Sarvesh Yadav - Academia.edu (original) (raw)

Papers by Sarvesh Yadav

Journal of Cosmology and Astroparticle Physics, 2022

In the era of precision cosmology, accurate estimation of cosmological parameters is based upon t... more In the era of precision cosmology, accurate estimation of cosmological parameters is based upon the implicit assumption of the Gaussian nature of Cosmic Microwave Background (CMB) radiation. Therefore, an important scientific question to ask is whether the observed CMB map is consistent with Gaussian prediction. In this work, we extend previous studies based on CMB spherical harmonic phases (SHP) to examine the validity of the hypothesis that the temperature field of the CMB is consistent with a Gaussian random field (GRF). The null hypothesis is that the corresponding CMB SHP are independent and identically distributed in terms of a uniform distribution in the interval [0, 2π] [1, 2]. We devise a new model-independent method where we use ordered and non-parametric Rao's statistic, based on sample arc-lengths to comprehensively test uniformity and independence of SHP for a given mode and independence of nearby mode SHP. We performed our analysis on the scales limited by spherical harmonic modes ≤ 128, to restrict ourselves to signal-dominated regions. To find the non-uniform or dependent sets of SHP, we calculate the statistic for the data and 10000 Monte Carlo simulated uniformly random sets of SHP and use 0.05 and 0.001 α levels to distinguish between statistically significant and highly significant detections. We first establish the performance of our method using simulated Gaussian, non-Gaussian CMB temperature maps, along with observed non-Gaussian 100 and 143 GHz Planck channel maps. We find that our method, performs efficiently and accurately in detecting phase correlations generated in all of the non-Gaussian simulations and observed foreground contaminated 100 and 143 GHz Planck channel temperature maps. We apply our method on Planck satellite mission's final released CMB temperature anisotropy maps-COMMANDER, SMICA, NILC, and SEVEM along with WMAP 9 year released ILC map. We report that SHP corresponding to some of the m-modes are non-uniform, some of the mode SHP and neighboring mode pair SHP are correlated in cleaned CMB maps. The detection of non-uniformity or correlation in the SHP indicates the presence of non-Gaussian signals in the foreground minimized CMB maps.

The Astrophysical Journal, Jun 1, 2021

The Cosmic Microwave Background (CMB) radiation B mode polarization signal contains the unique si... more The Cosmic Microwave Background (CMB) radiation B mode polarization signal contains the unique signature of primordial metric perturbations produced during the inflation. The separation of the weak CMB B-mode signal from strong foreground contamination in observed maps is a complex task, and proposed new generation low noise satellite missions compete with the weak signal level of this gravitational background. In this article, for the first time, we employ a foreground model-independent internal linear combination (ILC) method to reconstruct the CMB B mode signal using simulated observations over large angular scales of the sky of 6 frequency bands of future generation CMB mission Probe of Inflation and Cosmic Origins (PICO). We estimate the joint CMB B mode posterior density following the interleaving Gibbs steps of B mode angular power spectrum and cleaned map samples using the ILC method. We extend and improve the earlier reported Bayesian ILC method to analyze weak CMB B mode reconstruction by introducing noise bias corrections at two stages during the ILC weight estimation. By performing 200 Monte Carlo simulations of the Bayesian ILC method, we find that our method can reconstruct the CMB signals and the joint posterior density accurately over large angular scales of the sky. We estimate Blackwell-Rao statistics of the marginal density of CMB B mode angular power spectrum and use them to estimate the joint density of scalar to tensor ratio r and a lensing power spectrum amplitude A lens. Using 200 Monte Carlo simulations of the delensing approach, we find that our method can achieve an unbiased detection of the primordial gravitational wave signal r with more than 8σ significance for levels of r 0.01.

Lobachevskii Journal of Mathematics, Dec 1, 2022

International Journal of Advance Research and Innovative Ideas in Education, 2019

rainwater harvesting in an mainly important to storge water in ranny saeason where as thern refil... more rainwater harvesting in an mainly important to storge water in ranny saeason where as thern refill borewell

GSC Biological and Pharmaceutical Sciences

Introduction: Though with the invent of better diagnostic and therapeutic modalities the mortalit... more Introduction: Though with the invent of better diagnostic and therapeutic modalities the mortality rates due to cancer have fallen over the past years, but infection remains a primary or associated cause of death, with bacteria most commonly agent. Objectives: This study was undertaken to monitor the types of pathogens commonly found in cancer patients undergoing anticancer treatment and their antibiotic resistance patterns. Materials and methods: Total 100 patients, who were admitted for chemotherapy in department from 1 may 2021 to 31st July 2021 were enrolled and different samples were taken were sent to microbiology department for culture and sensitivity and then analysis was done. Results: Maximum number of samples were of pus (26%) and sputum (26%), followed by urine sample, while blood and vaginal swab samples were least. Overall, 91% organism were gram negative bacteria. In pus samples, maximum no.of microbes found were klebsiella pneumoniae (37.03%) followed by E.coli (33.3...

