We introduce in this paper cryptographic protocols which use combinatorial group theory. Based on a combinatorial distribution of shares we present secret sharing schemes and cryptosystems using Nielsen transformation...We introduce in this paper cryptographic protocols which use combinatorial group theory. Based on a combinatorial distribution of shares we present secret sharing schemes and cryptosystems using Nielsen transformations. Nielsen transformations are a linear technique to study free groups and general infinite groups. In addition the group of all automorphisms of a free group F, denoted by AUT (F), is generated by a regular Nielsen transformation between two basis of F, and each regular Nielsen transformation between two basis of F defines an automorphism of F.展开更多
The pedagogical promise of Competency-Based Education(CBE)has been historically undermined by pro-found challenges of scalability,creating an implementation gap between its theoretical merits and practicalapplication....The pedagogical promise of Competency-Based Education(CBE)has been historically undermined by pro-found challenges of scalability,creating an implementation gap between its theoretical merits and practicalapplication.This paper proposes a testable mechanism model wherein Artificial Intelligence(Al)enables the scaling of CBE through three interconnected pathways-diagnostic tracking,adaptive supply,and teacher or-chestration-formalized within a distributed cognition framework.To operationalize this model,this paper in-troduces novel constructs including the"Adaptive-Autonomy Curve"for systematically cultivating self-regulated learning in personalized environments,and a"Situated Performance-Based Assessment Pipeline"for authentic,scalable evaluation of complex skills.The primary contributions of this work are fourfold:first,it provides a rigorous conceptual taxonomy that delineates CBE from adjacent paradigms such as mastery learning and per-sonalized learning;second,it advances a set of falsifiable propositions to guide future empirical research;third,it formalizes the human-Al pedagogical relationship with operational design principles;and fourth,it presents an integrated governance and interoperability protocol for the responsible and effective implementation of Al in competency-based systems.展开更多
This paper addresses the critical need for a holistic,evidence-based national strategy to cultivate a world-class artificial intelligence(Al)talent pool.As Al reshapes global economies,labor markets,and the geopolitic...This paper addresses the critical need for a holistic,evidence-based national strategy to cultivate a world-class artificial intelligence(Al)talent pool.As Al reshapes global economies,labor markets,and the geopolitical land-scape,national competitiveness hinges on the ability to develop,attract,and retain Al expertise.Employing a systematic scoping review methodology,this study synthesizes evidence from academic literature,government policy documents,and industry white papers to construct an integrated strategic blueprint.The analysis decon-structs the core components of a comprehensive talent development policy,proposing a multi-pillar framework that integrates a lifelong learning continuum,a differentiated talent pipeline architecture,synergistic public-private enablers,and modernized evaluation paradigms.Through a comparative analysis of divergent nationalstrategies-including the market-driven model of the United States,the governance-first approach of the Eu-ropean Union,and the state-directed models of India,Singapore,the United Arab Emirates,and Canada-this paper illuminates the trade-offs between different philosophical and tactical choices.Key findings reveal the heterogeneous nature of Al's impact on labor,the centrality of public trust as a prerequisite for adoption,and a necessary paradigm shift from credential-based to competency-based talent evaluation.The proposed blueprint,which introduces a novel"Builder-Bridger"talent model,offers a comprehensive,actionable guide for policymakers and academic leaders aiming to build a sustainable and globally competitive national Al talent base capable of navigating the complexities of the Al era.展开更多
文摘We introduce in this paper cryptographic protocols which use combinatorial group theory. Based on a combinatorial distribution of shares we present secret sharing schemes and cryptosystems using Nielsen transformations. Nielsen transformations are a linear technique to study free groups and general infinite groups. In addition the group of all automorphisms of a free group F, denoted by AUT (F), is generated by a regular Nielsen transformation between two basis of F, and each regular Nielsen transformation between two basis of F defines an automorphism of F.
文摘The pedagogical promise of Competency-Based Education(CBE)has been historically undermined by pro-found challenges of scalability,creating an implementation gap between its theoretical merits and practicalapplication.This paper proposes a testable mechanism model wherein Artificial Intelligence(Al)enables the scaling of CBE through three interconnected pathways-diagnostic tracking,adaptive supply,and teacher or-chestration-formalized within a distributed cognition framework.To operationalize this model,this paper in-troduces novel constructs including the"Adaptive-Autonomy Curve"for systematically cultivating self-regulated learning in personalized environments,and a"Situated Performance-Based Assessment Pipeline"for authentic,scalable evaluation of complex skills.The primary contributions of this work are fourfold:first,it provides a rigorous conceptual taxonomy that delineates CBE from adjacent paradigms such as mastery learning and per-sonalized learning;second,it advances a set of falsifiable propositions to guide future empirical research;third,it formalizes the human-Al pedagogical relationship with operational design principles;and fourth,it presents an integrated governance and interoperability protocol for the responsible and effective implementation of Al in competency-based systems.
文摘This paper addresses the critical need for a holistic,evidence-based national strategy to cultivate a world-class artificial intelligence(Al)talent pool.As Al reshapes global economies,labor markets,and the geopolitical land-scape,national competitiveness hinges on the ability to develop,attract,and retain Al expertise.Employing a systematic scoping review methodology,this study synthesizes evidence from academic literature,government policy documents,and industry white papers to construct an integrated strategic blueprint.The analysis decon-structs the core components of a comprehensive talent development policy,proposing a multi-pillar framework that integrates a lifelong learning continuum,a differentiated talent pipeline architecture,synergistic public-private enablers,and modernized evaluation paradigms.Through a comparative analysis of divergent nationalstrategies-including the market-driven model of the United States,the governance-first approach of the Eu-ropean Union,and the state-directed models of India,Singapore,the United Arab Emirates,and Canada-this paper illuminates the trade-offs between different philosophical and tactical choices.Key findings reveal the heterogeneous nature of Al's impact on labor,the centrality of public trust as a prerequisite for adoption,and a necessary paradigm shift from credential-based to competency-based talent evaluation.The proposed blueprint,which introduces a novel"Builder-Bridger"talent model,offers a comprehensive,actionable guide for policymakers and academic leaders aiming to build a sustainable and globally competitive national Al talent base capable of navigating the complexities of the Al era.
