The construction of the set of initial values of integral curves bounded by a ?slit,? using asymptotic methods

1970 ◽  
Vol 21 (6) ◽  
pp. 620-629
Author(s):  
I. G. Kozubovskaya
Keyword(s):  
Asymptotic Methods ◽  
Initial Values ◽  
Integral Curves

From Finite Sample to Asymptotic Methods in Statistics

2009 ◽  
Author(s):  
Pranab K. Sen ◽  
Julio M. Singer ◽  
Antonio C. Pedroso de Lima
Keyword(s):  
Asymptotic Methods ◽  
Finite Sample

THE INFLUENCE OF VITAMIN C ON EOSINOPHIL RESPONSE TO ACUTE ALCOHOL INTOXICATION IN RATS

1960 ◽  
Vol XXXV (IV) ◽  
pp. 585-593 ◽  
Author(s):  
T. P. J. Vanha-Perttula
Keyword(s):  
Vitamin C ◽  
Ethyl Alcohol ◽  
Intraperitoneal Injection ◽  
Alcohol Intoxication ◽  
Albino Rats ◽  
Acute Alcohol Intoxication ◽  
Alcohol Administration ◽  
Initial Values

ABSTRACT The effect of ethyl alcohol on the circulating eosinophil cells has been studied in female albino rats. An intoxicating dose of alcohol caused a marked depletion of circulating eosinophils which was most clearly evident four hours after the administration of the alcohol. The initial values were not reached before 24 hours had elapsed. Intraperitoneal injection of vitamin C 12 hours prior to the alcohol administration very effectively prevented this eosinopenic reaction. The mechanism of regulation of the eosinophil cells in the circulation has been discussed in the light of previous results and of those obtained in this study.

Use of Asymptotic Methods in Studying the Temperature Field in the Operating Well

2006 ◽  
Vol 37 (5) ◽  
pp. 407-419
Author(s):  
A. I. Filippov ◽  
P. N. Mikhailov ◽  
K. A. Filippov
Keyword(s):  
Temperature Field ◽  
Asymptotic Methods

The Role Of The Pilates Method In The Formation And Development Of The Body Balance

2019 ◽  
pp. 78-83
Author(s):  
Irene-Teodora Nica
Keyword(s):  
The Body ◽  
Target Group ◽  
Body Balance ◽  
Initial Values ◽  
Pilates Method

The study is aimed at training and developing balance through Pilates programs. In order to improve the initial values, we have developed a set of corresponding exercises. The test was applied on a target group, the initial and final results being presented. The conclusion presents the interpretation of the results.

Asymptotic Methods in Electromagnetics

1997 ◽  
Author(s):  
Daniel Bouche ◽  
Frédéric Molinet ◽  
Raj Mittra
Keyword(s):  
Asymptotic Methods

Application of Asymptotic Methods to Calculating Electroweak Corrections in Polarized Bhabha Scattering

2020 ◽  
Vol 83 (2) ◽  
pp. 307-333
Author(s):  
A. G. Aleksejevs ◽  
S. G. Barkanova ◽  
Yu. M. Bystritskiy ◽  
V. A. Zykunov
Keyword(s):  
Asymptotic Methods ◽  
Bhabha Scattering ◽  
Electroweak Corrections

scholarly journals On the formation of fold-type oscillation marks in the continuous casting of steel

2017 ◽  
Vol 4 (6) ◽  
pp. 170062 ◽  
Author(s):  
M. Vynnycky ◽  
S. Saleem ◽  
K. M. Devine ◽  
B. J. Florio ◽  
S. L. Mitchell ◽  
...  
Keyword(s):  
Continuous Casting ◽  
Asymptotic Methods ◽  
Continuous Casting Of Steel ◽  
Oscillation Mark ◽  
Governing Equations ◽  
Fold Type ◽  
Parameters Analysis ◽  
Oscillation Marks ◽  
Recent Experimental Work ◽  
Type Oscillation

Asymptotic methods are employed to revisit an earlier model for oscillation-mark formation in the continuous casting of steel. A systematic non-dimensionalization of the governing equations, which was not carried out previously, leads to a model with 12 dimensionless parameters. Analysis is provided in the same parameter regime as for the earlier model, and surprisingly simple analytical solutions are found for the oscillation-mark profiles; these are found to agree reasonably well with the numerical solution in the earlier model and very well with fold-type oscillation marks that have been obtained in more recent experimental work. The benefits of this approach, when compared with time-consuming numerical simulations, are discussed in the context of auxiliary models for macrosegregation and thermomechanical stresses and strains.

On a system of three difference equations of higher order solved in terms of Lucas and Fibonacci numbers

2020 ◽  
Vol 70 (3) ◽  
pp. 641-656
Author(s):  
Amira Khelifa ◽  
Yacine Halim ◽  
Abderrahmane Bouchair ◽  
Massaoud Berkal
Keyword(s):  
General Solution ◽  
Closed Form ◽  
Difference Equations ◽  
Fibonacci Numbers ◽  
Higher Order ◽  
Real Numbers ◽  
Lucas Numbers ◽  
Rational Difference Equations ◽  
Initial Values ◽  
Fibonacci And Lucas Numbers

AbstractIn this paper we give some theoretical explanations related to the representation for the general solution of the system of the higher-order rational difference equations$$\begin{array}{} \displaystyle x_{n+1} = \dfrac{1+2y_{n-k}}{3+y_{n-k}},\qquad y_{n+1} = \dfrac{1+2z_{n-k}}{3+z_{n-k}},\qquad z_{n+1} = \dfrac{1+2x_{n-k}}{3+x_{n-k}}, \end{array}$$where n, k∈ ℕ0, the initial values x−k, x−k+1, …, x0, y−k, y−k+1, …, y0, z−k, z−k+1, …, z1 and z0 are arbitrary real numbers do not equal −3. This system can be solved in a closed-form and we will see that the solutions are expressed using the famous Fibonacci and Lucas numbers.

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