From Monge-Ampere-Boltzman to Euler Equations

In Hsiao study the convergence of the VPB system to the Incompressible Euler Equations. Bernier and Grégoire show that weak solution of Vlasov-Monge-Ampère converge to a solution of the incompressible Euler equations when the parameter goes to 0, Brenier and Loeper for details. So, is a ligitim question to look for the convergence of a weak solution of BMA (of course if such solution exists) to a solution of the incompressible Euler equations when the parameter goes to 0.
The study of the existence and uniqueness of solution to the BMA system seems a difficult matter. Here we assume the existence and uniqueness of smooth solution to the BMA and we just look to the asymptotic analysis of this system.

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On Finding the Upper Confidence Limit for a Binomial Proportion when Zero Successes are Observed

We consider confidence interval estimation for a binomial proportion when the data have already been observed and x, the observed number of successes in a sample of size n, is zero. In this case, the main objective of the investigator is usually to obtain a reasonable upper bound for the true probability of success, i.e., the upper limit of a one-sided confidence interval. In this article, we use observed interval length and p-confidence to evaluate eight methods for finding the upper limit of a confidence interval for a binomial proportion when x is known to be zero. Long-run properties such as expected interval length and coverage probability are not applicable because the sample data have already been observed. We show that many popular approximate methods that are known to have good long-run properties in the general setting perform poorly when x=0 and recommend that the Clopper-Pearson exact method be used instead.

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Important Discovery of Preferred Velocity of 30000 ∓ 425 M/S of the Solar Motion of the Earth

With the recent relative advancement of Technology, particularly with the digital storage oscilloscopes, we analyze precursor signals. They became known in the literature, precursor signals. However they are usually attributed to a symmetrical Fourier analysis of square pulses with dual time components, one unnatural time prior the pulse event and second a natural time after the pulse event.

However, every arbitrary mathematical analysis may not be suitable for a particular physical case, as the complex solutions of an equation of a physical problem are usually rejected, as complex numbers solutions. Also, a particular mathematical number may be analyzed as the limit of an infinite number of numerical sequences. This does not mean that every term of each such sequence, plays a real role in a physical situation.

Studies of the Regular and Irregular Iso representations of the Lie-Santilli Isotheory

As it is well known, the Lie theory is solely applicable to dynamical systems consisting of point-like particles moving in vacuum under linear and Hamiltonian interactions (systems known as exterior dynamical systems). One of the authors (R.M. Santilli) has proposed an axiom-preserving broadening of the Lie theory, known as the Lie-Santilli iso theory, that is applicable to dynamical; systems of extended, nonspherical and deformable particles moving within a physical medium under Hamiltonian as well as non-linear and non-Hamiltonian interactions (broader systems known as interior dynamical systems).

In this paper, we study apparently for the first time regular and irregular iso representations of Lie-Santilli iso algebras occurring when the structure quantities are constants or functions, respectively. A number of applications to particle and nuclear physics are indicated. It should be indicated that this paper is specifically devoted to the study of iso representations under the assumption of a knowledge of the Lie-Santilli iso theory, as well as of the isotopies of the various branches of 20th century applied mathematics, collectively known as iso mathematics, which is crucial for the consistent formulation and elaboration of iso theories.

Statistical Process Capability Design to Improve Process Stability of a Molding Machine

Justification of production and manufacturing processes overtime, process capability in the concept of statistical control has been of great importance because it has promoted the production of products that satisfy the expectation of consumers. This paper aimed at promoting the adoption of quality process capability design in a bid to improve the process stability of a process and improve the process performance in the long run of production.

In ensuring this, the technique of design of experiment is adopted using factorial design after which the capability analysis was carried out on the data on plastic containers produced by molding machines as deduced from the control Xbar and Range charts, it was established that the process was observed to be stable and in a state of statistical quality control and the plastic containers produced were observed to differ from one another as a result of variation on the part of the operators of the molding machines.

