**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**695

# Search results for: Analytic geometry

##### 695 Jointly Learning Python Programming and Analytic Geometry

**Authors:**
Cristina-Maria Păcurar

**Abstract:**

**Keywords:**
Analytic geometry,
conics,
Python programming language,
quadrics.

##### 694 Winding Numbers of Paths of Analytic Functions Zeros in Finite Quantum Systems

**Authors:**
Muna Tabuni

**Abstract:**

The paper contains an investigation of winding numbers of paths of zeros of analytic theta functions. We have considered briefly an analytic representation of finite quantum systems ZN. The analytic functions on a torus have exactly N zeros. The brief introduction to the zeros of analytic functions and there time evolution is given. We have discussed the periodic finite quantum systems. We have introduced the winding numbers in general. We consider the winding numbers of the zeros of analytic theta functions.

**Keywords:**
Winding numbers,
period,
paths of zeros.

##### 693 Identification of Configuration Space Singularities with Local Real Algebraic Geometry

**Authors:**
Marc Diesse,
Hochschule Heilbronn

**Abstract:**

**Keywords:**
Linkages,
configuration space singularities,
real
algebraic geometry,
analytic geometry,
computer algebra.

##### 692 Computing Center Conditions for Non-analytic Vector Fields with Constant Angular Speed

**Authors:**
Li Feng

**Abstract:**

We investigate the planar quasi-septic non-analytic systems which have a center-focus equilibrium at the origin and whose angular speed is constant. The system could be changed into an analytic system by two transformations, with the help of computer algebra system MATHEMATICA, the conditions of uniform isochronous center are obtained.

**Keywords:**
Non-analytic,
center–focus problem,
Lyapunov constant,
uniform isochronous center.

##### 691 Zeros of Bargmann Analytic Representation in the Complex Plane

**Authors:**
Muna Tabuni

**Abstract:**

The paper contains an investigation of zeros Of Bargmann analytic representation. A brief introduction to Harmonic oscillator formalism is given. The Bargmann analytic representation has been studied. The zeros of Bargmann analytic function are considered. The Q or Husimi functions are introduced. The The Bargmann functions and the Husimi functions have the same zeros. The Bargmann functions f(z) have exactly q zeros. The evolution time of the zeros μn are discussed. Various examples have been given.

**Keywords:**
Bargmann functions,
Husimi functions,
zeros.

##### 690 Analytic and Finite Element Solutions for Temperature Profiles in Welding using Varied Heat Source Models

**Authors:**
Djarot B. Darmadi,
John Norrish,
Anh Kiet Tieu

**Abstract:**

**Keywords:**
Analytic solution,
FEM,
Temperature profile,
HeatSource Model

##### 689 Certain Subordination Results For A Class Of Analytic Functions Defined By The Generalized Integral Operator

**Authors:**
C. Selvaraj,
K. R. Karthikeyan

**Abstract:**

**Keywords:**
Analytic functions,
Hadamard product,
Subordinating factor sequence

##### 688 An Ontology for Knowledge Representation and Applications

**Authors:**
Nhon Do

**Abstract:**

**Keywords:**
Artificial intelligence,
knowledge representation,
knowledge base system,
ontology.

##### 687 Open Problems on Zeros of Analytic Functions in Finite Quantum Systems

**Authors:**
Muna Tabuni

**Abstract:**

The paper contains an investigation on basic problems about the zeros of analytic theta functions. A brief introduction to analytic representation of finite quantum systems is given. The zeros of this function and there evolution time are discussed. Two open problems are introduced. The first problem discusses the cases when the zeros follow the same path. As the basis change the quantum state |f transforms into different quantum state. The second problem is to define a map between two toruses where the domain and the range of this map are the analytic functions on toruses.

**Keywords:**
open problems,
constraint,
change of basis.

##### 686 Frequency Estimation Using Analytic Signal via Wavelet Transform

**Authors:**
Sudipta Majumdar,
Akansha Singh

**Abstract:**

**Keywords:**
Frequency estimation,
analytic signal,
maximum
entropy method,
wavelet transform.

##### 685 An Algorithm for Computing the Analytic Singular Value Decomposition

**Authors:**
Drahoslava Janovska,
Vladimir Janovsky,
Kunio Tanabe

**Abstract:**

A proof of convergence of a new continuation algorithm for computing the Analytic SVD for a large sparse parameter– dependent matrix is given. The algorithm itself was developed and numerically tested in [5].

