Proof of bijection for combinatorial number system

Autor: Siddique, Abu Bakar, Farid, Saadia, Tahir, Muhammad

Combinatorial number system represents a non-negative natural numbers as sum of binomial coefficients. This paper presents an induction proof that there exists unique representation of every non-negative natural number $m$ as sum of $r$ binomial coef

Externí odkaz: http://arxiv.org/abs/1601.05794

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sj-docx-1-pie-10.1177_09544089211047747 - Supplemental material for Investigation of dynamics of SWCNTs and MWCNTs nanoparticles in blood flow using the Atangana–Baleanu time fractional derivative with ramped temperature

Autor: Raza, Ali, Al-Khaled, Kamel, Khan, MI, Farid, Saadia, Khan, Sami U, Shah, Syed I, Ali, Rifaqat

Supplemental material, sj-docx-1-pie-10.1177_09544089211047747 for Investigation of dynamics of SWCNTs and MWCNTs nanoparticles in blood flow using the Atangana–Baleanu time fractional derivative with ramped temperature by Ali Raza, Kamel Al-Khaled

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::87c1df2260f481e46f62ccb911d712ab

Heat and mass transfer of unsteady mixed convection flow of Casson fluid within the porous media under the influence of magnetic field over a nonlinear stretching sheet.

Autor: Ashraf, Samina, Mushtaq, Muhammad, Jabeen, Kanwal, Farid, Saadia, Muntazir, Rana Muhammad Akram

Publikováno v: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science (Sage Publications, Ltd.); Jan2023, Vol. 237 Issue 1, p20-38, 19p