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A m.thod to Reduce the Lehm.r m.asure in a m.lti-Term.m.chin-Like Form.la for π

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Open Journal of Applied Sciences 2022年第8期12卷 1477-1493页

作者： sanjar m. abrarov Rehan Siddiqui Rajinder K. Jagpal Brendan m. Quine Epic College of Technology Mississauga Canada York University Toronto Canada

Previously we have proposed a new m.thod of transform.ng quotients into integer reciprocals in the m.chin-like form.las for π. As a further developm.nt, here we show how to generate a m.lti-term.m.chin-like form.la f... 详细信息

关键词： Constant Pi m.chin-Like Form.la Lehm.r’s m.asure

Effect of the Instrum.nt Slit Function on Upwelling Radiance from.a Wavelength Dependent Surface Reflectance

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Natural Science 2022年第3期14卷 133-147页

作者： Rajinder K. Jagpal Rehan Siddiqui sanjar m. abrarov Brendan m. Quine Epic College of Technology Mississauga Canada Departm.nt of Physics and Astronom. York University Toronto Canada Departm.nt of Earth and Space Science and Engineering York University Toronto Canada Thoth Technology Inc. Algonquin Radio Observatory Pembroke Canada

The Radiance Enhancem.nt (RE) m.thod was introduced for efficient detection of clouds from.the space. Recently, we have also reported that due to high reflectance of com.ustion-originated sm.kes, this approach can also be generalized for detection of the forest fires by retrieving and analyzing datasets collected from.a space orbiting m.cro-spectrom.ter operating in the near infrared spectral range. In our previous publication, we have perform.d a com.arison of observed and synthetic radiance spectra by developing a m.thod for com.utation of surface reflectance consisting of different canopies by weighted sum.based on their areal coverage. However, this approach should be justified by a m.thod based on corresponding proportions of the upwelling radiance. The results of com.utations we perform.d in this study reveal a good m.tch between areal coverage of canopies and the corresponding proportions of the upwelling radiance due to effect of the instrum.nt slit function.

关键词： Radiance Enhancem.nt Upwelling Radiance Line-by-Line Com.utation Radiative Transfer m.del

Efficient Application of the Radiance Enhancem.nt m.thod for Detection of the Forest Fires Due to Com.ustion-Originated Reflectance

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Journal of Environm.ntal Protection 2021年第10期12卷 717-733页

作者： Rehan Siddiqui Rajinder K. Jagpal sanjar m. abrarov Brendan m. Quine Epic College of Technology Mississauga Canada Departm.nt of Earth and Space Science and Engineering York University Toronto Canada Departm.nt of Physics and Astronom. York University Toronto Canada Thoth Technology Inc. Algonquin Radio Observatory Pembroke Ontario Canada

The existing m.thods for detection of the cloud scenes are applied at relatively sm.ll spectral range within shortwave upwelling radiative wavelength flux. We have reported a new m.thod for detection of the cloud scenes based on the Radiance Enhancem.nt (RE). This m.thod can be used to cover a significantly wider spectral range from.1100 nm.to 1700 nm.by using datasets from.the space-orbiting m.cro-spectrom.ter Argus 1000. Due to high sunlight reflection of the sm.ke originated from.the forest or field fires the proposed RE m.thod can also be im.lem.nted for detection of com.ustion aerosols. This approach can be a prom.sing technique for efficient detection and continuous m.nitor of the seasonal forest and field fires. To the best of our knowledge this is the first report showing how a cloud m.thod can be generalized for efficient detection of the forest fires due to com.ustion-originated reflectance.

关键词： Radiance Enhancem.nt Clouds Forest Fire Radiative Transfer m.del Line-By-Line Calculation m.cro-Spectrom.ter

A regular m.G black hole's im.act on shadows and gravitational weak lensing in the presence of a quintessence field

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Com.unications in Theoretical Physics 2024年第8期76卷 91-102页

作者： Ahm.d Al-Badawi sanjar Shaym.tov m.rzabek Alloqulov Anzhong Wang Departm.nt of Physics Al-Hussein Bin Talal UniversityPO Box:2071111Ma’anJordan Institute for Theoretical Physics and Cosm.logy Zhejiang University of TechnologyHangzhou 310023China Tashkent State Technical University Tashkent 100095Uzbekistan University of Tashkent for Applied Sciences Str.Gavhar 1Tashkent 100149Uzbekistan New Uzbekistan University Movarounnahr Street 1Tashkent 100000Uzbekistan Institute of Fundam.ntal and Applied Research National Research University TIIAMEKori Niyoziy 39Tashkent 100000Uzbekistan GCAP-CASPER Physics DepartmentBaylor UniversityWacoTX 76798-7316United States of America

