krang84 12:35 pm le July 15, 2019

leçons d’informatique

901
Structures de données. Exemples et applications.
903
Exemples d’algorithmes de tri. Correction et complexité.
907
Algorithmique du texte. Exemples et applications.
909
Langages rationnels et automates finis. Exemples et applications.
912
Fonctions récursives primitives et non primitives. Exemples.
913
Machines de Turing. Applications.
914
Décidabilité et indécidabilité. Exemples.
915
Classes de complexité. Exemples.
916
Formules du calcul propositionnel : représentation, formes normales, satisfiabilité. Applications.
918
Systèmes formels de preuve en logique du premier ordre. Exemples.
921
Algorithmes de recherche et structures de données associées.
923
Analyses lexicale et syntaxique. Applications.
924
Théories et modèles en logique du premier ordre. Exemples.
925
Graphes : représentations et algorithmes.
926
Analyse des algorithmes : complexité. Exemples.
927
Exemples de preuve d’algorithme : correction, terminaisons.
928
Problèmes NP-complets : exemples et réductions.
929
Lambda-calcul pur comme modèle de calcul. Exemples.
930
Sémantique des langages de programmation. Exemples.
931
Schémas algorithmiques. Exemples et applications.
932
Fondements des bases de données relationnelles.

krang84 12:34 pm le July 15, 2019

Leçons d’analyse agrégation de mathématiques

201 *
Espaces de fonctions. Exemples et applications.
202 *
Exemples de parties denses et applications.
203
Utilisation de la notion de compacité.
204 *
Connexité. Exemples et applications.
205 *
Espaces complets. Exemples et applications.
207 *
Prolongement de fonctions. Exemples et applications.
208
Espaces vectoriels normés, applications linéaires continues. Exemples.
209 *
Approximation d’une fonction par des polynômes et des polynômes trigonométriques. Exemples et applications.
213 *
Espaces de Hilbert. Bases hilbertiennes. Exemples et applications.
214
Théorème d’inversion locale, théorème des fonctions implicites. Exemples et applications en analyse et en géométrie.
215 *
Applications différentiables définies sur un ouvert de R^n. Exemples et applications.
219
Extremums : existence, caractérisation, recherche. Exemples et applications.
220
Equations différentielles
. Exemples d’étude des solutions en dimension 1 et 2.
221
Équations différentielles linéaires. Systèmes d’équations différentielles linéaires. Exemples et applications.
222 *
Exemples d’équations aux dérivées partielles linéaires.
223
Suites numériques. Convergence, valeurs d’adhérence. Exemples et applications.
224
Exemples de développements asymptotiques de suites et de fonctions.
226
Suites vectorielles et réelles définies par une relation de récurrence u_n
. Exemples. Applications.a la résolution approchée d’ ́equations
228
Continuité et dérivabilité des fonctions réelles d’une variable réelle. Exemples et applications.
229
Fonctions monotones. Fonctions convexes. Exemples et applications.
230
Séries de nombres réels ou complexes. Comportement des restes ou des sommes partielles des séries numériques. Exemples.
233
Analyse numérique matricielle : résolution approchée de systèmes linéaires, recherche de vecteurs propres, exemples.
234 *
Fonctions et espaces de fonctions Lebesgue-intégrables.
235 *
Problèmes d’interversion de limites et d’intégrales.
236
Illustrer par des exemples quelques méthodes de calcul d’intégrales de fonctions d’une ou plusieurs variables.
239
Fonctions définies par une intégrale dépendant d’un paramètre. Exemples et applications.
241 *
Suites et séries de fonctions. Exemples et contre-exemples.
243
Convergence des séries entières, propriétés de la somme. Exemples et applications.
245 *
Fonctions holomorphes sur un ouvert de C. Exemples et applications.
246
Séries de Fourier. Exemples et applications.
250
Transformation de Fourier. Applications.
253 *
Utilisation de la notion de convexité en analyse.
260
Espérance, variance et moments d’une variable aléatoire.
261 *
Loi d’une variable aléatoire : caractérisations, exemples, applications.
262 *
Convergences d’une suite de variables aléatoires. Théorèmes limite. Exemples et applications.
264
Variables aléatoires discrètes. Exemples et applications.
265
Exemples d’études et d’applications de fonctions usuelles et spéciales.

