**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**584

# Search results for: generalized Itō's formula

##### 584 Generalized Fuzzy Subalgebras and Fuzzy Ideals of BCI-Algebras with Operators

**Authors:**
Yuli Hu,
Shaoquan Sun

**Abstract:**

**Keywords:**
BCI-algebras with operators,
generalized fuzzy subalgebras,
generalized fuzzy ideals,
generalized fuzzy quotient algebras.

##### 583 Improvement of Gregory's formula using Particle Swarm Optimization

**Authors:**
N. Khelil. L. Djerou ,
A. Zerarka,
M. Batouche

**Abstract:**

**Keywords:**
Numerical integration,
Gregory Formula,
Particle Swarm optimization.

##### 582 An Iterative Algorithm to Compute the Generalized Inverse A(2) T,S Under the Restricted Inner Product

**Authors:**
Xingping Sheng

**Abstract:**

**Keywords:**
Generalized inverse A(2)
T,
S,
Restricted inner product,
Iterative method,
Orthogonal projection.

##### 581 The New Relative Efficiency Based on the Least Eigenvalue in Generalized Linear Model

**Authors:**
Chao Yuan,
Bao Guang Tian

**Abstract:**

**Keywords:**
Generalized linear model,
generalized relative coefficient,
least eigenvalue,
relative efficiency.

##### 580 Developing a Simple and an Accurate Formula for the Conduction Angle of a Single Phase Rectifier with RL Load

**Authors:**
S. Ali Al-Mawsawi,
Fadhel A. Albasri

**Abstract:**

**Keywords:**
Conduction Angle,
Firing Angle,
Excitation Angle,
Load Angle.

##### 579 Flow Properties of Commercial Infant Formula Powders

**Authors:**
Maja Benkovic,
Ingrid Bauman

**Abstract:**

**Keywords:**
flow properties,
infant formula,
powderedmaterial

##### 578 All Proteins Have a Basic Molecular Formula

**Authors:**
Homa Torabizadeh

**Abstract:**

**Keywords:**
Protein molecular formula,
Basic unit formula,
Protparam tool.

##### 577 Generalized Chebyshev Collocation Method

**Authors:**
Junghan Kim,
Wonkyu Chung,
Sunyoung Bu,
Philsu Kim

**Abstract:**

In this paper, we introduce a generalized Chebyshev collocation method (GCCM) based on the generalized Chebyshev polynomials for solving stiff systems. For employing a technique of the embedded Runge-Kutta method used in explicit schemes, the property of the generalized Chebyshev polynomials is used, in which the nodes for the higher degree polynomial are overlapped with those for the lower degree polynomial. The constructed algorithm controls both the error and the time step size simultaneously and further the errors at each integration step are embedded in the algorithm itself, which provides the efficiency of the computational cost. For the assessment of the effectiveness, numerical results obtained by the proposed method and the Radau IIA are presented and compared.

**Keywords:**
Generalized Chebyshev Collocation method,
Generalized Chebyshev Polynomial,
Initial value problem.

##### 576 (T1, T2)*- Semi Star Generalized Locally Closed Sets

**Authors:**
M. Sundararaman,
K. Chandrasekhara Rao

**Abstract:**

The aim of this paper is to continue the study of (T1, T2)-semi star generalized closed sets by introducing the concepts of (T1, T2)-semi star generalized locally closed sets and study their basic properties in bitopological spaces.

**Keywords:**
(T1,
T2)*-semi star generalized locally closed sets,
T1T2-semi star generalized closed sets.

##### 575 The Baer Radical of Rings in Term of Prime and Semiprime Generalized Bi-ideals

**Authors:**
Rattiya Boonruang,
Aiyared Iampan

**Abstract:**

**Keywords:**
ring,
prime and semiprime (generalized) bi-ideal,
Baer
radical.

##### 574 Flutter Analysis of Slender Beams with Variable Cross Sections Based on Integral Equation Formulation

**Authors:**
Z. El Felsoufi,
L. Azrar

**Abstract:**

This paper studies a mathematical model based on the integral equations for dynamic analyzes numerical investigations of a non-uniform or multi-material composite beam. The beam is subjected to a sub-tangential follower force and elastic foundation. The boundary conditions are represented by generalized parameterized fixations by the linear and rotary springs. A mathematical formula based on Euler-Bernoulli beam theory is presented for beams with variable cross-sections. The non-uniform section introduces non-uniformity in the rigidity and inertia of beams and consequently, more complicated equilibrium who governs the equation. Using the boundary element method and radial basis functions, the equation of motion is reduced to an algebro-differential system related to internal and boundary unknowns. A generalized formula for the deflection, the slope, the moment and the shear force are presented. The free vibration of non-uniform loaded beams is formulated in a compact matrix form and all needed matrices are explicitly given. The dynamic stability analysis of slender beam is illustrated numerically based on the coalescence criterion. A realistic case related to an industrial chimney is investigated.

