F. Lima

activity

20052019

most citedAn accurate formula for the period of a simple pendulum oscillating beyond the small-angle regime

79 citations · 125 across the 14 of their papers we have counts for

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Showing 2011Show all

3 papers · 1 filter

physics.class-ph2011★ 23 cited

Using surface integrals for checking the Archimedes' law of buoyancy

F. M. S. Lima

A mathematical derivation of the force exerted by an \emph{inhomogeneous} (i.e., compressible) fluid on the surface of an \emph{arbitrarily-shaped} body immersed in it is not found…

math.NT2011

A shortened recurrence relation for the Bernoulli numbers

F. M. S. Lima

In this note, starting with a little-known result of Kuo, I derive a recurrence relation for the Bernoulli numbers $B_{2 n}$ , $n$ being any positive integer. This new recurrence se…

math.HO2011★ 2 cited

Another elementary proof of $\sum_{n \geq 1} 1/ n^{2} = π^{2} /6$ and a recurrence formula for $ζ (2 k)$

F. M. S. Lima

In this shortnote, a series expansion technique introduced recently by Dancs and He for generating Euler-type formulae for odd zeta values $ζ (2 k + 1)$ , $ζ (s)$ being the Riema…

Using surface integrals for checking the Archimedes' law of buoyancy

A shortened recurrence relation for the Bernoulli numbers

Another elementary proof of ∑n≥1​1/n2=π2/6 and a recurrence formula for ζ(2k)

Another elementary proof of $\sum_{n \geq 1} 1/ n^{2} = π^{2} /6$ and a recurrence formula for $ζ (2 k)$