We show that any q-query locally decodable code (LDC) gives a copy of l 1 with small distortion in the Banach space of q-linear forms on lNp1 ×· · ·× lNpq , provided 1/p1+ · · ·+1/pq ≤ 1 and where k, N , and the distortion are simple functions of the code parameters. We exhibit the copy of l 1 by constructing a basis for it directly from “smooth” LDC decoders. Based on this, we give alternative...

We suggest a new approach to obtain bounds on locally correctable and some locally testable binary linear codes, by arguing that these codes (or their subcodes) have coset leader graphs with high discrete Ricci curvature. The bounds we obtain for locally correctable codes are worse than the best known bounds obtained using quantum information theory, but are better than those obtained using oth...

The notion of generalized locally bounded $I$-topological vectorspaces is introduced. Some of their important properties arestudied. The relationship between this kind of spaces and thelocally bounded $I$-topological vector spaces introduced by Wu andFang [Boundedness and locally bounded fuzzy topological vectorspaces, Fuzzy Math. 5 (4) (1985) 87$-$94] is discussed. Moreover, wealso use the fam...

Let $p:Xlo B$ be a locally trivial principal G-bundle and $wt{p}:wt{X}lo B$ be a locally trivial principal $wt{G}$-bundle. In this paper, by using the structure of principal bundles according to transition functions, we show that $wt{G}$ is a covering group of $G$ if and only if $wt{X}$ is a covering space of $X$. Then we conclude that a topological space $X$ with non-simply connected universal...

Academic writing ability is an important goal that learners of English as a Second Language (ESL) or English as a Foreign Language (EFL) try to attain. While ESL students’ academic writings have been widely explored, owing to few studies investigating appraisal resources in EFL students’ argumentative writing, the gap still exists about EFL students’ academic writing. This study aimed to see ho...