A rotatable 3-D computer reconstruction of paper from light microscopic images of serial-sections

Author(s):  
R. J. Neal ◽  
M. Telljohann

The utilization of images from serial-sections to build 3-D models has always been a desirable goal of microscopists. This has been a formidable task because of the tedious effort required to obtain suitable microscopic images from properly registered serial-sections, and to build 3-D models from these images. With the advent of computerized imaging capabilities, 3-D modeling has been simplified considerably. It seemed likely, then, that by combining serial-sectioning techniques with computerized processing, a rotatable 3-D model of paper could be generated. Such a model could yield considerable insight into void structure and fiber relationships that relate to the strength and absorption qualities of paper. This data could lead to novel ways of manufacturing paper of improved quality.Small pieces of paper hand-sheets were embedded in plastic and polymerized at 60° overnight. Registration holes (50 μm Dia.) were burned into the block with an Ar laser.

1985 ◽  
Vol 63 (9) ◽  
pp. 1157-1161 ◽  
Author(s):  
F. Castaño ◽  
L. Laín ◽  
M. N. Sanchez ◽  
A. Torre

An iterative method for time-independent perturbation theory is presented. Lennard-Jones–Brillouin–Wigner (LBW) and Rayleigh–Schrödinger (RS) power series are shown to be particular cases of the iteration and the combined expansion–iteration. Improvements in convergence of the power series are suggested and analyzed.The iterative method gives considerable insight into the nature and relative convergence of the currently used time-independent perturbation methods.


2021 ◽  
Vol 26 (4) ◽  
pp. 341-372
Author(s):  
Jip van Besouw ◽  
Steffen Ducheyne

Abstract In order to gain a better understanding of the impact and circulation of the first edition of the Principia, we offer an analysis of public perceptions in Britain of Isaac Newton’s approach to physical inquiry in the Principia between the appearance of its first and second editions, in 1687 and 1713, respectively. We treat Newton’s readers as actors with distinctive scholarly backgrounds and interests rather than as followers or popularisers of a “Newtonian philosophy,” a label we find to be largely absent in the historical record before 1713, when it was purposefully used by Roger Cotes in his preface to the second edition of the Principia. Through our survey, we gain considerable insight into how Newton’s readers characterised the Principia and its author. We establish that British readers of the first edition of the Principia ascribed a relatively stable and interrelated number of characteristics to Newton’s natural philosophical approach, although different readers emphasised different things. We also show that the most detailed accounts of Newton’s natural philosophical approach were, not surprisingly, given in polemical contexts. We find that it is only at the very end of this period, and in polemical contexts, that the notion of a “Newtonian philosophy” with a specific and pathbreaking approach to physical inquiry arose.


1946 ◽  
Vol 13 (1) ◽  
pp. A41-A44
Author(s):  
L. R. Koenig

Abstract The purpose of this paper is to disclose a more reliable and uniform method, applicable to mechanisms in general, for determining directly the angular accelerations of the constituent links. The method completely suffices where the determination of angular accelerations is the end in view. Although it is independent of normal, tangential, and total accelerations of points on the links, reliable determinations of such accelerations are considerably facilitated with the aid of the acquired angular accelerations. Angular-acceleration problems may be solved with increased assurance because; (a) only velocity-vector considerations are required in the necessary kinematic layouts; (b) full advantage may be taken of the process of inversion in simplifying velocity-vector layouts, which is not possible when acceleration vectors are employed; and (c) the method gives considerable insight into the effects of the various factors controlling the angular accelerations.


Tallis ◽  
2020 ◽  
pp. 197-208
Author(s):  
Kerry McCarthy

This final chapter returns to the details of Tallis’s biography. It examines his will and the will of his wife Joan, two documents which offer considerable insight into his social circles and the everyday material surroundings of his household, as well as what little we can deduce of his family background. The chapter also discusses Tallis’s epitaph (very recently rediscovered by the author in a more accurate version) and the other memorial poems written at his death in 1585, including Ye sacred Muses, set to music by Byrd. It concludes with some reflections on Tallis’s enigmatic life and his musical gifts.


1979 ◽  
Vol 31 (5) ◽  
pp. 961-985 ◽  
Author(s):  
Günter Bruns

Introduction. Every orthomodular lattice (abbreviated : OML) is the union of its maximal Boolean subalgebras (blocks). The question thus arises how conversely Boolean algebras can be amalgamated in order to obtain an OML of which the given Boolean algebras are the blocks. This question we deal with in the present paper.The problem was first investigated by Greechie [6, 7, 8, 9]. His technique of pasting [6] will also play an important role in this paper. A case solved completely by Greechie [9] is the case that any two blocks intersect either in the bounds only or have the bounds, an atom and its complement in common. This is, of course, a very special situation. The more surprising it is that Greechie's methods, if skillfully applied, yield considerable insight into the structure of OMLs and provide a seemingly unexhaustible source for counter-examples.


1983 ◽  
Vol 76 (1) ◽  
pp. 48-51
Author(s):  
Angelo S. Didomenico

It is important that teachers of mathematics encourage open, imaginative investigations that give students an opportunity to probe, find patterns and relations, and derive new patterns and relations from others. Activities of this kind foster analytic and creative thinking, and so they involve students in problem solving of the highest order. They also generate enthusiasm. stimulate interest, and can give considerable insight into the nature and the underlying unity and beauty of mathematics.


