The paper is devoted to the specific problem of continuum mechanics numerical computation of the solution of two-dimensional Navier–Stokes equations for viscous incompressible fluids. The author plans to use the constructed numerical methods in hemodynamics to compute blood flow in elastic vessels. The support operators technique was chosen to construct the methods because it allows to construct conservative numerical methods, which can be relatively easy implemented on unstructured meshes. These properties are very important in hemodynamics. The whole family of such conservative methods was built. One of the methods was tested on the problem of fluid flow between two plane-parallel plates with different values of Reynolds number.
{"title":"Construction of the Algorithm and Computation of the Flow of an Incompressible Fluid Based on the Supporting Operators Method","authors":"N. Afanasiev","doi":"10.4036/IIS.2016.A.03","DOIUrl":"https://doi.org/10.4036/IIS.2016.A.03","url":null,"abstract":"The paper is devoted to the specific problem of continuum mechanics numerical computation of the solution of two-dimensional Navier–Stokes equations for viscous incompressible fluids. The author plans to use the constructed numerical methods in hemodynamics to compute blood flow in elastic vessels. The support operators technique was chosen to construct the methods because it allows to construct conservative numerical methods, which can be relatively easy implemented on unstructured meshes. These properties are very important in hemodynamics. The whole family of such conservative methods was built. One of the methods was tested on the problem of fluid flow between two plane-parallel plates with different values of Reynolds number.","PeriodicalId":91087,"journal":{"name":"Interdisciplinary information sciences","volume":"22 1","pages":"199-213"},"PeriodicalIF":0.0,"publicationDate":"2016-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70252038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study a delayed parabolic functional differential equation on a circle that is coupled with an initial value problem for the Schrodinger equation. Such equations arise as models of nonlinear optical systems with a timedelayed feedback loop, when diffusion of molecular excitation and diffraction are taken into account. The goal of this paper is to prove the existence of spatially inhomogeneous rotating-wave solutions bifurcating from homogeneous equilibria. We pass to a rotating coordinate system and seek an inhomogeneous solution to an ordinary functional differential equation. We find the solution in the form of a small parameter expansion and explicitly compute the first-order coefficients. We also provide examples of parameters that satisfy the constraints imposed throughout the analysis.
{"title":"Rotating Waves in a Model of Delayed Feedback Optical System with Diffraction","authors":"S. Budzinskiy","doi":"10.4036/IIS.2016.A.02","DOIUrl":"https://doi.org/10.4036/IIS.2016.A.02","url":null,"abstract":"We study a delayed parabolic functional differential equation on a circle that is coupled with an initial value problem for the Schrodinger equation. Such equations arise as models of nonlinear optical systems with a timedelayed feedback loop, when diffusion of molecular excitation and diffraction are taken into account. The goal of this paper is to prove the existence of spatially inhomogeneous rotating-wave solutions bifurcating from homogeneous equilibria. We pass to a rotating coordinate system and seek an inhomogeneous solution to an ordinary functional differential equation. We find the solution in the form of a small parameter expansion and explicitly compute the first-order coefficients. We also provide examples of parameters that satisfy the constraints imposed throughout the analysis.","PeriodicalId":91087,"journal":{"name":"Interdisciplinary information sciences","volume":"22 1","pages":"187-197"},"PeriodicalIF":0.0,"publicationDate":"2016-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4036/IIS.2016.A.02","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70252027","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We show that every matrix all of whose entries are in a fixed subgroup of the group of units of a commutative ring with identity is equivalent to a standard form. As a consequence, we improve the proof of Theorem 5 in D. Best, H. Kharaghani, H. Ramp [Disc. Math. 313 (2013), 855--864].
