scholarly journals Quantitative properties of the non-properness set of a polynomial map

2017 ◽  
Vol 156 (3-4) ◽  
pp. 383-397 ◽  
Author(s):  
Zbigniew Jelonek ◽  
Michał Lasoń
Keyword(s):  
Polynomial Map ◽  
Quantitative Properties

scholarly journals Quantitative properties of the non-properness set of a polynomial map, a positive characteristic case

2019 ◽  
Vol 19 (10) ◽  
pp. 2050192
Author(s):  
Zbigniew Jelonek ◽  
Michał Lasoń
Keyword(s):  
Upper Bound ◽  
Positive Characteristic ◽  
Manuscripta Math ◽  
Geometric Proof ◽  
Real Numbers ◽  
Affine Spaces ◽  
Polynomial Curves ◽  
Polynomial Map ◽  
Characteristic Case ◽  
Quantitative Properties

Let [Formula: see text] be a generically finite polynomial map of degree [Formula: see text] between affine spaces. In [Z. Jelonek and M. Lasoń, Quantitative properties of the non-properness set of a polynomial map, Manuscripta Math. 156(3–4) (2018) 383–397] we proved that if [Formula: see text] is the field of complex or real numbers, then the set [Formula: see text] of points at which [Formula: see text] is not proper is covered by polynomial curves of degree at most [Formula: see text]. In this paper, we generalize this result to positive characteristic. We provide a geometric proof of an upper bound by [Formula: see text].

Ont he monodromy representation of polynomial maps in n variables

2002 ◽  
Vol 39 (3-4) ◽  
pp. 361-367
Author(s):  
A. Némethi ◽  
I. Sigray
Keyword(s):  
Cohomology Group ◽  
Jacobian Conjecture ◽  
Natural Basis ◽  
Generic Fiber ◽  
Monodromy Representation ◽  
Polynomial Maps ◽  
Polynomial Map

For a   non-constant polynomial map f: Cn?Cn-1 we consider the monodromy representation on the cohomology group of its generic fiber. The main result of the paper determines its dimension and provides a natural basis for it. This generalizes the corresponding results of [2] or [10], where the case n=2 is solved. As  applications,  we verify the Jacobian conjecture for (f,g) when the generic fiber of f is either rational or elliptic. These are generalizations of the corresponding results of [5], [7], [8], [11] and [12], where the case  n=2 is treated.

Words, constructions and corpora: Network representations of constructional semantics for Mandarin space particles

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Alvin Cheng-Hsien Chen
Keyword(s):  
Clustering Coefficient ◽  
Linguistic Knowledge ◽  
Scale Free ◽  
Network Analyses ◽  
Semantic Fields ◽  
Text Corpora ◽  
Quantitative Properties ◽  
Local Clustering Coefficient ◽  
Linguistic Units

AbstractIn this study, we aim to demonstrate the effectiveness of network science in exploring the emergence of constructional semantics from the connectedness and relationships between linguistic units. With Mandarin locative constructions (MLCs) as a case study, we extracted constructional tokens from a representative corpus, including their respective space particles (SPs) and the head nouns of the landmarks (LMs), which constitute the nodes of the network. We computed edges based on the lexical similarities of word embeddings learned from large text corpora and the SP-LM contingency from collostructional analysis. We address three issues: (1) For each LM, how prototypical is it of the meaning of the SP? (2) For each SP, how semantically cohesive are its LM exemplars? (3) What are the emerging semantic fields from the constructional network of MLCs? We address these questions by examining the quantitative properties of the network at three levels: microscopic (i.e., node centrality and local clustering coefficient), mesoscopic (i.e., community) and macroscopic properties (i.e., small-worldness and scale-free). Our network analyses bring to the foreground the importance of repeated language experiences in the shaping and entrenchment of linguistic knowledge.

Evolutionary Consequences of Tradeoffs between Yield and Rate of ATP Production

2002 ◽  
Vol 216 (1) ◽  
Author(s):  
Thomas Pfeiffer ◽  
Sebastian Bonhoeffer
Keyword(s):  
Game Theory ◽  
Population Dynamics ◽  
Energy Metabolism ◽  
Adenosine Triphosphate ◽  
Organic Material ◽  
High Yield ◽  
Atp Production ◽  
Cellular Processes ◽  
Quantitative Properties ◽  
Evolutionary Consequences

