A mathematical approach to the definition of osteoporosis

2009 ◽  
Vol 11 (8) ◽  
pp. 1199-1200 ◽  
Author(s):  
Regina C. Elandt-Johnson ◽  
Gayle E. Lester
Author(s):  
Yu.T. Glazunov

The definition of motive is considered. The research is based on the information and mathematical approach. The method is based on comparing two types of information available to the decision-maker. Firstly, it is the prognostic information on all means necessary for successful achievement of the goal; secondly, it is the pragmatic information on the means available for this purpose actually. Information has a numerical measure, and thus can be mathematized. Motivation is defined as mental activity to set a goal, formulate a motive and create a program of actions aimed at meeting the need. In the process of motivation the need passes through the stages of a hidden, objectified, specified and actualized need. Ultimately, it becomes an active need. These stages correspond to a needful arousal in the form of attraction, impulse, desire and intention, respectively. Intention turns into a motive that becomes a needful arousal that accompanies an active (motivated) need. The result of motivation is an integral formation called a binary relationship "motive-goal". It is shown that motive does not exist as a separate mental essence. It can be considered only within the framework of this binary relation. The analysis of the motivational process leads to the following definition: motive is the highest form of needful arousal that meets the actual need.


Apeiron ◽  
2016 ◽  
Vol 49 (1) ◽  
pp. 1-31 ◽  
Author(s):  
Andrea L. Carbone

AbstractMy aim in this paper is to outline and discuss the role played in Aristotle’s inquiry into living things by his extensive comparative account of the body plan of different kinds of animals, and of the shapes and figures of their bodily parts, which we may call his morphology. In tackling this question, I begin with Aristotle’s statement that the diagrammatical representation of the body’s organization based on the axes of symmetry is the second most important principle of the inquiry on living things, after the teleology principle. I discuss, in turn, his concern about the applicability of the mathematical approach to the living shapes; his analysis of the ways in which form is related to limit; and his criticism of Democritus’ and Empedocles’ treatment of form and shape. Through exploring the ways in which Aristotle recurs to the morphology principle in the practice of biology, I point out that morphology provides a key methodological framework for the two most important tasks of the research program of the inquiry on living things – the definition of the kinds and the explanation of the causes.


2012 ◽  
Vol 8 (1) ◽  
pp. 22-39 ◽  
Author(s):  
Marina Knyazhansky ◽  
Tatjana Plotkin

This paper discusses the informational equivalence problem for knowledge bases. The authors show that using some mathematical approach it is possible to attack this problem and end up with an implementable algorithm. An essential part of the paper is devoted to the explanation of the mathematical idea which stands behind this algorithm. The authors try to do that in common terms or, at least, in less formal terms. In the second part of the paper mathematical methods are applied to study the properties of automorphic equivalence of knowledge bases (multi-models) and show that this notion is much wider than the total isomorphism (identity) of knowledge bases. In order to make the paper self-contained, the reader is provided with the formal definition of a knowledge base. Further development of the theoretical approach presented in the paper can lead to practical applications. For example, it can be used for preventing duplication of information in knowledge bases and in other tasks of improving knowledge management.


1966 ◽  
Vol 24 ◽  
pp. 3-5
Author(s):  
W. W. Morgan

1. The definition of “normal” stars in spectral classification changes with time; at the time of the publication of theYerkes Spectral Atlasthe term “normal” was applied to stars whose spectra could be fitted smoothly into a two-dimensional array. Thus, at that time, weak-lined spectra (RR Lyrae and HD 140283) would have been considered peculiar. At the present time we would tend to classify such spectra as “normal”—in a more complicated classification scheme which would have a parameter varying with metallic-line intensity within a specific spectral subdivision.


1975 ◽  
Vol 26 ◽  
pp. 21-26

An ideal definition of a reference coordinate system should meet the following general requirements:1. It should be as conceptually simple as possible, so its philosophy is well understood by the users.2. It should imply as few physical assumptions as possible. Wherever they are necessary, such assumptions should be of a very general character and, in particular, they should not be dependent upon astronomical and geophysical detailed theories.3. It should suggest a materialization that is dynamically stable and is accessible to observations with the required accuracy.


