Generalized higher-order differentiation

DOI10.1007/BF00052519zbMath0682.53018OpenAlexW2067551021MaRDI QIDQ1824210

Yanyan Li

Publication date: 1989

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00052519

zbMATH Keywords

jetscovariant differentiationderivative stringsdifferential strings

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Differential invariants (local theory), geometric objects (53A55)

Related Items (2)

Stochastic calculus, statistical asymptotics, Taylor strings and phyla ⋮ Finite-dimensional algebraic representations of the infinite phylon group

Cites Work

• Differentiation on manifolds without a connection
• Would Leibniz lie to you? (Three aspects of the affine connection)
• Likelihood and observed geometries
• Coordinate-free definition of structurally symmetric derivative strings
• Some remarks on tensor differentiation
• Differential strings: Basic theory
• Yokes and tensors derived from yokes
• Parametric statistical models and likelihood
• Invariants and likelihood ratio statistics
• Strings: mathematical theory and statistical examples
• Strings, tensorial combinants, and Bartlett adjustments
• Derivative strings: contravariant aspect
• Higher derivatives in geometry and physics
• Coordinate systems and Taylor series in statistics

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