A nomogram for calculating extended terms

1949 ◽  
Vol 8 (03) ◽  
pp. 147-159
Author(s):  
J. G. L. Michel

The simplest form of nomogram is a graphical device for representing a functional relationship between three variables in a manner which is often more convenient for practical reference than that of plotting a series of contours for chosen values of one of the three variables on a Cartesian graph. We develop the basis of such a nomogram by means of analytical geometry in this section.The condition that three points (ξ1, η1), (ξ2, η2) and (ξ3, η3) shall be collinear is commonly expressed by means of the determinantIf the relationship between three variablesa, bandcwhich we wish to represent nomographically isF (a,b,c) = o, (2)and we can express (2) in the determinantal form [similar to (1)]wheref1f2(a),f2(b),f3(c),g1(a),g2(b) andg3(c) represent (generally) different functions ofa, bandc, it is apparent that we can associateany three particular values ofa, bandcsatisfying (2) with the pointson a Cartesian graph; and they will be collinear because (3) is of the same form as (1).

1979 ◽  
Vol 45 (1) ◽  
pp. 283-296
Author(s):  
Millicent E. Poole

This study investigated the relationship between linguistic code elaboration and verbal processing strategies. Individual, structured interviews were administered to a sample of 48 male and 48 female adolescents, aged between 15 and 16 yr., to obtain measures in two domains, linguistic and verbal. Interdomain relationships were explored by means of principal component analysis and canonical correlation. The pattern of relationships between the two domains suggested a functional relationship between the linguistic codes and task-specific verbal processing modes. That is to say, linguistic codes reflected the simplicity or complexity of verbal processing strategies needed for task completion.


2020 ◽  
pp. 1-8
Author(s):  
Khalid Elyas Mohamed Elameen Alkhidir ◽  

The quality and assessment of a reservoir can be documented in details by the application of seismo magnetic power density. This research aims to calculate fractal dimension from the relationship among seismo magnetic power density, maximum seismo magnetic power density and wetting phase saturation and to approve it by the fractal dimension derived from the relationship among inverse pressure head * pressure head and wetting phase saturation. Two equations for calculating the fractal dimensions have been employed. The first one describes the functional relationship between wetting phase saturation, seismo magnetic power density, maximum seismo magnetic power density and fractal dimension. The second equation implies to the wetting phase saturation as a function of pressure head and the fractal dimension. Two procedures for obtaining the fractal dimension have been utilized. The first procedure was done by plotting the logarithm of the ratio between seismo magnetic power density and maximum seismo magnetic power density versus logarithm wetting phase saturation. The slope of the first procedure = 3- Df (fractal dimension). The second procedure for obtaining the fractal dimension was determined by plotting the logarithm (inverse of pressure head and pressure head) versus the logarithm of wetting phase saturation. The slope of the second procedure = Df -3. On the basis of the obtained results of the fabricated stratigraphic column and the attained values of the fractal dimension, the sandstones of the Shajara reservoirs of the Shajara Formation were divided here into three units


The object of this paper is the study of the functional relationship between the intracellular hæmatin compounds and the oxidising enzymes such as dehydrases and oxidases. It was shown previously (1925-1927) that aerobic organisms contain a very widely distributed intracellular hæmatin pigment-cytochrome-which can undergo reversible oxidation and reduction without being destroyed. Being the only compound directly visible in the living cell, cytochrome gives us important indications, not only of its own activity but also of that of other components of the respiratory system of the cell. The present paper will first deal with the thermostable peroxidase of yeast and other cells, and with the true thermostable oxidases such as the indophenol oxidase of yeast and muscle cells and the polyphenol oxidase of potato. This will be followed by the study of intracellular hæmatin compounds, and especially of the effects of various factors on the oxidation and reduction of cytochrome. The results of this study will enable us to determine the nature of the relationship between the oxidising enzymes and the intracellular hæmatin compounds, and this will help to elucidate at least one portion of the complicated respiratory mechanism, of the cell.


2015 ◽  
Vol 54 (2) ◽  
pp. 149-176 ◽  
Author(s):  
Simon Smith

Based on ethnographic research at five Czech universities from 2011 to 2013, this article explores how academics make sense of and claims to three qualitatively distinct temporal regimes in which their activities as knowledge producers are inscribed: disciplinary time, career time and project time. This conceptual framework, a modification of Shinn’s distinction between disciplinary, transitory and transversal knowledge-production regimes, seeks to replace images of competition and succession between regimes with images of their recombination and intersection. It enables an interpretation of the empirical findings beyond the indigenous complaint that excessive speed is compromising the quality of knowledge production. The relationship between projects, careers and disciplines emerges from the study as problematic rather than synergistic. In this respect the paper does not contradict the claim by critical theorists that we are witnessing the disintegration of what used to be a functional relationship between the multiple temporalities of academic knowledge production based on standardized career scripts, nor the related claim that this may reflect a deeper crisis of modernity as a predictive regime for the production of futures. It proposes, however, that transversal projects can still be mediators of ‘disciplinary respiration’ insofar as their timeframes are available for variable calibration commensurate with the increasingly heteronomous ways of knowing and knowledge routines that academic researchers practise.


