Bounds for Pure Direct Effect

Pure QCD Bounds and Estimates for Light Quark Masses

We consider bounds on light quark masses that follow from positivity of the pseudoscalar correlator spectral function plus the assumption that perturbative QCD is valid for the correlator and its derivatives up to order N for momenta t ≥ t̂. We find that the bounds vary a lot depending on the assumed value of t̂ and even, if it is too small (t̂ ≃ 1.5, 1.6, 2.1 GeV for respectively N = 0, 1, 2), th...

Direct Error Bounds for Symmetric Rbf Collocation

The standard error bounds for interpolation by kernels or radial basis functions are generalized to symmetric PDE collocation problems. This involves generalized Power Functions, and these can be explicitly calculated. Final error bounds then are a product of Power Function values and the norm of the solution in the native space of the kernel. Since the latter can also be estimated well, the wh...

Direct OT: Representation as Pure Markedness

This paper argues for a model of morphology and phonology in which phonological form is represented purely in terms of markedness rather than by strings of segments. The argument runs as follows: (i) underlying representations are prosodified; (ii) this makes them relatively ill-formed; (iii) so representations can be represented purely in terms of ill-formedness. Step (i) brings to its logical...

Some Lower Bounds for Estrada Index

Almost Optimal Bounds for Direct Product Threshold Theorem

We consider weakly-verifiable puzzles which are challenge-response puzzles such that the responder may not be able to verify for itself whether it answered the challenge correctly. We consider k-wise direct product of such puzzles, where now the responder has to solve k puzzles chosen independently in parallel. Canetti et al have earlier shown that such direct product puzzles have a hardness wh...