Comparison of the Hemoglobin Amount between Old and Young Persons in Bosnia and Herzegovina

Hemoglobin is a unique protein, which is responsible for oxygen and carbon dioxide transportation all the body. The protein location is inside the erythrocytes and the special oval shape makes it easily pass through blood walls to supply oxygen to the tissues and organs. It is supposed that the hemoglobin amount could change depending on the person's age, gender or nationality. We designed a research to see the molecular differences among Bosnian and Turkish young person`s whose age interval is 18-23 and old person`s age interval is 43-65.

Totally 300 person`s, 50 from each Bosnian/ Turkish Female/Male and 50 old male and 50 old female were selected for the research. The students` the hemoglobin amount has been recorded individually and presented in a table. As a result of the measurement, The Turkish females average has the lowest hemoglobin Turkish males average shows the maximum amount of hemoglobin, 12.01 g/dl and 14.65 g/dl respectively. When the female gets older their the hemoglobin amount increase in their blood, 7.3% in Bosnian and 12.2% in Turkish. On the other side, the male blood the hemoglobin amount is almost similar by aging, Bosnian male hemoglobin just increase 0.74%, but in Turkish male 1.3% decrease. The result shows that female the hemoglobin amount is affected by age more than male.

Convergence and the Grand Unified Theory

This paper examines the relationship between the four fundamentals forces and shows how, using fluid mechanics, electromagnetism, quantum mechanics and gravity, these forces converge on one solution just as Mathematics does. An equation for the universal processes is provided.

This paper shows how as Mathematics, namely Algebra, Linear Algebra, Geometry and Calculus, converge to one solution, so too does Fluid Mechanics, Quantum Mechanics, Electromagnetism, and Gravity converge to one solution, namely the Super force. We begin with mathematics convergence and end with Cusack’s Universal Equation. Cosmology and Quantum Mechanics are united.

Non-associative slave-boson decomposition

Everybody knows that the algebra of non-perturbative operators in quantum theory exists but nobody knows its exact form. In this paper the idea is discussed that the constraint (2.2) in t-J model of high-temperature superconductivity is a new generating relation for an algebra of operators the product of which gives us the electron operator. On the perturbative level the algebra of quantum fields is defined by canonical (anti) commutative relations. The algebra of non-perturbative operators should be more complicated and should be generated not only by canonical (anti) commutative relations but should exist other generating relations as well. In this paper we discuss the idea that the constraint (2.2) is an anti associator in a non-associative algebra of quantum non-perturbative operators.

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An Application of SLA in Small Business Sectors with Multi Item Inventory Management

All type of retailers face an uncertainty of consumer demands. The retailer who having long replenishment lead time from the original supplier and located close to each other are coordinated to prevent stock out and increase service level of their customer. This coordination is simply called lateral transshipment which defines the redistribution of stock from retailer with stock on hand to the retailer who is expecting significant loss due to high risk.

If transportation cost is increased, lateral transshipment is known as a better approach than a policy of no transshipment. The execution of lateral transshipment was done by Young Hae Lee at airport to inspect the airplane. However this is difficult in the companies or in department due to the information extinction and insufficient understanding between companies.

Identifying DNA Methylation Variation Patterns to Obtain Potential Breast Cancer Biomarker Genes

Patterns of DNA methylation in human cells are crucial in regulating tumor growth and can be indicative of breast cancer susceptibility. In our research, we have pinpointed genes with significant methylation variation in the breast cancer epigenome to be used as potential novel biomarkers for breast cancer susceptibility.

Using the statistical software package R, we compare DNA methylation sequencing data from seven normal individuals with eight breast cancer cell lines. This is done by selecting CG sites, or cytosine-guanine pairings, at which normal cell and cancer cell variation patterns fall in different ranges, and by performing upper one-tailed chi-square tests. These selected CG sites are mapped to their corresponding genes. Using the Consensus Path Database software, we generate genetic pathways with our data to study biological relations between our selected genes and tumorigenic cellular mechanisms.

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Contrast Variable Potentially Providing a Consistent Interpretation to Effect Sizes

Various effect sizes have been proposed. However, different effect size measures are suitable for different types of data, and the interpretations of effect sizes are generally arbitrary and remain problematic.

