We recast the soft $S$-matrices on celestial sphere as correlation functions of certain $2$-dimensional models topological defects. In pointing out double copy structure between photon and graviton cases, we arrive at a putative classical corresponding rederivation gauge invariance equivalence principle Ward identities theories.

We address the relationship between perception and spatial, working memory. Specifically, we argue that perceptual experience following the creation of a representation of target location affects it in a systematic way. We designed a motor task in which observers had to point to the initial or final position of a horizontally drifting target embedded in a vertically drifting background. The tar...

We consider the explicit solution to axisymmetric diffusion equation. recast in form of a Mellin inversion formula, and outline method compute formula for \(u(r,t)\) as series using Cauchy residue theorem. As consequence, we are able represent equation rapidly converging series. doi:10.1017/S1446181121000110

In recent years, the general binary quadratic programming (BQP) 7 model has been widely applied to solve a number of combinatorial optimiza8 tion problems. In this paper, we recast the maximum vertex weight clique 9 problem (MVWCP) into this model which is then solved by a Probabilistic 10 Tabu Search algorithm designed for the BQP. Experimental results on 80 chal11 lenging DIMACS-W and 40 BHOS...

We consider the Hamiltonian treatment of non-local theories and Ostrogradski’s formalism. This has recently also been discussed by Woodard (hep-th/0006207) and by Gomis, Kamimura and Llosa (hep-th/0006235). In our approach we recast the second class constraints into first class constraints and invoke the boundary Poisson bracket. PACS number(s): 02.70.Pt, 03.50.-z, 04.20.Fy, 11.10.Ef, 11.10.Lm,...

We investigate spherically symmetric equilibrium states of the Vlasov-Poisson system, relevant in galactic dynamics. We recast the equations into a regular three-dimensional system of autonomous first order ordinary differential equations on a region with compact closure. Based on a dynamical systems analysis we derive theorems that guarantee that the steady state solutions have finite mass and...

We consider portfolio optimization in futures markets. We model the entire futures price curve at once as a solution of a stochastic partial differential equation. The agents objective is to maximize her utility from the final wealth when investing in futures contracts. We study a class of futures price curve models which admit a finite-dimensional realization. Using this, we recast the portfol...

General relativity can be recast as a theory of connections by performing a canonical transformation on its phase space. In this form, its (kinematical) structure is closely related to that of Yang-Mills theory and topological field theories. Over the past few years, a variety of techniques have been developed to quantize all these theories non-perturbatively. These developments are summarized ...

For a child with multiple physical challenges, toileting has often been regarded as a nuisance, an interruption, an added burden. New thinking about health and disability, however, has recast toileting as a critical intervention and an opportunity to teach meaningful skills. These skills, happily, are within reach for nearly every child. Provided with the right environmental modifi cations and ...

In [DJL07] it was shown that if A is an affine hyperplane arrangement in Cn, then at most one of the L2–Betti numbers b i (C n \ A, id) is non–zero. In this note we prove an analogous statement for complements of complex affine hypersurfaces in general position at infinity. Furthermore, we recast and extend to this higher-dimensional setting results of [FLM09, LM06] about L2–Betti numbers of pl...