Group US Army military portrait including Dr. William Levison (top row, third from left); Schofield Barracks, Hawaii Portraits Groups Men

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Therese Godshaw's nee Molling 70th birthday party at the Krakauer home; Boston Portraits Family

Left to right behind table: John Krakauer, Donald, Michael and Robert Godshaw (Children of Hal and Anne), Grandma Therese Godshaw nee Molling, Julius Pick (Grandfather of Robert, Michael and Donald). In front of table: Wendy and Gerry Godshaw (children of Kurt and Edith.

Aenny Catzenstein nee Gottschalk at her 80th birthday party with Patrick Matthiesen and Serge Donabedian; London.

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Family and guests at Aenny Catzenstein nee Gottschalk's 80th birthday party; London.

Dinner scene with Franz Mattheisen left, daughter Susan Mattheisen next to him, next daughter Maren Matthiesen, his wife Olga Matthiesen at the end of the table. Beatrice Durand is facing the camera

50th wedding anniversary party of Paul Goldschmidt and Ilse nee Molling; Laguna Hills, CA.

Left to right: Margot Molling, Ilse Molling, Adolf Molling, Paul Goldschmidt (husband of Ilse Molling)

50th wedding anniversary party of Paul Goldschmidt and Ilse nee Molling; Laguna Hills, California.

left to right: Margot Molling, Ilse Molling, Adolf Molling, Paul Goldschmidt (husband of Ilse Molling)

Portrait of the dancing school class of Therese Molling (second row third from right); Germany.

Mille Ottling ran the dancing school. Therese Molling's daughter Liesel (Elizabeth) Gottschalk and brother Hal attended the same school during the mid 1920s

Group US Army military portrait including Dr. William Levison (top row, third from left); Schofield Barracks, Hawaii Portraits Groups Men

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A Fredholm-type theory for third-kind linear integral equations

The third-kind linear integral equation Image where g(t) vanishes at a finite number of points in (a, b), is considered. In general, the Fredholm Alternative theory [[5.]] does not hold good for this type of integral equation. However, imposing certain conditions on g(t) and K(t, t′), the above integral equation was shown [[1.], 49–57] to obey a Fredholm-type theory, except for a certain class of kernels for which the question was left open. In this note a theory is presented for the equation under consideration with some additional assumptions on such kernels.

The transient response of certain third-ordernon-linear systems

In this paper a method of solving certain third-order non-linear systems by using themethod of ultraspherical polynomial approximation is proposed. By using the method of variation of parameters the third-order equation is reduced to three partial differential equations. Instead of being averaged over a cycle, the non-linear functions are expanded in ultraspherical polynomials and with only the constant term retained, the equations are solved. The results of the procedure are compared with the numerical solutions obtained on a digital computer. A degenerate third-order system is also considered and results obtained for the above system are compared with numerical results obtained on the digital computer. There is good agreement between the results obtained by the proposed method and the numerical solution obtained on digital computer.

When time ran out : Coming of age in the Third Reich 1925-1982

Memoir based on diaries kept by sculptor Zeller as a boy; Nazi periods in Berlin; primary and secondary school; pogrom (November 1938); emigration to England via Holland; visit to Berlin in 1982

The third logic: Adolf Hitler and abductive logic. A thesis in history of consciousness.

Ph.D. Thesis

Ultrafast Switching Time and Third Order Nonlinear Coefficients of Microwave Treated Single Walled Carbon Nanotube Suspensions

Microwave treated water soluble and amide functionalized single walled carbon nanotubes have been investigated using femtosecond degenerate pump-probe and nonlinear transmission experiments. The time resolved differential transmission using 75 femtosecond pulse with the central wavelength of 790 nm shows a bi-exponential ultrafast photo-bleaching with time constants of 160 fs (130 fs) and 920 fs (300 fs) for water soluble (amide functionalized) nanotubes. Open and closed aperture z-scans show saturation absorption and positive (negative) nonlinear refraction for water soluble (amide functionalized) nanotubes. Two photon absorption coefficient, beta(0) similar to 250 cm/GW (650 cm/GW) and nonlinear index, gamma similar to 15 cm(2)/pW (-30 cm(2)/pW) are obtained from the theoretical fit in the saturation limit to the data for two types of nanotubes.

Application of ultraspherical polynomials to forced oscillations of a third-order non-linear system

In this paper the method of ultraspherical polynomial approximation is applied to study the steady-state response in forced oscillations of a third-order non-linear system. The non-linear function is expanded in ultraspherical polynomials and the expansion is restricted to the linear term. The equation for the response curve is obtained by using the linearized equation and the results are presented graphically. The agreement between the approximate solution and the analog computer solution is satisfactory. The problem of stability is not dealt with in this paper.