CaltechTHESIS advisor: Monograph
https://feeds.library.caltech.edu/people/Bateman-H/combined_advisor.rss
A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenFri, 06 Sep 2024 18:49:16 -0700On the Dynamical Space-Times Which Contain a Conformal Euclidean 3-Space
https://resolver.caltech.edu/CaltechETD:etd-12072004-142200
Year: 1925
DOI: 10.7907/4RWV-4C94
No abstract.https://resolver.caltech.edu/CaltechETD:etd-12072004-142200Lagrangian Functions Which Determine a Symmetrical Tensor by Schrodinger's Rule
https://resolver.caltech.edu/CaltechETD:etd-02282005-140719
Year: 1928
DOI: 10.7907/EKPF-YT05
The choice of a Lagrangian function to be used in a variational principle may be limited by the condition that the tensor derived from it by Schrodingerâ€™s rule shall be symmetrical. To meet this condition the function must satisfy a certain set of partial differential equations. Particular and general solutions of these equations are found in various casesâ€”according as the function is restricted to depend (A) only on the components of a vector, (B) only on their first derivatives, or (C) on both; and according to the number of dimensions of the vector. Methods of obtaining such solutions, and of proving their independence or of finding the relations between them, are discussed.
https://resolver.caltech.edu/CaltechETD:etd-02282005-140719Part I. A Formal Expansion Theory for Functions of One or More Variables. Part II. The Number of Representations Function for Binary Quadratic Forms
https://resolver.caltech.edu/CaltechTHESIS:05292024-201308777
Year: 1938
DOI: 10.7907/k80p-sp52
No abstract.https://resolver.caltech.edu/CaltechTHESIS:05292024-201308777The Ground Roll Phenomenon of Applied Seismology
https://resolver.caltech.edu/CaltechTHESIS:12092020-212456873
Year: 1941
DOI: 10.7907/77xt-pm46
<p>Since the preceding series of investigations are of a somewhat different character than the one to follow, it is desirable at this point to summarize the results so far obtained:</p>
<p>1. Gravitational waves in a viscous incompressible medium are far too slow to account for the velocity of first arrival of the ground roll.</p>
<p>2. The importance of Bateman's secondary Rayleigh wave cannot be known without the solution of the complex problem of the partition of energy at the source of the Rayleigh waves.</p>
<p>3. The theory of the propagation of Love waves on the surface of a layered visco-elastic medium indicates the possibility of velocities less than the shear wave velocity obtained without viscosity. The rapid damping of very short waves is also indicated. The possibility of obtaining a damping of the order of the ground roll damping has been demonstrated.</p>
<p>4. An examination of seismic data on the velocity of the ground roll has indicated that the observations are not necessarily inconsistent with the theory of dispersion of Rayleigh waves in a layered elastic medium, but, that there may be other causes of the observed dispersion.</p>
<p>Certain anomalous ground roll velocity variation near Fresno; California is possibly explanable on the hypothesis of dispersion in a layered elastic medium. For small values of L/H, the velocity of the ground roll agrees roughly with the velocity of Rayleigh waves, but these same velocities are associated with an initial anomalous forward cycle of the particle motion. Theoretically thereis an inherent disadvantage in obtaining dispersion data on the ground roll by seismic means, because of the factor of possible resonance making the interpretation of the results difficult. The three component ground roll data suggest the possible co-existence of Love waves and Rayleigh waves.</p>https://resolver.caltech.edu/CaltechTHESIS:12092020-212456873Some Investigations in the Buckling of Thin Rods
https://resolver.caltech.edu/CaltechETD:etd-11182008-135603
Year: 1943
DOI: 10.7907/2G6H-SH82
The general case of a non-uniform, straight rod under varying axial load is investigated, and several methods of solution are indicated or described. The case of a uniform rod with constant axial load is investigated by means of its deflection curve, and the direct determination of the stability with general end restraints is made possible by the use of a graph. The correlation between the end fixities of a rod and its behavior as a beam is given.
https://resolver.caltech.edu/CaltechETD:etd-11182008-135603