Learn what a conjecture in math is and understand its difference from a theorem. Explore different examples of conjectures in geometry and number...
Learn what a conjecture in math is and understand its difference from a theorem. Explore different examples of conjectures in geometry and number theory. Related to this Question What is Goldbach's conjecture? What is Goldbach's Conjecture? And why is it called a "conjecture"?
f(n)={0if Goldbach's conjecture is true,1otherwise;g(n)={0if in the decimal expansion of π there is a run of at least n consecutive 7's,1otherwise. Is f recursive? Is g recursive? (Goldbach's conjecture says that every even integer gr...
Examples are also constructed that show that this conjecture is false in Rn for any n ≥ 4.doi:10.1112/S0024610704006039Bianchi GabrieleOxford University PressJournal of the London Mathematical SocietyG. Bianchi, Matheron's conjecture for the covariogram problem, J. London Math. Soc. (2) 71 (...
There are more useful (but maybe less thought-provoking) sequences in math: we have some calculators for some of the more "conventional" of them: Arithmetic sequence calculator; Geometric sequence calculator. FAQs What is the Collatz's conjecture? The Collatz's conjecture is an open problem in...
that y can be chosen to be regular, which does not hold in our examples \(x_2,x_3\) . here, we describe one approach how to circumvent this problem; see also [ 2 ]. our constructions of metrizations, heights, and tamagawa measures on universal torsors follow the work of salberger...
Laptev and Safronov (Commun Math Phys 292(1):29–54, 2009) conjectured an inequality between the magnitude of eigenvalues of a non-self-adjoint Schrödinger operator on Rd, d≥2, and an Lq norm of the potential, for any q∈[d/2,d]. Frank (Bull Lond Math Soc 43(4):745–750, ...
Singularities can be characterized into types like Orbifold Singularity, Conifold Singularity and Large Complex Structure Limit. A detailed explanation with examples can be found in 2405.00674. Conformal Perturbation Theory The distances between two points along a trajectory \Gamma on \mathcal{M} can ...
Scientists have trained a computer algorithm to complete a nearly century-old math problem in a mere half hour.
In this section, we first show Conjecture 1.1 does not hold for almost all n∈N. Then some exploring work on the diameter of Rn is carried out.References (18) Ö. Eǧecioǧlu et al. Fibonacci-run graphs I: Basic properties Discrete Appl. Math. (2021) Ö. Eǧecioǧlu et...