1996 ◽  
Vol 455 ◽  
Author(s):  
Adrian C. Wright ◽  
Natalia M. Vedishcheva ◽  
Boris A. Shakhmatkin

ABSTRACTBorate glasses are an enigma in that there is now increasing evidence that their structures are dominated by superstructural units, which comprise well defined arrangements of the basic BO3 and BO4 structural units, with no internal degrees of freedom in the form of variable bond or torsion angles. In the present paper, it is shown that considerable insight into the structure of borate glasses can be gained from a study of the corresponding crystalline polymorphs. A simple, model is proposed to predict the fraction, x4, of 4-fold co-ordinated boron atoms in vitreous borate networks and the topological criteria for the formation of such networks are discussed, taking into account the degrees of freedom necessary for conventional glass formation.


Palæontologists might perhaps he excused if they regarded with a certain degree of envy the student of recent organisms, who in addition to other facilities, has at his command that powerful method of research, investigation by means of serial sections. In the case of many important fossils not a half, frequently not a tenth, of the information they could afford, if accessible to this method, has at present been extracted from them. This is the more to be regretted since it is to these ancient forms of life that we must turn for the surest guidance in phylogeny. Serial sections, such as are provided by thin transparent slices are never likely to be very generally employed by the Palæontologist, since they cannot by any known process be obtained at closer intervals than one millimetre or more. Thus it is only when the size of the fossil is so great as to render this interval negligible, that serial thin slices can serve their real purpose. Fortunately the same objection does not apply to opaque sections, such as may he obtained by grinding away the substance of an object; these can be prepared at any desired degree of proximity. Consequently whenever the substance of a fossil, viewed by reflected light, offers a sufficient optical contrast to the enclosing matrix, the method of serial sections may he applied to it. In this matter the Palæontologist has, therefore, no cause for envy; a means for obtaining a deeper insight into the objects of* his study lies ready to hand. The only difficulties are the practical; the object to be studied after having been ground through a known interval, must be removed from the grinding apparatus for examination, and its form recorded by drawing or photography; on replacing it in the apparatus to be ground through a second interval, it must be attached in such a manner that its polished face is returned to precisely the same plane that it occupied before removal. While attempting to devise a machine to accomplish this, I applied for assistance to my friend and colleague Mr. Jervis-Smith, Reader of Mechanics in the University, who at once interested himself in the matter in the kindest way, and solved the problem by designing the apparatus which is represented in figs. 1 and 2, and described by Mr. Jervis-Smith as follows:—“Two planed pillars MM, fig. 1, forming parts of one casting, are supported on a base B. The pillars carry a transverse slide and carriage moving on it, driven by a screw and handle; the transverse slide may be adjusted to any required height from the grinding disc D, by means of screws attached to its back. A plate or chuck E carries the specimen; this plate is attached to a vertical rod, which can be raised or lowered by means of a micrometer screw F, the end of the screw acting as a stop, when the desired amount of the specimen has been removed by the grinding disc D. The wash from the disc is caught in a circular trough A, to which a tube is attached to take away the liquid used in grinding. “The disc D (the diameter of which is 4 inches) is rotated by means of a cord passing partly round the wheels K, H, and entirely round the wheel G. By means of this arrangement of the pulley-wheels the tension of the driving band or cord is maintained between the wheels K and H without the axle of the central wheel being subjected to injurious pressure. The grinding disc is of thick plate-glass, carried on a gun-metal disc attached to the axle of the central wheel. In the process of grinding the disc D is fed with water containing the finest emery flour in suspension. The axle of the wheel K, which is rotated by the handle O, is placed at a small angle with respect to the axle of the wheel H; this prevents the driving cord from rubbing against itself. The slack of the driving cord is taken up by means of the screw N.”


2004 ◽  
Vol 19 (6) ◽  
pp. 1115-1126 ◽  
Author(s):  
Charles A. Doswell

Abstract The decision-making literature contains considerable information about how humans approach tasks involving uncertainty using heuristics. Although there is some reason to believe that weather forecasters are not identical in all respects to the typical subjects used in judgment and decision-making studies, there also is evidence that weather forecasters are not so different that the existing understanding of human cognition as it relates to making decisions is entirely inapplicable to weather forecasters. Accordingly, some aspects of cognition and decision making are reviewed and considered in terms of how they apply to human weather forecasters, including biases introduced by heuristics. Considerable insight into human forecasting could be gained by applying available studies of the cognitive psychology of decision making. What few studies exist that have used weather forecasters as subjects suggest that further work might well be productive in terms of helping to guide the improvement of weather forecasts by humans. It is concluded that a multidisciplinary approach, involving disciplines outside of meteorology, needs to be developed and supported if there is to be a future role for humans in forecasting the weather.


1983 ◽  
Vol 16 (6) ◽  
pp. 580-586 ◽  
Author(s):  
Yu-Man Matthew Wong ◽  
Robert P. Thompson ◽  
Loren Cobb ◽  
Timothy P. Fitzharris

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