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REDEI RATIONAL FUNCTIONS AS PERMUTATION FUNCTIONS
AND AN ALGORITHM TO COMPUTE REDEI RATIONAL
FUNCTIONS
Dr.D.CHAYA KUMARI
Abstract:
Permutation polynomials have received
significantly wider attention because of their potential applications
in cryptosystems and various combinatorial designs. A polynomial
f x x ( )Fq
of positive degree is called a permutation polynomial if
and only if f (x) induces a bijection from Fq onto itself. The rational
functions over
F
q x
that yield permutations of Fq are called
permutation functions. In the process of the study of necessary and
sufficentt conditions for a polynomial to be permutation polynomial a
special kind of polynomials gn(a; x) called Dickson polynomials are
introduced by Dickson and the study of Dickson polynomials lead to
the introduction of the special class of the special class of functions
called Redei rational functions to be permutation functions are
presented and an algorithm to compute the Redei rational functions
is given which is useful in cryptosystems with Redei rational
functions as trapdoor functions.
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1-13
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FOOD SECURITY: CHALLENGES AND IMPLICATIONS
Dr. E. Purushotham
Abstract:
India is developing rapidly in all aspects similarly with other countries and has been
seriously competing with all other developed and developing nations, unfortunately India
is struggling to provide two square meals a day to the people in bottom of the pyramid. It
is really shameful to note that 48 percent of the children are suffering from malnutrition.
According to Global Hunger Index 2013 in the catalogue of 120 countries India is
occupying 63 positions. With introduction of Food Security Act, 2013 seems to luring. But
it is to be seriously pondered whether this bill is truly going to address the issue of hunger,
poverty and malnutrition. This conceptual paper presents comprehensive details on
challenges of implementing Food Security Act, 2013.
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14-23
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A NEW UNIVARIATE MAX POLICY OF RECRUITMENT IN
A TWO GRADED MANPOWER SYSTEM WITH
DIFFERENT EPOCHS FOR DECISIONS AND EXITS
G. Ishwarya
Abstract:
In this paper, the problem of time to recruitment is studied for a two graded
manpower system by employing a new univariate MAX policy of recruitment
in which exits take place due to policy decisions. Assuming that the policy
decisions and exits occur at different epochs, three mathematical models are
constructed based on shock model approach and the variance of time to
recruitment is obtained when the inter-exit times form an ordinary renewal
process according as inter-policy decision times form a sequence of
exchangeable and constantly correlated exponential random variables or a
geometric process or an order statistics. The analytical results in closed form
are derived for all three models by assuming specific distribution to loss of
manpower.
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24-30
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THE SCHULTZ INDEX, MODIFIED SCHULTZ INDEX AND
GEOMETRIC ARITHMETIC INDEX , THEORETICAL BOND
LENGTH AND BOND ANGLE OF CHEMICAL TREES OF
PENTANE ISOMERS
Kailas S. Ahire
Abstract:
Many organic molecules have a graph representation that is tree.
Isomers have same chemical formula but different molecular
structure. To determine how two chemical structures are different. In
this paper we study a Hausdorff (H ) distance , Geometrical –
Arithmetic index (GA (G) ), Schultz index (𝑆𝐶
𝐺 ) , modified
Schultz index (𝑆𝐶
∗
𝐺 ) and Schultz polynomial, Modified Schultz
polynomial for tress of pentane (C5H12) and its isomers, isopentane
and neopentane, having three different tree graphs (chemical trees).
We use Gaussian 0.3 computational chemistry software to
interpretate the physical properties of these isomers. The bond length
and bond angle are important characteristics of covalent bonding in
molecules. The concept of bond length and bond angle permits us to
get an immediate insight into the bonding situation in different
molecules. The thermodynamic properties show that the
intermolecular interactions become weaker as the molecular shape
becomes more nearly spherical and the surface area decreases with
branching.
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31-38
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MATHEMATICAL MODELING FOR DISSOLVED OXYGEN SAG
ANALYSIS IN RIVER
R. V. Waghmare
Abstract:
In this paper, we consider the general mass conservation equation,
which averaged over the cross section of the stream. We apply this
concept for a continuous discharge of wastewater into a river, so
which is applicable to the BOD, which also undergoes a first-order
decay process. For dissolved oxygen, the one-dimensional mass
conservation equation is easily deducted, The time derivative term is
removed because steady-state concentrations are sought, and the
dispersion term is also removed because of negligible effects for a
continuous discharge and appropriate source and sink terms are
added and the maximum dissolved-oxygen deficit is obtained. We
also discussed zero order kinetics model, derived on the basis of
assumptions that the concentration of bacteria is relatively constant
and that the rate of substrate utilization is zero order. We find for
the dissolved oxygen deficit at the transition when the substrate is all
utilized. For times greater than there is no longer any
substrate and thus .