2006 ◽  
Vol 21 (4) ◽  
pp. 895-903 ◽  
Author(s):  
Dejun Ma ◽  
Taihua Zhang ◽  
Chung Wo Ong

Dimensional and finite element analyses were used to analyze the relationship between the mechanical properties and instrumented indentation response of materials. Results revealed the existence of a functional dependence of (engineering yield strength σE,y + engineering tensile strength σE,b)/Oliver & Pharr hardness on the ratio of reversible elastic work to total work obtained from an indentation test. The relationship links up the Oliver & Pharr hardness with the material strengths, although the Oliver & Pharr hardness may deviate from the true hardness when sinking in or piling up occurs. The functional relationship can further be used to estimate the sum σE,y + σE,b according to the data of an instrumented indentation test. The σE,y + σE,b value better reflects the strength of a material compared to the hardness value alone. The method was shown to be effective when applied to aluminum alloys. The relationship can further be used to estimate the fatigue limits, which are usually obtained from macroscopic fatigue tests in different modes.


2020 ◽  
Vol 200 (3) ◽  
pp. 656-670
Author(s):  
L. M. Simkin

In this paper we have analyzed an approach to assessing the relationship between some characteristics of the net panels forming the rope/net cone of a fishing trawl. Using the mathematical relationship of solidity ratios for the rope/net panels, it is possible to analyze existing structures and, furthermore, reduce the time for selecting the prototype trawl. Such mathematical relationship allows faster calculation of new trawl designs which takes into account the production specifics of an enterprise manufacturing the trawl fishing gear. The use of mathematical relationships provides the opportunity to accelerate the process of trawl construction.


2019 ◽  
Vol 2 (4) ◽  
pp. 6
Author(s):  
Liangquan Wang ◽  
Fei Shang ◽  
Deren Kong

The warheads such as missiles and artillery shells have a certain speed of motion during the explosion. Therefore, it is more practical to study the explosion damage of ammunition under motion. The different speeds of the projectiles have a certain influence on the temperature field generated by the explosion. In this paper, AUTODYN is used to simulate the process of projectile dynamic explosion. In the experiment, the TNT spherical bare charges with the TNT equivalent of 9.53kg and the projectile attack speed of 0,421,675,1020m/s were simulated in the infinite air domain. The temperature field temperature peaks and temperature decay laws at different charge rates and the multi-function regression fitting method were used to quantitatively study the functional relationship between the temperature and peak temperature correlation calculations of static and dynamic explosion temperature fields. The results show that the temperature distribution of the dynamic explosion temperature field is affected by the velocity of the charge, and the temperature distribution of the temperature field is different with the change of the charge velocity. Through the analysis and fitting of the simulation data, the temperature calculation formula of the static and dynamic explosion temperature field is obtained, which can better establish the relationship between the temperature peak of the static and dynamic explosion temperature field and various influencing factors, and use this function. Relational calculations can yield better results and meet the accuracy requirements of actual tests.


Author(s):  
A. Riabchinska

The relationship between fiduciary transfer of ownership for security purposes and pledge as the ways to ensure the fulfilment of the obligation is examined in the article. The usefulness of the distinction of mentioned ways of ensuring the fulfilment of the obligations as two essentially different rights in nature is substantiated. The article endorses the feasibility to qualify a pledge as a proprietary right to another’s property. The article reveals that according to national civil law the pledge is a quasi – ownership right unlike the fiduciary transfer of ownership for security purposes which expressly designated by law as a kind of ownership for the property. It is suggested that the pledge and the fiduciary ownership for security purposes should be related as special and model right accordingly. It is proved that the difference between mentioned proprietary ways of ensuring the fulfilment of the obligation are: functional relationship of primary obligation (pledge is accessory means of ensuring the fulfilment of the obligation which shall be terminated after termination of primary obligation whereas fiduciary ownership is non – accessory thus it is not terminated immediately after termination of primary obligation); degree of autonomy of security estate including bankruptcy proceedings (to a fiduciary ownership object, separated from personal fiduciary’s property, does not apply the moratorium on satisfaction of creditors’ claims, the property secured by fiduciary ownership is not part of the debtor’s liquidation mass, by contrast the pledged object is part of the liquidation mass and falls within the scope of such moratorium); foreclosure procedure (recovery of pledge object as a rule is done on execution by a court decision, as opposed to fiduciary ownership for security purposes which allow fiduciary to recovery the security property without reference to judicial procedure through the sale it to any third party and makes it possible to take ownership of it without restrictions on use and disposal).


2020 ◽  
Vol 4 (2) ◽  
pp. 303
Author(s):  
Teuku Muana Refi ◽  
Jamali Jamali

This study aims to analyze the influence of organizational culture on the performance of Bank Mandiri of Banda Aceh region, as well as the role of organizational commitment in mediating the functional relationship between the two variables. The research sample was 156 employees who were taken by purposive sampling. The questionnaires were utilized to data collection process, and then the statistical model used to analyze the relationship between variables consists of structural equation modeling. The study found that organizational culture has a positive and significant effect on organizational commitment and the bank performance. The existence of organizational commitment mediates the influence of organizational culture on the performance of independent banks. The role of mediation is a partial mediation.


2017 ◽  
Vol 8 (1) ◽  
pp. 58-69 ◽  
Author(s):  
Nazmul Siddique ◽  
Paresh Dhakan ◽  
Inaki Rano ◽  
Kathryn Merrick

Abstract This paper presents a review on the tri-partite relationship between novelty, intrinsic motivation and reinforcement learning. The paper first presents a literature survey on novelty and the different computational models of novelty detection, with a specific focus on the features of stimuli that trigger a Hedonic value for generating a novelty signal. It then presents an overview of intrinsic motivation and investigations into different models with the aim of exploring deeper co-relationships between specific features of a novelty signal and its effect on intrinsic motivation in producing a reward function. Finally, it presents survey results on reinforcement learning, different models and their functional relationship with intrinsic motivation.


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