The axiomatic Wightman formulation for nonderivative conformal field theory is adopted to derive bootstrap equation the four point function. equivalence between PCT theorem and {\it weak local commutativity}, due Jost, play a very crucial role in theory. suitably desired equations CFT. We demonstrate that two functions are analytic continuation of each other.

Traditional analysis and usage of operation commutativity relies on pairwise commutativity relationships. In contrast, this paper presentsmethod group commutativity, which specifies the conditions under which operations in amethod group will commute. Method group commutativity can be practically applied to efficiently support distributed object caching and concurrency control. A formal definiti...

A concrete computation — twelve slidings with sixteen tiles — reveals that certain commutativity phenomena occur in every double semigroup. This can be seen as a sort of EckmannHilton argument, but it does not use units. The result implies in particular that all cancellative double semigroups and all inverse double semigroups are commutative. Stepping up one dimension, the result is used to pro...

Herpes simplex virus specifies two sets of transcripts from the UL24 gene, short transcripts (e.g., 1.4 kb), processed at the UL24 poly(A) site, and long transcripts (e.g., 5.6 kb), processed at the UL26 poly(A) site. The 1.4- and 5.6-kb transcripts initiate from the same promoter but are expressed with early and late kinetics, respectively. Measurements of transcript levels following actinomyc...

Fuglede-Putnam theorem is not true in general for $ EP operators on Hilbert spaces. We prove that under some conditions the holds good. If adjoint operation replaced by Moore-Penrose inverse theorem, we get type -- however proofs are totally different. Finally, interesting results have been proved using several versions of theorems

By using O(7, 7) transformations, to deform D6–branes, we obtain half-supersymmetric bound state solutions of type IIA supergravity, containing D6, D4, D2, D0, F1-branes and waves. We lift the solutions to M-theory which gives half-supersymmetric M-theory bound states, e.g. KK6–M5–M5–M5–M2–M2–M2–MW. We also take near horizon limits for the type IIA solutions, which gives supergravity duals of 7...

We prove that translation invariant multilinear operators of restricted weak type (1, 1, . . . , 1, q) must necessarily be of weak type (1, 1, . . . , 1, q). We give applications.