For the determination of improved energy levels of ionic spectra of elements with large values of nuclear magnetic dipole moment (and eventually large values of nuclear quadrupole moments), it is necessary to determine the center of gravity of spectral lines from resolved hyperfine structure patterns appearing in highly resolved spectra. This is demonstrated on spectral lines of Ta II, Pr II an...

The (ordinary) Sachs–Wolfe effect relates primordial matter perturbations to the temperature variations δT/T in the cosmic microwave background radiation; δT/T can be observed in all directions around us. A standard but idealised model of this effect leads to an infinite set of moment-like equations: the integral of P (k) j2 ` (ky) with respect to k (0 < k < ∞) is equal to a given constant, C`,...

Let Y ( n , k ) denote the set of all words of length n over the alphabet { + 1, 11, having a kth order spectral-null at zero frequency. A subset of Y ’ ( n , k ) is a spectral-null code of length n and order k. Upper and lower bounds on the cardinality of 9 ( n , k ) are derived. In particular we prove that ( k 1) log, ( n / k ) I n log, l Y ( n , k)l I log, n ) for infinitely many values of n...

Let S(n, k) denote the set of all words of length n over the alphabet {+1,−1}, having a k-th order spectral-null at zero frequency. A subset of S(n, k) is a spectral-null code of length n and order k. Upper and lower bounds on the cardinality of S(n, k) are derived. In particular we prove that (k−1) log2(n/k) ≤ n−log2 |S(n, k)| ≤ O(2 log2 n) for infinitely many values of n. On the other hand we...

Time reversal and parity non-invariant interactions within an atom naturally give rise to an atomic permanent electric dipole moment (PEDM). For noble gas atoms, the size of such a PEDM scales as Z 2 and higher powers of Z depending on the actual manifestation of T non-invariance, most importantly a distribution of electric dipole moment within the nucleus (Schiff Moment) and a T-odd tensor int...

satellite imagery was used as a rapid and spatially explicit method to delineate crop residue cover and to estimate the use and intensity of conservation tillage. the potential of multispectral high-spatial resolution of worldview-2 local data was evaluated using 11 satellite spectral indices and linear spectral unmixing analysis (lsua). experimental plots were examined; residue cover was measu...

The integrated trispectrum (IT) as an alternative to the delay and multiply (D&L14) nonlinearity circuit is investigated. A spectral line detectionlestimation scheme that employs the IT is developed. The conventional IT estimate utilizing the Fourier transform for relating a time signal to its frequency-domain representation is shown to be a major mathematical foundation for this analysis. The ...