**Keywords:**
Analytic Singular Value Decomposition,
large sparse
parameter–dependent matrices,
continuation algorithm of a predictorcorrector
type.

##### 684 Empirical Mode Decomposition with Wavelet Transform Based Analytic Signal for Power Quality Assessment

**Authors:**
Sudipta Majumdar,
Amarendra Kumar Mishra

**Abstract:**

**Keywords:**
Empirical mode decomposition,
Hilbert transform,
wavelet transform.

##### 683 Subclasses of Bi-Univalent Functions Associated with Hohlov Operator

**Authors:**
Rashidah Omar,
Suzeini Abdul Halim,
Aini Janteng

**Abstract:**

The coefficients estimate problem for Taylor-Maclaurin series is still an open problem especially for a function in the subclass of bi-univalent functions. A function *f *ϵ* A *is said to be bi-univalent in the open unit disk *D* if both *f *and *f ^{-1}* are univalent in

*D*. The symbol

*A*denotes the class of all analytic functions

*f*in

*D*and it is normalized by the conditions

*f*(0) =

*f’*(0) – 1=0. The class of bi-univalent is denoted by The subordination concept is used in determining second and third Taylor-Maclaurin coefficients. The upper bound for second and third coefficients is estimated for functions in the subclasses of bi-univalent functions which are subordinated to the function φ. An analytic function

*f*is subordinate to an analytic function

*g*if there is an analytic function

*w*defined on

*D*with

*w*(0) = 0 and |

*w*(z)| < 1 satisfying

*f*(

*z*) =

*g*[

*w*(

*z*)]. In this paper, two subclasses of bi-univalent functions associated with Hohlov operator are introduced. The bound for second and third coefficients of functions in these subclasses is determined using subordination. The findings would generalize the previous related works of several earlier authors.

**Keywords:**
Analytic functions,
bi-univalent functions,
Hohlov operator,
subordination.

##### 682 Analytic on Various Grounding Configurations in Uniform Layer Soil

**Authors:**
Mohd Shahriman B. Mohd Yunus,
Mohd Hanif B. Jamaludin,
Norain Bt. Bahror

**Abstract:**

The performance of an embedded grounding system is very important for the safe operation of electrical appliances and human beings. In principle, a safe grounding system has two objectives, which are to dissipate fault current without exceeding any operating and equipment limits and to ensure there is no risk of electric shock to humans in the vicinity of earthed facilities. The case studies in this paper present the calculating grounding resistance for multiple configurations of vertical and horizontally by using a simple and accurate formula. From the analytic calculated results, observed good/empirical relationship between the grounding resistance and length of the embedded grounding configurations. Moreover, the configurations of vertical and horizontal observed effectiveness of grounding resistance and good agreement on the reduction of grounding resistance values especially for vertical configuration.

**Keywords:**
Grounding system,
grounding resistance,
soil resistivity,
electrode geometry,
configurations.

##### 681 Fekete-Szeg¨o Problem for Subclasses of Analytic Functions Defined by New Integral Operator

**Authors:**
Khalifa AlShaqsi

**Abstract:**

The author introduced the integral operator , by using this operator a new subclasses of analytic functions are introduced. For these classes, several Fekete-Szeg¨ type coefficient inequalities are obtained.

**Keywords:**
Integral operator,
Fekete-Szeg¨ inequalities,
Analytic
functions.

##### 680 A Meta-Analytic Path Analysis of e-Learning Acceptance Model

**Authors:**
David W.S. Tai,
Ren-Cheng Zhang,
Sheng-Hung Chang,
Chin-Pin Chen,
Jia-Ling Chen

**Abstract:**

This study reports results of a meta-analytic path analysis e-learning Acceptance Model with k = 27 studies, Databases searched included Information Sciences Institute (ISI) website. Variables recorded included perceived usefulness, perceived ease of use, attitude toward behavior, and behavioral intention to use e-learning. A correlation matrix of these variables was derived from meta-analytic data and then analyzed by using structural path analysis to test the fitness of the e-learning acceptance model to the observed aggregated data. Results showed the revised hypothesized model to be a reasonable, good fit to aggregated data. Furthermore, discussions and implications are given in this article.

