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1. Mobility of geometric constraint systems with extrusion symmetry NSTL国家科技图书文献中心

Owen, J. | Schulze, B. - 《Beitrage zur Algebra und Geometrie》 - 2025,66(2) - 345～389 - 共45页

摘要：If we take a (bar-joint) framework, prepare an | identical copy of this framework, translate it by some | vector tau documentclass[12pt]{minimal} usepackage | {amsmath} usepackage{wasysym} usepackage{amsfonts | } usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs

关键词： Bar-joint framework | Point-hyperplane framework | Symmetry | Infinitesimal rigidity | Finite motion | Mechanism

2. Rigidity of symmetric linearly constrained frameworks in the plane NSTL国家科技图书文献中心

Nixon, Anthony | Schulze, Bernd ... - 《Discrete Applied Mathematics》 - 2025,361 - 370～388 - 共19页

摘要：A bar-joint framework (G, p) is the | combination of a finite simple graph G = (V, E) and a | placement p : V - Rd. The framework is rigid if the only | edge-length preserving continuous motions of the | vertices arise from isometries of the space. Motivated by

关键词： Rigidity | Linearly constrained framework | Incidental symmetry | Symmetric framework | Recursive construction

3. Mitigating bias in long-term terrestrial ecoacoustic studies NSTL国家科技图书文献中心

Jarrett, David | Barnett, Ross ... - 《The Journal of Applied Ecology》 - 2025,62(4) - 761～772 - 共12页

摘要：Long-term biodiversity monitoring is needed to | track progress towards ambitious global targets to | reduce species loss and restore ecosystems. The recent | development of cheap and robust acoustic recording devices | offers a cost-effective means of gathering standardised

关键词： acoustic indices | bias | bioacoustics | biodiversity | ecoacoustics | monitoring | passive acoustics

4. Algebraic hierarchical locally recoverable codes with nested affine subspace recovery NSTL国家科技图书文献中心

Kathryn Haymaker | Beth Malmskog ... - 《Designs,codes and crytography》 - 2025,93(1) - 111～132 - 共22页

摘要：Codes with locality, also known as locally | recoverable codes, allow for recovery of erasures using | proper subsets of other coordinates. These subsets are | typically of small cardinality to promote recovery using | limited network traffic and other resources

关键词： Locality | Hierarchy | Availability | Fiber product codes | Reed-Muller codes

5. Triangulations of Prisms and Preprojective Algebras of Type A NSTL国家科技图书文献中心

Iyama, Osamu | Williams, Nicholas J... - 《International mathematics research notices: IMRN》 - 2024,2024(13) - 10236～10254 - 共19页

摘要：We show that isomorphism classes of | indecomposable $tau $-rigid pairs over $Pi _{n}$, the | preprojective algebra of $A_{n}$, are in bijection with | internal $n$-simplices in the prism $Delta _{n} times | Delta _{1}$, the product of an $n$-simplex with a 1

关键词： CLUSTER ALGEBRAS | QUIVER VARIETIES | ARC DIAGRAMS | MODULES | CATEGORIES

6. Green correspondence on centric Mackey functors over fusion systems NSTL国家科技图书文献中心

Bova, Marco Praderio - 《Journal of Algebra》 - 2024,638 - 279～357 - 共79页

摘要：In this paper we give a definition of (centric | ) Mackey functor over a fusion system (Definitions 2.26 | and 2.29) which generalizes the notion of Mackey | functor over a group. In this context we prove that | , given some conditions on a related ring, the centric

关键词： Fusion systems | Mackey functors | Green correspondence | DECOMPOSITION

7. The cyclic open-closed map, u-connections and R-matrices NSTL国家科技图书文献中心

Hugtenburg, Kai - 《Selecta mathematica》 - 2024,30(2) - ARTN 29～ - 共90页

摘要：This paper considers the (negative) cyclic | open-closed map OC-documentclass[12pt]{minimal | } usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts | } usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs | } usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin

关键词： 53D45 | 14N35 | 53D37 | MANIFOLDS | COHOMOLOGY | FORMS

8. Uniquely Realisable Graphs in Analytic Normed Planes NSTL国家科技图书文献中心

Dewar, Sean | Hewetson, John ... - 《International mathematics research notices: IMRN》 - 2024,2024(17) - 12269～12302 - 共34页

摘要：A framework $(G,p)$ in Euclidean space $mathbb | {E}{d}$ is globally rigid if it is the unique | realisation, up to rigid congruences, of $G$ with the edge | lengths of $(G,p)$. Building on key results of | Hendrickson [] and Connelly [], Jackson and Jord & aacute;n

