bluuebunny/crossref_metadata_2025_split huggingface dataset:
Good basis vs bad basis: On the ability of Babai’s Round-off Method for solving the Closest Vector Problem
Authors: Mandangan A , Kamarulhaili H , Asbullah M A 
Published: November 2019

Abstract
A lattice basis is consisting of linearly independent basis vectors that span the lattice. A lattice in dimension of 2 and above have infinitely many bases. These bases have different quality in terms of the length (norm) and orthogonality of basis vectors. A lattice basis with reasonably short and orthogonal basis vectors is normally referred to as a ‘good basis’. On the contrary, a lattice basis with long and non-orthogonal basis vectors is normally referred to as a ‘bad basis’. The most establish hard problems in lattice are the Shortest Vector Problem (SVP) and the Closest Vector Problem (CVP). The solutions of these NP-hard problems can be categorized as exact and approximation solutions. Since the hardness of these problems significantly grows once the lattice dimension increases, approximation methods for solving these problems are preferable in practice. Babai’s Round-off Method is an approximation method for solving the CVP. Executing this method by using different bases of the same lattice return outputs with different distance to the target vector. When the method is executed using a good basis, it works effectively for returning a lattice vector that is located close to the target vector. On the contrary, the method works ineffectively when it is executed using a bad basis where the returned lattice vector is located far from the target vector. In this study, we investigated the reasons behind this occurrence. For that purpose, we solved a CVP instance by executing the Babai’s Round-off Method using a good basis and a bad basis. As a result, we discovered how the norms and orthogonality of basis vectors play their role for influencing the quality of the output returned by the method.
On the Insecurity of Generalized (Rivest-Shamir-Adleman) - Advance and Adaptable Cryptosystem
Authors: Isa M.A.M. , Rahmany N.N.A. , Asbullah M.A. , Sathar M.H.A. , Rasedee A.F.N. 
Published: November 2019

Abstract
This paper explores the security claims of the Generalized (Rivest-Shamir-Adleman) - Advance and Adaptable Cryptosystem, in short the GRSA-AA cryptosystem. In the GRSA-AA design proposal, the public key n is defined as the multiplication of two large prime numbers, while the values of encryption key E and decryption key D are relying on the result of multiplying 2
k
large prime numbers called N where n divides N. The GRSA-AA claimed that the brute force is necessary to break the cryptosystem even if the integer n was factored. Nevertheless, this paper aims to show that this scheme is insecure once n is factored. The mathematical proof is presented to show that it is easy to generate an alternative value to the private key D without brute-forcing, yet successfully break the system.
Hypersingular integral equation for triple inclined cracks problems in half plane elasticity
Authors: Husin N H , Long N M A Nik , Senu N 
Published: November 2019

Abstract
Hypersingular integral equation associated with the modified complex potential is formulated to solve the three inclined cracks problems in an elastic half-plane with free traction boundary condition. The modified complex potential possesses two parts; the principal and the complementary parts. The principal part is derived from the original complex potential of the crack problem in an infinite plate. The complementary part eliminates the traction along boundary of half-plane caused by the principal part. The crack opening displacements (COD) is the unknown function and the traction is the right hand terms. The appropriate quadrature formula is adapted to solve the integral equation numerically and the stress intensity factor (SIF) is computed. The behaviour of SIF at crack tips is analysed. Numerical examples show that the SIF increases as the angle of inclined cracks and the distance of cracks from the boundary of half-plane increase. Our results are agreeable with the previous works.
Characterization of Essential Protein in Aging Based on Network Analysis
Authors: Syukor H , Sakhinah A B 
Published: November 2019