Lobachevskii Journal of Mathematics

The Astrophysical Journal

The Cosmic Microwave Background (CMB) radiation B mode polarization signal contains the unique si... more The Cosmic Microwave Background (CMB) radiation B mode polarization signal contains the unique signature of primordial metric perturbations produced during the inflation. The separation of the weak CMB B-mode signal from strong foreground contamination in observed maps is a complex task, and proposed new generation low noise satellite missions compete with the weak signal level of this gravitational background. In this article, for the first time, we employ a foreground model-independent internal linear combination (ILC) method to reconstruct the CMB B mode signal using simulated observations over large angular scales of the sky of 6 frequency bands of future generation CMB mission Probe of Inflation and Cosmic Origins (PICO). We estimate the joint CMB B mode posterior density following the interleaving Gibbs steps of B mode angular power spectrum and cleaned map samples using the ILC method. We extend and improve the earlier reported Bayesian ILC method to analyze weak CMB B mode reconstruction by introducing noise bias corrections at two stages during the ILC weight estimation. By performing 200 Monte Carlo simulations of the Bayesian ILC method, we find that our method can reconstruct the CMB signals and the joint posterior density accurately over large angular scales of the sky. We estimate Blackwell-Rao statistics of the marginal density of CMB B mode angular power spectrum and use them to estimate the joint density of scalar to tensor ratio r and a lensing power spectrum amplitude A lens. Using 200 Monte Carlo simulations of the delensing approach, we find that our method can achieve an unbiased detection of the primordial gravitational wave signal r with more than 8σ significance for levels of r 0.01.

Tamkang Journal of Mathematics

In this paper we discussed CR-submanifold of SQ-Sasakian manifold. Next, we considered Chaki pseu... more In this paper we discussed CR-submanifold of SQ-Sasakian manifold. Next, we considered Chaki pseudo parallel as well as Deszcz pseudo parallel CR-submanifold of SQ-Sasakian manifold. Further we studied almost Ricci soliton and almost Yamabe soliton with torse forming vector field on CR-subamnifold of SQ-Sasakian manifold using semi-symmetric metric connection.

Social Science Research Network, 2022

Filomat

In this paper, we study slant helix using modified orthogonal frame in Minkowski space E31 with t... more In this paper, we study slant helix using modified orthogonal frame in Minkowski space E31 with timelike, lightlike and spacelike axes. We also study a general slant helix with the Killing vector field axis. Furthermore, we give a non-trivial example and find the relations for curvature and torsion of f-biharmonic slant helix.

Facta Universitatis, Series: Mathematics and Informatics, Oct 9, 2021

In this paper, we have established some geometric inequalities for the squared mean curvature in ... more In this paper, we have established some geometric inequalities for the squared mean curvature in terms of warping functions of a doubly warped product pointwise bi-slant submanifold of a conformal Sasakian space form with a quarter symmetric metric connection. The equality cases havve also been considered. Moreover, some applications of obtained results are derived.

International Journal of Geometric Methods in Modern Physics, 2022

In this paper, we study [Formula: see text]-biharmonic Riemannian submersion, bi-[Formula: see te... more In this paper, we study [Formula: see text]-biharmonic Riemannian submersion, bi-[Formula: see text]-harmonic Riemannian submersion and thus generalizing some results of [M. A. Akyol and Y.-L. Ou, Biharmonic Riemannian submersions, Ann. Math. Pura Appl. 198 (2019) 559–570; Z. Wang and Y.-L. Ou, Biharmonic Riemannian submersions from 3-manifolds, Math. Z. 269(3) (2011) 917–925]. Next, we obtain the conditions when the Riemannian submersion on its first factor is [Formula: see text]-biharmonic as well as bi-[Formula: see text]-harmonic. In the last section, we study [Formula: see text]-biharmonic cylinders of a Riemannian submersion.

Filomat, 2022

In this article, we discuss interpolating sesqui-harmonic slant curves in generalized Sasakian sp... more In this article, we discuss interpolating sesqui-harmonic slant curves in generalized Sasakian space form and find the necessary and sufficient conditions for slant curves to be interpolating sesquiharmonic. Next, we study sesqui minimal slant curves in generalized Sasakian space form. In particular we give an example of interpolating sesqui-harmonic slant curve in Sasakian space form. Our paper generalizes the results of the papers [8, 16, 20].

