We have defined amino acids important for function of the Arabidopsis thaliana Hsp100/ClpB chaperone (AtHsp101) in acquired thermotolerance by isolating recessive, loss-of-function mutations and a novel semidominant, gain-of-function allele [hot1-4 (A499T)]. The hot1-4 allele is unusual in that it not only fails to develop thermotolerance to 45 degrees C after acclimation at 38 degrees C, but a...

Different questions lead to the same class of functions from natural integers to integers: those which have integral difference ratios, i.e. verifying f(a)− f(b) ≡ 0 (mod (a− b)) for all a > b. We characterize this class of functions via their representations as Newton series. This class, which obviously contains all polynomials with integral coefficients, also contains unexpected functions, fo...

In the present paper, we prove that if L is a nilpotent Lie algebra whose proper subalge- bras are all nilpotent of class at most n, then the class of L is at most bnd=(d 1)c, where b c denotes the integral part and d is the minimal number of generators of L.

We study optimal mass transport problems between two measures with respect to a non-traditional cost function, i.e. c which can attain the value \(+\infty \). define notion of c-compatibility and strong measures, prove that if there is finite-cost plan then must be c-compatible, in addition are strongly an concentrated on c-subgradient c-class function. This function so-called potential plan. g...

Let Card denote the class of infinite cardinals and Reg the class of infinite regular cardinals. The continuum function on regulars is the function κ 7→ 2, defined on Reg. This function C has the following two properties: α ≤ β → C(α) ≤ C(β) and α < cof (C(α)). Easton [2] showed that, assuming GCH, any function F : Reg → Card with these two properties (any “Easton function”) is the continuum fu...