**Keywords:**
E-learning,
Meta Analytic Path Analysis,
Technology
Acceptance Model

##### 679 Fourier Spectral Method for Analytic Continuation

**Authors:**
Zhenyu Zhao,
Lei You

**Abstract:**

The numerical analytic continuation of a function f(z) = f(x + iy) on a strip is discussed in this paper. The data are only given approximately on the real axis. The periodicity of given data is assumed. A truncated Fourier spectral method has been introduced to deal with the ill-posedness of the problem. The theoretic results show that the discrepancy principle can work well for this problem. Some numerical results are also given to show the efficiency of the method.

**Keywords:**
Analytic continuation,
ill-posed problem,
regularization method Fourier spectral method,
the discrepancy principle.

##### 678 Computational Networks for Knowledge Representation

**Authors:**
Nhon Van Do

**Abstract:**

**Keywords:**
Artificial intelligence,
artificial intelligence and
education,
knowledge engineering,
knowledge representation.

##### 677 Numerical Analysis of Laminar Mixed Convection within a Complex Geometry

**Authors:**
Y. Lasbet,
A. L. Boukhalkhal,
K. Loubar

**Abstract:**

**Keywords:**
Complex geometry,
heat transfer,
laminar flow,
mixed convection,
Nusselt number.

##### 676 Function of Fractals: Application of Non-linear Geometry in Continental Architecture

**Authors:**
Mohammadsadegh Zanganehfar

**Abstract:**

Since the introduction of fractal geometry in 1970, numerous efforts have been made by architects and researchers to transfer this area of mathematical knowledge in the discipline of architecture and postmodernist discourse. The discourse of complexity and architecture is one of the most significant ongoing discourses in the discipline of architecture from the 70's until today and has generated significant styles such as deconstructivism and parametricism in architecture. During these years, several projects were designed and presented by designers and architects using fractal geometry, but due to the lack of sufficient knowledge and appropriate comprehension of the features and characteristics of this nonlinear geometry, none of the fractal-based designs have been successful and satisfying. Fractal geometry as a geometric technology has a long presence in the history of architecture. The current research attempts to identify and discover the characteristics, features, potentials and functionality of fractals despite their aesthetic aspect by examining case studies of pre-modern architecture in Asia and investigating the function of fractals.

**Keywords:**
Asian architecture,
fractal geometry,
fractal technique,
geometric properties

##### 675 Comparing the Performance of the Particle Swarm Optimization and the Genetic Algorithm on the Geometry Design of Longitudinal Fin

**Authors:**
Hassan Azarkish,
Said Farahat,
S.Masoud H. Sarvari

**Abstract:**

**Keywords:**
Genetic Algorithm,
Geometry Optimization,
longitudinal Fin,
Particle Swarm Optimization

##### 674 A Geometrical Perspective on the Insulin Evolution

**Authors:**
Yuhei Kunihiro,
Sorin V. Sabau,
Kazuhiro Shibuya

**Abstract:**

We study the molecular evolution of insulin from metric geometry point of view. In mathematics, and in particular in geometry, distances and metrics between objects are of fundamental importance. Using a weaker notion than the classical distance, namely the weighted quasi-metrics, one can study the geometry of biological sequences (DNA, mRNA, or proteins) space. We analyze from geometrical point of view a family of 60 insulin homologous sequences ranging on a large variety of living organisms from human to the nematode C. elegans. We show that the distances between sequences provide important information about the evolution and function of insulin.

**Keywords:**
Metric geometry,
evolution,
insulin.

##### 673 A New Analytic Solution for the Heat Conduction with Time-Dependent Heat Transfer Coefficient

**Authors:**
Te Wen Tu,
Sen Yung Lee

**Abstract:**

An alternative approach is proposed to develop the analytic solution for one dimensional heat conduction with one mixed type boundary condition and general time-dependent heat transfer coefficient. In this study, the physic meaning of the solution procedure is revealed. It is shown that the shifting function takes the physic meaning of the reciprocal of Biot function in the initial time. Numerical results show the accuracy of this study. Comparing with those given in the existing literature, the difference is less than 0.3%.

