Sentence examples for conjectures formulated from inspiring English sources

A mathematical basis for the agreements or deviations observed in previous experimental works as well as for some conjectures formulated in related literature is provided.

The case w≡1 gives a positive answer to a conjecture formulated in Kruglyak and Setterqvist (2008) [8], where this estimate is proved only when p⩾2 is an integer.

Those factors are typically associated with the conjecture formulated by the famous steel businessman Andrew Carnegie, according to which the sons that receive a large inheritance from their parents tend to allocate less effort to work.

Proofs of the Poincaré have been announced nearly every year since the conjecture was formulated, by Henri Poincaré, more than a hundred years ago.

For the first time the Gap Conjecture was formulated in the form of a question in 1991 (see [23]).

The gap type conjectures can be formulated for other asymptotic characteristics of groups like return probabilities (P^{(n)}_{e,e}) ((e) denotes the identity element) for a non degenerate random walk on a group, Fölner function (mathcal F (n),) or spectral density (mathcal N (lambda ).) There is a close relation between them and the Gap Conjecture on growth, which was mentioned in [22].

In particular, when N : R → R, y ↦ N ( y ), is a scalar function and D, E T ∈ R n, the above conjecture is exactly a discrete-time version of the original Aizerman conjecture which was formulated first for ordinary differential systems, see [1].

He wants to hear the featured talk, on the Penultimate Conjecture, which was formulated during the Second World War by English cryptographers who broke the German code, Enigma.

There was also the long-standing conjecture of Euler, formulated in 1782, that there cannot exist mutually orthogonal Latin squares of order 4t + 2, for any integer t.

In 1999, De Smet et al. [7] formulated the conjecture on Wintgen inequality for submanifolds of real space forms, which is also known as the DDVV conjecture.

And Smolin, a prolific cosmologist, formulated this conjecture about the multiverse, not our universe.