Early in the twenty-first century he proved two of Saffari's conjectures, the phase problem and the near orthogonality conjecture.
12.
A simple Fourier transform retrieves only the intensity information and so is insufficient for creating an image from the diffraction pattern due to the phase problem.
13.
A haplotype is the sequence of nucleotides in a chromosome . the haplotype phasing problem is focused on the nucleotides where the two homologous chromosomes differ.
14.
So a problem with set play and three tries, for example, is a five-phase problem ( since the actual solution is also a phase ).
15.
This Fourier transform relation also holds for two-dimensional far-field diffraction patterns ( also called Fraunhofer diffraction ) giving rise to a similar type of phase problem.
16.
One solution is to use a direct method to compute an initial guess, which is then used to construct a multi-phase problem where the constraint is prescribed.
17.
The absorbing atoms can be thought of as " detecting " the phase of the XSW; thus, this method overcomes the phase problem of X-ray crystallography.
18.
The one-phase Stefan problem corresponds to taking either ? 1 or ? 2 to be zero; it is a special case of the two-phase problem.
19.
A phase problem exists : In the absence of other information, one cannot tell the difference between contour lines indicating a peak " versus " contour lines indicating a trough.
20.
However, replacement of all methionines by selenomethionines is a widely used, recent technique in solving the phase problem during X-ray crystallographic structure determination of many proteins ( MAD-phasing ).
