Root system of singular perturbations of the harmonic oscillator type operators

We analyze perturbations of the harmonic oscillator type operators in a Hilbert space H, i.e. of the self-adjoint operator with simple positive eigenvalues μ k satisfying μ k+1 − μ k ≥ Δ > 0. Perturbations are considered in the sense of quadratic forms. Under a local subordination assumption, the eigenvalues of the perturbed operator become eventually simple and the root system contains a Riesz basis.

AN INVESTIGATION OF THE IMPACT OF CHILDREN WITH BIRTH DEFECTS ON STRESS IN THEIR FAMILIES

A child with a birth defect places physical, financial and emotional stress upon the family. The purpose of this study was to assess the impact of a mildly handicapped child on the family's coping abilities.^ Two groups, 101 mothers of children with birth defects and 107 mothers of intact children, completed the Holroyd Questionnaire on Resources and Stress and the Luborsky Social Assets Scale. From these groups, 86 pairs were matched on four factors: the age (two to eight years) and sex of the study child and the mother's education and marital status.^ The children with birth defects had completed the diagnostic evaluation at the Meyer Center for Developmental Pediatrics, Texas Children's Hospital. Children with severe defects were excluded. The mean I.Q of the group was 88, s.d. 17; 17 children were mildly retarded and 35 had an I.Q. of 100 or above; areas of dysfunction included motor abnormalities, behavior disturbance, speech problems, and sensory impairments.^ The expected direction and statistically significant differences were obtained from the data for the matched pairs on the Q.R.S. scales. The mothers of children with a birth defect reported poor health, a negative attitude toward the child, being over-protective, financial problems and feeling a lack of social support and family integration. They perceived the child as socially obtrusive, limited as to occupational opportunities, and as having a difficult personality.^ The functioning levels of the handicapped children contributed to the respondent's problems. The child with behavior and speech problems but adequate intelligence was a situation which resulted in a poor health/mood of the mother. The mother's pessimism was related to the child's low intelligence.^ The social assets of the respondents with intact children were significantly higher than those of respondents of handicapped children. There was no relationship between the total social assets score and the scores on the Q.R.S. for mothers of handicapped children. These mothers did report poorer physical conditions, more smoking, and quarreling of their parents as they grew up. ^

A selective phenomenology of the seismicity of Southern California.

Predictions of earthquakes that are based on observations of precursory seismicity cannot depend on the average properties of the seismicity, such as the Gutenberg-Richter (G-R) distribution. Instead it must depend on the fluctuations in seismicity. We summarize the observational data of the fluctuations of seismicity in space, in time, and in a coupled space-time regime over the past 60 yr in Southern California, to provide a basis for determining whether these fluctuations are correlated with the times and locations of future strong earthquakes in an appropriate time- and space-scale. The simple extrapolation of the G-R distribution must lead to an overestimate of the risk due to large earthquakes. There may be two classes of earthquakes: the small earthquakes that satisfy the G-R law and the larger and large ones. Most observations of fluctuations of seismicity are of the rate of occurrence of smaller earthquakes. Large earthquakes are observed to be preceded by significant quiescence on the faults on which they occur and by an intensification of activity at distance. It is likely that the fluctuations are due to the nature of fractures on individual faults of the network of faults. There are significant inhomogeneities on these faults, which we assume will have an important influence on the nature of self-organization of seismicity. The principal source of the inhomogeneity on the large scale is the influence of geometry--i.e., of the nonplanarity of faults and the system of faults.

[Notes from the minutes of the Board of Overseers, ca. 1799]

Small notebook containing handwritten entries of actions for the years 1718-1799 recorded in Volumes I-IV of the Harvard Board of Overseers formal meeting minutes. The entries note the appointment of Committees of inquiry and votes related to salary increases and allowances.

Essay on the French Revolution and the Napoleonic Wars,

This is a contemporary draft composition reviewing the course of the French Revolution and Napoleonic Wars. Tudor offers opinions on England’s diplomatic options after the renewal of hostilities and Prime Minister William Pitt the Younger: "His task is momentous and all Europe are watching his movements with anxiety." The document is signed "Marcus Valinus."

Report of the commissioners on secondary education.

Presented to Parliament by command of Her Majesty.

Histoire de Justinien

No title-page for pt. 2?

The violation of the neutrality of Belgium.

Preface by M. Paul Hymans.--Meeting of the Belgian parliament (4th August, 1914)--Proclamation by King Albert to the Belgian army (5th August, 1914)--Observations on Belgian neutrality.--Proclamation by the Belgian government at Ostend (13th October, 1914)--Correspondence of H.M. the King of Belgium and the Belgian government with the President of the French republic (12th-14th October, 1914)

The works of Sir William Temple, bart. : to which is prefixed, the life and character of the author, considerably enlarged.

--I. Life of the author. An essay on the original and nature of government. Observations upon the united provinces of the Netherlands. Letters containing an account of the most important transactions that passed in Christendom from 1665 to 1672.-II. Sequel of the author's letters, serving to supply the loss of the first part of his memoirs. A survey of the constitutions and interests of the empire, Sweden, Denmark, Spain, Holland, France, and Flanders in 1671. A letter to the Duke of Ormond, written in October 1673. Memoirs, pt. II--III.--III. [Essays] Poetry.--IV. Letters to the king, the Prince of Orange, &c. Index.

The Prince imperial,

"Works consulted": p. 390-392.

Journal of a tour on the north west coast of America in the year 1829, containing a description of a part of Oregon, California and the north west coast and the numbers, manners and customs of the native tribes,

"No. 64 of 150 copies printed. Also 10 copies printed on Japan vellum."

Charles the Tenth and Louis Philippe : the secres history of the revolution of July 1830.

Mode of access: Internet.

Rural oeconomy: or, Essays on the practical parts of husbandry. : Designed to explain several of the most important methods of conducting farms of various kinds; including many useful hints to gentlemen farmers relative to the œconomical management of their business ... : To which is added, The rural Socrates: being memoirs of a country philosopher. /

Verso of t.p. (p. [4] at front) blank.

Out of the past: (critical and literary papers)

Bryant's poems.--Jeremy Bentham and law reform.--Edward Livingston and his code.--Journalism.--John James Audubon.--Percy Bysshe Shelley.--The last half-century.--American authorship.--Alison's histories of Europe.--The "Works" of American statesmen.--Comte's philosophy.--Strauss's Life of Jesus.--The late Horace Binney Wallace.--Thackeray as novelist.--Goethe.--Ruskin's writings.--Causes of the French revolution.--Motley's Rise of the Dutch republic.--Emerson on England.