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1

DR. SHARMILA KUMRI

Abstract:
This paper shows to calculate Highest common factors by Modern method and Vedic method lopna sthapanabhayam sutra sankalan - vyavakalabhyam process and the Adyamadya rule. It can also be applied in polynomial expressions


1-4
2

Vikash1, Dr. Mahender Singh Poonia2

Abstract:
The purpose of this section is to provide an overview of the research that we have been conducting in our investigation into the direct change idea, with a focus on learning difficulties, common mental models that understudies may have about it, a system of an inherited rot that depicts an expected way by which this idea can be created, issues that understudies may comprehend as to registers of depiction, and the work that unique estimation conditions may plough. In this paper, the estimation of covariance matrices based on multivariate sign and rank vectors is discussed. Equivariance and robustness properties of the sign and rank covariance matrices are described. We show their use for the principal components analysis (PCA) problem. Limiting efficiencies of the estimation procedures for PCA are compared.


5-10
3

  • Analyze the correlation between restricted partition function congruences and modular form Fourier coefficients, emphasizing any new number-theoretic implications

    DOI:DOI:18.A003.aarf.J14I01.010184

Meena Rani1, Dr. Vineeta Basootia2

Abstract:
This work aims to examine the occurrence of congruences and thoroughly assess various classes of limited partition functions, particularly in relation to their modular behavior. This study examines the restricted partition functions of the type p_k (q^2 m+b) for certain primes q with k=3,5,7. For each k, we look at primes q that satisfy p_k (q^2 m+b)≡0modk for all natural numbers m. One especially productive area of research in partition theory is the study of congruence behavior in constrained partition functions. This is the process of identifying the conditions under which certain functions\' values exhibit predictable patterns modulo integers. We then demonstrate our results using a conventional proving technique for each scenario.\r\n


11-20
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