An Optimal Threshold Strategy In The Two-Envelope Problem With Partial Information, 2015 Universidad de la Republica Oriental del Uruguay

#### An Optimal Threshold Strategy In The Two-Envelope Problem With Partial Information, Martin Egozcue, Luis Fuentes García

*Martin Egozcue*

No abstract provided.

Helping A Microfinance Institution Select Its Clients: A Risk Analysis Using Social Networks, 2015 College of Wooster

#### Helping A Microfinance Institution Select Its Clients: A Risk Analysis Using Social Networks, Sayantan Mitra, Varunavi Newar

*Black & Gold*

This paper formulates an objective mathematical model for a Microfinance Institution (MFI) to measure the credit worthiness associated with a potential client. We use concepts from network theory to determine the credit worthiness of an individual in relation to other households in the community. We use the concept of eigenvector centrality to evaluate the relative credit worthiness in the network. The latter part of the model focuses on the absolute measures of credit worthiness such as income, ownership of assets and risk of the proposed investment. This model would help MFIs reduce the risk of borrowing by ensuring that there ...

Solving Ordinary Differential Equations Using Differential Forms And Lie Groups, 2015 Liberty University

#### Solving Ordinary Differential Equations Using Differential Forms And Lie Groups, Richard M. Shumate

*Senior Honors Theses*

Differential equations have bearing on practically every scientific field. Though they are prevalent in nature, they can be challenging to solve. Most of the work done in differential equations is dependent on the use of many methods to solve particular types of equations. Sophus Lie proposed a modern method of solving ordinary differential equations in the 19th century along with a coordinate free variation of finding the infinitesimal generator by combining the influential work of Élie Cartan among others in the field of differential geometry. The driving idea behind using symmetries to solve differential equations is that there exists a ...

Complementary Effect Of Electrical And Inhibitory Coupling In Bursting Synchronization, 2015 Georgia State University

#### Complementary Effect Of Electrical And Inhibitory Coupling In Bursting Synchronization, Kevin Daley

*Georgia State Undergraduate Research Conference*

gsurc 2015

Quantitative And Qualitative Stability Analysis Of Polyrhythmic Circuits, 2015 Georgia State University

#### Quantitative And Qualitative Stability Analysis Of Polyrhythmic Circuits, Drake Knapper

*Georgia State Undergraduate Research Conference*

No abstract provided.

Mathematical Analysis Of Uniform Polyhedron (Trapezohedron) Having 2n Congruent Right Kite Faces, 4n Edges & 2n+2 Vertices Lying On A Spherical Surface By H.C. Rajpoot), 2015 M.M.M. University of Technology, Gorakhpur-273010 (UP) India

#### Mathematical Analysis Of Uniform Polyhedron (Trapezohedron) Having 2n Congruent Right Kite Faces, 4n Edges & 2n+2 Vertices Lying On A Spherical Surface By H.C. Rajpoot), Harish Chandra Rajpoot Rajpoot Hcr

*Harish Chandra Rajpoot H.C. Rajpoot*

The generalized formula are applicable on any uniform polyhedron having 2n congruent right kite faces, 4n edges & 2n+2 vertices lying on a spherical surface with a certain radius. These formula have been derived by the author Mr H.C. Rajpoot to analyse infinite no. of the uniform polyhedrons having congruent right kite faces simply by setting n=3,4,5,6,7,………………upto infinity, to calculate all the important parameters such as ratio of unequal edges, outer radius, inner radius, mean radius, surface area, volume, solid angles subtended by the polyhedron at its vertices, dihedral angles between the adjacent ...

Optimal Control Of A Switched Autonomous System With Time Delay Arising In Fed-Batch Processes, 2015 Shandong Institute of Business and Technology

#### Optimal Control Of A Switched Autonomous System With Time Delay Arising In Fed-Batch Processes, Chongyang Liu

*Chongyang Liu*

In this paper, we propose a switched autonomous system with time delay to model the 1,3-propanediol (1,3-PD) production in a fed-batch process. Taking the switching instants and the terminal time as the control variables, we formulate a constrained time-delayed optimal control (CTOC) problem to optimize the 1,3-PD production process. Using a time-scaling transformation and parametrizing the switching instants into new parameters, an equivalent CTOC problem is investigated. A numerical solution method is then developed to seek the optimal control strategy. This method is based on the constraint transcription technique and the gradients of the cost functional together ...

Structure And Study Of Elements In Ternary Γ-Semigroups, 2015 Innovative Research Publications

#### Structure And Study Of Elements In Ternary Γ-Semigroups, Innovative Research Publications Irp India, D. Madhusudhana Rao, M. Vasantha, M. Venkateswara Rao

*Innovative Research Publications IRP India*

In this paper we introduce the notion of a ternary Γ- semigroup is introduced and some examples are given. Further the terms commutative ternary Γ-semigroup, quasi commutative ternary Γ-semigroup, normal ternary Γ- semigroup, left pseudo commutative ternary Γ-semigroup, right pseudo commutative ternary Γ-semigroup are introduced and characterized them. In section 2, the terms; ternary Γ-subsemigroup, ternary Γ-subsemigroup generated by a subset, cyclic ternary Γ-subsemigroup of a ternary Γ-semigroup and cyclic ternary Γ-semigroup are introduced and characterized them In section 3, we discussed some special elements of a ternary Γ-semigroups and characterized them.

