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.

Mathematical Analysis Of 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 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.

Belpatra (Aegel Marmelos) Bark Powder As An Adsorbent For The Color Removal Of Textile Dye “Torque Blue”, 2015 Innovative Research Publications

#### Belpatra (Aegel Marmelos) Bark Powder As An Adsorbent For The Color Removal Of Textile Dye “Torque Blue”, Innovative Research Publications Irp India, Vandana Gupta, Anupam Agarwal, M. K. Singh

*Innovative Research Publications IRP India*

Adsorption is used as a potential method for the removal of color (dye) from industrial waste water. In this paper an easily available low cost Belpatra (Aegel marmelos) bark powder was used as an adsorbent for the removal of textile dye Torque Blue. For the present work several experiments were conducted at different adsorbent dosage, pH, temperature, dye concentration, particle size, and contact time in a batch adsorption mode. The experimental results revealed that maximum adsorption capacity of Belpatra bark powder on Torque blue dye was found to be 98% at an adsorbent dosage of 0.7gm in 100 ml ...

Sufficient Condition For Complete Graphs And Hamiltonian Graphs, 2015 Innovative Research Publications

#### Sufficient Condition For Complete Graphs And Hamiltonian Graphs, Innovative Research Publications Irp India, S.Venu Madava Sarma, T.V. Pradeep Kumar

*Innovative Research Publications IRP India*

In 1856, Hamiltonian introduced the Hamiltonian Graph where a Graph which is covered all the vertices without repetition and end with starting vertex. In this paper I would like to prove that every Complete Graph ‘G’ having n ≥ 5 vertices, such that n is odd. If for all pairs of nonadjacent vertices u, v one has du + dv ≥ n − 2, then G has a Hamiltonian path.

Some Covariance Inequalities For Non-Monotonic Functions With Applications To Mean-Variance Indiference Curves And Bank Hedging, 2015 Universidad de la Republica Oriental del Uruguay

#### Some Covariance Inequalities For Non-Monotonic Functions With Applications To Mean-Variance Indiference Curves And Bank Hedging, Martin Egozcue

*Martin Egozcue*

No abstract provided.

A Rank 7 Pfaffian System On A 15-Dimensional Manifold With F4 Symmetry Algebra, 2015 Utah State University

#### A Rank 7 Pfaffian System On A 15-Dimensional Manifold With F4 Symmetry Algebra, Ian M. Anderson

*Tutorials on... in 1 hour or less*

Let I be a differential system on a manifold M. The infinitesimal symmetry algebra of I is the set of all vectors fields X on M such that preserve I. In this worksheet we present an example, due to E. Cartan of a rank 7 Pfaffian system on a 15-dimensional manifold whose infinitesimal symmetry algebra is the split real form of the exceptional Lie algebra f4 .

Fractional, 2015 University of Mazandaran, Babolsar, Iran

Numerical Decoding, Johnson-Lindenstrauss Transforms, And Linear Codes, 2015 Clemson University

#### Numerical Decoding, Johnson-Lindenstrauss Transforms, And Linear Codes, Yue Mao

*All Dissertations*

Many computational problems are related to the model y = Ax + e, including compressive sensing, coding theory, dimensionality reduction, etc. The related algorithms are extremely useful in practical applications for high performance computing, for example, digital communications, biological imaging and data streaming, etc. This thesis studies two important problems. One problem is related to efficient decoding for Reed-Solomon codes over complex numbers. In this case, A and y are given, and the goal is to find an efficient stable algorithm to compute x. This is related to magnetic resonance imaging (MRI). The other problem is related to fast algorithms for projecting ...

Topological Data Analysis Of Biological Aggregation Models, 2015 Macalester College

#### Topological Data Analysis Of Biological Aggregation Models, Chad M. Topaz, Lori Ziegelmeier, Tom Halverson

*Chad M. Topaz*

We apply tools from topological data analysis to two mathematical models inspired by biological aggregations such as bird flocks, fish schools, and insect swarms. Our data consists of numerical simulation output from the models of Vicsek and D'Orsogna. These models are dynamical systems describing the movement of agents who interact via alignment, attraction, and/or repulsion. Each simulation time frame is a point cloud in position-velocity space. We analyze the topological structure of these point clouds, interpreting the persistent homology by calculating the first few Betti numbers. These Betti numbers count connected components, topological circles, and trapped volumes present ...