关键词： INFINITESIMAL RIGIDITY | FRAMEWORKS | CONNECTIVITY | MATROIDS | CIRCUITS

9. Detection of Emergent Anomalous Structure in Functional Data NSTL国家科技图书文献中心

Austin, Edward | Eckley, Idris A.... - 《Technometrics》 - 2024,66(4) - 614～624 - 共11页

摘要：Motivated by an example arising from digital | networks, we propose a novel approach for detecting the | emergence of anomalies in functional data. In contrast to | classical functional data approaches, which detect | anomalies in completely observed curves, the proposed

关键词： Anomaly detection | Emergent anomaly | Functional Anomaly Sequential Test (FAST) | Functional data analysis | OUTLIER DETECTION | CONTROL CHARTS

10. THE PARABOLIC ALGEBRA REVISITED NSTL国家科技图书文献中心

Kastis, Eleftherios | Power, Stephen C. - 《Israel Journal of Mathematics》 - 2024,259(Pt.2) - 559～587 - 共29页

摘要：The parabolic algebra A(p) is the weakly | closed operator algebra on L-2(R) generated by the | unitary semigroup of right translations and the unitary | semigroup of multiplication by the analytic exponential | functions e(i lambda x), lambda >= 0. It is reflexive

摘要：If we take a (bar-joint) framework, prepare an | identical copy of this framework, translate it by some | vector tau documentclass[12pt]{minimal} usepackage | {amsmath} usepackage{wasysym} usepackage{amsfonts | } usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs

关键词： Bar-joint framework | Point-hyperplane framework | Symmetry | Infinitesimal rigidity | Finite motion | Mechanism

摘要：A bar-joint framework (G, p) is the | combination of a finite simple graph G = (V, E) and a | placement p : V - Rd. The framework is rigid if the only | edge-length preserving continuous motions of the | vertices arise from isometries of the space. Motivated by

关键词： Rigidity | Linearly constrained framework | Incidental symmetry | Symmetric framework | Recursive construction

摘要：Long-term biodiversity monitoring is needed to | track progress towards ambitious global targets to | reduce species loss and restore ecosystems. The recent | development of cheap and robust acoustic recording devices | offers a cost-effective means of gathering standardised

关键词： acoustic indices | bias | bioacoustics | biodiversity | ecoacoustics | monitoring | passive acoustics

摘要：Codes with locality, also known as locally | recoverable codes, allow for recovery of erasures using | proper subsets of other coordinates. These subsets are | typically of small cardinality to promote recovery using | limited network traffic and other resources

关键词： Locality | Hierarchy | Availability | Fiber product codes | Reed-Muller codes

摘要：We show that isomorphism classes of | indecomposable $tau $-rigid pairs over $Pi _{n}$, the | preprojective algebra of $A_{n}$, are in bijection with | internal $n$-simplices in the prism $Delta _{n} times | Delta _{1}$, the product of an $n$-simplex with a 1

关键词： CLUSTER ALGEBRAS | QUIVER VARIETIES | ARC DIAGRAMS | MODULES | CATEGORIES

摘要：In this paper we give a definition of (centric | ) Mackey functor over a fusion system (Definitions 2.26 | and 2.29) which generalizes the notion of Mackey | functor over a group. In this context we prove that | , given some conditions on a related ring, the centric

关键词： Fusion systems | Mackey functors | Green correspondence | DECOMPOSITION

摘要：This paper considers the (negative) cyclic | open-closed map OC-documentclass[12pt]{minimal | } usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts | } usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs | } usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin

关键词： 53D45 | 14N35 | 53D37 | MANIFOLDS | COHOMOLOGY | FORMS

摘要：A framework $(G,p)$ in Euclidean space $mathbb | {E}{d}$ is globally rigid if it is the unique | realisation, up to rigid congruences, of $G$ with the edge | lengths of $(G,p)$. Building on key results of | Hendrickson [] and Connelly [], Jackson and Jord & aacute;n

关键词： INFINITESIMAL RIGIDITY | FRAMEWORKS | CONNECTIVITY | MATROIDS | CIRCUITS

摘要：Motivated by an example arising from digital | networks, we propose a novel approach for detecting the | emergence of anomalies in functional data. In contrast to | classical functional data approaches, which detect | anomalies in completely observed curves, the proposed

关键词： Anomaly detection | Emergent anomaly | Functional Anomaly Sequential Test (FAST) | Functional data analysis | OUTLIER DETECTION | CONTROL CHARTS

摘要：The parabolic algebra A(p) is the weakly | closed operator algebra on L-2(R) generated by the | unitary semigroup of right translations and the unitary | semigroup of multiplication by the analytic exponential | functions e(i lambda x), lambda >= 0. It is reflexive

关键词： TRANSLATION | DILATION | DISTANCE

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