我们证明了所有元素都在具有恒等交换环的单位群的固定子群中的矩阵等价于一个标准形式。因此，我们改进了D. Best, H. Kharaghani, H. Ramp [Disc]中定理5的证明。数学学报，2013，(3)，855—864。
{"title":"Transforming a Matrix into a Standard Form","authors":"A. Munemasa, P. E. Putri","doi":"10.4036/IIS.2016.S.02","DOIUrl":"https://doi.org/10.4036/IIS.2016.S.02","url":null,"abstract":"We show that every matrix all of whose entries are in a fixed subgroup of the group of units of a commutative ring with identity is equivalent to a standard form. As a consequence, we improve the proof of Theorem 5 in D. Best, H. Kharaghani, H. Ramp [Disc. Math. 313 (2013), 855--864].","PeriodicalId":91087,"journal":{"name":"Interdisciplinary information sciences","volume":"23 1","pages":"163-166"},"PeriodicalIF":0.0,"publicationDate":"2016-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4036/IIS.2016.S.02","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70252326","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
$mathcal{PT}$ symmetry, namely, a combined parity and time-reversal symmetry can make non-unitary quantum walks exhibit entirely real eigenenergy. However, it is known that the concept of $mathcal{PT}$ symmetry can be generalized and an arbitrary anti-unitary symmetry has a possibility to substitute $mathcal{PT}$ symmetry. The aim of the present work is to seek such non-unitary quantum walks with generalized $mathcal{PT}$ symmetry by focusing on effects of spatially random disorder which breaks $mathcal{PT}$ symmetry. We numerically find non-unitary quantum walks whose quasi-energy is entirely real despite $mathcal{PT}$ symmetry is broken.
{"title":"Effects of Disorder on Non-unitary PT Symmetric Quantum Walks","authors":"Ken Mochizuki, H. Obuse","doi":"10.4036/iis.2017.A.12","DOIUrl":"https://doi.org/10.4036/iis.2017.A.12","url":null,"abstract":"$mathcal{PT}$ symmetry, namely, a combined parity and time-reversal symmetry can make non-unitary quantum walks exhibit entirely real eigenenergy. However, it is known that the concept of $mathcal{PT}$ symmetry can be generalized and an arbitrary anti-unitary symmetry has a possibility to substitute $mathcal{PT}$ symmetry. The aim of the present work is to seek such non-unitary quantum walks with generalized $mathcal{PT}$ symmetry by focusing on effects of spatially random disorder which breaks $mathcal{PT}$ symmetry. We numerically find non-unitary quantum walks whose quasi-energy is entirely real despite $mathcal{PT}$ symmetry is broken.","PeriodicalId":91087,"journal":{"name":"Interdisciplinary information sciences","volume":"23 1","pages":"95-103"},"PeriodicalIF":0.0,"publicationDate":"2016-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4036/iis.2017.A.12","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70252126","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper focuses on the Accusative with to-infinitive Constructions in English that denote causative meaning, exemplified by She persuaded me to go to the hospital. Based on the five diagnostics, the syntactic structures of such constructions are clarified, and on the basis of two semantic perspectives, the semantic structures of the causative verbs occurring therein are defined. Finally, the issue of how the syntactic structures are derived from the semantic structures is addressed by way of the Lexical Conceptual Structures and the Qualia Structures of four types of causative to-infinitive verbs.
{"title":"The Syntactic and Semantic Structures of the English Causative to-infinitives","authors":"Tsuyoshi Sugawara","doi":"10.4036/IIS.2015.R.03","DOIUrl":"https://doi.org/10.4036/IIS.2015.R.03","url":null,"abstract":"This paper focuses on the Accusative with to-infinitive Constructions in English that denote causative meaning, exemplified by She persuaded me to go to the hospital. Based on the five diagnostics, the syntactic structures of such constructions are clarified, and on the basis of two semantic perspectives, the semantic structures of the causative verbs occurring therein are defined. Finally, the issue of how the syntactic structures are derived from the semantic structures is addressed by way of the Lexical Conceptual Structures and the Qualia Structures of four types of causative to-infinitive verbs.","PeriodicalId":91087,"journal":{"name":"Interdisciplinary information sciences","volume":"24 1 1","pages":"57-79"},"PeriodicalIF":0.0,"publicationDate":"2016-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4036/IIS.2015.R.03","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70251715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The adjacency matrix of the lexicographic product of graphs is decomposed into a sum of monotone independent random variables in a certain product state. The adjacency matrix of the strong product of graphs admits an expression in terms of commutative independent random variables in a product state. Their spectral distributions are obtained by using the monotone, classical and Mellin convolutions of probability distributions.
