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Full-Text Articles in Physical Sciences and Mathematics

Dipole Moments In Thomas-Fermi-Dirac And Thomas-Fermi Theories., Jerry Goodisman Sep 1972

Dipole Moments In Thomas-Fermi-Dirac And Thomas-Fermi Theories., Jerry Goodisman

Chemistry - All Scholarship

It is shown that the electronic contribution to the dipole moment, calculated from a solution to the Thomas—Fermi—Dirac or Thomas—Fermi equations, should be equal and opposite to the nuclear contribution. Thus, the Thomas—Fermi—Dirac and Thomas—Fermi theories predict vanishing dipole moments for all molecular systems.


Generalized Finite-Geometry Codes, Carlos R.P. Hartmann, Luther D. Rudolph Apr 1972

Generalized Finite-Geometry Codes, Carlos R.P. Hartmann, Luther D. Rudolph

Electrical Engineering and Computer Science - Technical Reports

A technique is presented for constructing cyclic codes that retain many of the combinatorial properties of finite-geometry codes, but are often superior to geometry codes. It is shown that L-step orthogonalization is applicable to certain subclasses of these codes.


Decoding By Sequential Code Reduction, Luther D. Rudolph, Carlos R.P. Hartmann Mar 1972

Decoding By Sequential Code Reduction, Luther D. Rudolph, Carlos R.P. Hartmann

Electrical Engineering and Computer Science - Technical Reports

A general decoding method for cyclic codes is presented which gives promise of substantially reducing the complexity of decoders at the cost of a modest increase in decoding time (or delay). Significant reductions in decoder complexity for binary cyclic finite-geometry codes are demonstrated, and two decoding options for the Golay code are presented.


Some Results On The Best Match Problem, Luther D. Rudolph, Kishan Mehrotra, Ralph J. Longobardi Feb 1972

Some Results On The Best Match Problem, Luther D. Rudolph, Kishan Mehrotra, Ralph J. Longobardi

Electrical Engineering and Computer Science - Technical Reports

The "best-match problem" is concerned with the complexity of finding the best match between a randomly chosen query word and the members of a randomly chosen set of data words. Of principal interest is whether it is possible to significantly reduce the search time required, as compared to exhaustive comparison, by use of memory redundancy (file structure). Minskv and Papert conjecture that "the speed-up values of large memory redundancies is very small, and for large data sets with long word lengths there are no practical alternatives to large searches that inspect large parts of memory". For this report we present …


The Interpretation Of Lanthanide-Induced Shifts In 1h Nuclear Magnetic Resonance Spectra, Jerry Goodisman, R. S. Matthews Jan 1972

The Interpretation Of Lanthanide-Induced Shifts In 1h Nuclear Magnetic Resonance Spectra, Jerry Goodisman, R. S. Matthews

Chemistry - All Scholarship

Owing to the present accuracy of the data and various other factors, it is easy to obtain agreement with experimental results for lanthanide-induced shifts in 1H n.m.r. spectra; some considerations in the formulation of such models which have been ignored previously are discussed.