Two-dimensional inverse problem of Dynamics for families in parametric form
Abstract The two-dimensional inverse problem of dynamics is considered for nonconservative force fields, both in inertial and rotating frames. The…
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Families of similar orbits in the inverse problem of Dynamics
Abstract The family of orbits given in advance in the inverse problem of dynamics can be described in implicit or…
A solvable version of the direct problem of Dynamics
Abstract Given any two-dimensional potential \(V(x,y)\), we find (if there exists, of course) without integration of the pertinent equation of…
Families of straight lines in rotating frames
Abstract In the light of the inverse problem of dynamics, we establish families of straight lines, possibly traced by a…
Families of straight lines in planar potentials
Abstract It is shown that all planar potentials V(x, y) that can give rise, among other conditions, to monoparametric families of straight…
The inverse problem of Dynamics
Abstract AuthorsMira-Cristiana Anisiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Romania Keywords? Paper coordinatesM.-C. Anisiu, The inverse problem of…
A simple proof of the second mean value theorem for the Lebesgue integral
Abstract AuthorsMira-Cristiana Anisiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Romania Valeriu Anisiu Babes-Bolyai Universitatis Cluj-Napoca, Romania Keywords? Paper…
Maximal complexity of finite words
Abstract The subword complexity of a finite \(\omega\) of length \(N\) is a function which associates to each \(n\leq N\)…
Finite words with special complexity properties
Abstract AuthorsMira-Cristiana Anisiu Tiberiu Popoviciu Institute of Numerical Analysis Cluj-Napoca, Romanian Academy Keywords? Paper coordinatesM.-C. Anisiu, Finite words with special…
Univariate Shepard operators combined with least squares fitting polynomials
Abstract We obtain new univariate Shepard operators using polynomials that are constructed such that they fit the interpolation data in…