Local moves of the Stein factorization of the product map of two functions on a 3-manifold

We give some local moves of the Stein factorization of the product map of two Morse functions on a closed orientable smooth [Formula: see text]-manifold which can be realized by isotopies of the functions.

The Chow Ring of a Cubic Hypersurface

We study the product structure on the Chow ring (with rational coefficients) of a cubic hypersurface in projective space and prove that the image of the product map is as small as possible.

Reduced norms of division algebras over complete discrete valuation fields of local-global type

Let [Formula: see text] be a complete discrete valuation field whose residue field [Formula: see text] is a global field of positive characteristic [Formula: see text]. Let [Formula: see text] be a central division [Formula: see text]-algebra of [Formula: see text]-power degree. We prove that the subgroup of [Formula: see text] consisting of reduced norms of [Formula: see text] is exactly the kernel of the cup product map [Formula: see text], if either [Formula: see text] is tamely ramified or of period [Formula: see text]. This gives a [Formula: see text]-torsion counterpart of a recent theorem of Parimala, Preeti and Suresh, where the same result is proved for division algebras of prime-to-[Formula: see text] degree.

P2V-MAP: Mapping Market Structures for Large Retail Assortments

The authors propose a new, exploratory approach for analyzing market structures that leverages two recent methodological advances in natural language processing and machine learning. They customize a neural network language model to derive latent product attributes by analyzing the co-occurrences of products in shopping baskets. Applying dimensionality reduction to the latent attributes yields a two-dimensional product map. This method is well-suited to retailers because it relies on data that are readily available from their checkout systems and facilitates their analyses of cross-category product complementarity, in addition to within-category substitution. The approach has high usability because it is automated, is scalable and does not require a priori assumptions. Its results are easy to interpret and update as new market basket data are collected. The authors validate their approach both by conducting an extensive simulation study and by comparing their results with those of state-of-the-art, econometric methods for modeling product relationships. The application of this approach using data collected at a leading German grocery retailer underlines its usefulness and provides novel findings that are relevant to assortment-related decisions.

Developing Business Intelligence Product and Metacontent Map (BIP-Map)

A business intelligence (BI) system provides users with multi-dimensional information (a so-called “BI product”) to support decision making. However, existing BI systems overlook the lineage metadata which supports individual data quality dimensions such as data believability and ease of understanding. Using a design science research paradigm, this chapter proposes and develops an integrated framework (known as BI product and metacontent map – “BIP-Map”) to facilitate the traceability and accountability of BI products. Specifically, the business workflow layer of the integrated framework is modelled using business process modelling notation, and an information product map is used to model the second layer's information manufacturing process, whilst the third layer represents the metacontent detail of the data validation stage, from source system through to ETL, to the data warehousing stage. The integrated framework addresses individual-related data quality issues and builds user confidence by enhancing the traceability and accountability of a BI product.

TÜRKİYE’NİN TARIM SEKTÖRÜNÜN KARŞILAŞTIRMALI ÜSTÜNLÜKLER YÖNTEMİYLE ANALİZİ

Agricultural industry is an important part of both foreign trade and economic development for Turkey. Today, Turkey is both producer and exporter of especially many agricultural products in the world conjuncture. In this research, we queried whether Turkish agricultural industry has comparative advantage according to 24 chapters. We used Revealed Comparative Advantage (RCA), Revealed Symmetric Comparative Advantage (RSCA), Trade Equilibrium Index (TEI) and created product map of Turkish agricultural sector in our analysis. Data used in this research are provided from International Trade Centre (INTRADE) and belong to period between 2001and 2017. According to results of RCA and RSCA calculated in this research, Turkey which has great agricultural potential has a comparative advantage in 12 chapters and a competitive power in 11 chapters. Additionally, Turkey is a country which is net exporter in 18 chapters according to TEI values. Agricultural sector product map reveals that Turkey has occupied an important place in 9 of 24 chapters export since 2001. Shortly, the comparative advantage ratio of Turkey in Agricultural sector is 50%, competitive power ratio is 46% and net export power is 75% due to chapter numbers.