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.