Minimax Portfolio Optimization Under Interval Uncertainty, 2015 Waseda University

#### Minimax Portfolio Optimization Under Interval Uncertainty, Meng Yuan, Xu Lin, Junzo Watada, Vladik Kreinovich

*Departmental Technical Reports (CS)*

In the 1950s, Markowitz proposed to combine different investment instruments to design a portfolio that either maximizes the expected return under constraints on volatility (risk) or minimizes the risk under given expected return. Markowitz's formulas are still widely used in financial practice. However, these formulas assume that we know the exact values of expected return and variance for each instrument, and that we know the exact covariance of every two instruments. In practice, we only know these values with some uncertainty. Often, we only know the bounds of these values -- i.e., in other words, we only know the ...

Why Lattice-Valued Fuzzy Values? A Mathematical Justification, 2015 Chiang Mai University

#### Why Lattice-Valued Fuzzy Values? A Mathematical Justification, Rujira Ouncharoen, Vladik Kreinovich, Hung T. Nguyen

*Departmental Technical Reports (CS)*

To take into account that expert's degrees of certainty are not always comparable, researchers have used partially ordered set of degrees instead of the more traditional linearly (totally) ordered interval [0,1]. In most cases, it is assumed that this partially ordered set is a lattice, i.e., every two elements have the greatest lower bound and the least upper bound. In this paper, we prove a theorem explaining why it is reasonable to require that the set of degrees is a lattice.

Inżynieria Chemiczna Lab., 2015 Wroclaw University of Technology

#### Inżynieria Chemiczna Lab., Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Rainich-Type Conditions For Perfect Fluid Spacetimes, 2014 Utah State University

#### Rainich-Type Conditions For Perfect Fluid Spacetimes, Dionisios Krongos, Charles G. Torre

*Research Vignettes*

In this worksheet we describe and illustrate a relatively simple set of new Rainich-type conditions on an n-dimensional spacetime which are necessary and sufficient for it to define a perfect fluid solution of the Einstein field equations. Procedures are provided which implement these Rainich-type conditions and which reconstruct the perfect fluid from the metric. These results provide an example of the idea of geometrization of matter fields in general relativity, which is a purely geometrical characterization of matter fields via the Einstein field equations.

Applications Of Stochastic Control In Energy Real Options And Market Illiquidity, 2014 The University of Western Ontario

#### Applications Of Stochastic Control In Energy Real Options And Market Illiquidity, Christian Maxwell

*University of Western Ontario - Electronic Thesis and Dissertation Repository*

We present three interesting applications of stochastic control in finance. The first is a real option model that considers the optimal entry into and subsequent operation of a biofuel production facility. We derive the associated Hamilton Jacobi Bellman (HJB) equation for the entry and operating decisions along with the econometric analysis of the stochastic price inputs. We follow with a Monte Carlo analysis of the risk profile for the facility. The second application expands on the analysis of the biofuel facility to account for the associated regulatory and taxation uncertainty experienced by players in the renewables and energy industries. A ...

Approximation Of The Scattering Amplitude Using Nonsymmetric Saddle Point Matrices, 2014 University of Southern Mississippi

#### Approximation Of The Scattering Amplitude Using Nonsymmetric Saddle Point Matrices, Amber Sumner Robertson

*Master's Theses*

In this thesis we look at iterative methods for solving the primal (**A**x = b) and dual (**A*** ^{T }*y = g) systems of linear equations to approximate the scattering amplitude defined by g

*x =y*

^{T}*b. We use a conjugate gradient-like iteration for a unsymmetric saddle point matrix that is contructed so as to have a real positive spectrum. We find that this method is more consistent than known methods for computing the scattering amplitude such as GLSQR or QMR. Then, we use techniques from "matrices, moments, and quadrature" to compute the scattering amplitude without solving the system ...*

^{T}Among Several Successful Algorithms, Simpler Ones Usually Work Better: A Possible Explanation Of An Empirical Observation, 2014 University of Texas at El Paso

#### Among Several Successful Algorithms, Simpler Ones Usually Work Better: A Possible Explanation Of An Empirical Observation, Vladik Kreinovich, Olga Kosheleva

*Departmental Technical Reports (CS)*

Often, several different algorithms can solve a certain practical problem. Sometimes, algorithms which are successful in solving one problem can solve other problems as well. How can we decide which of the original algorithms is the most promising -- i.e., which is more probable to be able to solve other problem? In many cases, the simplest algorithms turns out to be the most successful. In this paper, we provide a possible explanation for this empirical observation.

Visualizing Probabilistic Proof, 2014 University of Central Florida Dixon School of Accounting & College of Business Administration

#### Visualizing Probabilistic Proof, Enrique Guerra-Pujol

*Washington University Jurisprudence Review*

The author revisits the Blue Bus Problem, a famous thought-experiment in law involving probabilistic proof, and presents Bayesian solutions to different versions of the blue bus hypothetical. In addition, the author expresses his solutions in standard and visual formats, that is, in terms of probabilities and natural frequencies.