{"title":"Quantum Probability Aspects to Lexicographic and Strong Products of Graphs","authors":"N. Obata","doi":"10.4036/IIS.2016.S.01","DOIUrl":"https://doi.org/10.4036/IIS.2016.S.01","url":null,"abstract":"The adjacency matrix of the lexicographic product of graphs is decomposed into a sum of monotone independent random variables in a certain product state. The adjacency matrix of the strong product of graphs admits an expression in terms of commutative independent random variables in a product state. Their spectral distributions are obtained by using the monotone, classical and Mellin convolutions of probability distributions.","PeriodicalId":91087,"journal":{"name":"Interdisciplinary information sciences","volume":"22 1","pages":"143-146"},"PeriodicalIF":0.0,"publicationDate":"2016-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70252317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study a two-country two-factor model with free entry and monopolistic competition. There are two industries employing immobile labor as fixed input and mobile capital as marginal input. Firms cannot move across countries, but only move across industries within a country. The two industries can differ in three aspects: factor intensities, transport costs and demand elasticities. The two countries are identical except for size. The production specialization and trade pattern are the results of the interaction of two effects: the market access effect and the wage differential effect.
{"title":"Trade and the Location of Two Industries: A Two-Factor Model","authors":"Yiming Zhou, Chutokuro Imaizumi, Tatsuhito Kono, Dao‐Zhi Zeng","doi":"10.4036/IIS.2015.R.02","DOIUrl":"https://doi.org/10.4036/IIS.2015.R.02","url":null,"abstract":"We study a two-country two-factor model with free entry and monopolistic competition. There are two industries employing immobile labor as fixed input and mobile capital as marginal input. Firms cannot move across countries, but only move across industries within a country. The two industries can differ in three aspects: factor intensities, transport costs and demand elasticities. The two countries are identical except for size. The production specialization and trade pattern are the results of the interaction of two effects: the market access effect and the wage differential effect.","PeriodicalId":91087,"journal":{"name":"Interdisciplinary information sciences","volume":"75 1","pages":"1-15"},"PeriodicalIF":0.0,"publicationDate":"2016-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70251660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Shingo Hasegawa, Shuji Isobe, Jun-ya Iwazaki, E. Koizumi, Hiroki Shizuya
The password-protected secret sharing (PPSS, for short) and its security notion, called in this paper the PPSS- security, were proposed by Bagherzandi, Jarecki, Saxena and Lu. However, another security notion for PPSS schemes, the pparam-security was proposed by Hasegawa, Isobe, Iwazaki, Koizumi and Shizuya, because they pointed out an attack which can break the original protocol proposed by Bagherzandi et al. Hasegawa et al. also showed how to enhance the protocol, and proved that the enhanced one is pparam-secure. In this paper, we prove that the enhanced one is PPSS-secure as well.
{"title":"A Rigorous Security Proof for the Enhanced Version of Password-Protected Secret Sharing Scheme","authors":"Shingo Hasegawa, Shuji Isobe, Jun-ya Iwazaki, E. Koizumi, Hiroki Shizuya","doi":"10.4036/IIS.2015.R.04","DOIUrl":"https://doi.org/10.4036/IIS.2015.R.04","url":null,"abstract":"The password-protected secret sharing (PPSS, for short) and its security notion, called in this paper the PPSS- security, were proposed by Bagherzandi, Jarecki, Saxena and Lu. However, another security notion for PPSS schemes, the pparam-security was proposed by Hasegawa, Isobe, Iwazaki, Koizumi and Shizuya, because they pointed out an attack which can break the original protocol proposed by Bagherzandi et al. Hasegawa et al. also showed how to enhance the protocol, and proved that the enhanced one is pparam-secure. In this paper, we prove that the enhanced one is PPSS-secure as well.","PeriodicalId":91087,"journal":{"name":"Interdisciplinary information sciences","volume":"22 1","pages":"31-55"},"PeriodicalIF":0.0,"publicationDate":"2016-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4036/IIS.2015.R.04","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70251914","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Natural language demonstrates discontinuous relationships between related words. Neurophysiology has reported that two types of brain electrical activities are related to discontinuous dependency. Sustained anterior negative potentials (SAN) are considered to be short-term memory storage for dislocated words. A late positivity (P600) appears concurrently with SAN decay, and is interpreted as the integration cost of a discontinuous word with a related word. Discontinuous verbal processing through SAN and P600 is considered to be unfavorable because of redundant neural resource consumption. However, SAN and P600 may reflect a global prediction-based strategy, which rather actively consumes memory resources to comprehend an overall meaning. We thus prepared four types of sentences (noun 1/adverb/noun 2/verb), which were modulated by grammatical information (case marker) and word order factors, and recorded brain potentials from Japanese participants performing a sentence comprehension task. Consistently with our prediction, P600 appeared and SAN disappeared upon the presentation of second nouns, but only in the canonical order including first subject words without a case marker. Hence, discontinuous verbal processing and its neural correlates should be re-considered in the context of interactions between local memory costs and global prediction strategies.
