Hasil untuk "math.HO"

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arXiv Open Access 2023
About the work of Albert Lautman

Bernard Teissier

Some reflections on the role in the development of Mathematics of our unconscious perception of the world and just as unconscious organizing pulsions for those perceptions.

en math.HO
CrossRef Open Access 2020
Some result for binomial convolution sums of restricted divisor functions

Ho Park, Daeyeoul Kim, Ji So

Besge presented the result about the convolution sum of divisor functions. Since then Liouville obtained the generalized version of Besge's formula, which is the binomial convolution sum of divisor functions. In 2004, Hahn obtained the results about the convolution sums of ?d|n(-1)d-1d and ?d|n (-1)n=d-1d. In this paper, we present the results for the binomial convoltion sums, generalized convolution sums of Hahn, of these divisor functions.

arXiv Open Access 2018
Creative geometry

A. Skutin

This work is a continuation of [1]. As in the previous article, here we will describe some interesting ideas and a lot of new theorems in plane geometry related to them.

en math.HO
arXiv Open Access 2013
On the roots of $a^x+a^{-x}=x$

Ondrej Slučiak

We provide an analytical closed-form solution of the exponential equation $a^x+a^{-x}=x$ for a specific value $a$, discuss the number of roots in general case, and provide bounds on the roots.

en math.HO
arXiv Open Access 2012
Trigonometry of The Gold-Bug

Erik Talvila

The classic Edgar Allan Poe story The Gold-Bug involves digging for pirate treasure. Locating the digging sites requires some simple trigonometry.

en math.HO
arXiv Open Access 2008
Counterexamples in Cake-Cutting

Theodore P. Hill

This article contains counterexamples to theorems and claims in Brams, Jones and Klamler's article "Better Ways to Cut a Cake" in the December 2006 Notices of the American Mathematical Society.

en math.HO

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