krang84 12:29 pm le July 15, 2019

Leçons algèbres agrégation de mathématiques

101
Groupe opérant sur un ensemble. Exemples et applications.
102 *
Groupe des nombres complexes de module 1. Sous-groupes des racines de l’unité. Applications.
103 *
Exemples de sous-groupes distinguées et de groupes quotients. Applications.
104
Groupes finis. Exemples et applications.
105
Groupe des permutations d’un ensemble fini. Applications.
106
Groupe linéaire d’un espace vectoriel de dimension finie E, sous-groupes de GL(E). Applications.
107 *
Représentations et caractères d’un groupe fini sur un C-espace vectoriel. Exemples.
108
Exemples de parties génératrices d’un groupe. Applications.
110 *
Structure et dualité des groupes abéliens finis. Applications.
120
Anneaux Z/nZ. Applications.
121
Nombres premiers. Applications.
122 *
Anneaux principaux. Applications.
123
Corps finis. Applications.
125 *
Extensions de corps. Exemples et applications.
126
Exemples d’équations en arithmétique.
141
Polynômes irréductibles à une indéterminée. Corps de rupture. Exemples et applications.
142 *
PGCD et PPCM, algorithmes de calcul. Applications.
144 *
Racines d’un polynôme. Fonctions symétriques élémentaires. Exemples et applications.
150 *
Exemples d’actions de groupes sur les espaces de matrices.
151
Dimension d’un espace vectoriel (on se limitera au cas de la dimension finie). Rang. Exemples et applications.
152
Déterminant. Exemples et applications.
153
Polynômes d’endomorphisme en dimension finie. Réduction d’un endomorphisme en dimension finie. Applications.
154 *
Sous-espaces stables par un endomorphisme ou une famille d’endomorphismes d’un espace vectoriel de dimension finie. Applications.
155 *
Endomorphismes diagonalisables en dimension finie.
156
Exponentielle de matrices. Applications.
157
Endomorphismes trigonalisables. Endomorphismes nilpotents.
158 *
Matrices symétriques réelles, matrices hermitiennes.
159
Formes linéaires et dualité en dimension finie. Exemples et applications.
160 *
Endomorphismes remarquables d’un espace vectoriel euclidien (de dimension finie).
161 *
Distances et isométries d’un espace affine euclidien.
162
Systèmes d’équations linéaires ; opérations élémentaires, aspects algorithmiques et conséquences théoriques.
170
Formes quadratiques sur un espace vectoriel de dimension finie. Orthogonalité, isotropie. Applications.
171 *
Formes quadratiques réelles. Coniques. Exemples et applications.
181 *
Barycentres dans un espace affine réel de dimension finie, convexité. Applications.
182
Applications des nombres complexes à la géométrie.
183
Utilisation des groupes en géométrie.
190
Méthodes combinatoires, problèmes de dénombrement.

krang84 1:48 am le July 15, 2019

NBA FREE AGENCY 2019

krang84 2:22 pm le July 14, 2019

krang84 2:06 pm le July 14, 2019

Appli SNKRS RELEASES A VENIR

krang84 1:59 pm le July 14, 2019

FRANK NTILININA

Former Knicks lottery pick Frank Ntilikina will enter his third NBA season, but it looks like Dennis Smith Jr. and Elfrid Payton could be ahead of the 21-year-old in the pecking order.

After signing Julius Randle to fortify their starting five with an offensive hub, the New York Knicks rounded out their roster by signing rotational players in the rest of their available spots.

So far, everyone has been distracted by the fact that the Knicks missed out on signing any of the big free agents available this summer. While the front office wants people to believe that they traded their first homegrown All-Star in decades for cap space they wanted to use on middling players, it doesn’t change the rest of the league’s perception of the Knicks.

And the optics of the current roster suggest that Frank Ntilikina isn’t part of the Knicks’ plans for the future.

Ntilikina’s been off to a rough start since he was drafted by Phil Jackson. He airballed in that first game, and his career has mostly been a disaster ever since. In his first two seasons the depth in the backcourt allotted him little playing time but not for reasons of pure cruelty: his past rivals have all played superior basketball, and this year’s bunch is no different.

