Sentence examples for formally real from inspiring English sources

We study Bessel functions on the symmetric cone associated with a special formally real Jordan algebra.

Let D=G/K be a complex bounded symmetric domain of tube type in a complex Jordan algebra V and let DR=J∩D⊂D be its real form in a formally real Euclidean Jordan algebra J⊂V; DR=H/L is a bounded realization of the symmetric cone in J.

Here, people know the grammar of feelings, they know how to act on camera and how to emote formally, while real feelings, which are of course messy and complicated, are hidden".

"All that remains now is for Spurs to formally accept Real Madrid's offer and to agree on simultaneous announcements".

Now, in an unlikely coda 30 years later, fake history was formally enshrined as real history on Tuesday when officials of Germany's Federal Archives said they would accept a collection of the forgeries from Stern as news media rather than Nazi history.

Let G be a Lie group with a fixed left invariant Haar measure and Λ be a right or left invariant, real, formally negative, elliptic differential operator of second order and without constant term.

We observe that, formally, when the real part of the variable Ω is a negative quantity, that is R e < 0, the introduced functions H and f have the following limits for quite long time intervals: lim t → ∞ H Ω, D, t = - 1 2 D Ω, when Re Ω < 0 ; (33) lim t → ∞ f Ω, t = - 1 2 Ω 2, when Re Ω < 0. (34).

Here, we analyze these methods formally and on real data, highlight their limitations and propose improvements.

Although the quality of the controlled cord traction technique was not formally evaluated, a real difference in the management of placental expulsion between the two groups is likely, given the emphasis on the initial training.

The cognitive process is formally described using real-time process algebra (RTPA) and concept algebra.

Despite today's primary in Mississippi, the real battle formally engaged on the grounds of Pennsylvania, the last big delegate-mine for the Democratic candidates.