Structure And Study Of Elements In Ternary Γ-Semigroups, 2015 Innovative Research Publications

#### Structure And Study Of Elements In Ternary Γ-Semigroups, Innovative Research Publications Irp India, D. Madhusudhana Rao, M. Vasantha, M. Venkateswara Rao

*Innovative Research Publications IRP India*

In this paper we introduce the notion of a ternary Γ- semigroup is introduced and some examples are given. Further the terms commutative ternary Γ-semigroup, quasi commutative ternary Γ-semigroup, normal ternary Γ- semigroup, left pseudo commutative ternary Γ-semigroup, right pseudo commutative ternary Γ-semigroup are introduced and characterized them. In section 2, the terms; ternary Γ-subsemigroup, ternary Γ-subsemigroup generated by a subset, cyclic ternary Γ-subsemigroup of a ternary Γ-semigroup and cyclic ternary Γ-semigroup are introduced and characterized them In section 3, we discussed some special elements of a ternary Γ-semigroups and characterized them.

Relationship Between High School Math Course Selection And Retention Rates At Otterbein University, 2015 Otterbein University

#### Relationship Between High School Math Course Selection And Retention Rates At Otterbein University, Lauren A. Fisher

*Honor's Papers*

Binary logistic regression was used to study the relationship between high school math course selection and retention rates at Otterbein University. Graduation rates from postsecondary institutions are low in the United States and, more specifically, at Otterbein. This study is important in helping to determine what can raise retention rates, and ultimately, graduation rates. It directs focus toward high school math course selection and what should be changed before entering a post-secondary institution. Otterbein will have a better idea of what type of students to recruit and which students may be good candidates with some extra help. Recruiting is expensive ...

An Individual-Based Model Of Chaparral Vegetation Response To Frequent Wildfire, 2015 Pepperdine University

#### An Individual-Based Model Of Chaparral Vegetation Response To Frequent Wildfire, Timothy Lucas, Dayna Mann, Reanna Dona

*Undergraduate Research And Scholarly Achievement Symposium*

In recent years, the Santa Monica Mountains (SMM) have been plagued by frequent wildfires which threaten the native chaparral species. Nonsprouting chaparral species are completely killed by a fire, but their seeds germinate in response to fire cues. Facultative sprouters both resprout after a wildfire and release seeds that germinate post-fire. This project is based on data collected since 1986 at a biological preserve adjacent to the Malibu campus of Pepperdine University with an average fire return interval of 7.5 years. We present a spatial model that simulates the growth, seed dispersal and resprouting behavior of individual shrubs that ...

Mathematical Analysis Of Great Rhombicuboctahedron (An Archimedean Solid) By H.C. Rajpoot, 2015 M.M.M. University of Technology, Gorakhpur-273010 (UP) India

#### Mathematical Analysis Of Great Rhombicuboctahedron (An Archimedean Solid) By H.C. Rajpoot, Harish Chandra Rajpoot Rajpoot Hcr

*Harish Chandra Rajpoot H.C. Rajpoot*

All the important parameters of a great rhombicuboctahedron (an Archimedean solid), having 12 congruent square faces, 8 regular hexagonal faces, 6 congruent regular octagonal faces each of equal edge length, 72 edges & 48 vertices lying on a spherical surface with certain radius, have been derived by the author H.C. Rajpoot by applying "HCR's Theory of Polygon" to calculate the solid angle subtended by each square face, regular hexagonal face & regular octagonal face & their normal distances from the center of great rhombicuboctahedron, dihedral angles between the adjacent faces, inscribed radius, circumscribed radius, mean radius, surface area & volume. These formula ...

The Riemann Curvature Tensor, Its Invariants, And Their Use In The Classification Of Spacetimes, 2015 Utah State University

#### The Riemann Curvature Tensor, Its Invariants, And Their Use In The Classification Of Spacetimes, Jesse Hicks

*Presentations and Publications*

The equivalence problem in general relativity is to determine whether two solutions of the Einstein field equations are isometric. Petrov has given a classification of metrics according to their isometry algebras. This talk discusses the use of the Petrov classification scheme, together with the use of scalar curvature invariants, to address the equivalence problem. These are the slides for a presentation at the Mathematics Association of America Spring 2015 conference at Brigham Young University.