**Keywords:**
Chimney,
BEM and integral equation formulation,
non uniform cross section,
vibration and Flutter.

##### 573 Establishing a New Simple Formula for Buckling Length Factor (K) of Rigid Frames Columns

**Authors:**
Ehab Hasan Ahmed Hasan Ali

**Abstract:**

**Keywords:**
Buckling length,
New formula,
Curve fitting,
Simplification,
Steel column design.

##### 572 Convergence Analysis of the Generalized Alternating Two-Stage Method

**Authors:**
Guangbin Wang,
Liangliang Li,
Fuping Tan

**Abstract:**

In this paper, we give the generalized alternating twostage method in which the inner iterations are accomplished by a generalized alternating method. And we present convergence results of the method for solving nonsingular linear systems when the coefficient matrix of the linear system is a monotone matrix or an H-matrix.

**Keywords:**
Generalized alternating two-stage method,
linear system,
convergence.

##### 571 Regular Generalized Star Star closed sets in Bitopological Spaces

**Authors:**
K. Kannan,
D. Narasimhan,
K. Chandrasekhara Rao,
R. Ravikumar

**Abstract:**

The aim of this paper is to introduce the concepts of τ1τ2-regular generalized star star closed sets , τ1τ2-regular generalized star star open sets and study their basic properties in bitopological spaces.

**Keywords:**
τ1τ2-regular closed sets,
τ1τ2-regular open sets,
τ1τ2-regular generalized closed sets,
τ1τ2-regular generalized star
closed sets,
τ1τ2-regular generalized star star closed sets.

##### 570 A Generalized Framework for Working with Multiagent Systems

**Authors:**
Debal Saha,
NirmalBaranHui

**Abstract:**

The present paper discusses the basic concepts and the underlying principles of Multi-Agent Systems (MAS) along with an interdisciplinary exploitation of these principles. It has been found that they have been utilized for lots of research and studies on various systems spanning across diverse engineering and scientific realms showing the need of development of a proper generalized framework. Such framework has been developed for the Multi-Agent Systems and it has been generalized keeping in mind the diverse areas where they find application. All the related aspects have been categorized and a general definition has been given where ever possible.

**Keywords:**
Generalized framework,
multiagent systems.

##### 569 On Properties of Generalized Bi-Γ-Ideals of Γ-Semirings

**Authors:**
Teerayut Chomchuen,
Aiyared Iampan

**Abstract:**

The notion of Γ-semirings was introduced by Murali Krishna Rao as a generalization of the notion of Γ-rings as well as of semirings. We have known that the notion of Γ-semirings is a generalization of the notion of semirings. In this paper, extending Kaushik, Moin and Khan’s work, we generalize the notion of generalized bi-Γ-ideals of Γ-semirings and investigate some related properties of generalized bi-Γ-ideals.

**Keywords:**
Γ-semiring,
bi-Γ-ideal,
generalized bi-Γ-ideal.

##### 568 Solving Linear Matrix Equations by Matrix Decompositions

**Authors:**
Yongxin Yuan,
Kezheng Zuo

**Abstract:**

In this paper, a system of linear matrix equations is considered. A new necessary and sufficient condition for the consistency of the equations is derived by means of the generalized singular-value decomposition, and the explicit representation of the general solution is provided.

**Keywords:**
Matrix equation,
Generalized inverse,
Generalized
singular-value decomposition.

##### 567 Restarted Generalized Second-Order Krylov Subspace Methods for Solving Quadratic Eigenvalue Problems

**Authors:**
Liping Zhou,
Liang Bao,
Yiqin Lin,
Yimin Wei,
Qinghua Wu

**Abstract:**

**Keywords:**
Quadratic eigenvalue problem,
Generalized secondorder Krylov subspace,
Generalized second-order Arnoldi process,
Projection technique,
Refined technique,
Restarting.

##### 566 Minimization Problems for Generalized Reflexive and Generalized Anti-Reflexive Matrices

**Authors:**
Yongxin Yuan

**Abstract:**

Let R ∈ Cm×m and S ∈ Cn×n be nontrivial unitary involutions, i.e., RH = R = R−1 = ±Im and SH = S = S−1 = ±In. A ∈ Cm×n is said to be a generalized reflexive (anti-reflexive) matrix if RAS = A (RAS = −A). Let ρ be the set of m × n generalized reflexive (anti-reflexive) matrices. Given X ∈ Cn×p, Z ∈ Cm×p, Y ∈ Cm×q and W ∈ Cn×q, we characterize the matrices A in ρ that minimize AX−Z2+Y HA−WH2, and, given an arbitrary A˜ ∈ Cm×n, we find a unique matrix among the minimizers of AX − Z2 + Y HA − WH2 in ρ that minimizes A − A˜. We also obtain sufficient and necessary conditions for existence of A ∈ ρ such that AX = Z, Y HA = WH, and characterize the set of all such matrices A if the conditions are satisfied. These results are applied to solve a class of left and right inverse eigenproblems for generalized reflexive (anti-reflexive) matrices.

