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From Inputs to Beliefs 从输入到信念
Philosophic research and analysis Pub Date : 2022-10-01 DOI: 10.1093/analys/anac087
R. Neta
{"title":"From Inputs to Beliefs","authors":"R. Neta","doi":"10.1093/analys/anac087","DOIUrl":"https://doi.org/10.1093/analys/anac087","url":null,"abstract":"","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"25 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91322105","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}
引用次数: 1
Précis
Philosophic research and analysis Pub Date : 2022-10-01 DOI: 10.1093/analys/anac086
M. Bergmann
{"title":"Précis","authors":"M. Bergmann","doi":"10.1093/analys/anac086","DOIUrl":"https://doi.org/10.1093/analys/anac086","url":null,"abstract":"","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74527193","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}
引用次数: 0
Replies to Nagel, Neta and Pritchard 回复Nagel, Neta和Pritchard
Philosophic research and analysis Pub Date : 2022-10-01 DOI: 10.1093/analys/anac089
M. Bergmann
{"title":"Replies to Nagel, Neta and Pritchard","authors":"M. Bergmann","doi":"10.1093/analys/anac089","DOIUrl":"https://doi.org/10.1093/analys/anac089","url":null,"abstract":"","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85341861","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}
引用次数: 0
Global existence and blow-up of solutions for coupled bi-harmonic nonlinear wave equations 耦合双谐波非线性波动方程解的整体存在性和爆破性
Philosophic research and analysis Pub Date : 2022-09-30 DOI: 10.1515/anly-2022-1055
R. Ghanmi, T. Saanouni
{"title":"Global existence and blow-up of solutions for coupled bi-harmonic nonlinear wave equations","authors":"R. Ghanmi, T. Saanouni","doi":"10.1515/anly-2022-1055","DOIUrl":"https://doi.org/10.1515/anly-2022-1055","url":null,"abstract":"Abstract This work studies the coupled nonlinear fourth-order wave system u ¨ i + Δ 2 ⁢ u i + u i = ± ( ∑ 1 ≤ j ≤ m a i ⁢ j ⁢ | u j | p ) ⁢ | u i | p - 2 ⁢ u i . ddot{u}_{i}+Delta^{2}u_{i}+u_{i}=pmbigg{(}sum_{1leq jleq m}a_{ij}lvert u% _{j}rvert^{p}biggr{)}lvert u_{i}rvert^{p-2}u_{i}. The main goal is to develop a local theory in the energy space and to investigate some issues of the global theory. Indeed, using a standard contraction argument coupled with Strichartz estimates, one obtains a local solution in the inhomogeneous Sobolev space ( H 1 ) m {(H^{1})^{m}} for the energy sub-critical regime. Then the local solution extends to a global one in the attractive regime; also in the energy critical case there is a global solution with small data. For a repulsive source term, by using the potential well theory with a concavity argument, the local solution may concentrate in finite time or extend to a global one. Finally, in the inter-critical regime, one proves the existence of infinitely many non-global solutions with data near to the stationary solution. Here, one needs to deal with the coupled source term which gives some technical restrictions such as p ≥ 2 {pgeq 2} in order to avoid a singularity. This assumption in the inter-critical regime gives a restriction on the space dimension.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"139 1","pages":"31 - 47"},"PeriodicalIF":0.0,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85372862","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}
引用次数: 0
On the new bicomplex generalization of Hurwitz–Lerch zeta function with properties and applications 关于Hurwitz-Lerch zeta函数的新的双复推广及其性质和应用
Philosophic research and analysis Pub Date : 2022-09-30 DOI: 10.1515/anly-2021-1032
Ankita Chandola, R. Pandey, K. Nisar
{"title":"On the new bicomplex generalization of Hurwitz–Lerch zeta function with properties and applications","authors":"Ankita Chandola, R. Pandey, K. Nisar","doi":"10.1515/anly-2021-1032","DOIUrl":"https://doi.org/10.1515/anly-2021-1032","url":null,"abstract":"Abstract In the recent years, various authors introduced different generalizations of the Hurwitz–Lerch zeta function and discussed its various properties. The main aim of our study is to introduce a new bicomplex generalization of the Hurwitz–Lerch zeta function using the new generalized form of the beta function that involves the Appell series and Lauricella functions. The new bicomplex generalization of the Hurwitz–Lerch zeta function reduces to some already known functions like the Hurwitz–Lerch zeta function, Hurwitz zeta function, Riemann zeta function and polylogarithmic function. Its different properties such as recurrence relation, summation formula, differentiation formula, generating relations and integral representations are investigated. All results induced are general in nature and reducible to already known results. As an application of the new bicomplex generalization of the Hurwitz–Lerch zeta function, we have developed a new generalized form of fractional kinetic equation and obtained its solution using the natural transform.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"26 1","pages":"71 - 88"},"PeriodicalIF":0.0,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84119263","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}
引用次数: 1
Parameterized Simpson-like inequalities for differential s-convex functions 微分s-凸函数的参数化类simpson不等式
Philosophic research and analysis Pub Date : 2022-09-30 DOI: 10.1515/anly-2022-1068
