Weierstrass function

Known as: Continuous, nowhere differentiable function, Nowhere differentiable function, W (disambiguation)

In mathematics, the Weierstrass function is an example of a pathological real-valued function on the real line. The function has the property of…

Papers overview

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2017

This paper presents a general definition of pseudo-differential operators of type 1, 1; the definition is shown to be the largest…

2012

2012

This paper discuss the longstanding problems of fractional calculus such as too many definitions while lacking physical or…

2011

Let T be Takagi's continuous but nowhere-differentiable function. It is known that almost all level sets (with respect to…

2009

Among the approaches used to analyze biomedical signals, e.g. electroencephalogram, there are methods based on fractal dimension…

2008

Exact results are derived, specifically the perihelion shift and the Kepler orbit, for a bound test particle in the Schwarzschild…

2003

We extend the recently considered toy model of Weierstrass (or Levy) walks with varying velocity of the walker [1,2] by…

2003

Noncommutativity lays hidden in the proofs of classical dynamics. Modern frameworks can be used to bring it to light: *-products…

2001

10790 [2000, 277]. Proposed by Jean Anglesio, Garches, France. Given a real number x, let To be the triangle whose vertices are…

1990

A general algorithm for the construction of infinite periodic minimal surfaces (IPMS) via their Weierstrass function is outlined…