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39-48
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OPTIMIZATION OF MACHINING PARAMETERS IN EDM OF AL
6061 15%SIC 6%MHA COMPOSITE BY TAGUCHI METHOD
Rajesh Choudhary
Abstract:
In this study machining of metal matrix composite has been conducted by electric
discharge machining to investigate the effect of control parameters like current, pulse on
time, pulse off time and voltage on material removal rate. The attempt has been made to
use the crushed ash of mustard husk and SiC as reinforcement in Al 6061 matrix to
fabricate the metal matrix composite through stir casting route. Experiments were
conducted on electric discharge machine having facility to adapt the changes in control
parameters. The effect of various parameters like tool electrodes, gap current, pulse on
time and voltage was observed on metal removal rate. L18 orthogonal array was selected
to conduct the experiments. The effect of current and pulse on time is found to be more
pronounced on MRR.
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49-57
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TWO UNIQUE PRIMITIVE PYTHAGOREAN TRIPLES FROM
EVERY INTEGER
Harry Z. Davis
Abstract:
In this paper we show that for every integer, there are
two unique primitive solutions to the classical
Pythagorean equation. These solutions have two
interesting points. The two unique primitive triples
correspond to every integer, with no additional
conditions. Two, for each of the solutions, C-B is the set
of all odd integers squared
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58-62
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LAZY ADDITION OF CONSTRAINTS
DR. VINOD KUMAR YADAV
Abstract:
The preceding methods are all conservative in the sense that for each pair of objects there
is always a linear constraint in the solver ensuring that the of objects will not overlap. We
study the complex Combinatorial optimization problem to schedule the activities of a
single project with the objective to complete the project with in the shortest -poss
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63-65
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Promising Polymer Composites for Food Packaging Applications: A Study
DR. MANOJ KUMAR MISHRA
Abstract:
The simplest definition of a polymer is a useful chemical made of many repeating units. A
polymer can be a three dimensional network (think of the repeating units linked together
left and right, front and back, up and down) or two-dimensional network (think of the
repeating units linked together left, right, up, and down in a sheet) or a one-dimensional
network (think of the repeating units linked left and right in a chain). Each repeating unit is
the “-mer” or basic unit with “poly-mer” meaning many repeating units. Repeating units
are often made of carbon and hydrogen and sometimes oxygen, nitrogen, sulfur, chlorine,
fluorine, phosphorous, and silicon. To make the chain, many links or “-mers” are
chemically hooked or polymerized together. Linking countless strips of construction paper
together to make paper garlands or hooking together hundreds of paper clips to form
chains, or stringing beads helps visualize polymers. Food packaging plays a vital role in
preserving food throughout the distribution chain. A package provides protection,
resistance, and special physical, chemical, or biological needs. In recent years, the
development of novel food packaging (modified atmosphere & active packaging) has
increased the shelf life of foods. Moreover, their safety and quality has increased
parallely.Nanotechnology offers several advantages to food packaging industry. For
example, barrier resistance, functional performance increase with nanotechnology.A recent
trend is to use nanocomposites materials for food-packaging applications. Nanoclay is one
the most popular material used in food packaging industry. Small plate-shaped particles of
clay, 1 nm thick and 1,000 nm in diameter. These tiny partciles are embedded into the
plastics normally used for packaging, such as polypropylene and polyethylene.
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66-75
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LAZY ADDITION OF CONSTRAINTS
DR. VINOD KUMAR YADAV
Abstract:
The preceding methods are all conservative in the sense that for each pair of objects there
is always a linear constraint in the solver ensuring that the of objects will not overlap. We
study the complex Combinatorial optimization problem to schedule the activities of a
single project with the objective to complete the project with in the shortest -poss
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76-78
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A ANALYSIS ON DEVELOPMENT OF A DATA MINING BASED MODEL FOR
PUBLIC HEALTHCARE MANAGEMENT
Rashel Sarkar
Abstract:
Data mining is the process of analyzing data to find previously unknown trends and
associations, as well as to uncover potentially useful knowledge. The use of data mining to
assist decision-making would yield better decision-making outcomes. The concept behind
integrating data mining techniques and decision making is to improve decision support
with data mining modeling methodologies when there is enough data to create an
appropriate model. Many researchers have investigated and validated the utility of
incorporating data mining techniques into decision support
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79-88
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THE INVERSE GALOIS PROBLEM AND MAEDA'S ASSUMPTION
Sheetal Kumari
Abstract:
According to Maeda's hypothesis on level 1 Eigen forms, the simple group PSL2𝔽(𝑝
𝑑
) exists as the Galois
group of a number field ramifying solely at 𝑝 for every positive even d and every 𝑝 in density one set of
primes.
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89-96
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Synthetic Study of Ni, Cu and Pd Metal Complexes with Antifungal
Analysis
Amit kumar
Abstract:
By using elemental analysis, molar conductance, IR, NMR, and electronic spectrum data, a
number of organic compounds have been created along with their nickel(II), copper(II),
and palladium(II) metal complexes. The complexes were tested for their antifungal
efficacy against Penicillium rubrum and Aspergillus niger. All of the produced compounds
have demonstrated good antifungal activity, which was generally enhanced upon
complexation with metal ions.
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97-102
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