Dennis Smith Jr. is returning, and will most likely retain the title of starting point guard. There’s no surprises with that move, but the addition of Elfrid Payton, a five-year veteran who spent time in Orlando with current Knicks general manager Scott Perry, is telling. Plus, it’s been reported that he’ll be competing for the starting job, which could already earmark Ntilikina for a cobwebbed seat on the bench.

Payton suffers woes on offense similar to those of Ntilikina: neither are even passable perimeter shooters, but at least Payton shoots above 50% at the rim. Payton’s 29.8 minutes per game average and Ntilikina’s injury troubles allowed the veteran to take 130 more field goal attempts than Ntilikina last season—but even the normalized per 36 numbers are gruesome. Ntilikina averaged 9.8 points, 4.8 assists, and 3.5 rebounds per 36 minutes last season. Payton averaged 12.8 points, 9.2 assists, and 6.3 rebounds for New Orleans.

Neither player has great statistics, but that’s not the point. Payton doesn’t have to be an exceptional player, he just needs to be better than Ntilikina—and, frankly, that doesn’t appear to be too difficult for the journeyman.

Maybe Ntilikina’s time as a point guard is over, and he’s meant to be a multi-positional defensive stopper instead. His percentage of minutes at shooting guard increased from 29% to 33% over the last two seasons. It wouldn’t be surprising if the Knicks decided to place the 6-6 player with a seven-feet wingspan as a swingman in the depth chart.

However, he faces the same issue depth issue—everyone there is better than him. The main problem is that everyone above Ntilikina has an identity as a player; the one skill he boasted in his rookie year, defense, didn’t show in his second season. That left the door wide open for Emmanuel Mudiay, whose only real value was not being Frank Ntilikina. New additions Wayne Ellington and Marcus Morris are seasoned players who may make cracking the rotation even more difficult.

Bullock and Ellington shot 37.7% and 37.1% from three respectively last season. If the Knicks want to compete and at least look like a respectable NBA team this year, they’ll utilize the competent shooters they desperately needed the last few seasons.

Developing Frank as an off-ball player hasn’t borne fruit either. He actually shot demonstrably worse from three in his sophomore season.

It’s David Fizdale’s team, and in this era stretching your offense past the three-point line is crucial—especially if inside threats like Randle and Mitchell Robinson are on the floor. The second-year coach didn’t reward bad play with extra playing time in his first season, it’s doubtful he’d adopt the inverse of his “keep what you kill” comment, even if it is for the sake of developing the former eighth-overall pick.

Besides, there’s a new project player in town, and his name is R.J. Barrett. If his first game in Summer League is any indication of how he’ll fare in the NBA, he’ll need a lot of work.

Fizdale has earned the title of fixer-upper for his handling of Emmanuel Mudiay. He did a lot to rehabilitate Mudiay’s career, which was in peril last season. Mudiay’s still no phenom, but he’s earned himself a roster spot on a strong playoff contender in the Utah Jazz.

Similarly, Ntilikina is on the verge of being out the door on the eve of his third NBA season. It would be ironic if Fizdale became his biggest supporter after completely ignoring him a season ago.

Even the best case scenario doesn’t spell a bright future for Ntilikina. In all likelihood he’ll go down in history as a lottery pick burnt for nothing in the Phil Jackson era. Fans may remain hopeful on Frank Island, however, comparing him to a young Jimmy Butler and Giannis Antetokounmpo. Although it’s true both didn’t find real traction in the league until their third season, they had natural physicality and aggressiveness, and both made very obvious progressions.

It seems like the Ntilikina era may be over in New York. Accompanied by whispers of the Knicks probing for trade partners on draft night, things look bleak for the third-year point guard (or wing, or whatever he is).

Sadly, the Knicks’ core seems content without him. With roles carved out and growing for Kevin Knox, Robinson, and even older prospects Allonzo Trier and Damyean Dotson, Frank is obviously the odd man out. Whatever position you choose for him, point guard, shooting guard, or small forward, they all can play the role better than he can, albeit differently. If he cements himself as a true stopper on defense and a adequate scorer, Ntilikina can earn himself a qualifying offer instead of being renounced, because the cap space of his potential $6 million salary in the 2020–21 season may be worth more than what he produces on the court.