L. Mahmoudi, B. Meftah
{"title":"Parameterized Simpson-like inequalities for differential s-convex functions","authors":"L. Mahmoudi, B. Meftah","doi":"10.1515/anly-2022-1068","DOIUrl":"https://doi.org/10.1515/anly-2022-1068","url":null,"abstract":"Abstract In this paper, we first prove a new parameterized identity that generates a quadrature rule family similar to Simpson’s second formula, and then we establish some new Simpson-like type inequalities for functions whose first derivatives are s-convex in the second sense, from which we can deduce the famous 3 8 {frac{3}{8}} -Simpson inequality. We end the article with some applications.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"22 1","pages":"59 - 70"},"PeriodicalIF":0.0,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80055569","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}
引用次数: 2
Stabilization by an estimated state controller of nonlinear time-varying systems 非线性时变系统的估计状态控制器镇定
Philosophic research and analysis Pub Date : 2022-09-30 DOI: 10.1515/anly-2022-1050
H. Damak, M. Hammami
{"title":"Stabilization by an estimated state controller of nonlinear time-varying systems","authors":"H. Damak, M. Hammami","doi":"10.1515/anly-2022-1050","DOIUrl":"https://doi.org/10.1515/anly-2022-1050","url":null,"abstract":"Abstract In linear systems, it is well known that any combination of stabilizing state feedback controller and a state observer results in the output feedback controller which asymptotically stabilizes the closed-loop system. This is known as the separation principle, which does not generally hold for nonlinear systems. For nonlinear systems, the output feedback problem is usually pursued by extending the results of observer synthesis, which itself is a challenging problem. In this paper, we investigate the stabilization via an observer configuration problem for some classes of nonlinear time-varying systems by using new integral inequalities of Gronwall type. Given that the sufficient conditions of the controller and observer problem are satisfied, we show that the proposed controller with estimated state feedback from the proposed practical observer will achieve the global practical exponential stabilization. Furthermore, the effectiveness of the proposed scheme is shown through simulation for two numerical examples.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"55 1","pages":"15 - 30"},"PeriodicalIF":0.0,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85392917","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}
引用次数: 0
Speculations in High Dimensions 高维的推测
Philosophic research and analysis Pub Date : 2022-09-13 DOI: 10.1093/analys/anac053
T. Maudlin
{"title":"Speculations in High Dimensions","authors":"T. Maudlin","doi":"10.1093/analys/anac053","DOIUrl":"https://doi.org/10.1093/analys/anac053","url":null,"abstract":"","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"114 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79232046","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}
引用次数: 2
Urysohn and Hammerstein operators on Hölder spaces Hölder空间上的Urysohn和Hammerstein算子
Philosophic research and analysis Pub Date : 2022-08-30 DOI: 10.1515/anly-2021-0052
C. Pötzsche
{"title":"Urysohn and Hammerstein operators on Hölder spaces","authors":"C. Pötzsche","doi":"10.1515/anly-2021-0052","DOIUrl":"https://doi.org/10.1515/anly-2021-0052","url":null,"abstract":"Abstract We present an application-oriented approach to Urysohn and Hammerstein integral operators acting between spaces of Hölder continuous functions over compact metric spaces. These nonlinear mappings are formulated by means of an abstract measure theoretical integral involving a finite measure. This flexible setting creates a common framework to tackle both such operators based on the Lebesgue integral like frequently met in applications, as well as, e.g., their spatial discretization using stable quadrature/cubature rules (Nyström methods). Under suitable Carathéodory conditions on the kernel functions, properties like well-definedness, boundedness, (complete) continuity and continuous differentiability are established. Furthermore, the special case of Hammerstein operators is understood as composition of Fredholm and Nemytskii operators. While our differentiability results for Urysohn operators appear to be new, the section on Nemytskii operators has a survey character. Finally, an appendix provides a rather comprehensive account summarizing the required preliminaries for Hölder continuous functions defined on metric spaces.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"9 1","pages":"205 - 240"},"PeriodicalIF":0.0,"publicationDate":"2022-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74393782","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}
引用次数: 2
Perception, Flux and Learning 感知、变化和学习
Philosophic research and analysis Pub Date : 2022-08-03 DOI: 10.1093/analys/anac040
Casey O’Callaghan
{"title":"Perception, Flux and Learning","authors":"Casey O’Callaghan","doi":"10.1093/analys/anac040","DOIUrl":"https://doi.org/10.1093/analys/anac040","url":null,"abstract":"","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83528170","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}
引用次数: 1
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