Zobrazeno 1 - 10
of 422
pro vyhledávání: '"Jagpal, P"'
Publikováno v:
AppliedMath 2024, 4(3), 868-888
In this work, we consider the properties of the two-term Machin-like formula and develop an algorithm for computing digits of $\pi$ by using its rational approximation. In this approximation, both terms are constructed by using a representation of $1
Externí odkaz:
http://arxiv.org/abs/2406.08510
Publikováno v:
Math. Comput. Appl. 2024, 29(2), 17
In this work, we develop a new iterative method for computing the digits of $\pi$ by argument reduction of the tangent function. This method combines a modified version of the iterative formula for $\pi$ with squared convergence that we proposed in a
Externí odkaz:
http://arxiv.org/abs/2312.05413
A generalized series expansion of the arctangent function based on the enhanced midpoint integration
Publikováno v:
AppliedMath 2023, 3(2), 395-405
In this work we derive a generalized series expansion of the acrtangent function by using the enhanced midpoint integration (EMI). Algorithmic implementation of the generalized series expansion utilizes two-step iteration without surd and complex num
Externí odkaz:
http://arxiv.org/abs/2302.01911
Publikováno v:
Advances in Medical Education and Practice, Vol Volume 15, Pp 409-417 (2024)
Sugeet K Jagpal,1,* Abdullah Alismail,2,3,* Erica Lin,4 Lauren Blackwell,5 Nayla Ahmed,6 May M Lee,7 Jared Chiarchiaro8 1Division of Pulmonary, Critical Care and Sleep Medicine, Rutgers Robert Wood Johnson Medical School, New Brunswick, NJ, U
Externí odkaz:
https://doaj.org/article/fa558224df014d0f9738e7a77b43bef5
Publikováno v:
Mathematics 2022, 10(19), 3451
In this work we develop a new algorithm for the efficient computation of the Voigt/complex error function. In particular, in this approach we propose a two-domain scheme where the number of the interpolation grid-points is dependent on the input para
Externí odkaz:
http://arxiv.org/abs/2209.15378
Autor:
Marilyn N. Bulloch, Maria Cardinale-King, Sarah Cogle, Sara Radparvar, Muhammad Effendi, Sugeet Jagpal, Deepali Dixit
Publikováno v:
Intensive Care Research, Vol 4, Iss 1, Pp 19-37 (2024)
Abstract Introduction The majority of patients in the intensive care unit (ICU) are at risk for at least one electrolyte abnormality and critically ill patients are the most vulnerable population to the effects of suboptimal electrolyte levels. These
Externí odkaz:
https://doaj.org/article/c73007d2a9064518bd55678199299370
Publikováno v:
Open Journal of Applied Sciences, 12(8), 2022, pp. 1477-1493
Previously we have proposed a new method of transforming quotients into integer reciprocals in the Machin-like formulas for $\pi$. As a further development, here we show how to generate a multi-term Machin-like formula for $\pi$ with a reduced Lehmer
Externí odkaz:
http://arxiv.org/abs/2202.13787
Publikováno v:
Journal of Integer Sequences, Vol. 25 (2022), Article 22.4.5
We present a new form of the Machin-like formula for $\pi$ that can be generated by using iteration. This form of the Machin-like formula may be promising for computation of the constant $\pi$ due to rapidly increasing integers at each step of the it
Externí odkaz:
http://arxiv.org/abs/2108.07718
Publikováno v:
Mathematics 2021, 9(17), 2162
In our earlier publication we have shown how to compute by iteration a rational number ${u_{2,k}}$ in the two-term Machin-like formula for pi of kind $$\frac{\pi}{4}=2^{k-1}\arctan\left(\frac{1}{u_{1,k}}\right)+\arctan\left(\frac{1}{u_{2,k}}\right),\
Externí odkaz:
http://arxiv.org/abs/2107.01027
Publikováno v:
Natural Science, 14(3), 2022, pp. 133-147
The Radiance Enhancement (RE) method was introduced for efficient detection of clouds from the space. Recently, we have also reported that due to high reflectance of combustion-originated smokes, this approach can also be generalized for detection of
Externí odkaz:
http://arxiv.org/abs/2104.07126