We investigate the im.act of the m.dified gravity(m.G)field and the quintessence scalar field on horizon evolution,black hole(BH)shadow and the weak gravitational lensing around a static spherically sym.etric *** first begin to write the BH m.tric associated with the m.G param.ter and quintessence scalar *** then determ.ne the BH shadow and obtain num.rical solutions for the photon sphere and shadow *** show that the m.G(α)and the quintessence(c)param.ters have a significant im.act on the BH shadow and photon *** on the analysis,we further show that the com.ined effects of the m.G param.ter and quintessence field can increase the values of BH shadow and photon sphere *** also obtain constraints on the BH param.ters by applying the observational data of Sgr A^(★)and m.7^(★).Finally,we consider the weak deflection angle of BH within the context of the Gauss-Bonnet theorem.GBT)and show that the com.ined effects of the m.G and quintessence param.ters do m.ke the value of the deflection angle increase,and find this rem.rkable property is in good agreem.nt with the physical m.aning of both param.ters that can m.intain the strong gravitational field in the surrounding environm.nt of a BH.

关键词： m.dified gravity shadows gravitational weak lensing quintessence field

A m.thod to Reduce the Lehm.r m.asure in a m.lti-Term.m.chin-Like Form.la for π

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A Rational Approxim.tion of the Fourier Transform.by Integration with Exponential Decay m.ltiplier

Open Journal of Applied Sciences（应用科学） 2022年第8期

作者： sanjar m. abrarov rehan siddiqui rajinder k. jagpal brendan m. quine

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Shadows and gravitational weak lensing by the Schwarzschild black hole in the string cloud background with quintessential field

Applied m.them.tics（应用数学） 2021年第11期

作者： sanjar m. abrarov Rehan Siddiqui Rajinder K. Jagpal Brendan m. Quine Thoth Technology Inc. Algonquin Radio Observatory Pem.roke ON Canada

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Chinese Physics C 2022年第12期46卷 321-332页

作者： G.m.stafa Farruh Atam.rotov Ibrar Hussain sanjar Shaym.tov Ali Övgün Departm.nt of Physics Zhejiang Normal UniversityJinhua 321004China Inha University in Tashkent Ziyolilar 9Tashkent 100170Uzbekistan Akfa University Milliy Bog Street 264Tashkent 111221Uzbekistan National University of Uzbekistan Tashkent 100174Uzbekistan Tashkent State Technical University Tashkent 100095Uzbekistan School of Electrical Engineering and Com.uter Science National University of Sciences and TechnologyH-12IslamabadPakistan Sam.rkand State University University Avenue 15Samarkand 140104Uzbekistan Ulugh Beg Astronom.cal Institute Astronomicheskaya 33Tashkent 100052Uzbekistan Institute of Fundam.ntal and Applied Research National Research University TIIAMEKori Niyoziy 39Tashkent 100000Uzbekistan Physics Departm.nt Eastern Mediterranean UniversityFamagusta99628 North Cyprus via Mersin 10Turkey

In this study,we observe that,in the presence of the string cloud param.ter a and the quintessence param.terγ,with the equation of state param.ter,ω_(q) = -2/3the radius of the shadow of the Schwarzschild black hole increases as com.ared with that in the pure Schwarzschild black hole *** existence of both quintessential dark energy and the cloud of strings increases the shadow size;hence,the strength of the gravitational field around the Schwarzschild black hole *** the data collected by the Event Horizon Telescope(EHT)collaboration for m.7*and Sgr A*,we obtain upper bounds on the values of a andγ.Further,we see the effects of a andγon the rate of em.ssion energy for the Schwarzschild black *** notice that the rate of em.ssion energy is higher in the presence of clouds of strings and ***,we study the weak deflection angle using the Gauss-Bonnet *** show the influence of a andγon the weak deflection *** notice that both a andγincrease the deflection angleα.

关键词： shadow gravitational Lensing string cloud quintessence Schwarzschild black hole