Hilbert's 16th problem was posed by David Hilbert at the Paris conference of the International Congress of Mathematicians in 1900, as part of his list...

Ilyashenko in the 1980s. The problem arises from considering modern approaches to Hilbert's sixteenth problem. While Hilbert's original question focused...

all equal to 1 or −1? Hilbert's fifteenth problem: put Schubert calculus on a rigorous foundation. Hilbert's sixteenth problem: what are the possible...

Harmonograph Hedgehog (curve) [1] Hilbert's sixteenth problem Hyperelliptic curve cryptography Inflection point Inscribed square problem intercept, y-intercept,...

examples of M-curves. This theorem formed the background to Hilbert's sixteenth problem. In a recent development a Harnack curve is shown to be a curve...

problem. The number of limit cycles of a polynomial differential equation in the plane is the main object of the second part of Hilbert's sixteenth problem...

hypothesis and the second half of Hilbert's sixteenth problem, both of which are still unsolved. Other famous problems on his list include the Poincaré...

{\displaystyle x>0} . One open problem in real algebraic geometry is the following part of Hilbert's sixteenth problem: Decide which respective positions...

curves, such as space-filling curves, Jordan curve theorem and Hilbert's sixteenth problem. A topological curve can be specified by a continuous function...

spelling Dmitry) was a Soviet mathematician famous for his work on Hilbert's sixteenth problem and the related Gudkov's conjecture in algebraic geometry. He...

had already tried to prove in 1923. This result is related to Hilbert's sixteenth problem. In 1988 Écalle was the inaugural recipient of the Prix Mergier-Bourdeix [fr]...

It was finally proved in 1956 by Christos Papakyriakopoulos. Hilbert's sixteenth problem about the finiteness of the number of limit cycles of a plane...

systems theory and mathematical physics and work related to Hilbert's sixteenth problem. Horozov obtained Master's degree from Sofia University in 1972...

deals with, among other things, what he calls the "infinitesimal Hilbert's sixteenth problem", which asks what one can say about the number and location of...

1942), one of the first female German doctorates, contributed to Hilbert's sixteenth problem Suzan Kahramaner (1913–2006), one of the first female mathematicians...

Curve sketching Jacobian variety Klein quartic List of curves Hilbert's sixteenth problem Cubic plane curve Hyperelliptic curve Birational geometry Conic...

Together with Löbenstein she made a contribution to Hilbert's sixteenth problem. Hilbert's sixteenth problem concerned the topology of algebraic curves in the...

UMRI 7501, CNRS. From 1972 he succeeded in solving a part of Hilbert's sixteenth problem concerning the number of components and the topology of non-singular...

the combined works of Vladimir Arnold and Vladimir Rokhlin. Hilbert's sixteenth problem Tropical geometry Arnold, Vladimir I. (2013). Real Algebraic...

Together with Kahn she made a contribution to Hilbert's sixteenth problem. Hilbert's sixteenth problem concerned the topology of algebraic curves in the...

question of how the various ovals are nested. This was the topic of Hilbert's sixteenth problem. See Harnack's curve theorem for a classical result. Real algebraic...

was a treatment of Hilbert's sixteenth problem, which had been proposed by Hilbert in 1900, along with 22 other unsolved problems of the 19th century;...

Louis Boisgibault, his great grandson. Bendixson–Dulac theorem Hilbert's sixteenth problem Transseries Works by or about Henri Dulac at the Internet Archive...

singularities of differential equations, bifurcation theory, Hilbert's sixteenth problem (the part about differential equations) as well as analysis of...

A. R. (2001). Convex Polyhedra with Regularity Conditions and Hilbert's Third Problem. Texts and Readings in Mathematics. Hindustan Book Agency. p. 84–89...

A. R. (2001), Convex Polyhedra with Regularity Conditions and Hilbert's Third Problem, Texts and Readings in Mathematics, Hindustan Book Agency, doi:10...

dihedral angles of a polyhedron's edges. Another of Hilbert's problems, Hilbert's eighteenth problem, concerns (among other things) polyhedra that tile...

A famous list of 23 open problems, called "Hilbert's problems", was compiled in 1900 by German mathematician David Hilbert. This list has achieved great...

student Vladimir Arnold, he solved a particular interpretation of Hilbert's thirteenth problem. Around this time he also began to develop, and has since been...

example a half note (1/2), a quarter note (1/4), an eighth note (1/8) and a sixteenth note (1/16). Dotted or otherwise modified notes have other durations....