Mathematical Analysis Of Uniform Polyhedra Having 2 Congruent Regular N-Gonal Faces, 2n Congruent Trapezoidal Faces, 5n Edges & 3n Vertices Lying On A Spherical Surface (Generalized Formula By H.C. Rajpoot), 2015 M.M.M. University of Technology, Gorakhpur-273010 (UP) India

#### Mathematical Analysis Of Uniform Polyhedra Having 2 Congruent Regular N-Gonal Faces, 2n Congruent Trapezoidal Faces, 5n Edges & 3n Vertices Lying On A Spherical Surface (Generalized Formula By H.C. Rajpoot), Harish Chandra Rajpoot Rajpoot Hcr

*Harish Chandra Rajpoot H.C. Rajpoot*

All the formula have been generalized by the author which are applicable to calculate the important parameters, of any uniform polyhedron having 2 congruent regular n-gonal faces, 2n congruent trapezoidal faces each with three equal sides, 5n edges & 3n vertices lying on a spherical surface, such as solid angle subtended by each face at the centre, normal distance of each face from the centre, inner radius, outer radius, mean radius, surface area & volume. These are useful for analysis, designing & modeling of different uniform polyhedra.

Efficient General Computational Method For Estimation Of Standard Atmosphere Parameters, 2015 AAR Aerospace Consulting, LLC

#### Efficient General Computational Method For Estimation Of Standard Atmosphere Parameters, Nihad E. Daidzic Ph.D., Sc.D.

*International Journal of Aviation, Aeronautics, and Aerospace*

Knowledge of standard air temperature, pressure, density, speed of sound, and viscosity as a function of altitude is essential information in aircraft design, performance testing, pressure altimeter calibration, and several other aeronautical engineering and aviation science applications. A new efficient computational method for rapid calculations of standard atmospheric parameters up to 86 orthometric km is presented. Additionally, mass and weight of each standard atmospheric layer were calculated using a numerical integration method. The sum of all fractional masses and weights represents the total mass and weight of Earth’s atmosphere. The results obtained here agree well with measurements and models ...

3-Equitable Prime Cordial Labeling Of Some Graphs, 2015 Innovative Research Publications

#### 3-Equitable Prime Cordial Labeling Of Some Graphs, Innovative Research Publications Irp India, Sweta Srivastav, Sangeeta Gupta

*Innovative Research Publications IRP India*

In this paper we have investigated the 3-equitable prime cordial labeling behavior of cycle with one chord, Twin chord, and split graph G

Mathematical Analysis Of Uniform Decahedron Having 10 Congruent Faces Each As A Right Kite By H.C. Rajpoot, 2015 M.M.M. University of Technology, Gorakhpur-273010 (UP) India

#### Mathematical Analysis Of Uniform Decahedron Having 10 Congruent Faces Each As A Right Kite By H.C. Rajpoot, Harish Chandra Rajpoot Rajpoot Hcr

*Harish Chandra Rajpoot H.C. Rajpoot*

All the important parameters of a decahedron having 10 congruent faces each as a right kite have been derived by the author by applying HCR's Theory of Polygon to calculate normal distance of each face from the center, inscribed radius, circumscribed radius, mean radius, surface area & volume. The formula are very useful in analysis, designing & modeling of polyhedrons.

A Contribution Toward Better Understanding Of Overbanking Tendency In Fixed-Wing Aircraft, 2015 AAR Aerospace Consulting, LLC

#### A Contribution Toward Better Understanding Of Overbanking Tendency In Fixed-Wing Aircraft, Nihad E. Daidzic

*Journal of Aviation Technology and Engineering*

The phenomenon of overbanking tendency for a rigid-body, fixed-wing aircraft is investigated. Overbanking tendency is defined as a spontaneous, unbalanced rolling moment that keeps increasing an airplane’s bank angle in steep turns and must be arrested by opposite aileron action. As stated by the Federal Aviation Administration, the overbanking tendency may lead to a loss of control, especially in instrument meteorological conditions. It was found in this study that the speed differential over wing halves in horizontal turns indeed creates a rolling moment that achieves maximum values for bank angles between 45 and 55 degrees. However, this induced rolling ...

Spontaneous Dimension Reduction And The Existence Of A Local Lagrange-Hamilton Formalism For Given N-Dimensional Newtonian Equations Of Motion, 2015 University of North Georgia

#### Spontaneous Dimension Reduction And The Existence Of A Local Lagrange-Hamilton Formalism For Given N-Dimensional Newtonian Equations Of Motion, Piotr W. Hebda, Beata A. Hebda

*Faculty Publications*

A partially explicit construction of a Lagrange-Hamiltonian formalism for an arbitrary n -dimensional Newtonian system of equations of motion is given. Additional variables used in the construction are spontaneously reduced by the Dirac’s constraints resulting from degeneracy of the proposed Lagrangian, so that only the variables that appear in the original system of equations remain. A Hamiltonian and dynamical Dirac’s brackets are calculated.

Spontaneous Dimension Reduction And The Existence Of A Local Lagrangian For Given N-Dimensional Newtonian Equations Of Motion, 2015 University of North Georgia

#### Spontaneous Dimension Reduction And The Existence Of A Local Lagrangian For Given N-Dimensional Newtonian Equations Of Motion, Piotr W. Hebda, Beata A. Hebda

*Faculty Publications*

A partially explicit construction of a Lagrangian for an n -dimensional Newtonian system of equations of motion is given. Extra variables used in the construction are spontaneously reduced by the constraints resulting from degeneracy of the proposed Lagrangian, so that only the variables that appear in the original system of equations remain. An explicit example of a Lagrangian for a system not satisfying Helmholtz conditions is given.