Isoperimetric Problems in the Calculus of Variations

1952 ◽  
Vol 4 ◽  
pp. 257-280 ◽  
Author(s):  
William Karush
Keyword(s):  
Calculus Of Variations ◽  
Classical Theory ◽  
Indirect Method ◽  
Direct Method ◽  
Isoperimetric Problems ◽  
End Points ◽  
Sufficiency Theorems ◽  
Theory Of Fields ◽  
A Direct Method ◽  
Problem Of Bolza

We are concerned with establishing sufficiency theorems for minima of simple integrals of the parametric type in a class of curves with variable end points and satisfying isoperimetric side conditions. The results which are obtained involve no explicit assumptions of normality. Such results can be derived by transforming our problem to a problem of Bolza and using the latest developments in the theory of that problem. More recently [6] an indirect method of proof has been published. Our object is to present a direct method of proof without transformation of the problem which is based upon a generalization of the classical theory of fields.

Flow Measurement to a Kaplan Turbine Using a Direct Method and an Indirect One

2016 ◽  
Vol 823 ◽  
pp. 361-366
Author(s):  
Ana Maria Budai ◽  
Adrian Cuzmos ◽  
Cristian Fanica ◽  
Damaschin Pepa ◽  
Cosmin Ursoniu ◽  
...  
Keyword(s):  
Direct Measurement ◽  
Flow Rate ◽  
Flow Measurement ◽  
Indirect Method ◽  
Direct Method ◽  
The Other ◽  
Hydropower Plant ◽  
Kaplan Turbine ◽  
A Direct Method

The paper present two different methods for measuring flow in hydropower, one direct and one indirect method. The study consists in comparing the results obtained by measurements made by both methods in a Romanian hydropower plant. The indirect method used is the Winter-Kennedy method. The other method involves direct measurement of the flow rate of water using a specialized outfit in this.

scholarly journals Estimating emission from gas power plant in palembang, indonesia using direct and indirect methods

2018 ◽  
Vol 67 ◽  
pp. 02037
Author(s):  
Gabriel Andari Kristanto ◽  
Alditho Farrasi Anantoputra
Keyword(s):  
Power Plant ◽  
Emission Factor ◽  
Indirect Method ◽  
Emission Inventory ◽  
Direct Method ◽  
Total Particulate Matter ◽  
Indirect Methods ◽  
Gas Power Plant ◽  
A Direct Method ◽  
Direct And Indirect Methods

Nowadays, almost every daily activity is supported by the availability of energy, especially electricity. As the Borang 60 MW Gas Power Plant in Palembang, Indonesia emits air pollutants such as SO2, NOx, CO, and total particulate matter (total PM), an emission inventory needs to be developed. Various methods can be used in the inventory of emissions; among others are a direct method based on direct measurement and an indirect method which involves the calculation of total emissions by emission factor. This study aims to estimate the emissions from the gas power plant in Palembang using direct and indirect methods and analyze the most suitable emission factor for Indonesian conditions. The comparison between emissions measured by direct and indirect methods found that the indirect method using the emission factor of AP-42 gives more accurate results for SO2 and NOx, whereas the total emission of CO is more accurately calculated based on the indirect method using the emission factor developed by Kurokawa et al. (2013); the median value of total PM is more accurately calculated based on the indirect method using the emission factor developed by the IPCC.

Single-Term Walsh Series Direct Method for the Solution of Nonlinear Problems in the Calculus of Variations

2004 ◽  
Vol 10 (7) ◽  
pp. 1071-1081 ◽  
Author(s):  
M. Razzaghi ◽  
B. Sepehrian
Keyword(s):  
Calculus Of Variations ◽  
Nonlinear Problem ◽  
Direct Method ◽  
Nonlinear Problems ◽  
Variational Problems ◽  
Walsh Series ◽  
Algebraic Equations ◽  
Brachistochrone Problem ◽  
Single Term ◽  
A Direct Method

A direct method for solving variational problems using single-term Walsh series is presented. Two nonlinear examples are considered. In the first example the classical brachistochrone problem is examined. and in the second example a higher-order nonlinear problem is considered. The properties of single-term Walsh series are given and are utilized to reduce the calculus of variations problems to the solution of algebraic equations. The method is general, easy to implement and yields accurate results.

scholarly journals Evaluation of the cytotoxic and genotoxic effect of garlic (Allium sativum L.) root cells after exposure to contaminant solution

