## 31 Citations

Propriedade do valor intermédio vs. continuidade

- 2011

A definicao de continuidade nem sempre foi a que aceitamos actualmente e, em particular, chegou a confundir-se com a propriedade do valor intermedio. Esclarecidas as duas nocoes, certo e que a…

Low Degree Testing over the Reals

- Mathematics, Computer ScienceArXiv
- 2022

The problem of testing whether a function f : R n → R is a polynomial of degree at most d in the distribution-free testing model is studied and a new stability theorem for multivariate polynomials that may be of independent interest is proved.

Generalized uncertainty principle or curved momentum space?

- PhysicsPhysical Review D
- 2021

The concept of minimum length, widely accepted as a low-energy effect of quantum gravity, manifests itself in quantum mechanics through generalized uncertainty principles. Curved momentum space, on…

The Mahler measure of a three-variable family and an application to the Boyd–Lawton formula

- Mathematics
- 2021

We prove a formula relating the Mahler measure of an infinite family of three-variable polynomials to a combination of the Riemann zeta function at $$s=3$$ s = 3 and special values of the…

The range of a self-similar additive gamma process is a scale invariant Poisson point process

- Mathematics
- 2021

It is shown that for a non-decreasing self-similar stochastic process T with independent increments, the range of T forms a Poisson point process with σ -ﬁnite intensity if and only if the…

“He was poking holes …” A case study on figuring out metadiscursive rules through primary sources

- Sociology
- 2021

Contribution of Italian Mathematicians to Real Analysis in the last Decades of Nineteenth Century

- Mathematics
- 2019

In (Biacino 2018) the evolution of the concept of real function of a real variable at the beginning of 1900 is outlined, reporting the discussions and the polemics, in which some young French…

TRIUMPHS Student Projects: Detailed Descriptions TRansforming Instruction in Undergraduate Mathematics via Primary Historical Sources

- Physics
- 2019

F 01. A Genetic Context for Understanding the Trigonometric Functions In this project, we explore the genesis of the trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.…

A Functional Equation Characterization of Archimedean Ordered Fields

- MathematicsAm. Math. Mon.
- 2018

Abstract We prove that an ordered field is Archimedean if and only if every continuous additive function from the field to itself is linear over the field.