He also made important contributions in the theory of differential equations, including work on Picard – Vessiot theory, Painlevé transcendents and his introduction of a kind of symmetry group for a linear differential equation, the Picard group.

* Picard modular group

We note that for an arbitrary domain one may define the Picard group Pic ( R ) as the group of invertible fractional ideals Inv ( R ) modulo the subgroup of principal fractional ideals.

As Ollivier moved towards the government standpoint, Picard, one of the members of the group known as Les Cinq, veered more to the left.

( This is a little inaccurate: Deligne did later show that E ∩ E < sup >⊥</ sup > = 0 by using the hard Lefschetz theorem, this requires the Weil conjectures, and the proof of the Weil conjectures really has to use a slightly more complicated argument with E / E ∩ E < sup >⊥</ sup > rather than E .) An argument of Kazhdan and Margulis shows that the image of the monodromy group acting on E, given by the Picard – Lefschetz formula, is Zariski dense in a symplectic group and therefore has the same invariants, which are well known from classical invariant theory.

* Berger Picard, French breed of dog of the herding group of breeds

* Picard group, a mathematical object describing the self-isomorphisms of a ringed space

In particular H < sup > 1 </ sup >( X, G < sub > m </ sub >) is the Picard group Pic ( X ) ( and the first cohomology groups of G < sub > m </ sub > are the same for the étale and Zariski topologies ).

This follows from the previous result, using the fact that the Picard group of a curve is the points of its Jacobian variety, an abelian variety of dimension g, and if n is coprime to the characteristic then the points of order dividing n in an abelian variety of dimension g over an algebraically closed field form a group isomorphic to ( Z / nZ )< sup > 2g </ sup >.

Picard is a language ( or a set of languages ) closely related to French, and as such is one of the larger group of Romance languages.

Linguists group all of these under the name Picard.

It is the connected component of the identity in the Picard group of C, hence an abelian variety.

Furthermore, he showed that it is a quotient of two cohomological invariants, namely the order of the group ( sometimes mistakenly called the Picard group of T, although it doesn't classify G < sub > m </ sub > torsors over T ), and the order of the Tate – Shafarevich group.

Starfleet Admiral Brackett reveals to Picard that a high-ranking Federation person is missing, and it is possible that he has joined a group with political interests inconsistent with the Federation's.

* Picard group

where Pic ( A ) is the Picard group of A, and similarly the reduced K-theory is given by

Picard replies that there is nothing the Enterprise can do as regrettably the Federation Prime Directive prohibits any interference with the natural development of the Boraalan civilization ; it is not for them to decide that one group shall survive while the rest of the planet perishes.

Picard is transported to the planet's surface and finds Soran working on a missile, protected by a shield.

* Picard modular surface

* Star Trek Generations ( 1994 ): Palmdale, although not mentioned by name in the film, was the filming location of the scenes where Captain Jean Luc Picard and Captain James T. Kirk battle with Dr. Tolian Soran on the surface of Veridian III.

Frustrated by their failure at communication, the Tamarian captain, Dathon, has himself and Captain Picard transported to the planet's surface.

On the surface, Dathon utters the metaphorical phrase " Darmok and Jalad at Tanagra " and tosses Picard a dagger.

Picard beams to the planet's surface and is met by Keel and the captains of the other ships.

In the caves on the surface, Picard and Data, now out of costume, fill Pardek and Spock in on the message they intercepted.

Picard wakes up to find himself on the surface of Kataan, a non-Federation planet.

Troi enters the stage, and indicates to Picard that she " feels " a living presence on the surface.

The crystalline life form begins to access higher-level functions of the computer, and Picard and the crew seek ways to remove it to the surface, as the crystal has blocked attempts to transport it down.

Picard peacefully negotiates with the crystal life form to return it to the surface, where Starfleet will abandon the terraforming process and quarantine the planet, leaving the life form to continue to grow in peace.

Picard opts to go to the surface himself along with Dr. Crusher to try to revive Riker, leaving La Forge in charge.

Picard transports to the surface with Worf to visit the Uxbridges, trying to learn more about the situation over tea ; Kevin suggests they were spared because they were pacifists.