2020 ◽  
Vol 13 (3) ◽  
pp. 6
Author(s):  
L. P. N. Ramos ◽  
L. S. D. Nascimento ◽  
J. S. Lima ◽  
C. B. M. Farias ◽  
V. S. Mello ◽  
...  
Keyword(s):  
Indirect Method ◽  
Allium Sativum ◽  
Chemical Nature ◽  
Direct Method ◽  
Root Cells ◽  
Mato Grosso ◽  
Index Analysis ◽  
Mutagenic Effects ◽  
The University ◽  
A Direct Method

Water contamination is much more common than imagined, because it is practically impossible today to have an ecosystem that has not suffered directly or indirectly from humans. Studies with the aim of genotoxicity and mutagenesis use bioindicators as the basis of tests, the most used are from the Allium ssp family. When we mention cytogenetic damage, the intensity depends mainly on the degree of exposure, quantity, chemical nature and of the possible combinations between the contaminants, also influenced by the characteristics and conditions of the environment in which the organisms considered bioindicators are submitted. The present work has the objective of analyzing the cytotoxic, genotoxic and mutagenic effects induced by contaminating material that cause chromosomal alterations by means of mitotic index analysis using as bioindicator Allium sativum (garlic). The experiment was carried out at the Laboratory of Cytogenetics and Culture of Vegetable Tissues at the University of the State of Mato Grosso (UNEMAT) at the Alta Floresta Campus - MT. The soil was collected and stored separately using 200 grams of each sample with three treatments: surface, 20 cm and 40 cm deep, making a tea with 200 ml of distilled water and then measuring the pH. Using a direct method where the bioindicator is submitted directly to the tea solution, awaiting the emission of roots, and the indirect method, where the bioindicator is submitted first, the stimulation of root formation for 72 hours and then is submitted to contaminating solution. The plates readings to observe the interior of the cell using crushing techniques were performed in 24, 48 and 72 hours of experiment (indirect method) and 24 hours (direct method, also measuring the roots). With the results, we can state that the material used as pollutant (soil sample) has a cytotoxic and genotoxic potential in the bioindicator material, presenting high potential in the cell cycle induction, provoking various chromosomal aberrations.

scholarly journals Wittgenstein and Surrealism

2012 ◽  
Vol 13 (1) ◽  
pp. 74-84
Author(s):  
Chrysoula Gitsoulis ◽  
Keyword(s):  
Indirect Method ◽  
Direct Method ◽  
Language Games ◽  
Linguistic Practice ◽  
A Direct Method

There are two aspects to Wittgenstein’s method of deconstructing pseudo-philosophical problems that need to be distinguished: (1) describing actual linguistic practice, and (2) constructing hypothetical ‘language-games’. Both methods were, for Wittgenstein, indispensable means of clarifying the ‘grammar’ of expressions of our language – i.e., the appropriate contexts for using those expressions – and thereby dissolving pseudo-philosophical problems. Though (2) is often conflated with (1), it is important to recognize that it differs from it in imprtant respects. (1) can be seen as functioning as a direct method of ‘proof’ (i.e., attempt to convince the reader of some thesis), and (2) as an indirect method of ‘proof’ – proof by reduction ad absurdum. This essay will be devoted to clarifying (2) by forging an analogy with surrealism in art.

Determination of the Speed of an Unmanned Rescue Vehicle

2015 ◽  
Vol 220-221 ◽  
pp. 940-945 ◽  
Author(s):  
Andrzej Zbrowski ◽  
Wojciech Jóźwik
Keyword(s):  
Rotational Speed ◽  
Indirect Method ◽  
Direct Method ◽  
Indirect Measurement ◽  
Measurement Range ◽  
Test System ◽  
Correct Operation ◽  
Linear Speed ◽  
A Direct Method

The article presents the process of determining the speed of an unmanned rescue vehicle.The conducted investigations involved a measurement system developed for testing dynamic lorries. The application of a test system for low-speed all-terrain vehicles was possible due to a wide measurement range of sensors. Speed was tested employing two following methods:an indirect method consisting of the measurement of the instantaneous rotational speed of the wheel;a direct method consisting of the measurement of speed against the ground, taken with an optical speed sensor.The authors also describe the sources of interferences characteristic of both methods that include:the wheelspin affecting the correctness of speed determination in the indirect measurement;the unevenness of the surface (ground) hindering the correct operation of the optical speed sensor.The paper also presents the characteristics of the rotational speed of the wheels obtained in road and off-road conditions. Based on the obtained signals, linear speed was determined. Additionally, the article discusses methods for eliminating measurement disturbances.

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