Abstract
The aging process is a process experienced by all living organisms. For human beings, this process occurs gradually starting at a young age. It is believed that proteins in some parts of the human brain play an important role in the aging process. Therefore, the protein interaction network for the aging process is aimed at obtaining characterization of essential proteins. Samples of proteins are obtained from ArrayExpress. Subsequently, data from Data of Interacting Protein (DIP) is used to obtain the connected proteins to generate network interactions for the aging process. A total of 38 networks are produced by age and gender, however we only focus on 24 networks that belong to 2 age classes. Using information from GeneAge, essential proteins for the aging process are extracted from all generated networks. Thereafter, five measurements were used to characterize all the essential proteins which are Degrees, Closeness Centrality, Betweenness Centrality, Local Clustering Coefficient and Number of Triangles. The results showed four out of five measurements were able to provide the main characteristics of essential proteins in which Degrees, Betweenness Centrality, Local Clustering Coefficients and Number of Triangles. All the characteristics of this protein are compared to age group and gender. Each age group and gender assigned different major protein markers. Therefore, a unique protein, which is the essential protein that “stands out” from other essential proteins based on every measurement in each class age and gender are identified. This analysis shows that there are several unique essential proteins to men and women that each have a distinctive characteristic in the protein interaction network for the aging process.
Effects of partial slip on micropolar fluid flow and heat transfer over a permeable shrinking sheet with thermal radiation and convective boundary condition
Authors: Faizal N F A , Hafidzuddin M E H , Arifin N M , Wahi N 
Published: November 2019

Abstract
In the presence of thermal radiation, partial slip and convective boundary condition, micropolar fluid flow and heat transfer over a shrinking sheet has been studied. The problem is modeled as a mathematical formulation that involves a system of the partial differential equation. The similarity approach is adopted and self-similar ordinary differential equations are obtained and then those are solved numerically using the shooting method. The flow field is affected by the presence of physical parameters, such as micropolar parameter, wall mass transfer parameter and slip parameter whereas the temperature field is affected by thermal radiation, Biot number and Prandtl number. The skin friction, couple stress and heat transfer coefficients are tabulated and analyzed. The effects of the governing parameters on the velocity, angular and temperature profiles are illustrated graphically. Dual solutions of velocity, angular velocity and temperature are obtained for several values of the each parameter involved. Results shows that, the thickness of boundary layer decline as skin friction coefficient decreases for both solution as the velocity slip increases while for heat transfer coefficient, the physically increases of Biot number corresponding to increment of temperature distribution.
Approximate relations between Manhattan and Euclidean distance regarding Latin hypercube experimental design
Authors: Uddin Jamali A R M Jalal , Alam Md. Asadul 
Published: November 2019

Abstract
Among several existing distance measures, perhaps Euclidean distance is the most used tool to calculate distances and then Manhattan distance measure, though which distance measure is suitable depends on the problems. In the field of Design of Experiments (DoEs) especially in simulation domain Latin Hypercube design (LHD) is a well-known approach to find out design points for experiments/simulations. Generally, randomly generated LHDs show poor space-filling property. But space-filling is one of the most required impotent properties for DoE. So researchers search optimal LHD in the sense of space-filling. Some authors considered Euclidean distance measure on the other hand some other authors considered Manhattan distance measure to find out optimal LHD regarding space-filling. It is obvious that both optimal LHDs are not identical. So it is a crucial asked - which measure provided better space-filling? The main problem is that there is no any relation among the distance measures especially Euclidean distance measure and Manhattan distance measure. In this article we have established some relations and bounds between Euclidean distance measures and Manhattan distance measures in perspective of LHD. Finally some experimental results are compared namely maximin LHDs measured by both Euclidean distance measure and Manhattan distance measures by using some proposed transformation techniques.
The impact of the magnetic field and viscous dissipation on the thin film unsteady flow of GO-EG/GO-W nanofluids
Authors: Rehman Ali , Salleh Zabidin , Gul Taza 
Published: November 2019

