special function
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Author(s):  
Jegyung Son

Aircraft radar has special function which is ranging from aircraft to ground of antenna boresight. Because ranging information is used to calibrate altitude of aircraft or to drop a conventional bomb, the measuring have to be precise and robust. Therefore, we propose a simple and efficient method using monopulse radar for ground ranging. Proposed method calculates balancing weight according to linearity of monopulse ratio and mixes two ranging measurements in proportional to the weight. By exploiting balancing weight, radar is able to react to various environment as monopulse ratio contains characteristics of clutter environment. As a result, robust ranging information can be achieved. We use DEM(Digital Elevation Model) in order to simulate heterogeneous environment. In experimental result, it is shown that proposed method shows better accuracy and precision in any environment.


2021 ◽  
Vol 53 (11) ◽  
Author(s):  
Grant N. Remmen

AbstractWe investigate the properties of a special class of singular solutions for a self-gravitating perfect fluid in general relativity: the singular isothermal sphere. For arbitrary constant equation-of-state parameter $$w=p/\rho $$ w = p / ρ , there exist static, spherically-symmetric solutions with density profile $$\propto 1/r^2$$ ∝ 1 / r 2 , with the constant of proportionality fixed to be a special function of w. Like black holes, singular isothermal spheres possess a fixed mass-to-radius ratio independent of size, but no horizon cloaking the curvature singularity at $$r=0$$ r = 0 . For $$w=1$$ w = 1 , these solutions can be constructed from a homogeneous dilaton background, where the metric spontaneously breaks spatial homogeneity. We study the perturbative structure of these solutions, finding the radial modes and tidal Love numbers, and also find interesting properties in the geodesic structure of this geometry. Finally, connections are discussed between these geometries and dark matter profiles, the double copy, and holographic entropy, as well as how the swampland distance conjecture can obscure the naked singularity.


2021 ◽  
pp. 17-60
Author(s):  
Seana Valentine Shiffrin

This chapter argues for a communicative conception of democracy and democratic law by appealing to a duty of respect that we owe to our fellow citizens. To nurture and sustain the social bases of self-respect, citizens must convey to each other their convictions of mutual equality, their commitments to respect essential human needs and moral rights, and their mutual commitment to cooperate and provide every member with a stable place of belonging. Fulfilling these duties of communication requires a public commitment authored by all of us, undertaken through articulate action. Law has qualities of substantive expression that mere discursive messages lack. Law is public and takes the form of an ongoing, articulate commitment. But for law to convey the message that citizens must convey, each of us must be able to contribute to its formation. Hence, for law to play this special function, it must be democratically forged and sustained.


2021 ◽  
Author(s):  
Sergio Venturini

The purpose of this paper is to show that the natural setting for various Abel and Euler-Maclaurin summation formulas is the class of special function of bounded variation. A function of one real variable is of bounded variation if its distributional derivative is a Radom measure. Such a function decomposes uniquely as sum of three components: the first one is a convergent series of piece-wise constant function, the second one is an absolutely continuous function and the last one is the so-called singular part, that is a continuous function whose derivative vanishes almost everywhere. A function of bounded variation is special if its singular part vanishes identically. We generalize such space of special function of bounded variation to include higher order derivatives and prove that the functions of such spaces admit a Euler-Maclaurin summation formula. Such a result is obtained by deriving in this setting various integration by part formulas which generalizes various classical Abel summation formulas.


2021 ◽  
Vol 24 (5) ◽  
pp. 1559-1570
Author(s):  
Riccardo Droghei

Abstract In this paper we introduce a new multiple-parameters (multi-index) extension of the Wright function that arises from an eigenvalue problem for a case of hyper-Bessel operator involving Caputo fractional derivatives. We show that by giving particular values to the parameters involved in this special function, this leads to some known special functions (as the classical Wright function, the α-Mittag-Leffler function, the Tricomi function, etc.) that on their turn appear as cases of the so-called multi-index Mittag-Leffler functions. As an application, we mention that this new generalization Wright function nis an isochronous solution of a nonlinear fractional partial differential equation.


