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PARTICULAR
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Page No.
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Non-Linear Behaviour of Laterally Loaded Flexible Piles in
Cohesionless Soil
Gururaj M. Vijapur
Abstract:
Data were taken during the lateral loading of single 600mm diameter test pile
installed at a site where the soils consisted of clean fine cohesionless soil to
silty fine cohesionless soil. Two types of loading were employed, static
loading and cyclic loading. The data were analyzed and families of curves
were developed which showed the soil behavior presented in terms of the
lateral soil resistance p as a function of pile deformation y. With theoretical
studies as a basis, a method were derives for predicting the family of p-y
curves based on the properties of cohesionless soil and pile dimensions.
Procedures are suggested for both static loading and cyclic loading. While
there is some basis for the methods from theory, the behavior of cohesinless
soil and around a laterally loaded pile does not yield to a completely rational
analysis therefore, a considerable amount of empiricism is involved in the
recommendations. The procedure was employed for predicting p-y curves at
the experimental site and computed results are compared with experimental
results. The agreement is good
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1-20
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MICROPOLAR FLUID FLOW PAST A WEDGE IN PRESENCE OF MOTILE
MICROORGANISMS WITH THE IMPACT OF HEAT SOURCE/SINK
Jada Prathap Kumar
Abstract:
In this work, the analysis for Micropolar fluid past a
wedge is carried out. The viscous dissipation and heat absorption
are also considered for flow system doped with gyrotactic
microorganisms. The transport model is developed using non-linear PDEs, which are turned into a set of equivalent ODEs by
suitable transformation equations. The shooting technique in
conjunction with the Runge-Kutta-Fehlberg integration scheme in
Matlab bvp4c software, is used to solve a newly obtained set of
equations numerically. The effects of key factors on non-dimensionless momentum profiles, temperature, and motile
microorganism density are estimated for the impact of pressure
gradient parameter; Eckert number, material parameter, heat sink,
and bioconvection Lewis number are explored. The numerical data
so obtained is graphically created, and the consequences of the
major factors are thoroughly described in both cases of Blasius
and stagnation flow. There has been a good agreement between
the current work and a previously reported result. The heat
exchange rate is clearly accelerated with a heat sink. The
increasing wedge parameter boosts the microorganism field.
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21-50
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COMPLEX ANALYSIS AND ITS APPLICATION TO SERIES AND
GENERALIZED CHYBESHEV POLYNOMIALS
Rohit
Abstract:
The expectation that the detrended series will exhibit long memory with the post or
peculiarity occurring at least once possibly non-zero frequencies and the combination of
non-straight deterministic patterns and lengthy reveal dependence on the Chebyshev time
polynomials approach are what make this combination possible. Combining a non-straight
design with a large memory system, which permits the assessment of deterministic terms
using standard OLS-GLS techniques, results in a model with direct limits? Additionally,
Chebyshev's polynomials are particularly attractive due of their symmetry property for
rough non-straight information structures. We provide a method that allows us to test
(perhaps partial) orders of mix at different frequencies while monitoring Chebyshev
patterns without degrading the transmission of the approach. The results of a few targeted
Monte Carlo experiments demonstrate how effectively the strategy operates. These
polynomials may be used to illustrate how to find out such approximations and how to
approximate constant capacities using Chebyshev interjection and Chebyshev series. We
note that this representation is useful for training polynomial planning scenarios for small
K where we will get clear articulations for the repetition coefficients as far as the branch
focuses. We focus on a few select exceptional polynomials for small degree mappings and
provide evidence for a theory regarding the area of the polynomials' zeroes.
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51-64
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TO STUDY ABOUT THE MATHEMATICAL MODELS OF GAMES OF
CHANCE: PRINCIPLES OF AN OPTIMAL MATHEMATICAL INTERVENTION
FOR RESPONSIBLE GAMBLING
Sumit Geahlan
Abstract:
The near-miss has been regarded as a significant reinforcement factor in gambling activity,
and prior research has focused more on its causes and effects related to the industry and
less on the gaming phenomenon itself. Due to the unique features of these games, which
involve the probability of pre-manipulation of award symbols in order to maximise the
frequency of these "engineered" near-misses, the near-miss has traditionally been
associated with games of slots and scratch cards. In this paper we argue that we can more
accurately describe the fallacious elements of the near-miss cognitive effects and the
inadequate interpretation and representation of the elementary mathematical definition of
the classical (by pure chance) near-miss, generalizable to any game, and concentrating
equally on the epistemology of its constitutive concepts and their mathematical description.
In exploratory learning conditions that are random in nature, this study seeks to investigate
how probabilistic reasoning occurs. In particular, the emphasis is on what learners with
little knowledge with formal probability theories do and can do when coping with
compound random circumstances in which opponents are offered to implement various
probabilistic lines of reasoning. This research therefore indicates that probabilistic
reasoning takes shape through a contextualization mechanism, i.e. through a compound
process where cognitive behaviour oscillates between contextual perceptions and
reflections, the focal event and new knowledge that comes into play. This study shows that
students are able to formulate ideas of an underlying distribution of probability in the case
of compound random phenomena before instruction. Geometrical and numerical
considerations as well as statements representing the concepts of the rule of large numbers
are discussed by the students. Main words/phrases: probabilistic reasoning, randomness,
en-counters of compound chance, contextualization, distinction, elaborative variation
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65-74
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A SEIQR EPIDEMIC MODEL FOR THE PROPAGATION OF
COVID-19 USING A FUZZY PARAMETER
1NARESH KUMAR
Abstract:
Snail is known to serve as an intermediate host for several species of larval trematodes
some of which are highly pathogenic for their second intermediate host i.e fishes. If we
want the fisheries development programmes to be successful, we need to intensive research
on the fish parasites and their intermediate host. These parasites also provoke remarkable
mortality to human and cause serious damages to aquaculture, which is a valuable source
of food and employment in developing countries, basically deals with the studies on effect
of parasite i.e. cercariae that were found in various water bodies of Meerut region infecting
the host B. bengalensis and L.luteola. Recent investigations have shown that some of the
molluscs are sources of important bio medical compound. The World Health Organization
(WHO) is therefore, paying special attention to this dynamic host-parasite interaction of
larval trematodes and snail control. Although the effects of digenetic trematodes on their
vertebrate hosts have been studied, comparatively little attention has been paid towards the
host-parasite relationship between the larval trematodes and their molluscan hosts.
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75-83
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