**Keywords:**
approximation,
generalized reflexive matrix,
generalized
anti-reflexive matrix,
inverse eigenvalue problem.

##### 565 Generalized Chaplygin Gas and Varying Bulk Viscosity in Lyra Geometry

**Authors:**
A. K. Sethi,
R. N. Patra,
B. Nayak

**Abstract:**

In this paper, we have considered Friedmann-Robertson-Walker (FRW) metric with generalized Chaplygin gas which has viscosity in the context of Lyra geometry. The viscosity is considered in two different ways (i.e. zero viscosity, non-constant *r* (rho)-dependent bulk viscosity) using constant deceleration parameter which concluded that, for a special case, the viscous generalized Chaplygin gas reduces to modified Chaplygin gas. The represented model indicates on the presence of Chaplygin gas in the Universe. Observational constraints are applied and discussed on the physical and geometrical nature of the Universe.

**Keywords:**
Bulk viscosity,
Lyra geometry,
generalized Chaplygin gas,
cosmology.

##### 564 Weyl Type Theorem and the Fuglede Property

**Authors:**
M. H. M. Rashid

**Abstract:**

**Keywords:**
Fuglede Property,
Weyl’s theorem,
generalized
derivation,
Aluthge Transformation.

##### 563 Implementation of Generalized Plasticity in Load-Deformation Behavior of Foundation with Emphasis on Localization Problem

**Authors:**
A. H. Akhaveissy

**Abstract:**

**Keywords:**
Localization phenomena,
Generalized plasticity,
Non-associated Flow Rule

##### 562 On Fourier Type Integral Transform for a Class of Generalized Quotients

**Authors:**
A. S. Issa,
S. K. Q. AL-Omari

**Abstract:**

**Keywords:**
Fourier type integral,
Fourier integral,
generalized
quotient,
Boehmian,
distribution.

##### 561 The Induced Generalized Hybrid Averaging Operator and its Application in Financial Decision Making

**Authors:**
José M. Merigó,
Montserrat Casanovas

**Abstract:**

**Keywords:**
Decision making,
Aggregation operators,
OWA operator,
Generalized means,
Selection of investments.

##### 560 An Asymptotic Formula for Pricing an American Exchange Option

**Authors:**
Hsuan-Ku Liu

**Abstract:**

In this paper, the American exchange option (AEO) valuation problem is modelled as a free boundary problem. The critical stock price for an AEO is satisfied an integral equation implicitly. When the remaining time is large enough, an asymptotic formula is provided for pricing an AEO. The numerical results reveal that our asymptotic pricing formula is robust and accurate for the long-term AEO.

**Keywords:**
Integral equation,
asymptotic solution,
free boundary problem,
American exchange option.

##### 559 Behrens-Fisher Problem with One Variance Unknown

**Authors:**
Sa-aat Niwitpong,
Rada Somkhuean,
Suparat Niwitpong

**Abstract:**

This paper presents the generalized p-values for testing the Behrens-Fisher problem when one variance is unknown. We also derive a closed form expression of the upper bound of the proposed generalized p-value.

**Keywords:**
Generalized p-value,
hypothesis testing,
upper bound.

##### 558 Adomian Method for Second-order Fuzzy Differential Equation

**Authors:**
Lei Wang,
Sizong Guo

**Abstract:**

In this paper, we study the numerical method for solving second-order fuzzy differential equations using Adomian method under strongly generalized differentiability. And, we present an example with initial condition having four different solutions to illustrate the efficiency of the proposed method under strongly generalized differentiability.

**Keywords:**
Fuzzy-valued function,
fuzzy initial value problem,
strongly generalized differentiability,
adomian decomposition method.

##### 557 Decomposition of Homeomorphism on Topological Spaces

**Authors:**
Ahmet Z. Ozcelik,
Serkan Narli

**Abstract:**

**Keywords:**
Generalized closed set,
homeomorphism,
gsghomeomorphism,
sgs-homeomorphism.

##### 556 Complex-Valued Neural Network in Signal Processing: A Study on the Effectiveness of Complex Valued Generalized Mean Neuron Model

**Authors:**
Anupama Pande,
Ashok Kumar Thakur,
Swapnoneel Roy

**Abstract:**

**Keywords:**
Complex valued neural network,
Generalized Meanneuron model,
Signal processing.

##### 555 Upper Bound of the Generalize p-Value for the Behrens-Fisher Problem with a Known Ratio of Variances

**Authors:**
Rada Somkhuean,
Suparat Niwitpong,
Sa-aat Niwitpong

**Abstract:**

This paper presents the generalized p-values for testing the Behrens-Fisher problem when a ratio of variance is known. We also derive a closed form expression of the upper bound of the proposed generalized p-value.

**Keywords:**
Generalized p-value,
hypothesis testing,
ratio of variances,
upper bound.