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      "body": "**Les catégories de permis en France**\n![](https://steemitimages.com/DQmdZo66xYDgTe5gwyEThs3NG86zh3DpAgLFmZXB6zsF7Vt/image.png)\n\nPTAC et nombre places assises sont indiqués sur la carte grise.\n\n*Permis B:*\n>Titulaire de l'assr2 ou asr attestation scolaire de sécurité routière de niveau 2\n>S’obtient à 18 ans\n>Véhicules automobile légers affectés au transport de marchandise ou de personnes pas plus 8 destinées aux passagers\n>Quadricycles lourds\n>Permet véhicules catégorie B (poids total autorisé en charge= PTAC 3500kg), sous catégories B1 et A1\n>Véhicule catégorie B + remorque PTC inférieur ou égale à 750 kg\n>Exigé pour passer les permis C D et E\n>Permis B + 2 ans + 7h de formation: A1 motocyclette+ L5e véhicule à trois roues symétriques équipé d'un moteur supérieur à 50 cm^3 à combustion interne avec vitesse max supérieur à 45km/h\n\n\n*Permis B1:*\n>S’obtient à 16 ans\n>Tricycles et quadricycles poids à vide et inférieur ou égale à 550kg et la puissance limité à 15kW\n\n*Permis A1:*\n>S’obtient à 16ans\n>Motocyclettes dont la cylindrée n'excède pas 125cm^3 et dont la puissance est limitée à 11kW=15CV\n>Permet de conduire véhicule catégorie B1\n\n*Permis A :*\n\n1/ A accès progressif :\n>S’obtient à 18 ans\n>Motocyclette puissance inférieur ou égale à 25kW=34 CV\n>Permet véhicule catégorie A1 et B1\n>Deux ans le permis A accès progressif dont le permis A\n\n2/ A direct :\n>S’obtient à 21 ans\n>Motocyclette puissance inférieur ou égale à 73,6 kW=100 CV\n\n*Permis C:*\n>Transport et marchandise PTAC supérieur à 3500 kg\n\n*Permis D:*\n>Transport de personnes + de 8 places\n\n*Permis E:*\n>E-B: Véhicule de catégorie B + remorque PTAC supérieur à 750 kg ou dépasse le poids à vide du véhicule tracteur ou si la somme de PTAC du véhicule et remorque dépasse 3500kg\n>E-C: Véhicule de catégorie C+ remorque PTAC supérieur à 750kg\n>E-D: Véhicule de catégorie D + remorque PTAC supérieur à 750 kg",
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      "body": "@@ -1089,17 +1089,16 @@\n u %C3%A9toile\n-s\n )  sont \n",
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      "body": "La  mesure d’une longueur dans un espace plan (plat) est connue.\n\nLorsque l’espace est courbé **la mesure de la longueur** ce fait à l’aide du tenseur métrique ![](https://steemitimages.com/DQmbWFLKkpvrpGHsroaZFAedsBB3jPf3148NApe8tSxJeck/image.png). Le tenseur métrique est un tenseur de rang (d’ordre) 2. Il permet de définir le produit scalaire de deux vecteurs en chaque point d’un espace, permettant la mesure de longueur et d’angle. Il généralise le théorème de Pythagore dans n’importe quel espace (déformé ou pas).\n\n 1/ La courbure de l’espace est mesuré par :  ![](https://steemitimages.com/DQmasqg18NRM8kYfDEfqa4onh1JT649M2nU2xsUtgggxRJi/image.png)\n\n  ![](https://steemitimages.com/DQmU56uEXs3yEXzBiSB4QFpFRsoxoMXKEbPTJvi8bjfnU2Q/image.png)est *le tenseur de Ricci*. C’est un tenseur d’ordre 2, c’est le Laplacien du tenseur métrique Riemannien. Exprime **la déformation**.