Sentence examples for conjecture states from inspiring English sources

Strassen's conjecture states that computational complexity is additive when the variables are independent.

Treves conjecture states that an operator of this type is analytic hypoelliptic if and only if all the strata in the Poisson Treves stratification are symplectic.

The well-known ISTs conjecture, Vertex/Edge Conjecture, states that any n-connected/n-edge-connected graph has n vertex-ISTs/edge-ISTs rooted at an arbitrary vertex r.

The n-dimensional Poincaré conjecture states that every topological n-manifold having the same homology and the same fundamental group as an n-dimensional sphere must be homeomorphic to the n-dimensional sphere.

This conjecture states that almost all polynomial equations that define curves have at most finitely many rational solutions; the cases excluded from the conjecture are the simple ones that are much better understood.

While it is known that d(S,T ⩽2n−6, a well-known conjecture states that there are trees for which this bound is sharp for any value of n⩾11.

This solves a conjecture stated by I. Kovacs in 1970.

As a result, we propose a conjecture stating the connection of the pressure difference term to these multidimensional shock instabilities and hence a cure to those difficulties.

A weak version of a conjecture stated by Kannan, Lovász and Simonovits claims that an isotropic log-concave probability μ on Rn should be concentrated in a thin Euclidean shell in the following way:(1)∀t∈[0,nκ],μ{x∈Rn:(1−tnκ)⩽|x|√n⩽(1+tnκ)}⩾1−Ce−ct where κ="1/2 and c and C are positive absolute constants.

The main result of this paper is to prove the conjecture stated in [ 18] by giving a quadratic lower bound on f(r).

The GGE-conjecture states that the stationary expectation value of any local observable is equal to the ensemble expectation values or equivalently that of the reduced density matrix of local observables.