Abstract
The unsteady flow of nanoliquid film over a flexible surface has been inspected. The water and ethylene glycol are used as the base liquids for the graphene oxide platelets. The comparison of the two sorts of the nanoliquids has been used for the heat transfer enhancement applications. The thickness of the nanoliquid film kept variable under the influence of applied magnetic field and viscous dissipation. The governing equations for the flow problem have been altered into the set of nonlinear differential equations. The BVP 2.0 package has been used for the solution of the problem. The sum of the square residual error has been calculated up to the 10th order approximations. It has been observed that the graphene oxide ethylene glycol based nanofluid (GO-EG) has more efficient for the heat transfer enhancement as compared to the graphene oxide water based nanofluid (GO-W). The impact of the physical parameters has been plotted and discussed. The problem has been solved through homotopy analysis method (HAM) as described by Liao et al. [26]. This method is frequently used for the solution of nonlinear problems and show that this method is quickly convergent to the approximate solution. This method gives us series solution in the form of function and all the physical parameter of the problem involved in this method.
Formulation of Dusty Micropolar Fluid Mathematical Model
Authors: Dasman A , Arifin N S , Kasim A R M , Yacob N A 
Published: November 2019

Abstract
Dusty micropolar fluid model is a new generation of fluid model that is embedded with the dust particles which having micro rotation behavioural. The proposed model will incorporate with thermal boundary condition known as Newtonian heating (NH). This paper aims to present the details of formulation on mathematical model of dusty micropolar fluid starting with its basic equations until obtaining a set of solvable form of equations. The derivation of equations involves two set of equations which covering the fluid and dust phases respectively. In order to decrease the complexity, the respective model will be undergoing the suitable similarity transformations to transform the equations into the solvable form. The numerical solution presented by compared with previous study to check the validity of the model. The resulting equation will give advance understanding on dusty micropolar fluid model to the researchers especially mathematician and fluid mechanist.
Mixed Convection Flow of Brinkman Type Hybrid Nanofluid Based on Atangana-Baleanu Fractional Model
Authors: Shafie Sharidan , Saqib Muhammad , Khan Ilyas , Qushairi Ahmad 
Published: November 2019

Abstract
The industrial and engineering consumption of nanofluids is increased day by day due to successful implementation. The improved thermophysical properties play a vital role in the efficiency of nanofluids in convections processes. But this technology is not stopped here and reached to the next level by introducing hybrid nanofluids. Hence, this article is dedicated to focus on the mixed convection flow hybrid nanofluid. The hybridized nanoparticles of copper and alumina are dissolved in water as a base fluid to form a suspension. The Atangana-Baleanu fractional model is considered for flow demonstration over a vertical plate. The fractional PDE’s of the model is subjected to physical initial and boundary conditions. It is assumed that the electrically conducting laminar incompressible flow is under the influence of a magnetic field of variable direction. The Laplace transform technique is implemented to develop exact solutions for the problem under consideration. To explore the behavior of flow parameters, the obtained solutions are numerically computed and displayed in various figures with a physical explanation. It is found that the velocity and temperature profiles behave alike for fractional parameter α . Both the profiles decrease with increasing values of α . However, the trend of these profiles is opposite for volume concentration Φhnf
of hybrid nanofluid. The velocity profile decreases with increasing values of Φhnf
whereas, the temperature profile increases with increasing values of Φhnf
.
Numerical Analysis of Mass Transfer in MHD Nanoparticle Based Crude Oil Flow on a Flat Plate under Various Slip Condition
Authors: Jasim Hayder R , Mohamad M , Fayyadh Mohammed M , Alomari A Tuama , Abdulridha Ali A 
Published: November 2019

Abstract
This work analyzed of crude oil based nanofluid of Al
2
O
3, Cu, SWCNTs (single walled carbon nanotubes) the mass transfer in two dimensional MHD of incompressible steady, viscous and electrically conducting in the presence of magnetic field over a flat plate under various slip conditions. The result was obtained using similarity transformation and the fourth-fifth order Runge Kutta Fehlberg technique with shooting method using Maple 18. The velocity profile and the nanoparticle concentration were plotted for both low and high velocity slip conditions. Various effects of parameters were tested on the rate of skin friction and mass transfer. The effect that involves the magnetic parameter M, buoyancy ratio G, Schmidt number Sc, velocity slip parameter and nanoparticle volume fraction were analyzed. It was found that magnetic field with Grashof number and Schmidt number parameters are dominant on momentum and concentration dimensionless parameters. Copper with velocity slip 0.1 was higher shear stress then other materials as well as, for SWCNT with velocity slip 1.0 was lower shear stress. Furthermore, copper with velocity slip 0.1 is higher of mass transfer than other materials as well as oxide aluminium is lower compared to other materials with velocity slip 1.0.
MHD Effect on Nano-Maxwell fluid with Cobalt nanoparticles passing over a Plate with Porous medium
Authors: Aman Sidra , Hussanan Abid , Ismail Zulkhibri , Salleh Mohd Zuki 
Published: November 2019

