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Metallic Ratios and Pascal’s Triangle : Triads of Metallic Means in the Pascal’s Triangle
Full text linkThis paper introduces the close correspondence between Pascal’s Triangle and the recently published mathematical formulae those provide the precise relations between different Metallic Ratios. The precise correlations between various Metallic Means can be substantiated with Pascal’s Triangle, as described herein
A survey of topics related to Functional Analysis and Applied Sciences
Full text linkThis survey is the result of investigations suggested by recent publications on functional analysis and applied sciences. It contains short accounts of the above theories not usually combined in a single document and completes the work of D. Huet 2017. The main topics which are dealt with involve spectrum and pseudospectra of partial differential equations, Steklov eigenproblems, harmonic Bergman spaces, rotation number and homeomorphisms of the circle, spectral flow, homogenization. Applications to different types of natural sciences such as echosystems, biology, elasticity, electromagnetisme, quantum mechanics, are also presented. It aims to be a useful tool for advanced students in mathematics and applied sciences
Comparison among Some Methods for Estimating the Parameters of Truncated Normal Distribution
Full text linkThe aim of this study is to investigate the effect of different truncation combinations on the estimation of the normal distribution parameters. In addition, is to study methods used to estimate these parameters, including MLE, moments, and L-moment methods. On the other hand, the study discusses methods to estimate the mean and variance of the truncated normal distribution, which includes sampling from normal distribution, sampling from truncated normal distribution and censored sampling from normal distribution. We compare these methods based on the mean square errors, and the amount of bias. It turns out that the MLE method is the best method to estimate the mean and variance in most cases and the L-moment method has a performance in some cases
On Regional Boundary Gradient Strategic Sensors In Diffusion Systems
Full text linkThis paper is aimed at investigating and introducing the main results regarding the concept of Regional Boundary Gradient Strategic Sensors (RBGS-sensors the in Diffusion Distributed Parameter Systems (DDP-Systems . Hence, such a method is characterized by Parabolic Differential Equations (PDEs in which the behavior of the dynamic is created by a Semigroup ( of Strongly Continuous type (SCSG in a Hilbert Space (HS) . Additionally , the grantee conditions which ensure the description for such sensors are given respectively to together with the Regional Boundary Gradient Observability (RBG-Observability can be studied and achieved . Finally , the results gotten are applied to different situations with altered sensors positions are undertaken and examined
Coincidence points in θ - metric spaceS
Full text linkIn this paper, inspired by the concept of metric space, two fixed point theorems for α−set-valued mapping T:₳ → CB(₳), h θ (Tp,Tq) ≤ α(dθ(p,q)) dθ(p,q), where α: (0,∞) → (0, 1] such that α(r) < 1, ∀ t ∈ [0,∞) ) are given in complete θ −metric and then extended for two mappings with R-weakly commuting property to obtain a common coincidence point
Determination of Glibenclamide By Analytical Spectrophotometry
Full text linkSimple and rapid spectrophotometric method was developed and applied to determine Glibenclamide (GB) by zero spectrophotometric method and first derivative spectrophotometric method for determining of (GB) in the presence of Metformin hydrochloride (MET). Zero spectrophotometric (ZS) method was applied for the determination of (GB) at λmax = 300 nm. Linearity range was (4 – 360) μg/mL. Regression analysis showed a good correlation coefficients R2 = 0.99993. The limit of detection (LOD) and limit of quantification (LOQ) were to be 0.65 μg/mL and 2.31 μg/mL, respectively. First derivative spectrophotometric (1DS) method was applied for the determination of (GB) in the presence (MET). (GB) was determined at 317 nm (1D317). Linearity ranges were (4 – 240) μg/mL for (GB). Regression analysis showed a good correlation coefficients R2 = 0.999914. The limit of detection (LOD) and limit of quantification (LOQ) were to be 0.60 μg/mL and 1.83 μg/mL for (GB).
The proposed zero spectrophotometry method was applied to analysis individual (GB), and the derivative (1D317) method was applied to analysis (GB) individually or combined with (MET) in Syrian trademark drugs.
The proposed method is simple, direct, sensitive and do not require any extraction process. Thus, this method could be readily applicable for the quality control and routine analysis
Metallic Means; The Geometric Substantiation of all Metallic Ratios
Full text linkThis paper introduces certain new geometric aspects of the Metallic Ratios. Each Metallic Ratio is observed to be closely associated with a special right triangle, which provides the precise fractional expression of that Ratio. This work explicates the geometric substantiation of Metallic Ratio, on basis of the right angled triangle which is the quintessential form of that particular ratio
New types of almost contact metric submersions
Full text linkWe introduce the concept of conjugaison in contact geometry. This concept allows to define new structures which are used as base space of a Riemannian submersion. With these new structures, we study new three types of almost contact metric submersions
Metallic Ratio Triads, The Mathematical Relations between different Metallic Means, And Geometric Substantiation of Metallic Numbers with the Right Angled Triangles
Full text linkThis paper synergize the newly discovered generalised geometry of all Metallic Means and the recently published mathematical formulae those provide the precise correlations between different Metallic Ratios. The paper also illustrates the concept of the “TRIADS of Metallic Means”. The Metallic Means and their TRIADS can be geometrically substantiated, in an intriguing manner, as described in this paper
On Pointwise Product Vector Measure Duality
Full text linkThis article is devoted to the study of pointwise product vector measure duality. The properties of Hilbert function space of integrable functions and pointwise sections of measurable sets are considered through the application of integral representation of product vector measures, inner product functions and products of measurable sets