G. Breit's original paper of 1929 postulates the Breit equation as a correction to an earlier defective equation due to Eddington and Gaunt, containing a form of interaction suggested by Heisenberg and Pauli. We observe that manifestly covariant electromagnetic Two-Body Dirac equations previously obtained by us in the framework of Relativistic Constraint Mechanics reproduce the spectral results of the Breit equation but through an interaction structure that contains that of Eddington and Gaunt. By repeating for our equation the analysis that (...) Breit used to demonstrate the superiority of his equation to that of Eddington and Gaunt, we show that the historically unfamiliar interaction structures of Two-Body Dirac equations (in Breit-like form) are just what is needed to correct the covariant Eddington Gaunt equation without resorting to Breit's version of retardation. (shrink)

In lieu of an abstract, here is a brief excerpt of the content: Three Odes HORACE (Translated by Charles Martin) To Marcus Vipsanius Agrippa No fears, Agrippa: your exploits will be Saluted by a bard who will eclipse Homer in singing your command of ships, Your winning use of cavalry. It won’t be us. Gifts far surpassing mine Are to be found in Varius, who sings Achilles’ spleen, Ulysses’ wanderings At sea, or Pelops’ nasty line. Of loftiness, we have (...) a deficit, And so our Muse forbids us to pursue Praising your glory and our Caesar’s too, Lest, overwrought, we lessen it. Varius is fit to sing of Mars arrayed In armor, of Meriones in dust, Or of those gods that Diomedes thrust His lance through, with Athena’s aid. Ours, the wine bar and the local fray, The bachelorettes whose nails leave livid traces We later notice on their boyfriends’ faces And lightly sing of, in our way. (Odes i.6) arion 28.3 winter 2021 74 threee odes To Leuconoe Stop seeking what the gods prohibit us from apprehending, Leuconoe—the date on which it all comes to an ending. Better to toss the Dream Book and accept whatever comes, Whether Jove sends more winters, or the last we’ll know now drums The Tuscan Sea into submission on opposing cliffs. Be wise—decant this evening’s wine, curtail your hopeful ifs: Live in the moment: as we speak, now is becoming then; And insofar as possible, ignore tomorrow’s, “When….” (Odes i.11) To Iccius Iccius, are you hot for Arabian Loot now, devising tactics to subjugate The previously undefeated Kings of Sabaea? Forging new fetters For the ferocious Medes while previsioning Your oriental sex-slave, unguarded by The boyfriend whom you’ve slain in battle? What perfumed page from some royal palace, Whose father taught him Sinoform archery, Will be your Ganymede? Oh, deny falling Rivers the right to scale steep mountains, Tell us the Tiber can’t flow back upstream, When you—who were once so very promising, Rush to exchange your Works of Panaetius AND those Platonic scrolls you scoured bookstalls in search of—for Spanish armor! (Odes i.29)... (shrink)

Almost all representations have both distributed and localist aspects, depending upon what properties of the data are being considered. With noisy data, features represented in a localist way can be detected very efficiently, and in binary representations they can be counted more efficiently than those represented in a distributed way. Brains operate in noisy environments, so the localist representation of behaviourally important events is advantageous, and fits what has been found experimentally. Distributed representations require more neurons to perform as efficiently, (...) but they do have greater versatility. (shrink)

Statistical regularities of the environment are important for learning, memory, intelligence, inductive inference, and in fact, for any area of cognitive science where an information-processing brain promotes survival by exploiting them. This has been recognised by many of those interested in cognitive function, starting with Helmholtz, Mach, and Pearson, and continuing through Craik, Tolman, Attneave, and Brunswik. In the current era, many of us have begun to show how neural mechanisms exploit the regular statistical properties of natural images. Shepard proposed (...) that the apparent trajectory of an object when seen successively at two positions results from internalising the rules of kinematic geometry, and although kinematic geometry is not statistical in nature, this is clearly a related idea. Here it is argued that Shepard's term, “internalisation,” is insufficient because it is also necessary to derive an advantage from the process. Having mechanisms selectively sensitive to the spatio-temporal patterns of excitation commonly experienced when viewing moving objects would facilitate the detection, interpolation, and extrapolation of such motions, and might explain the twisting motions that are experienced. Although Shepard's explanation in terms of Chasles' rule seems doubtful, his theory and experiments illustrate that local twisting motions are needed for the analysis of moving objects and provoke thoughts about how they might be detected. Key Words: Chasles' rule; evolution; geometry; perception; redundancy; statistics; twisting. (shrink)

FIRST MERTTENS LECTURE ON WAR AND PEACE JUSTICE AMONG NATIONS BY HORACE G. ALEXANDER, M. A. LECTURER ON INTERNATIONAL LAW AND POLITICS AT WOODBROOKE, SBLLY OAK, ...

CHAPTER I THE REVOLT AGAINST REASON AND CONSCIENCE To MANY observers of the strange and discouraging developments of the past quarter-century, ...

TAKING THE NAME OF SCIENCE IN VAIN CHAPTER I THE MEANING OF LIFE AND ITS VALUES 1. THE ROOT CAUSE OF THE PRESENT DISCONTENTS He in whose honor these ...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain (...) in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

Prediction, like filling-in, is an example of pattern completion and both are likely to involve processes of statistical inference. Furthermore, there is no incompatibility between inference and neural filling-in, for the neural processes may be mediating the inferential processes. The usefulness of the “bridge locus” is defended, and it is also suggested that the interpersonal level needs to be included when considering subjective experience.

Ethical mysticism, by S. Coit.--The ethical import of history, by D. S. Muzzey.--The tragic and heroic in life, by W. M. Salter.--Distinctive features of the ethical movement, by A. W. Martin.--Ethical experience as the basis of religious education, by H. Neumann.--"All men are created equal," by G. E. O'Dell.--How far is art an aid to religion? by P. Chubb.--Evolution and the uniqueness of man, by H. J. Bridges.--The spiritual outlook on life, by H. J. Golding.--The ethics of Abu'l Ala al (...) Ma'arri, by N. Schmidt.--Life's unused moral force, by H. Snell.--Is the ideal real? by G. A. Smith.--Some ethical tendencies in the professions, by R. D. Kohn.--On the art of living, by W. Boerner.--The relation of the ethical ideal to social reform, by J. L. Elliott.--Concerning tolerance, by R. F. Dewey.--Ethical culture in Germany after the war, by R. Penzig.--A confession of faith, by S. B. Weston.--"Hearing the witnesses," by J. Gutmann. (shrink)

A reprint of the New American Library edition of 1970.

A REFERENCE UUH FOR Llb^nv, J'-t ONLY Operations Research With Special Reference to Non-Military Applications A Comprehensive Scientific Aid to Executive Decisions OPERATIONS Research (or, as the British say, Operational Research) is ...

This book champions teacher care and concern for students as the driving force for change, exposing the causes and chronicling the effects of educational malfeasance.