1979 ◽  
Vol 46 ◽  
pp. 125-149 ◽  
Author(s):  
David A. Allen

No paper of this nature should begin without a definition of symbiotic stars. It was Paul Merrill who, borrowing on his botanical background, coined the termsymbioticto describe apparently single stellar systems which combine the TiO absorption of M giants (temperature regime ≲ 3500 K) with He II emission (temperature regime ≳ 100,000 K). He and Milton Humason had in 1932 first drawn attention to three such stars: AX Per, CI Cyg and RW Hya. At the conclusion of the Mount Wilson Ha emission survey nearly a dozen had been identified, and Z And had become their type star. The numbers slowly grew, as much because the definition widened to include lower-excitation specimens as because new examples of the original type were found. In 1970 Wackerling listed 30; this was the last compendium of symbiotic stars published.


Author(s):  
K. T. Tokuyasu

During the past investigations of immunoferritin localization of intracellular antigens in ultrathin frozen sections, we found that the degree of negative staining required to delineate u1trastructural details was often too dense for the recognition of ferritin particles. The quality of positive staining of ultrathin frozen sections, on the other hand, has generally been far inferior to that attainable in conventional plastic embedded sections, particularly in the definition of membranes. As we discussed before, a main cause of this difficulty seemed to be the vulnerability of frozen sections to the damaging effects of air-water surface tension at the time of drying of the sections.Indeed, we found that the quality of positive staining is greatly improved when positively stained frozen sections are protected against the effects of surface tension by embedding them in thin layers of mechanically stable materials at the time of drying (unpublished).


Author(s):  
W. A. Shannon ◽  
M. A. Matlib

Numerous studies have dealt with the cytochemical localization of cytochrome oxidase via cytochrome c. More recent studies have dealt with indicating initial foci of this reaction by altering incubation pH (1) or postosmication procedure (2,3). The following study is an attempt to locate such foci by altering membrane permeability. It is thought that such alterations within the limits of maintaining morphological integrity of the membranes will ease the entry of exogenous substrates resulting in a much quicker oxidation and subsequently a more precise definition of the oxidative reaction.The diaminobenzidine (DAB) method of Seligman et al. (4) was used. Minced pieces of rat liver were incubated for 1 hr following toluene treatment (5,6). Experimental variations consisted of incubating fixed or unfixed tissues treated with toluene and unfixed tissues treated with toluene and subsequently fixed.


Author(s):  
J. D. Hutchison

When the transmission electron microscope was commercially introduced a few years ago, it was heralded as one of the most significant aids to medical research of the century. It continues to occupy that niche; however, the scanning electron microscope is gaining rapidly in relative importance as it fills the gap between conventional optical microscopy and transmission electron microscopy.IBM Boulder is conducting three major programs in cooperation with the Colorado School of Medicine. These are the study of the mechanism of failure of the prosthetic heart valve, the study of the ultrastructure of lung tissue, and the definition of the function of the cilia of the ventricular ependyma of the brain.


Author(s):  
P. M. Lowrie ◽  
W. S. Tyler

The importance of examining stained 1 to 2μ plastic sections by light microscopy has long been recognized, both for increased definition of many histologic features and for selection of specimen samples to be used in ultrastructural studies. Selection of specimens with specific orien ation relative to anatomical structures becomes of critical importance in ultrastructural investigations of organs such as the lung. The uantity of blocks necessary to locate special areas of interest by random sampling is large, however, and the method is lacking in precision. Several methods have been described for selection of specific areas for electron microscopy using light microscopic evaluation of paraffin, epoxy-infiltrated, or epoxy-embedded large blocks from which thick sections were cut. Selected areas from these thick sections were subsequently removed and re-embedded or attached to blank precasted blocks and resectioned for transmission electron microscopy (TEM).


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