Realistic and immersive simulations of land, sea, and sky are requisite to the military use of visual simulation for mission planning. Until recently, the simulation of natural environments has been limited first of all by the pixel resolution of visual displays. Visual simulation of those natural environments has also been limited by the scarcity of detailed and accurate physical descriptions of them. Our aim has been to change all that. To this end, many of us have labored in adjacent fields of psych- ogy, engineering, human factors, and computer science. Our efforts in these areas were occasioned by a single question: how distantly can fast-jet pilots discern the aspect angle of an opposing aircraft, in visual simulation? This question needs some ela- ration: it concerns fast jets, because those simulations involve the representation of high speeds over wide swaths of landscape. It concerns pilots, since they begin their careers with above-average acuity of vision, as a population. And it concerns aspect angle, which is as much as to say that the three-dimensional orientation of an opposing aircraft relative to one's own, as revealed by motion and solid form. v vi Preface The single question is by no means simple. It demands a criterion for eye-limiting resolution in simulation. That notion is a central one to our study, though much abused in general discussion. The question at hand, as it was posed in the 1990s, has been accompanied by others.

This book provides an English translation of the work Principles of the Probability Calculus published in 1886 by Johannes von Kries, which discusses the range theory of probability. It offers a novel account of the foundations of probability, an account which was familiar to Keynes, Kneale, Weber, Reichenbach, and von Mises. This account dispenses with the principle of indifference in probability, and it introduces the method of arbitrary functions. Confusions in the history of probability are pinpointed, and a novel theory is developed in which probability is neither entirely subjective nor objective. The book develops what is known as the range theory or Spielraum theory in detail, in a narrative way using few formulas. Von Kries applies range theory to Boltzmann’s theory of the statistical behaviour of gases, and to several applications in medical statistics. Many uses of probability are found wanting; very often they are found not to admit any expression of probability in numbers at all. The book will be of first interest to philosophers of science and historians interested in the foundations of probability. It is also of general interest to anyone who applies statistics everyday in such fields as econometrics, psychology, or medicine.

This book presents the most complete translation to date of Erwin Schroedinger's work on colorimetry. In his work Schroedinger proposed a projective geometry of color space, rather than a Euclidean line-element. He also proposed new (at the time) colorimetric methods - in detail and at length - which represented a dramatic conceptual shift in colorimetry. Schroedinger shows how the trichromatic (or Young-Helmholtz) theory of color and the opponent-process (or Hering) theory of color are formally the same theory, or at least only trivially different. These translations of Schroedinger's bold concepts for color space have a fresh resonance and importance for contemporary color theory.

This book presents the most complete translation to date of Erwin Schroedinger's work on colorimetry. In his work Schroedinger proposed a projective geometry of color space, rather than a Euclidean line-element. He also proposed new (at the time) colorimetric methods - in detail and at length - which represented a dramatic conceptual shift in colorimetry. Schroedinger shows how the trichromatic (or Young-Helmholtz) theory of color and the opponent-process (or Hering) theory of color are formally the same theory, or at least only trivially different. These translations of Schroedinger's bold concepts for color space have a fresh resonance and importance for contemporary color theory.

Realistic and immersive simulations of land, sea, and sky are requisite to the military use of visual simulation for mission planning. Until recently, the simulation of natural environments has been limited first of all by the pixel resolution of visual displays. Visual simulation of those natural environments has also been limited by the scarcity of detailed and accurate physical descriptions of them. Our aim has been to change all that. To this end, many of us have labored in adjacent fields of psych- ogy, engineering, human factors, and computer science. Our efforts in these areas were occasioned by a single question: how distantly can fast-jet pilots discern the aspect angle of an opposing aircraft, in visual simulation? This question needs some ela- ration: it concerns fast jets, because those simulations involve the representation of high speeds over wide swaths of landscape. It concerns pilots, since they begin their careers with above-average acuity of vision, as a population. And it concerns aspect angle, which is as much as to say that the three-dimensional orientation of an opposing aircraft relative to one's own, as revealed by motion and solid form. v vi Preface The single question is by no means simple. It demands a criterion for eye-limiting resolution in simulation. That notion is a central one to our study, though much abused in general discussion. The question at hand, as it was posed in the 1990s, has been accompanied by others.