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Showing 1 to 20 of 227 for “"Derivations"”.
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Derivations on operator algebras
… on domain properties of closed (unbounded) derivations on C*- algebras. The focus is on Section 4: Domain Properties where a combination of topological and algebraic conditions for certain results are illustrated. Various earlier results are incorporated into the proofs of Section 4. Section …
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Derivations of Function Algebras
Made available in DSpace on 2014-12-11T18:23:30Z (GMT). No. of bitstreams: 1 7105090.pdf: 1480233 bytes, checksum: 7c8f95ce9514156ee87f2b2aa136e6af (MD5) Previous issue date: 1970
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The replay of program derivations
… can modify specifications and then replay the derivations to obtain new implementations.
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Derivations on o-minimal fields
… be the theory of $K$. In this thesis, we study derivations $\der$ on $K$. We require that these derivations be compatible with the $\mathcal{C}^1$-functions definable in $K$. For example, if $K$ defines an exponential function, then we require that $\der\exp(a) = \exp(a)\der a$ for all $a \in …
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Ternary derivations of triangular algebras
Ternary derivations extend the concept of derivations to triples of linear maps. In this thesis, we describe ternary derivations of triangular algebras. We use category theory to approach our study of ternary derivations, while also offering some straightforward computational proofs. Furthermore, …
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The linear limitations of syntactic derivations
… I argue, that many limitations of syntactic derivations are attributable to the way in which syntactic operations are cyclically interleaved with the component of the grammar that establishes word order. This finding has consequences for many phenomena, and for the architecture of grammar in …
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Lie derivations on rings of differential operators
Derivations on rings of differential operators are studied. In particular, we ask whether Lie derivations are forced to be associative derivations. This is established for the Weyl algebras, which provides the details of a theorem of A. Joseph. The ideas are extended to localizations of Weyl …
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Representable functionals and derivations on Banach quasi *-algebras
… One of them is certainly that of derivations and of the related automorphisms groups (for instance see \cite{AT2,Alb,Ant4,Bag8,Brat2}). Definitions of course must be adapted to the new situation and for this reason we introduce weak *-derivations and weak automorphisms in …
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The Person Case Constraint: Unconditional Interfaces and Faultless Derivations
This thesis advances a theoretical move toward a grammatical model devoid of interface conditions by proposing a novel feature-based structure-building mechanism. In the standardly assumed architecture of grammar, ungrammaticality is often explained in terms of a violation of some condition on an …
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Transformation of leftmost derivations in cooperating distributed grammar systems
Cooperating distributed grammar systems allow the generation of non-context-free languages by having multiple context-free grammars derive terminal words in a concurrent way. New transformations of cooperating distributed grammar systems between various leftmost restrictions under the terminal mode …
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Green's function derivations for specific acoustic admittances and impedances
… not provide this intuition. This thesis explores derivations of time-domain functions and provides improved intuition into these solutions.
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Jordan homomorphisms and derivations on algebras of measurable operators
A few decades ago, Kaplansky raised the question whether unital linear invertibility preserving maps between unital algebras are Jordan homomorphisms. This question is still unanswered, and the progress that has been made has mainly been in the context of Banach algebras, including C*-algebras and …
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Microscopic derivations of relativistic hydrodynamic theories in general matching conditions
Não tem resumo em português
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Model Theory of Differentially Closed Fields With Several Commuting Derivations
… of characteristic zero with several commuting derivations. The questions we consider belong to the area of geometric stability theory. First we observe that the only known lower bound for the Lascar rank of types in differentially closed fields, announced in a paper of McGrail, is false. This …
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Improved Constraint Mode Tire Model with Analytical Derivations and Numerical Approximations
Tires are of particular significance in vehicle studies, as they are the interface between the vehicle and the terrain. They are responsible for the load generation in vehicle handling, dynamics, vehicle-terrain interactions, hydroplaning, etc. Numerous studies have been conducted in the field of …
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Novel Derivations of the Metric from the Newtonian Potential and of the Relativistic Quantum Equation
I derive the general relativistic metric in terms of Newtonian potentials. The result simplifies addition of metrics. Metric operations are derived. I further hypothesize that the symmetric metric could represent an electromagnetic field as well as a gravitational field. I unify the two fields of …
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Octonions and the Exceptional Lie Algebra g_2
… of Type G". We prove that the algebra of derivations on the octonions is a Lie algebra of type G_2. The proof proceeds by showing the set of derivations on the octonions is a Lie algebra, has dimension fourteen, and is semisimple. Next, we complexify the algebra of derivations on the …
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Acquiring minimalist grammars via constraint satisfaction
… lexicon that produces a specified set of MG derivations. This thesis introduces a mathematical structure, a Collection of Constraints, that captures the logical constraints, including those that arise as a consequence of the shortest move constraint, imposed upon the syntactic features of …
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Differential identities and almost polynomial growth. Star algebras and cocharacters.
… on the polynomial identities of algebras with derivations and of algebras with involution. First, we study in detail the differential polynomial identities of the algebra of $2\times 2$ upper triangular matrices over a field of characteristic zero when two distinct Lie algebras of derivations …
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On hochschild cohomology and modular representation theory
… Hochschild cohomology represented by integrable derivations. Further results in this aspect include an example showing that the p-power map cannot generally be expressed in terms of the BV operator. We also study some properties of r-integrable derivations and we provide a family of examples …
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