Journal of Cosmology and Astroparticle Physics, 2022

In the era of precision cosmology, accurate estimation of cosmological parameters is based upon t... more In the era of precision cosmology, accurate estimation of cosmological parameters is based upon the implicit assumption of the Gaussian nature of Cosmic Microwave Background (CMB) radiation. Therefore, an important scientific question to ask is whether the observed CMB map is consistent with Gaussian prediction. In this work, we extend previous studies based on CMB spherical harmonic phases (SHP) to examine the validity of the hypothesis that the temperature field of the CMB is consistent with a Gaussian random field (GRF). The null hypothesis is that the corresponding CMB SHP are independent and identically distributed in terms of a uniform distribution in the interval [0, 2π] [1,2]. We devise a new model-independent method where we use ordered and non-parametric Rao's statistic, based on sample arc-lengths to comprehensively test uniformity and independence of SHP for a given ℓ mode and independence of nearby ℓ mode SHP. We performed our analysis on the scales limited by spher...

International Journal of Scientific Research in Science and Technology, 2021

The effects of overtaking disturbances behind the flow on the propagation of diverging cylindrica... more The effects of overtaking disturbances behind the flow on the propagation of diverging cylindrical shock Waves through an ideal gas in presence of a magnetic field having =constant= and an Initial density distribution where is a constant, is the density at the plane / exes of symmetry: The analytical formula for flow variables representing both the position form viz; weak and strong cases at shock waves have been obtained. Their numerical estimates at permissible shock front locations have been obtained. There numerical estimates at permissible shock front location's have been Calculated and compared with earlier result describing in Free Propagation through figures. After inclusion of E.O.D. noted that there is no change at flow variable with parameters and . However, the trends of variation with propagation distance r, for shock strength, shock velocity and particle velocity are not change in case of weak shock with work Magnetic field(wswmf).

International Journal of Current Microbiology and Applied Sciences, 2017

International Journal of Advance Research and Innovative Ideas in Education, 2019

rainwater harvesting in an mainly important to storge water in ranny saeason where as thern refil... more rainwater harvesting in an mainly important to storge water in ranny saeason where as thern refill borewell

Journal of Cosmology and Astroparticle Physics, 2022

In the era of precision cosmology, accurate estimation of cosmological parameters is based upon t... more In the era of precision cosmology, accurate estimation of cosmological parameters is based upon the implicit assumption of the Gaussian nature of Cosmic Microwave Background (CMB) radiation. Therefore, an important scientific question to ask is whether the observed CMB map is consistent with Gaussian prediction. In this work, we extend previous studies based on CMB spherical harmonic phases (SHP) to examine the validity of the hypothesis that the temperature field of the CMB is consistent with a Gaussian random field (GRF). The null hypothesis is that the corresponding CMB SHP are independent and identically distributed in terms of a uniform distribution in the interval [0, 2π] [1, 2]. We devise a new model-independent method where we use ordered and non-parametric Rao's statistic, based on sample arc-lengths to comprehensively test uniformity and independence of SHP for a given mode and independence of nearby mode SHP. We performed our analysis on the scales limited by spherical harmonic modes ≤ 128, to restrict ourselves to signal-dominated regions. To find the non-uniform or dependent sets of SHP, we calculate the statistic for the data and 10000 Monte Carlo simulated uniformly random sets of SHP and use 0.05 and 0.001 α levels to distinguish between statistically significant and highly significant detections. We first establish the performance of our method using simulated Gaussian, non-Gaussian CMB temperature maps, along with observed non-Gaussian 100 and 143 GHz Planck channel maps. We find that our method, performs efficiently and accurately in detecting phase correlations generated in all of the non-Gaussian simulations and observed foreground contaminated 100 and 143 GHz Planck channel temperature maps. We apply our method on Planck satellite mission's final released CMB temperature anisotropy maps-COMMANDER, SMICA, NILC, and SEVEM along with WMAP 9 year released ILC map. We report that SHP corresponding to some of the m-modes are non-uniform, some of the mode SHP and neighboring mode pair SHP are correlated in cleaned CMB maps. The detection of non-uniformity or correlation in the SHP indicates the presence of non-Gaussian signals in the foreground minimized CMB maps.