Abstract
This article presents the study on the flow of Nano-Maxwell fluids with cobalt nanoparticles over a vertical plate in a porous medium. Free convection flow and magnetic effects are influencing the flow. The present problem is modelled in terms of PDE’s with boundary conditions. Non-dimensional variables are interposed to transform the governing equations into dimensionless form. The resulting equations are tackled via Laplace transform technique. Exact solutions are evaluated for velocity and temperature. These solutions are significantly controlled by some parameters involved. The present outcomes are compared with previous published results and briefly explained. Increasing the amount of cobalt nanoparticles in the Maxwell fluid causes enhancement in the thermal conductivity, the viscosity forces tend to strengthen as the fluids becomes denser.
Maclaurin Heat Coefficients and Associated Zeta Functions on Quaternionic Projective Spaces Pn(H) (n ≥ 1)
Authors: Awonusika Richard Olu 
Published: November 2019

Abstract
The heat invariants or the Minakshisundaram-Pleijel heat coefficients

a
k
n

=

a
k
n

(M) (k ≥ 0) describe the asymptotic expansion of the heat kernel HM on any N = 4 n-dimensional (n ≥ 1) compact Riemannian manifold M; associated with the coefficients

a
k
n

is the Minakshisundaram-Pleijel zeta function ζM = ζM(s) (s
∈ C). In this paper, we introduce and study a new class of heat coefficients, namely, the Maclaurin heat coefficients

b

2
m

n

=

b

2
m

n

(
t
)

(t > 0 , m 0) (i.e., the coefficients appearing in the Maclaurin expansion of the heat kernel HM(t, θ)) in terms of the classical and generalised Minakshisundaram-Pleijel coefficients

a
k
n

and

a

k
,
j

n
,
m

=

a

k
,
j

n
,
m

(M) (0 ⩽ j ⩽ m) respectively, when M = P
n
(H) (n ≥ 1), a quaternionic projective space. Remarkable asymptotic expansions for the Maclaurin spectral functions

b

2
m

n

(
t
)

are established. We also introduce and construct new zeta functions

Z

p
n

(
H
)

m

(m ≥ 0) associated with these Maclaurin heat coefficients (generalised Minakshisundaram-Pleijel zeta functions), and it is interesting to see that these generalised zeta functions can be explicitly understood in terms of the classical (Minakshisundaram-Pleijel) zeta functions.
Second Hankel determinant for bounded turning functions of order beta of certain subclasses of analytic functions
Authors: Yahya A , Tokachil M N 
Published: November 2019

Abstract
Let U(β, γ, t) denote the generalized class of normalized analytic univalent functions the unit disk, E = {Z:|Z|<1} and satisfy

Re
⁡

{

e

i
β

f
′

(
z
)

h
′

(
z
)

}

〉

γ

where

|
β
|

〈
π
,

c
o
s

(
β
)

〉
γ
,

0
⩽
γ
〈
1
,

h
′

(
z
)

=

1

(

1
−
t
z

)

(

1
−
z

)

,

−
1
〈

t
⩽
1

and z ∈ E. In this paper, we have found upper bound of second Hankel determinant,

|

a
2

a
4

−

a
3
2

|

for f { U (β, γ, t).
Existence of immovability lines of a partial mapping of Euclidean space E5
Authors: Matieva Gulbadan , Abdullayeva Cholpon , Ahmedov Anvarjon 
Published: November 2019