Adenosine triphosphate (ATP) is a key compound in the energy metabolism of cells and is required to drive vital biochemical reactions. In heterotrophic organisms ATP production is coupled to the degradation of energy-rich organic material taken up from the environment. In the transfer of the environmental energy to cellular processes heterotrophs face a tradeoff, since the conversion of the environmental energy into ATP cannot be both maximally fast and efficient. Here we show how tradeoffs between rate and yield of ATP production arise firstly from thermodynamical principles, and secondly for the ATP production by respiration and fermentation. Using methods derived from game theory and population dynamics we investigate the evolutionary consequences for both tradeoffs. We show that spatially structured environments enable the evolution of efficient pathways with high yield. The strategies of ATP production realized in a population, however, depend on the quantitative properties of the tradeoffs.

scholarly journals Some New Volterra-Fredholm-Type Discrete Inequalities and Their Applications in the Theory of Difference Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-24 ◽  
Author(s):  
Bin Zheng ◽  
Qinghua Feng
Keyword(s):  
Difference Equations ◽  
Fredholm Type ◽  
Qualitative And Quantitative ◽  
Independent Variables ◽  
Discrete Inequalities ◽  
Quantitative Properties ◽  
Two Independent Variables

Some new Volterra-Fredholm-type discrete inequalities in two independent variables are established, which provide a handy tool in the study of qualitative and quantitative properties of solutions of certain difference equations. The established results extend some known results in the literature.

Mapping OWL-S Process Model to Timed Automata

2018 ◽  
Vol 11 (1) ◽  
pp. 29-48
Author(s):  
Amel Boumaza ◽  
Ramdane Maamri
Keyword(s):  
Web Services ◽  
Process Model ◽  
Timed Automata ◽  
Automatic Verification ◽  
Covering Problems ◽  
Field Verification ◽  
Starting Point ◽  
Quantitative Properties ◽  
Time Systems

The conversion of web services to semantic web comes the opportunity to automate various tasks. OWL-S plays a key role in describing web services behaviour. While ontology-based semantics given to OWL-S is structural rather than behaviourally oriented, we cannot automate an essential task in this field, verification. In this article, the mapping of OWL-S process model to Timed automata is investigated, which is a suitable formalism for real time systems modeling and automatic verification. Hence, this has led to not only enabling automatic verification but also covering problems related to automated verification of temporal quantitative properties as bounded liveness property. As a starting point, the OWL-S and sub entry of time ontologies for describing the timed behaviour of services has been chosen. A defined set of mapping rules is used to automatically encode control constructs defined in OWL-S and temporal information into timed automata. Also, it is shown how a Uppaal checker is used to check required properties formulated in TCTL. Finally, an EClinic case study is used to illustrate the technique.

Polynomial remainders and plane automorphisms

2003 ◽  
Vol 68 (1) ◽  
pp. 73-79
Author(s):  
Takis Sakkalis
Keyword(s):  
Jacobian Conjecture ◽  
Real Polynomial ◽  
Polynomial Automorphisms ◽  
Polynomial Map

This note relates polynomial remainders with polynomial automorphisms of the plane. It also formulates a conjecture, equivalent to the famous Jacobian Conjecture. The latter provides an algorithm for checking when a polynomial map is an automorphism. In addition, a criterion is presented for a real polynomial map to be bijective.

scholarly journals Comparative evaluation of properties of a clay based ceramic shaped via four techniques

Cerâmica ◽  
2018 ◽  
Vol 64 (370) ◽  
pp. 176-182 ◽  
Author(s):  
C. I. Torres ◽  
N. M. Rendtorff ◽  
M. Cipollone ◽  
E. F. Aglietti ◽  
G. Suárez
Keyword(s):  
Sintering Temperature ◽  
Continuous Process ◽  
Slip Casting ◽  
Textural Properties ◽  
Batch Process ◽  
Ceramic Ware ◽  
Kaolinite Clay ◽  
Qualitative And Quantitative ◽  
Quantitative Properties ◽  
Forming Methods

Abstract The results of qualitative and quantitative properties of clay based ceramic are presented in this work. Four different shaping methods and sintering temperatures were used to understand their influence in the final properties of a ceramic material formulated using kaolinite clay and calcined alumina. This material can be used as a structural ceramic for different applications, and there is no pre-established relation between the forming method and the final sintered properties. Forming methods used to prepare the samples were uniaxial pressing (a batch process that allows application in dry samples), extruding (a continuous process that requires moisture), slip casting (a process that allows to shape complex ceramic ware), and lamination (a batch process that requires moisture). Sintering temperatures were in the range of 1100 and 1400 °C. In order to compare how properties behave as the shaping method and sintering temperature change, textural properties, shrinkage, porosimetry, phase composition and mechanical strength were evaluated and analyzed. Scanning electron microscopy and microtomography were employed for analyzing and comparing the developed microstructures. Differences in the resulting properties are explained in terms of the developed crystalline phases and microstructure.

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