The Astrophysical Journal, Jun 1, 2021

The Cosmic Microwave Background (CMB) radiation B mode polarization signal contains the unique si... more The Cosmic Microwave Background (CMB) radiation B mode polarization signal contains the unique signature of primordial metric perturbations produced during the inflation. The separation of the weak CMB B-mode signal from strong foreground contamination in observed maps is a complex task, and proposed new generation low noise satellite missions compete with the weak signal level of this gravitational background. In this article, for the first time, we employ a foreground model-independent internal linear combination (ILC) method to reconstruct the CMB B mode signal using simulated observations over large angular scales of the sky of 6 frequency bands of future generation CMB mission Probe of Inflation and Cosmic Origins (PICO). We estimate the joint CMB B mode posterior density following the interleaving Gibbs steps of B mode angular power spectrum and cleaned map samples using the ILC method. We extend and improve the earlier reported Bayesian ILC method to analyze weak CMB B mode reconstruction by introducing noise bias corrections at two stages during the ILC weight estimation. By performing 200 Monte Carlo simulations of the Bayesian ILC method, we find that our method can reconstruct the CMB signals and the joint posterior density accurately over large angular scales of the sky. We estimate Blackwell-Rao statistics of the marginal density of CMB B mode angular power spectrum and use them to estimate the joint density of scalar to tensor ratio r and a lensing power spectrum amplitude A lens. Using 200 Monte Carlo simulations of the delensing approach, we find that our method can achieve an unbiased detection of the primordial gravitational wave signal r with more than 8σ significance for levels of r 0.01.

Lobachevskii Journal of Mathematics, Dec 1, 2022

International Journal of Advance Research and Innovative Ideas in Education, 2019

rainwater harvesting in an mainly important to storge water in ranny saeason where as thern refil... more rainwater harvesting in an mainly important to storge water in ranny saeason where as thern refill borewell

GSC Biological and Pharmaceutical Sciences

Introduction: Though with the invent of better diagnostic and therapeutic modalities the mortalit... more Introduction: Though with the invent of better diagnostic and therapeutic modalities the mortality rates due to cancer have fallen over the past years, but infection remains a primary or associated cause of death, with bacteria most commonly agent. Objectives: This study was undertaken to monitor the types of pathogens commonly found in cancer patients undergoing anticancer treatment and their antibiotic resistance patterns. Materials and methods: Total 100 patients, who were admitted for chemotherapy in department from 1 may 2021 to 31st July 2021 were enrolled and different samples were taken were sent to microbiology department for culture and sensitivity and then analysis was done. Results: Maximum number of samples were of pus (26%) and sputum (26%), followed by urine sample, while blood and vaginal swab samples were least. Overall, 91% organism were gram negative bacteria. In pus samples, maximum no.of microbes found were klebsiella pneumoniae (37.03%) followed by E.coli (33.3...

Lobachevskii Journal of Mathematics

The Astrophysical Journal

The Cosmic Microwave Background (CMB) radiation B mode polarization signal contains the unique si... more The Cosmic Microwave Background (CMB) radiation B mode polarization signal contains the unique signature of primordial metric perturbations produced during the inflation. The separation of the weak CMB B-mode signal from strong foreground contamination in observed maps is a complex task, and proposed new generation low noise satellite missions compete with the weak signal level of this gravitational background. In this article, for the first time, we employ a foreground model-independent internal linear combination (ILC) method to reconstruct the CMB B mode signal using simulated observations over large angular scales of the sky of 6 frequency bands of future generation CMB mission Probe of Inflation and Cosmic Origins (PICO). We estimate the joint CMB B mode posterior density following the interleaving Gibbs steps of B mode angular power spectrum and cleaned map samples using the ILC method. We extend and improve the earlier reported Bayesian ILC method to analyze weak CMB B mode reconstruction by introducing noise bias corrections at two stages during the ILC weight estimation. By performing 200 Monte Carlo simulations of the Bayesian ILC method, we find that our method can reconstruct the CMB signals and the joint posterior density accurately over large angular scales of the sky. We estimate Blackwell-Rao statistics of the marginal density of CMB B mode angular power spectrum and use them to estimate the joint density of scalar to tensor ratio r and a lensing power spectrum amplitude A lens. Using 200 Monte Carlo simulations of the delensing approach, we find that our method can achieve an unbiased detection of the primordial gravitational wave signal r with more than 8σ significance for levels of r 0.01.

Tamkang Journal of Mathematics

In this paper we discussed CR-submanifold of SQ-Sasakian manifold. Next, we considered Chaki pseu... more In this paper we discussed CR-submanifold of SQ-Sasakian manifold. Next, we considered Chaki pseudo parallel as well as Deszcz pseudo parallel CR-submanifold of SQ-Sasakian manifold. Further we studied almost Ricci soliton and almost Yamabe soliton with torse forming vector field on CR-subamnifold of SQ-Sasakian manifold using semi-symmetric metric connection.

