Abstract We define generalised zeta functions associated with indefinite quadratic forms of signature $$(g-1,1)$$ (g-1,1) —and more generally, to complex symmetric matrices whose imaginary ...

Some hold that the lesson of Russell’s paradox and its relatives is that mathematical reality does not form a “definite totality” but rather is “indefinitely extensible”. There can always be more sets than there ever are. I argue that certain contact puzzles are analogous to Russell’s paradox this way: they similarly motivate a vision of physical reality as iteratively generated. In this pictur...

Korean has so-called indeterminate words (cf. Kuroda 1965) that can be used as either interrogatives or indefinites depending on the context. For instance, the indeterminate word nwukwu is ambiguous between an interrogative reading ‘who’ and an indefinite reading ‘someone’. Thus the sentence in (1) has three different interpretations: i) an assertion with an indefinite, ii) a yes-no question wi...

We obtain the expressions for sectional curvature, holomorphic sectional curvature, and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite Kaehler manifold. We discuss the boundedness of holomorphic sectional curvature of GCR-lightlike submanifolds of an indefinite complex space form. We establish a condition for a GCR-lightlike submanifold of an indefinite comple...

We study quantum field models in indefinite metric. We introduce the modified Wightman axioms of Morchio and Strocchi as a general framework of indefinite metric quantum field theory (QFT) and present concrete interacting relativistic models obtained by analytical continuation from some stochastic processes with Euclidean invariance. As a first step towards scattering theory in indefinite metri...

Haspelmath 1997 poses a challenge for current theories of indefinites. Extensive data from 40 languages show there are too many differences between indefinite pronoun series to account for with the usual machinery for indefinites. For instance, we can take Russian as an example: below are 4 main Russian indefinite pronoun series. There are at least 4 other series unlisted in (1), and Bylinina &...

In this paper, we study radical transversal lightlike submanifolds and screen slant radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds giving some non-trivial examples of these submanifolds. Integrability conditions of distributions D and RadTM on radical transversal lightlike submanifolds and screen slant radical transversal lightlike submanifolds of indefinite pa...

Depending on the context of use, the English determiner this can be either definite or indefinite (Prince 1981). On the one hand, it functions as a demonstrative determiner alongside that, and, on the other hand, it is a determiner for indefinite noun phrases alongside the simple indefinite article a (Perlman 1969, Prince 1981, Wald 1983, among others). This paper focuses on the latter use of t...

Kernel methods for data analysis are frequently considered to be restricted to positive definite kernels. In practice, however, indefinite kernels arise e.g. from problem-specific kernel construction or optimized similarity measures. We, therefore, present formal extensions of some kernel discriminant analysis methods which can be used with indefinite kernels. In particular these are the multi-...