2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Jawad Ahmad ◽  
Farhad Ali ◽  
Saqib Murtaza ◽  
Ilyas Khan

This article aims to examine Jeffery nanofluid with joint effects of mass and heat transfer in a horizontal channel. The classical model is transferred to the Caputo fractional model by using the generalized Fourier’s and Fick’s laws. The nanofluids are formed by dispersing two different nanoparticles, silver and copper, into a based fluid. A novel transformation has been applied to the mass and energy equation and then solved by using the sine Fourier and the Laplace transformation jointly. The exact solution is given in terms of a special function, that is, the Mittag-Leffler function. The Sherwood number and Nusselt number are calculated and displayed in the tabular form. The effect of embedded parameters on the velocity, concentration, and temperature profile is discussed graphically. It is noted that the heat transfer rate of EO is improved by 28.24% when the volume fraction of Ag nanoparticles is raised from 0.00 to 0.04.


Author(s):  
Shivani Sharma ◽  
Navdeep Singh ◽  
Amar Deep Ankalgi ◽  
Arti Rana ◽  
Mahendra Singh Ashawat

Direct real time analysis (DART) is the most successful tool for the analysis of the compounds. This technique is useful for the identification, and classification of compounds. It is widely followed by the forensic chemistry, and also used for many purposes. Their main applications include inks, paints, drugs, bank dyes, explosives, beverages, and gunshot etc. The basic concepts of DART-MS were highlighted to understand the process. Also the basic fundamentals of DART-MS including special function were discussed. Various natural products were discovered by DART-MS includes plant tissue, insects, and microbe etc. The main focus of this review article is on the applications of direct real time analysis, which covers the varieties of uses in our pharmaceutical as well as chemical industries. This technique was helpful in the production of food material, and to identify the contaminants from animal sources in the part of veterinary drugs. Also, used in food processing in the form of additives, and adulterants. DART-MS has huge applications on analysis of seized drug like steroids supplements, psychoactive plants etc. Also, in inks, paint, and documents industry this technique has been widely used. So, this review covers the basic fundamentals of direct real time analysis DART-MS, and their applications.


2021 ◽  
Vol 9 (3) ◽  
pp. 109
Author(s):  
S. Suprianto ◽  
I Made Budiarsa ◽  
Fatmah Dhafir ◽  
Ni Kadek Dewi Permatasari ◽  
Gusti Ayu Kadek Yunita Safitri

Neurotrophin Factor 3 (NTF3) is one of the genes that plays an important role in the regulation of the neural systems of vertebrate animals, this gene has a special function in explaining the survival factors of some vertebrate animals. Based on the information obtained from GenBank, the nucleotide sequence of the NTF-3 gene in several vertebrate animals has been known and some of the data obtained have not been studied further for research purposes in adding information related to the molecular character of the NTF-3 gene, such as the NTF-3 gene in Columbidae. Columbidae is a group of birds that have quite diverse species variations, the number of species in columbidae will be very helpful in obtaining data on comparisons of the genetic character of the NTF3 gene. The purpose of this study was to analyze and describe the information on the NTF-3 gene (Neurotrophic Factor 3) in Columbidae through the in silico approach with computational methods. The NTF3 gene nucleotide sequences in Columbidae showed a fairly high level of similarity to the base sequences. This illustrates the fairly close proximity between each species. Geotrygon Montana is a species of Columbidae which has variations of the Base sequence which is quite different from other species. Evaluation of the model structure shows good stability of each target protein, all evaluation results describe a good structure, meaning that the conformation of each target sequence is in accordance with the sequence, so that the structure that is built has high accuracy with the actual model. The results of this research study can be a special description in explaining the genetic characteristics of several Columbidae species for the purposes of conservation measures or efforts to preserve Columbidae species at the molecular and population genetic levels.


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