Social Science Research Network, 2022

Filomat

In this paper, we study slant helix using modified orthogonal frame in Minkowski space E31 with t... more In this paper, we study slant helix using modified orthogonal frame in Minkowski space E31 with timelike, lightlike and spacelike axes. We also study a general slant helix with the Killing vector field axis. Furthermore, we give a non-trivial example and find the relations for curvature and torsion of f-biharmonic slant helix.

Facta Universitatis, Series: Mathematics and Informatics, Oct 9, 2021

In this paper, we have established some geometric inequalities for the squared mean curvature in ... more In this paper, we have established some geometric inequalities for the squared mean curvature in terms of warping functions of a doubly warped product pointwise bi-slant submanifold of a conformal Sasakian space form with a quarter symmetric metric connection. The equality cases havve also been considered. Moreover, some applications of obtained results are derived.

International Journal of Geometric Methods in Modern Physics, 2022

In this paper, we study [Formula: see text]-biharmonic Riemannian submersion, bi-[Formula: see te... more In this paper, we study [Formula: see text]-biharmonic Riemannian submersion, bi-[Formula: see text]-harmonic Riemannian submersion and thus generalizing some results of [M. A. Akyol and Y.-L. Ou, Biharmonic Riemannian submersions, Ann. Math. Pura Appl. 198 (2019) 559–570; Z. Wang and Y.-L. Ou, Biharmonic Riemannian submersions from 3-manifolds, Math. Z. 269(3) (2011) 917–925]. Next, we obtain the conditions when the Riemannian submersion on its first factor is [Formula: see text]-biharmonic as well as bi-[Formula: see text]-harmonic. In the last section, we study [Formula: see text]-biharmonic cylinders of a Riemannian submersion.

Filomat, 2022

In this article, we discuss interpolating sesqui-harmonic slant curves in generalized Sasakian sp... more In this article, we discuss interpolating sesqui-harmonic slant curves in generalized Sasakian space form and find the necessary and sufficient conditions for slant curves to be interpolating sesquiharmonic. Next, we study sesqui minimal slant curves in generalized Sasakian space form. In particular we give an example of interpolating sesqui-harmonic slant curve in Sasakian space form. Our paper generalizes the results of the papers [8, 16, 20].

Journal of Cosmology and Astroparticle Physics, 2022

In the era of precision cosmology, accurate estimation of cosmological parameters is based upon t... more In the era of precision cosmology, accurate estimation of cosmological parameters is based upon the implicit assumption of the Gaussian nature of Cosmic Microwave Background (CMB) radiation. Therefore, an important scientific question to ask is whether the observed CMB map is consistent with Gaussian prediction. In this work, we extend previous studies based on CMB spherical harmonic phases (SHP) to examine the validity of the hypothesis that the temperature field of the CMB is consistent with a Gaussian random field (GRF). The null hypothesis is that the corresponding CMB SHP are independent and identically distributed in terms of a uniform distribution in the interval [0, 2π] [1,2]. We devise a new model-independent method where we use ordered and non-parametric Rao's statistic, based on sample arc-lengths to comprehensively test uniformity and independence of SHP for a given ℓ mode and independence of nearby ℓ mode SHP. We performed our analysis on the scales limited by spher...

International Journal of Scientific Research in Science and Technology, 2021

The effects of overtaking disturbances behind the flow on the propagation of diverging cylindrica... more The effects of overtaking disturbances behind the flow on the propagation of diverging cylindrical shock Waves through an ideal gas in presence of a magnetic field having =constant= and an Initial density distribution where is a constant, is the density at the plane / exes of symmetry: The analytical formula for flow variables representing both the position form viz; weak and strong cases at shock waves have been obtained. Their numerical estimates at permissible shock front locations have been obtained. There numerical estimates at permissible shock front location's have been Calculated and compared with earlier result describing in Free Propagation through figures. After inclusion of E.O.D. noted that there is no change at flow variable with parameters and . However, the trends of variation with propagation distance r, for shock strength, shock velocity and particle velocity are not change in case of weak shock with work Magnetic field(wswmf).

International Journal of Current Microbiology and Applied Sciences, 2017

International Journal of Advance Research and Innovative Ideas in Education, 2019

rainwater harvesting in an mainly important to storge water in ranny saeason where as thern refil... more rainwater harvesting in an mainly important to storge water in ranny saeason where as thern refill borewell