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Null surfaces of null curves on 3-null cone
Physics Letters A, 2014Abstract The null surfaces of null curves on 3-null cone have the applications in the studying of horizon types. Via the pseudo-scalar product and Frenet equations, the differential geometry of null curves on 3-null cone is obtained. In the local sense, the curvature describes the contact of submanifolds with pseudo-spheres.
Jianguo Sun, Jianguo Sun, Donghe Pei
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On Null Subjects and Null Arguments
Canadian Journal of Linguistics/Revue canadienne de linguistique, 1993In the literature on Null Subject Languages (NSLs) since Rizzi (1982), the three properties that are commonly thought to be connected are (i) the richness of inflectional morphology, (ii) free subject inversion, and (iii) the COMP-trace effect. The connection between them is that if a language (e.g., Italian) has the option of having a null subject (NS)
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2012
This chapter introduces the notions of Γ-null and Γₙ-null sets, which are σ-ideals of subsets of a Banach space X. Γ-null set is key for the strongest known general Fréchet differentiability results in Banach spaces, whereas Γₙ-null set presents a new, more refined concept.
Joram Lindenstrauss +2 more
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This chapter introduces the notions of Γ-null and Γₙ-null sets, which are σ-ideals of subsets of a Banach space X. Γ-null set is key for the strongest known general Fréchet differentiability results in Banach spaces, whereas Γₙ-null set presents a new, more refined concept.
Joram Lindenstrauss +2 more
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Spectral-null codes and null spaces of Hadamard submatrices [PDF]
A code-word \((c_0,\dots,c_{n-1})\) over \(\{-1,+1\}\subseteq\mathbb{R}\) is said to have an \(r\)th order spectral null at zero frequency if \(\sum_{j=0}^{n-1}j^i\cdot c_j=0\) for \(i=0,\dots,{n-1}\). The author considers codes \({\mathcal C}(m,r)\) of length \(2^m\) over \(\{-1,+1\}\) whose codewords have an \(r\)th order spectral null at zero ...
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Aronszajn null and Gaussian null sets coincide
Israel Journal of Mathematics, 1999In the study of Gateaux differentiability of Lipschitz maps from separable Banach spaces into various types of spaces several authors have introduced notions of smallness for sets and have proved such functions are differentiable outside of an exceptional small set. The results of this type referenced in the present paper are: \textit{N.
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