This study concerns the two-body scattering of particles in a one-dimensional periodic potential. A convenient ansatz allows for separation center-of-mass and relative motion, leading to discrete Schr\"odinger equation motion that resembles tight-binding model. lattice Green's function is used develop Lippmann-Schwinger equation, ultimately derive multi-band K-matrix which described detail two-...

Tubulin is the major protein found in the membrane/periaxonemal matrix fraction of mature sea urchin embryonic cilia but its distribution and possible function during ciliary assembly are unknown. Hypertonic salt may be used to deciliate the embryos, allowing synchronous regrowth of cilia and subsequent deciliation of the regenerating embryos at various times. During the earliest stages of rege...

High performance liquid chromatography (HPLC) on a calcium form cation exchange column with refractive index and photodiode array detection was used to investigate thermal decomposition as the cause of the loss of crystalline structure in sucrose. Crystalline sucrose structure was removed using a standard differential scanning calorimetry (SDSC) method (fast heating method) and a quasi-isotherm...

A bar-joint framework (G,p) is the combination of a graph G and map p assigning positions, in some space, to vertices G. The rigid if every edge-length-preserving continuous motion arises from an isometry space. We will analyse rigidity when space (non-Euclidean) normed plane two designated are mapped same position. This non-genericity assumption leads us count matroid first introduced by Jacks...