The theory presented in this paper differs from previous ones in that no arbitrary loop shape is assumed. Rather a strophoid curve, that is similar to knitted fabric Loop shape, has been assumed as the basic mathematical function. Additionally, the theory is improved by adapting buckled elastic rod theory, leading to a new equation from a certain mathematical curve. This loop model is assumed t...

statement of problem: t-loop is one of the most popular closing loops in orthodontic profession. however its activation is in the contrary to bouschinger effect theory, since the formed bends would be opened during activation. the purpose of this study was to add a helix in a way to be more respondent to the bouschinger effect theory. objectives: to compare the load deflection, maximal elastic ...

in this paper the problem of 3d scene and object classification from depth data is addressed. in contrast to high-dimensional feature-based representation, the depth data is described in a low dimensional space. in order to remedy the curse of dimensionality problem, the depth data is described by a sparse model over a learned dictionary. exploiting the algorithmic information theory, a new def...

the textit{commutativity degree}, $pr(g)$, of a finite group $g$ (i.e. the probability that two (randomly chosen) elements of $g$ commute with respect to its operation)) has been studied well by many authors. it is well-known that the best upper bound for $pr(g)$ is $frac{5}{8}$ for a finite non--abelian group $g$. in this paper, we will define the same concept for a finite non--abelian textit{...

Although LCL filters are used widely in the grid connected inverters to reduce high-orderharmonics, such a system increases system order and therefore sustainable design of closed-loopcontroller system will be complicated. Recently, the single-loop control strategy has beensuggested for L or LC filter based grid-connected inverters. However, the use of single-loopcontrol directly in LCL filter-...

the problem of pole assignment, also known as an eigenvalue assignment, in linear discrete-time periodic systems in discs was solved by a novel method which employs elementary similarity operations. the former methods tried to assign the points inside the unit circle while preserving the stability of the discrete time periodic system. nevertheless, now we can obtain the location of eigenvalues ...