We extend Henry Poincarés normal form theory for autonomous differential equations x=f(x) to nonautonomous differential equations x=f(t, x). Poincarés nonresonance condition λj−∑ni=1 ℓiλi≠0 for eigenvalues is gener...

We compute the Nike Air Max 2011 Womens number of rhombus tilings of a hexagon with side lengths N, M,N , N, M, N, with N and M having the same parity, which contain a particular rhombus next to the center of the hexagon. The special ca...

Alzheimer's disease of early onset versus that of late onset represent different syndromes, with distinct neuropathologies. Patients with early onset disease exhibit a more severe and more widespread loss of neurons from cortical and su...

We characterise the set of all linear mappings on the algebra of all n × n matrices that preserve diagonalisable matrices. Our result is an extension of the famous Motzkin-Taussky's result on the simultaneous diagonalisability of a lin...

The spectrum of the night sky from 1.0 to 2.0 μ has been obtained, using a scanning spectrometer equipped with a PbS cell detector. The spectral slit width employed varies from 100 Å to 200 Å. It has been concluded, from a comparison...

We show that the nonemptiness problem for two-way automata with only one endmarker over unary alphabets is complete for nondeterministic logarithmic space. This should be contrasted with the corresponding problem for two-way Air Max The...

Conversion of fructose to glucose by intestine of guinea pigs involves chain fragmentation in what appears to be an obligatory step, while glucose does not share a similar fate during active transport.A new method for degrading glucose,...

The development of fracture mechanics test methods for the determination of delamination resistance or fracture toughness of fiber-reinforced, polymer–matrix composites is an active area of research. The emphasis in this review is on ...

A class of “absolutely continuous functions” ofnvariables is introduced. The absolute continuity implies continuity, weak differentiability with gradient inLn, differentiability almost everywhere, area, coarea and degree formulae. T...

Coccolithoviruses infect the marine coccolithophorid microalga Emiliania huxleyi. Here, we describe the genomes of four new coccolithoviruses isolated from UK coastal locations. Of particular interest, EhV-18 and EhV-145 encode serine p...