This paper introduces orthogonal bandlet bases to approximate images having some geometrical regularity. These bandlet bases are computed by applying parameterized Alpert transform operators over an orthogonal wavelet basis. These bandletization operators depend upon a multiscale geometric flow that is adapted to the image, at each wavelet scale. This bandlet construction has a hierarchical str...

A common strategy for virtual screening considers a systematic docking of a large library of organic compounds into the target sites in protein receptors with promising leads selected based on favorable intermolecular interactions. Despite a continuous progress in the modeling of protein-ligand interactions for pharmaceutical design, important challenges still remain, thus the development of no...

The reactions of 1-aminoalkylphosphonic acids with bromine-water, chlorine-water and iodine-water were investigated. The formation of phosphoric(v) acid, as a result of a halogen-promoted cleavage of the Cα-P bond, accompanied by nitrogen release, was observed. The dephosphonylation of 1-aminoalkylphosphonic acids was found to occur quantitatively. In the reactions of 1-aminoalkylphosphonic aci...

The paper presents a geometrical model for protein secondary structure analysis which uses only the positions of the Cα-atoms. We construct a space curve connecting these positions by piecewise polynomial interpolation and describe the folding of the protein backbone by a succession of screw motions linking the Frenet frames at consecutive Cα-positions. Using the ASTRAL subset of the SCOPe data...

Much more is known about cε(a, b), but this simple-to-prove upper bound suggests the proper formulation of the Euclidean’s (worst case) optimality among its peers—algorithms from rem: Conjecture. If an algorithm α computes gcd(x, y) from rem with time complexity cα(x, y), then there is a rational number r > 0 such that for infinitely many pairs a > b > 1, cα(a, b) > r log2 a. Our main aim here ...

The regulation of the ubiquitously expressed protein phosphatase 2A (PP2A) is essential for various cellular functions such as cell proliferation, transformation, and fate determination. In this study, we demonstrate that the highly conserved protein in mammals, designated FAM122A, directly interacts with PP2A-Aα and B55α rather than B56α subunits, and inhibits the phosphatase activity of PP2A-...

(2) ‖Hα(f1, f2)‖p ≤ Cα,p1,p2‖f1‖p1‖f2‖p2 with constants Cα,p1,p2 depending only on α, p1, p2 and p := p1p2 p1+p2 hold. The first result of this type is proved in [4], and the purpose of the current paper is to extend the range of exponents p1 and p2 for which (2) is known. In particular, the case p1 = 2, p2 = ∞ is solved to the affirmative. This was originally considered to be the most natural ...

In engineering practice, unsaturated compacted loess is often utilized as a filling material in the regions. The inevitably undergoes one-dimensional compressibility and creep deformation due to long-term effects of upper soil layers buildings. When large enough, it tends damage buildings threaten safety. this regard, properties based on incremental loading (IL) constant rate strain (CRS) metho...

We construct a model in which for all 1 ≤ n < ω, there is no stationary subset of אn+1 ∩ cof(אn) which carries a partial square. Let κ be an uncountable cardinal and let μ ≤ κ be regular. A set A ⊆ κ∩cof(μ) is said to carry a partial square if there exists a sequence ⟨cα : α ∈ A⟩ such that each cα is club in α with order type μ, and for all γ which is a common limit point of cα and cβ , cα ∩ γ ...