When they return to the planet, the ship is nowhere in sight, and Picard again transports to the surface to plead that the Uxbridges leave with him as well as to tell them about Troi's dementia.

Regional identification is most pronounced today in cultures linked to regional languages and non-French-speaking traditions-French language itself being only a dialect of Langue d ' oïl, the mother language of many of the languages to-be-mentioned, which became a national vehicular language, like ( in alphabetical order ): Alsatian, Arpitan, Basque, Brezhoneg ( Breton ), Burgundian, Corsu ( Corsican ), Català ( Catalan ), Francique, Gallo, Lorrain, Norman, Occitan, Picard, Poitevin, Saintongeais, etc., and some of these regions have promoted movements calling for some degree of regional autonomy, and, occasionally, national independence ( see, for example, Breton nationalism, Corsica and Occitania ).

Having gained his law degree, he became a trainee ( 1881 – 1884 ) with Edmond Picard, a renowned criminal lawyer, who also played a pivotal role on the Brussels artistic scene.

Snell's methods were taken up by Jean Picard who in 1669 – 70 surveyed one degree of latitude along the Paris Meridian using a chain of thirteen triangles stretching north from Paris to the clocktower of Sourdon, near Amiens.

At a meeting of the Royal Society on 11 January 1672, Oldenburg, the secretary, read a letter from Paris describing the procedure followed by Jean Picard in measuring a degree, and specifically stating the precise length that he calculated it to be.

The Abel-Jacobi theorem states that the torus thus built is a variety, the classical Jacobian of a curve, that indeed parametrizes the degree 0 line bundles, that is, it can be identified with its Picard variety of degree 0 divisors modulo linear equivalence.

Guided by Maurolycus's methodology and Snellius's mathematics for doing so, Picard achieved this by measuring one degree of latitude along the Paris Meridian using triangulation along thirteen triangles stretching from Paris to the clocktower of Sourdon, near Amiens.

A French astronomer, Abbé Jean Picard, measured the length of a degree of latitude and computed from it the size of the Earth during 1669-1670.

In 1680 Jean Picard, in his Voyage d ’ Uranibourg, stated, as a result of ten years ' observations, that Polaris, or the Pole Star, exhibited variations in its position amounting to 40 ″ annually.

* 1900 – Leo Picard, German-Israeli geologist ( d. 1997 )

* 1856 – Charles Émile Picard, French mathematician ( d. 1941 )

* 1620 – Jean Picard, French astronomer ( d. 1682 )

** Leo Picard, German-born Israeli geologist ( d. 1997 )

* July 21 – Jean Picard, French astronomer ( d. 1682 )

* LeMoine, Bertrand, Guide d ' architecture, France, 20e siecle, Picard, Paris 2000

In 1687, Guayaquil was attacked and looted by English and French pirates under the command of George d ' Hout ( English ) and Picard and Groniet ( Frenchmen ).

In any case, linguistic texts from the time do not mention the language, although they mention others in the langue d ' oïl family, such as Picard and Lorrain.

* the Picard language, a Langue d ' oïl and one of the languages of France

* April 27-Pauline Picard, politician ( d. 2009 )

The geographical spread of Picard and Chtimi among the Langues d ' oïl | Oïl languages ( other than French ) can be seen in shades of green and yellow on this map.

The gap between French which is itself a dialect of langue d ' oïl and the varieties of langues d ' oïl, which today we would call " French dialects ," has continued to widen ; Franc-comtois, Walloon, Picard, Norman, Gallo, Poitevin, Saintongeais, Bourguignon-morvandiau, Lorrain must be accepted among the regional languages of France ; by placing them on the list French regional languages, they will be known from then on as langues d ' oïl.

Picard, like French, is one of the langues d ' oïl and belongs to the Gallo-Roman family of languages.

Picard is phonetically quite different from the central langues d ' oïl, which evolved into the modern French language.

Among the most notable traits, the evolution in Picard towards palatalization is less marked than in the central langues d ' oïl, in which it is particularly striking ; or before, tonic and, as well as in front of tonic and ( the open of the French porte ) in central Old French, but not in Picard:

* Joseph Déchelette, Manuel d ' archéologie préhistorique, celtique et gallo-romaine, éditions Picard, Collection Grands manuels Picard, 2000