**Keywords:**
Analytic solution,
heat transfer coefficient,
shifting function method,
time-dependent boundary condition.

##### 672 Geometry Design Supported by Minimizing and Visualizing Collision in Dynamic Packing

**Authors:**
Johan Segeborn,
Johan S. Carlson,
Robert Bohlin,
Rikard Söderberg

**Abstract:**

**Keywords:**
Dynamic packing,
path planning,
shrinking.

##### 671 The Multi-objective Optimization for the SLS Process Parameters Based on Analytic Hierarchy Process

**Authors:**
Yang Laixia,
Deng Jun,
Li Dichen,
Bai Yang

**Abstract:**

**Keywords:**
Analytic Hierarchy Process,
Multi-objective
optimization,
Orthogonal test,
Selective Laser Sintering

##### 670 An Application of Differential Subordination to Analytic Functions

**Authors:**
Sukhwinder Singh Billing,
Sushma Gupta,
Sukhjit Singh Dhaliwal

**Abstract:**

the present paper, using the technique of differential subordination, we obtain certain results for analytic functions defined by a multiplier transformation in the open unit disc E = { z : IzI < 1}. We claim that our results extend and generalize the existing results in this particular direction

**Keywords:**
function,
Differential subordination,
Multiplier transformation.

##### 669 The Leaves of a Tree

**Authors:**
Zhu Jiaming,
Yu Mengna

**Abstract:**

**Keywords:**
Leaf shape; Mass; Fuzzy cluster; Regression analysis;
Eviews; Matlab

##### 668 A New Vision of Fractal Geometry with Triangulati on Algorithm

**Authors:**
Yasser M. Abd El-Latif,
Fatma S.Abousaleh,
Daoud S. S.

**Abstract:**

L-system is a tool commonly used for modeling and simulating the growth of fractal plants. The aim of this paper is to join some problems of the computational geometry with the fractal geometry by using the L-system technique to generate fractal plant in 3D. L-system constructs the fractal structure by applying rewriting rules sequentially and this technique depends on recursion process with large number of iterations to get different shapes of 3D fractal plants. Instead, it was reiterated a specific number of iterations up to three iterations. The vertices generated from the last stage of the Lsystem rewriting process are used as input to the triangulation algorithm to construct the triangulation shape of these vertices. The resulting shapes can be used as covers for the architectural objects and in different computer graphics fields. The paper presents a gallery of triangulation forms which application in architecture creates an alternative for domes and other traditional types of roofs.

**Keywords:**
Computational geometry,
fractal geometry,
L-system,
triangulation.

##### 667 A Continuous Real-Time Analytic for Predicting Instability in Acute Care Rapid Response Team Activations

**Authors:**
Ashwin Belle,
Bryce Benson,
Mark Salamango,
Fadi Islim,
Rodney Daniels,
Kevin Ward

**Abstract:**

A reliable, real-time, and non-invasive system that can identify patients at risk for hemodynamic instability is needed to aid clinicians in their efforts to anticipate patient deterioration and initiate early interventions. The purpose of this pilot study was to explore the clinical capabilities of a real-time analytic from a single lead of an electrocardiograph to correctly distinguish between rapid response team (RRT) activations due to hemodynamic (H-RRT) and non-hemodynamic (NH-RRT) causes, as well as predict H-RRT cases with actionable lead times. The study consisted of a single center, retrospective cohort of 21 patients with RRT activations from step-down and telemetry units. Through electronic health record review and blinded to the analytic’s output, each patient was categorized by clinicians into H-RRT and NH-RRT cases. The analytic output and the categorization were compared. The prediction lead time prior to the RRT call was calculated. The analytic correctly distinguished between H-RRT and NH-RRT cases with 100% accuracy, demonstrating 100% positive and negative predictive values, and 100% sensitivity and specificity. In H-RRT cases, the analytic detected hemodynamic deterioration with a median lead time of 9.5 hours prior to the RRT call (range 14 minutes to 52 hours). The study demonstrates that an electrocardiogram (ECG) based analytic has the potential for providing clinical decision and monitoring support for caregivers to identify at risk patients within a clinically relevant timeframe allowing for increased vigilance and early interventional support to reduce the chances of continued patient deterioration.

**Keywords:**
Critical care,
early warning systems,
emergency medicine,
heart rate variability,
hemodynamic instability,
rapid response team.

##### 666 Differential Sandwich Theorems with Generalised Derivative Operator

**Authors:**
Maslina Darus,
Khalifa Al-Shaqsi

**Abstract:**

**Keywords:**
Analytic functions,
Univalent functions,
Derivative operator,
Differential subordination,
Differential superordination.