Suppose A, B, C, D, E, F are points and L is a line other than the line at infinity. This work examines cases in which a translation D′E′F ′ of DEF in the direction of L is perspective to ABC, in the sense that the lines AD′, BE′, CF ′ concur.

conclusions the hindi version of the abc scale demonstrated acceptable measurement properties, showing that abc-h can be used for assessing balance confidence in hindi-speaking, community-dwelling indian older adults. it can be an assessment tool either for clinical management or research. results the normative value of abc-h total score observed in the indian older population (n = 100) was 71%...

In recent years, our understanding of the functioning of ABC (ATP-binding cassette) systems has been boosted by the combination of biochemical and structural approaches. However, the origin and the distribution of ABC proteins among living organisms are difficult to understand in a phylogenetic perspective, because it is hard to discriminate orthology and paralogy, due to the existence of horiz...

In all kingdoms of life, ATP binding cassette (ABC) transporters are essential to many cellular functions. In this large superfamily of proteins, two catalytic sites hydrolyze ATP to power uphill substrate translocation. A central question in the field concerns the relationship between the two ATPase catalytic sites: Are the sites independent of one another? Are both needed for function? Do the...

Let $A$ be a Banach ternary algebra over a scalar field $Bbb R$ or $Bbb C$ and $X$ be a ternary Banach $A$--module. Let $sigma,tau$ and $xi$ be linear mappings on $A$, a linear mapping $D:(A,[~]_A)to (X,[~]_X)$ is called a Lie ternary $(sigma,tau,xi)$--derivation, if $$D([a,b,c])=[[D(a)bc]_X]_{(sigma,tau,xi)}-[[D(c)ba]_X]_{(sigma,tau,xi)}$$ for all $a,b,cin A$, where $[abc]_{(sigma,tau,xi)}=ata...