{"title":"Non-economical Verbal Information Processing Driven by a Look-ahead'' Strategy Under Poor Availability of Structural Information","authors":"T. Soshi, H. Hagiwara","doi":"10.4036/IIS.2016.R.04","DOIUrl":"https://doi.org/10.4036/IIS.2016.R.04","url":null,"abstract":"Natural language demonstrates discontinuous relationships between related words. Neurophysiology has reported that two types of brain electrical activities are related to discontinuous dependency. Sustained anterior negative potentials (SAN) are considered to be short-term memory storage for dislocated words. A late positivity (P600) appears concurrently with SAN decay, and is interpreted as the integration cost of a discontinuous word with a related word. Discontinuous verbal processing through SAN and P600 is considered to be unfavorable because of redundant neural resource consumption. However, SAN and P600 may reflect a global prediction-based strategy, which rather actively consumes memory resources to comprehend an overall meaning. We thus prepared four types of sentences (noun 1/adverb/noun 2/verb), which were modulated by grammatical information (case marker) and word order factors, and recorded brain potentials from Japanese participants performing a sentence comprehension task. Consistently with our prediction, P600 appeared and SAN disappeared upon the presentation of second nouns, but only in the canonical order including first subject words without a case marker. Hence, discontinuous verbal processing and its neural correlates should be re-considered in the context of interactions between local memory costs and global prediction strategies.","PeriodicalId":91087,"journal":{"name":"Interdisciplinary information sciences","volume":"22 1","pages":"123-141"},"PeriodicalIF":0.0,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70252262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Open Information Extraction is a relation-independent extraction paradigm that extracts assertions from massive and heterogeneous corpora such as the Web. Light relation extractors focus on efficiency by restricting analysis to some shallow linguistic tools such as part-of-speech tagging. Although these methods are fast and scalable, they are unable to deal with complex sentences (such as complicated and long distance relations) due to using only shallow syntactic features. This paper presents two novel hybrid methods, TextRunner-DepOE (TR-DOE) and ReVerb-DepOE (RV-DOE) which combine high-performance subset of shallow Open IE systems with the strengths of a deep Open IE system. We detect the best trade-off between precision and recall by tuning two combination parameters: sentence length and confidence measure. Since the focus is on using time efficiently, we used a fast and robust deep extractor. Experiments indicate that the proposed hybrid methods obtain significantly higher performance than their constituent systems. The best result was for TR-DOE which had an F-measure almost twice that of TextRunner.
{"title":"A Hybrid Method for Open Information Extraction Based on Shallow and Deep Linguistic Analysis","authors":"Vahideh Reshadat, Maryam Hoorali, Heshaam Faili","doi":"10.4036/IIS.2016.R.03","DOIUrl":"https://doi.org/10.4036/IIS.2016.R.03","url":null,"abstract":"Open Information Extraction is a relation-independent extraction paradigm that extracts assertions from massive and heterogeneous corpora such as the Web. Light relation extractors focus on efficiency by restricting analysis to some shallow linguistic tools such as part-of-speech tagging. Although these methods are fast and scalable, they are unable to deal with complex sentences (such as complicated and long distance relations) due to using only shallow syntactic features. This paper presents two novel hybrid methods, TextRunner-DepOE (TR-DOE) and ReVerb-DepOE (RV-DOE) which combine high-performance subset of shallow Open IE systems with the strengths of a deep Open IE system. We detect the best trade-off between precision and recall by tuning two combination parameters: sentence length and confidence measure. Since the focus is on using time efficiently, we used a fast and robust deep extractor. Experiments indicate that the proposed hybrid methods obtain significantly higher performance than their constituent systems. The best result was for TR-DOE which had an F-measure almost twice that of TextRunner.","PeriodicalId":91087,"journal":{"name":"Interdisciplinary information sciences","volume":"22 1","pages":"87-100"},"PeriodicalIF":0.0,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4036/IIS.2016.R.03","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70252163","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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