A narrative of the controversy between the Rev. Jedidiah Morse, D.D. and the author /

Includes Some notice of the remarks on S. Higginson, Jun. contained in Dr. Morse's appeal to the publick, signed Stephen Higginson, Jun. and bound with a Review of Dr. Morse's "Appeal to the publick", principally with reference to that part of it which relates to Harvard College, by a friend of that college, signed An alumnus of Harvard.

Titi Livii Patavini Historiarum : libri quinque priores : ad optimas editiones castigati, paucis notis adjectis.

Mode of access: Internet.

Secretary's Report

Mode of access: Internet.

First class of women to graduate from West Point

General note: Title and date provided by Bettye Lane.

First class of women to graduate from West Point

General note: Title and date provided by Bettye Lane.

First class of women to enter West Point

General note: Title and date provided by Bettye Lane.

First class of women at West Point

General note: Title and date provided by Bettye Lane.

First class of women to enter West Point

General note: Title and date provided by Bettye Lane.

First class of women to graduate from West Point

General note: Title and date provided by Bettye Lane.

First class of women to enter the military academy at West Point

General note: Title and date provided by Bettye Lane.

An Extension of the Invariance Principle for a Class of Differential Equations with Finite Delay

An extension of the uniform invariance principle for ordinary differential equations with finite delay is developed. The uniform invariance principle allows the derivative of the auxiliary scalar function V to be positive in some bounded sets of the state space while the classical invariance principle assumes that. V <= 0. As a consequence, the uniform invariance principle can deal with a larger class of problems. The main difficulty to prove an invariance principle for functional differential equations is the fact that flows are defined on an infinite dimensional space and, in such spaces, bounded solutions may not be precompact. This difficulty is overcome by imposing the vector field taking bounded sets into bounded sets.

UNIQUENESS AND NONUNIQUENESS RESULTS FOR A CERTAIN CLASS OF ALMOST PERIODIC DISTRIBUTIONS

We consider distributions u is an element of S'(R) of the form u(t) = Sigma(n is an element of N) a(n)e(i lambda nt), where (a(n))(n is an element of N) subset of C and Lambda = (lambda n)(n is an element of N) subset of R have the following properties: (a(n))(n is an element of N) is an element of s', that is, there is a q is an element of N such that (n(-q) a(n))(n is an element of N) is an element of l(1); for the real sequence., there are n(0) is an element of N, C > 0, and alpha > 0 such that n >= n(0) double right arrow vertical bar lambda(n)vertical bar >= Cn(alpha). Let I(epsilon) subset of R be an interval of length epsilon. We prove that for given Lambda, (1) if Lambda = O(n(alpha)) with alpha < 1, then there exists epsilon > 0 such that u vertical bar I(epsilon) = 0 double right arrow u 0; (2) if Lambda = O(n) is uniformly discrete, then there exists epsilon > 0 such that u vertical bar I(epsilon) = 0 double right arrow u 0; (3) if alpha > 1 and. is uniformly discrete, then for all epsilon > 0, u vertical bar I(epsilon) = 0 double right arrow u = 0. Since distributions of the above mentioned form are very common in engineering, as in the case of the modeling of ocean waves, signal processing, and vibrations of beams, plates, and shells, those uniqueness and nonuniqueness results have important consequences for identification problems in the applied sciences. We show an identification method and close this article with a simple example to show that the recovery of geometrical imperfections in a cylindrical shell is possible from a measurement of its dynamics.