Abstract
It is considered a set of smooth lines such that through a point X ∈ Ω passed one line of given set in domain Ω ⊂ E5. The moving frame

ℜ
=

(

X
,

e
→

i
,

)

(

i
,
j
,
k
=

1
,
5

¯

)

is frame of Frenet for the line ω1 of the given set. Integral lines of the vector fields

e
→

i

are formed net ∑5 of Frenet. There exists a point

F
5
4

∈

(

X
,

e
→

5

)

on the tangent of the line ∑5. When a point X is shifted in the domain Ω the point

F
5
4

describes it’s domain

Ω
5
4

in E5. It is defined the partial mapping

f
5
4

:
Ω
→

Ω
5
4

, such that

f
5
4

:

(
X
)

=

F
5
4

. Necessary and sufficient conditions of immovability and degeneration of lines

(

X
,

e
→

1

)

,

(

X
,

e
→

2

)

and

(

X
,

e
→

3

)

in partial mapping

f
5
4

are obtained.
Algebraic operations on new interval neutrosophic vague sets
Authors: Hashim Hazwani , Abdullah Lazim , Al-Quran Ashraf 
Published: November 2019

Abstract
The interval neutrosophic set plays an important role to handle indeterminacy and inconsistency of information during decision making process. Recently, the interval neutrosophic vague sets have been proposed as an extension of the neutrosophic sets. Similar with other sets, this newly proposed set have to fulfill some algebraic operations. This paper aims to present algebraic operations for the interval neutrosophic vague sets. Some algebraic operations on interval neutrosophic vague set are introduced. Specifically, algebraic operations of addition, multiplication, scalar multiplication and power for the interval neutrosophic vague sets are presented. In addition, several related examples are also presented together with supporting proofs.
A Note of The Linear Equation AX = B with Multiplicatively-Reguler Matrix A in Semiring
Authors: Ariyanti Gregoria 
Published: November 2019

Abstract
Semiring is a form of generalization of the ring, where one or more conditions in the ring are removed. An element a is called multiplicatively-regular if there is x so axa = a. In real number algebra, a system of linear equations AX = B has a singular solution if a matrix A has an inverse. Elements of semiring which does not a zero element have no inverse of addition. By reviewing matrix A as a multiplicatively-regular, it is develop of necessary or sufficient condition of semiring. Given a matrix A with the right complement matrix A

r
satisfies AA

r
= 0. The sufficient condition of the linear equations system AX = B has a solution is there exist a matrix B satisfies AA

[openbullet]

B = B and a matrix A has a right complement matrix A

r
.
On solvability of some boundary value problems for the non-local polyharmonic equation with boundary operators of the Hadamard Type
Authors: Turmetov Batirkhan , Muratbekova Moldir , Ahmedov Anvarjon 
Published: November 2019

Abstract
In this paper the solvability problems of some boundary value problems for a non-local polyharmonic equation are studied. A non-local polyharmonic equation is represented by using some orthogonal matrix. The properties and examples of such matrices are given. In the current boundary value problem, which being considered in the paper, the fractional order differentiation operators are used as boundary operators. These operators are defined as derivatives of the Hadamard-Caputo type. Note that in particular cases of the parameters of the boundary conditions we obtain well known conditions of the Dirichlet, Neumann, and Robin type problems. For the problems under consideration, theorems on the existence and uniqueness of solutions are proved. The exact solvability conditions for the problem under study are found. In addition, we obtained representation for the solution of the fractional boundary problem for polyharmonic operator.
Transformation of the Mean Value of Integral On Fourier Series Expansion
Authors: Gunawan Gani , Harahap Erwin , Suwanda  
Published: November 2019

AbstractApproximation of sigma is a damping factor which is obtained through transformation of mean value of integral to the functionality expanded via Fourier series. Where the result of the transformation is in the form of oscillation function, so as to form a modified partial sums of Fourier series. Through modification of the partial sums of Fourier series, the leap (overshoot) near discontinuity points of the oscillations function can be suppressed.