In this article, the concepts of contrast variable, its standardized mean (SMCV) and c + -probability are explored to link together the commonly used effect sizes including the probabilistic index and ratios of mean difference to variability. A contrast variable can provide both a probabilistic meaning and an index of signal-to-noise ratio to interpret the strength of a comparison, which offers us a strong base to classify the strength of a comparison. Contrast variable, SMCV and c + -probability not only give interpretations to both Cohen’s and McLean’s criteria but also work effectively and consistently for either relationship or group comparison in either independent or correlated situations and in either two or more than 2 groups.

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Mathematical Theory of Space-Time

We hypothesize that the Universe contains observable subluminal matter (tardyons and locality) and unobservable superluminal matter (tachyons and nonlocality). By using space-time ring we establish mathematical theory of space-time with subluminal and superluminal coexistence.

The rotating motions of tardyons and tachyons produce centrifugal and centripetal (gravity) forces, respectively. This paper deduces a new gravitational formula and Newtonian gravitational formula from the tardyonic and tachyonic coexistence principle. Through the morphism we first show that tardyons and tachyons are interchangeable, but that tachyons are unobservable . We then convert the tachyonic mass into tardyonic mass We obtain gravitational coefficient η = 6.9 ×10-10.Using it we establish the expansion theory of the universe and suggest the new universe model.

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A canonical semi-classical star product

We study the Maurer-Cartan equation of the pre-Lie algebra of graphs controlling the deformation theory of associative algebras. We prove that there is a canonical solution (choice independent) within the class of graphs without circuits, i.e. at the level of the free operad, without imposing the Jacobi identity.

The proof is a consequence of the unique factorization property of the pre-Lie algebra of graphs (tree operad), where composition is the insertion of graphs. The restriction to graphs without circuits, i.e. at “tree level”, accounts for the interpretation as a semi-classical solution. The fact that this solution is canonical should not be surprising, in view of the Hausdorff series, which lies at the core of almost all quantization prescriptions.

Fixed Point Theory for Three φ–Weak Contraction Functions

Alber and Guerre-Delabriere demonstrated the “concept of weak contraction” in 1997. Actually in concept of weak contraction, the authors defined such mappings for single-valued maps on Hilbert spaces and proved the existence of fixed points. Rhoades showed that most results of concept of weak contraction are still true for any Banach space along with that he has proved the following very interesting fixed point theorem which is one of generalizations of the Banach contraction principle because it contains contractions as special cases (ϕ(t)=(1–k)t).

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A Likelihood Ratio Test for Homogeneity in Circular Data

Testing for the homogeneity of density functions of circular random variables is useful in many settings including the study of wind patterns, paleocurrents trends, the seasonality in human-related events such as homicides and suicides and the seasonality in the appearance of diseases. In this paper, we considered that the density functions are members of the flexible family of circular distributions based on non negative trigonometric (Fourier) sums (series) developed by Fernandez-Duran. We constructed a test based on the likelihood ratio and we applied the proposed test to simulated and real data sets.

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Optical Fizeau Experiment with Moving Water is Explained without Fresnel's Hypothesis and Contradicts Special Relativity

Fizeau experiment actually proves not partial, as the special relativity asserts, but complete dragging of the light by moving medium. The decrease of the fringe shift in the Fizeau's two-beam interfero meter is explained not with wrong Fresnel aether drag hypothesis but with the phase deviations arising in the interfering beams because of Doppler shift of the frequencies. Fizeau experiment does not prove but, on the contrary, refutes Einstein's theory of relativity.

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An operadic approach to deformation quantization of compatible Poisson brackets, I

An analogue of the Livernet–Loday operad for two compatible brackets, which is a flat deformation of the bi-Hamiltonian operad is constructed. The Liver net–Lo day operad can be used to define ?-products and deformation quantization for Poisson structures. The constructed operad is used in the same way, introducing a definition of operadic deformation quantization of compatible Poisson structures.

Some constructions of deformation quantization are known now for the case which was the most important for, namely the algebra of functions on a smooth Poisson manifold; see, for example, the work of Kontsevich. It seems to be much more difficult to deal with deformation quantization of two compatible Poisson brackets – even on the level of introducing the problem and giving the necessary definitions.