Good Friday, and other poems.

Mode of access: Internet.

Lollingdon Downs and other poems, with sonnets,

Mode of access: Internet.

The street of to-day,

1st edition.

Melloney Holtspur /

A play.

Cymaprimadontidae: a new family of insectivores / John Clark --

v.16:no.8(1968)

Population dynamics of Leptomeryx / [by] John Clark -- and Thomas E. Guensburg --.

v.16:no.16(1970)

Rabb Family/Stop & Shop collection, 1912-1989.

The Rabinovitz/Rabb family arrived in Boston from Russia in the 1890s. Around 1914 they founded Economy Grocery Stores, which became Stop & Shop in 1946. In addition to building their grocery company into a successful business, the family is known for its philanthropy and active involvement in the Jewish community. The collection contains materials relating to the Rabb family and to the business operations of Stop & Shop until 1989. The materials in this collection include historical sketches, newspaper clippings, press releases, correspondence, memoranda, minutes, reports, advertisements, certificates, speeches, interviews, films, and photographs.

Spectral density of first order Piecewise linear systems excited by white noise

The Fokker-Planck (FP) equation is used to develop a general method for finding the spectral density for a class of randomly excited first order systems. This class consists of systems satisfying stochastic differential equations of form ẋ + f(x) = m/Ʃ/j = 1 h_j(x)n_j(t) where f and the h_j are piecewise linear functions (not necessarily continuous), and the n_j are stationary Gaussian white noise. For such systems, it is shown how the Laplace-transformed FP equation can be solved for the transformed transition probability density. By manipulation of the FP equation and its adjoint, a formula is derived for the transformed autocorrelation function in terms of the transformed transition density. From this, the spectral density is readily obtained. The method generalizes that of Caughey and Dienes, J. Appl. Phys., 32.11.

This method is applied to 4 subclasses: (1) m = 1, h₁ = const. (forcing function excitation); (2) m = 1, h₁ = f (parametric excitation); (3) m = 2, h₁ = const., h₂ = f, n₁ and n₂ correlated; (4) the same, uncorrelated. Many special cases, especially in subclass (1), are worked through to obtain explicit formulas for the spectral density, most of which have not been obtained before. Some results are graphed.

Dealing with parametrically excited first order systems leads to two complications. There is some controversy concerning the form of the FP equation involved (see Gray and Caughey, J. Math. Phys., 44.3); and the conditions which apply at irregular points, where the second order coefficient of the FP equation vanishes, are not obvious but require use of the mathematical theory of diffusion processes developed by Feller and others. These points are discussed in the first chapter, relevant results from various sources being summarized and applied. Also discussed is the steady-state density (the limit of the transition density as t → ∞).

Stability of parametrically excited differential equations

Sufficient stability criteria for classes of parametrically excited differential equations are developed and applied to example problems of a dynamical nature.

Stability requirements are presented in terms of 1) the modulus of the amplitude of the parametric terms, 2) the modulus of the integral of the parametric terms and 3) the modulus of the derivative of the parametric terms.

The methods employed to show stability are Liapunov’s Direct Method and the Gronwall Lemma. The type of stability is generally referred to as asymptotic stability in the sense of Liapunov.

The results indicate that if the equation of the system with the parametric terms set equal to zero exhibits stability and possesses bounded operators, then the system will be stable under sufficiently small modulus of the parametric terms or sufficiently small modulus of the integral of the parametric terms (high frequency). On the other hand, if the equation of the system exhibits individual stability for all values that the parameter assumes in the time interval, then the actual system will be stable under sufficiently small modulus of the derivative of the parametric terms (slowly varying).

The satire of Jonathan Swift /

"Three lectures delivered at Smith College in May, 1946."

The theatre in our times; a survey of the men, materials, and movements in the modern theatre

Mode of access: Internet.

Human relations in the theatre.

Mode of access: Internet.

ARTRIX final report,

"COO-1469-0067."

Thermal conductivity of one-dimensional lattices,

Mode of access: Internet.

System design for artrix graphical processor.

Mode of access: Internet.