, the degree to which trust affects the benefits and impacts of using CGM in the course of planning pleasure trips. An online survey of US Internet users was conducted with a total of 1170 individuals responding to questions regarding their perceptions and use of CGM for travel planning. The findings show th...