Physical Sciences and Mathematics Commons^™

Continuous Smoothing With Polynomial Weighting, William F. Trench

William F. Trench

No abstract provided.

New Phylogenies Of The Lower Organisms: Possible Relation To Organic Deposits In Precambrian Sediment, Lynn Margulis

Lynn Margulis (1938 - 2011)

Classical phylogenies of the lower organisms are based on assumptions recently claimed to be erroneous. Alternative assumptions, more consistent with modern genetic and biochemical data, lead to the construction of new phylogenies. The new phylogenies (one for prokaryote organisms and one for eukaryotes) based on the symbiotic theory of the origin of eukaryotic organelles predict the nature and sequence of organic deposits on the Precambrian earth. Even if incorrect, these phylogenies present a modern framework upon which to compare the many recent reports of organic remains in sediment.

Molecular Orbital Study Of Internal Rotation, Mark S. Gordon

Mark S. Gordon

The CND0/2 molecular orbital method is used to predict and explain the barriers to internal rotation in a number of molecules. The observed 3: 2: 1 ratio of the barriers in ethane, methylamine, and methyl alcohol is approximately reproduced as are most trends in the barriers of fluoro-substituted propenes; however, the calculated trends for fluoro-substituted ethanes are incorrect. The barriers in H202, F202, N2H4, N2F4, and NH20H and the effect of geometry optimization on these barriers are also discussed. The major source of the barriers in the first group of molecules is predicted to be due primarily to nonbonded interactions …

Paul Feyerabend, Against Method (Typoscript 1969), Rudolf Kaehr

Rudolf Kaehr

Facsimile of Paul Feyerabend's AGAINST METHOD Original typoscript of Against Methods from 1968 with handwritten corrections. Last sentence, p. 116: "We must take care that it does not lose its ability to make such a choice."

Computation Of Synthetic Spectra For A Semi-Infinite Atmosphere, A. Uesugi, William M. Irvine

William M. Irvine

No abstract provided.

A Class Of Linear Transformations Which Can Be Written As The Product Of Projections, John B. Hawkins, William J. Kammerer

John B. Hawkins

No abstract provided.

Nuclear-Structure Studies Of The Chromium Isotopes: The Cr50(P,P')Cr50 And Cr50(D,P)Cr51 Reactions, Stephen J. Mecca

Stephen J. Mecca

The Cr⁵⁰(p,p’)Cr50 and Cr⁵⁰(d,p)Cr⁵¹ reactions have been studied using 7.5-MeV protons and deuterons from the MIT-ONR electrostatic generator and the MIT multiple-gap spectrograph to analyze reaction protons. Fifteen levels in Cr⁵⁰ up to an excitation energy of 3.929 MeV and 156 levels in Cr⁵¹ up to an excitation energy of 7.931 MeV were observed. The ground-state Q value for the (d,p) reaction was measured as 7.041±0.006 MeV. A zero-range, distorted-wave Born-approximation (DWBA) analysis was used to obtain values for the orbital angular momentum of the transferred neutrons …

A Molecular Orbital Study Of The Isomerization Mechanism Of Diazacumulenes, Mark S. Gordon, Herbert Fischer

Mark S. Gordon

Inversion barriers and geometries of AB3 molecules calculated using the INDO method3 are in satisfactory agreement with experiment. The diazacumulenes (11) with an even number of atoms are calculated to have a higher configurational stability than those with an odd number of atoms. cis-Diimide and cis-difluorodiimide should be more stable thermodynamically than the corresponding trans isomers. The configurational stability of carbodiimide is predicted to be low (comparable to that of ammonia), the isomerization being a combination of rotation and inversion, However, difluorocarbodiimide should be stable enough to permit resolution.

Paul Feyerabend's Telegram, Rudolf Kaehr

Rudolf Kaehr

6-page telegram from Paul Feyerabend (London) to Rolf Kaehr (Westberlin) Telegram 1 I am ill. Please let the seminar continue in my absence. Inform Prof Landmann and Prof Huebner, cancel the hotel reservation and read the following final message to my class on tuesday 1pm: I am sorry that I cannot give what Telegram 2 would have been my last lecture to you. In this lecture I would have elaborated on Verons argument and would have tried to show that it also excludes consience, self expression, identification. Turning back to the empiricist methodology and demand for theoretical unification I would …

Approximate Self‐Consistent Molecular‐Orbital Theory. Vi. Indo Calculated Equilibrium Geometries, Mark S. Gordon, J. A. Pople

Mark S. Gordon

The INDO (intermediate neglect of differential overlap) self-consistent theory has been used to calculate equilibrium geometries for a series of small polyatomic molecules with one or two polyvalent atoms (carbon, nitrogen, or oxygen). The results are compared with experimental data where available.

