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1. By the use of intervarietal chromosome substitution lines, the poor crossability with rye (S. cereale, 2n = 14) of the wheat (T. aestivum, 2n = 42) variety Hope was shown to be determined by chromosomes 5A and 5B. The genes Kr1 and Kr2, which are responsbile for poor crossability (Lein, 1943), are probably located on chromosomes 5B and 5A respectively.2. Crossability is actively inhibited by the dominant alleles, Kr1 and Kr2, of Hope and is apparently not enhanced by the recessive alleles, kr1 and kr2, of the readily crossable variety Chinese Spring.3. The inhibition of crossability with rye conferred evolutionary and agricultural advantage upon wheat by preventing the production of sterile wheat-rye hybrids which could be regarded as weeds generated from within the crop.

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In order to determine the modulation transfer functions (MTF's) for x-ray computed tomography (CT) scanners, a measurement must be performed to obtain either the point spread function (PSF) or the line spread function (LSF). Thereafter, the usual procedure is to interpolate between the measured points and to determine the Fourier transforms numerically in order to obtain the MTF. Since this must usually be done many times to evaluate various reconstruction kernels and scan modalities, the process is tedious. Fortunately, it can be greatly simplified by utilizing a mathematical function to describe the PSF or LSF. Measured data for five CT scanners indicates that the PSF can usually be described by a Gaussian function. Hence, the MTF can be written in a generalized form eliminating the necessity of performing Fourier transformations each time. The MTF is determined directly from a single performance characteristic related to the full width at half maximum. The accuracy of the approach is compared with detailed MTF calculations for five CT scanners and it is shown to agree favorably with this data.

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