Hamilton 2004 Annual County Profile, 2004

County Profile

Jacobi Sadoleti Epistolarum appendix. Accedunt Hieronymi Nigri et Pauli Sadoleti vitae [V. A. Constantio auctore] ac rariora monumenta, quibus historia saeculi XVI. in iisdem epistolis comprehensa... illustratur

Comprend : Epistolae et orationes

The Brauer group and the second Abel-Jacobi map for 0-cycles on algebraic varieties

This paper focuses on the connection between the Brauer group and the 0-cycles of an algebraic variety. We give an alternative construction of the second l-adic Abel-Jacobi map for such cycles, linked to the algebraic geometry of Severi-Brauer varieties on X. This allows us then to relate this Abel-Jacobi map to the standard pairing between 0-cycles and Brauer groups (see [M], [L]), completing results from [M] in this direction. Second, for surfaces, it allows us to present this map according to the more geometrical approach devised by M. Green in the framework of (arithmetic) mixed Hodge structures (see [G]). Needless to say, this paper owes much to the work of U. Jannsen and, especially, to his recently published older letter [J4] to B. Gross.

Reliure de : Epistolae apostolicae Pauli, Jacobi, Petri, Joannis, & Judae. Item Apocalypsis Joannis theologi . Athanasii judicium de adulte-rinis libris Sacrae Scripturae, Des. Erasmo interprete. Epistola Des. Erasmi, de philosophia evangelica

[Bible. N.T. (latin). 1523. Érasme]

Reliure de : De Romanorum militia et castrorum metatione liber... ex Polybii historiis per A. Janum Lascarem,... excerptus, et ab eodem latinitate donatus, ipso etiam graeco libro, ut omnia conferri possint... adjuncto. Ejusdem A. Jani Lascaris Epigrammata et graeca et latina... Item Jacobi, comitis Purliliarum de re militari lib. II. Ad aetatis nostrae bellandi rationem... necessarii. [Edidit Jo Oporinus.]

Numérisation partielle de reliure

Gauge transformations in the Lagrangian and Hamilton formalisms of generally covariant theories

We study spacetime diffeomorphisms in the Hamiltonian and Lagrangian formalisms of generally covariant systems. We show that the gauge group for such a system is characterized by having generators which are projectable under the Legendre map. The gauge group is found to be much larger than the original group of spacetime diffeomorphisms, since its generators must depend on the lapse function and shift vector of the spacetime metric in a given coordinate patch. Our results are generalizations of earlier results by Salisbury and Sundermeyer. They arise in a natural way from using the requirement of equivalence between Lagrangian and Hamiltonian formulations of the system, and they are new in that the symmetries are realized on the full set of phase space variables. The generators are displayed explicitly and are applied to the relativistic string and to general relativity.

A quantitative test of Hamilton's rule for the evolution of altruism.

The evolution of altruism is a fundamental and enduring puzzle in biology. In a seminal paper Hamilton showed that altruism can be selected for when rb - c > 0, where c is the fitness cost to the altruist, b is the fitness benefit to the beneficiary, and r is their genetic relatedness. While many studies have provided qualitative support for Hamilton's rule, quantitative tests have not yet been possible due to the difficulty of quantifying the costs and benefits of helping acts. Here we use a simulated system of foraging robots to experimentally manipulate the costs and benefits of helping and determine the conditions under which altruism evolves. By conducting experimental evolution over hundreds of generations of selection in populations with different c/b ratios, we show that Hamilton's rule always accurately predicts the minimum relatedness necessary for altruism to evolve. This high accuracy is remarkable given the presence of pleiotropic and epistatic effects as well as mutations with strong effects on behavior and fitness (effects not directly taken into account in Hamilton's original 1964 rule). In addition to providing the first quantitative test of Hamilton's rule in a system with a complex mapping between genotype and phenotype, these experiments demonstrate the wide applicability of kin selection theory.