Right Alternative Rings, Irvin Roy Hentzel

Irvin Roy Hentzel

No abstract provided.

Molecular Orbital Theory Of The Electronic Structure Of Organic Compounds. I. Substituent Effects And Dipole Moments, J. A. Pople, Mark S. Gordon

Mark S. Gordon

A recent approximate self-consistent molecular orbital theory (complete neglect of differential overlap or CNDO) is used to calculate charge distributions and electronic dipole moments of a series of simple organic molecules. The nuclear coordinates are chosen to correspond to a standard geometrical model. The calculated dipole moments are in reasonable agreement with experimental values in most cases and reproduce many of the observed trends. The associated charge distributions of dipolar molecules show widespread alternation of polarity in both saturated and unsaturated systems. These results suggest that charge alternation may be an intrinsic property of all inductive and mesomeric electronic displacements.

Resonance Absorption Of P-Benzosemiquinone In The Zeeman Region, Juana Vivó Acrivos

Juana Vivó Acrivos

No abstract provided.

Bounds On The Generating Functions Of Certain Smoothing Operations, William F. Trench

William F. Trench

No abstract provided.

Research In Methods Of Generating Liapunov Functions, William F. Trench, Ronald Drake, Edward Norman

William F. Trench

No abstract provided.

On The Stability Of Midpoint Smoothing With Legendre Polynomials, William F. Trench

William F. Trench

No abstract provided.

A Data Combination Method For Postflight Trajectory Analysis, William F. Trench

William F. Trench

No abstract provided.

Weighting Coefficients For The Prediction Of Stationary Time Series From The Finite Past, William F. Trench

William F. Trench

No abstract provided.

On The Inversion Of A Hilbert Type Matrix, William Trench, Perry Scheinok

William F. Trench

We consider the inversion of finite and infinite matrices related to Hilbert matrices.

Spin-Resonance Transitions Of Free Radicals In The Zeeman Region, Juana Vivó Acrivos

Juana Vivó Acrivos

No abstract provided.

Mathematics: An Introduction, Sidney F. Huttner

Sidney F. Huttner

Mathematics: An Introduction is a short book intended to introduce elementary school students to mathematical thinking. While this necessarily introduces some mathematics, the intent is to have student understand and practice a few concepts (sets and numbers) in order to gain an appreciation of and facility for mathematical reasoning.

The book was intended to support short, supplementary courses outside the normal school curriculum.

An Algorithm For The Inversion Of Finite Hankel Matrices, William Trench

William F. Trench

No abstract provided.

On The Extrapolation Of A Special Class Of Stationary Time Series, William F. Trench

William F. Trench

No abstract provided.

An Algorithm For The Inversion Of Finite Toeplitz Matrices, William F. Trench

William F. Trench

No abstract provided.

Deuteron Magnetic Dipole Disintegration By 180° Electron Scattering, Gerald Alvin Peterson, W C. Barber

Gerald Alvin Peterson

The magnetic dipole disintegration of the deuteron has been measured for excitation energies up to 16 MeV in the presence of relatively small electric multipole contributions by using a method of inelastic electron scattering at 180°. Electrons of initial energy 41.5 MeV were magnetically deflected before and after scattering so that those scattered at 180° entered a magnetic spectrometer set at 160° with respect to the incident beam. The experimental cross sections measured relative to elastic scattering from the proton are higher than predicted by the electrodisintegration theory of Jankus. The discrepancy may be an indication of mesonic exchange currents …

Application Of The Sideband Technique To Wide-Line Nmr Spectra, Juana Vivó Acrivos

Juana Vivó Acrivos

No abstract provided.

Laotian Agricultural Statistics, Joel Halpern

Joel M. Halpern

No abstract provided.

Government Statistics In Laos, Joel Halpern

Joel M. Halpern

No abstract provided.

Laotian Health Statistics, Joel Halpern

Joel M. Halpern

No abstract provided.

A General Class Of Discrete Time-Invariant Filters, William F. Trench

William F. Trench

No abstract provided.