\n ![](https://steemitimages.com/DQmXBrhBNPvT3vXHZaFoqA7aGUaxBH1kjAvCezEd2cTaWMM/image.png)*la courbure scalaire* décrit **la courbure**. \nLes corps déforment l’espace et la courbe. \n\n2/ Les corps (planète ou étoiles)  sont représentés par :  ![](https://steemitimages.com/DQmS94TGzgGkh5PRN8c8jYkPdMos5WJUReV1jWiFFYUMJ8T/image.png)\n\n ![](https://steemitimages.com/DQmSHAsiSKuVrhU81ZUpxLYiJubGVWKC6kixZDrXtR3GNvZ/image.png)est le tenseur énergie-impulsion qui représente **la répartition de la masse et de l’énergie dans l’espace-temps.** Il existe en effet une équivalence entre **énergie et masse et ces dernières courbent l’espace.** (C’est un quadri-moment = quantité de mouvement selon quatre directions (trois espace et un temps)).\n\n3/  Ainsi ![](https://steemitimages.com/DQmPj8feK39vATX2PueicShMqjYbD9JBoX49dK7wvpP5pyA/image.png)  = ![](https://steemitimages.com/DQmS94TGzgGkh5PRN8c8jYkPdMos5WJUReV1jWiFFYUMJ8T/image.png)\n\n\n************** \n_____________![tumblr_o5ee0gLt591s5nl47o1_500.gif](https://steemitimages.com/DQmcre4wuzCDuejJudDAXKtLK8Hvwg41xHhZwpA97jsruSH/tumblr_o5ee0gLt591s5nl47o1_500.gif)_____________\n**************\n\n_____________![tumblr_o5e96mfo7E1s5nl47o1_500.gif](https://steemitimages.com/DQmcz8XENaMAEj4cdCAyMPyrxSBc1gpPjH9xfcrJvS8zv1F/tumblr_o5e96mfo7E1s5nl47o1_500.gif)_____________",
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      "body": "Congratulations @razakawsar! You have completed some achievement on Steemit and have been rewarded with new badge(s) :\n\n[![](https://steemitimages.com/70x80/http://steemitboard.com/notifications/firstcomment.png)](http://steemitboard.com/@razakawsar) You made your First Comment\n[![](https://steemitimages.com/70x80/http://steemitboard.com/notifications/firstvoted.png)](http://steemitboard.com/@razakawsar) You got a First Vote\n\nClick on any badge to view your own Board of Honor on SteemitBoard.\nFor more information about SteemitBoard, click [here](https://steemit.com/@steemitboard)\n\nIf you no longer want to receive notifications, reply to this comment with the word `STOP`\n\n> By upvoting this notification, you can help all Steemit users. Learn how [here](https://steemit.com/steemitboard/@steemitboard/http-i-cubeupload-com-7ciqeo-png)!",
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      "body": "if you want to know which coin is PoS (La preuve d'enjeu ou preuve de participation ou Proof-of-stake ) and  which one is PoW( preuve de travail ou proof-of-work) check this website: \nhttps://www.cryptocompare.com/coins/#/btc",
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      "body": "Les catégories de permis en France\n\n\tPTAC et nombre places assises sont indiqués sur la carte grise.\n\nPermis B:\n\tTitulaire de l'assr2 ou asr attestation scolaire de sécurité routière de niveau 2\n\tS’obtient à 18 ans\n\tVéhicules automobile légers affectés au transport de marchandise ou de personnes pas plus 8 destinées aux passagers\n\tQuadricycles lourds\n\tPermet véhicules catégorie B (poids total autorisé en charge= PTAC 3500kg), sous catégories B1 et A1\n\tVéhicule catégorie B + remorque PTC inférieur ou égale à 750 kg\n\tExigé pour passer les permis C D et E\n\tPermis B + 2 ans + 7h de formation: A1 motocyclette+ L5e véhicule à trois roues symétriques équipé d'un moteur supérieur à 50 cm^3 à combustion interne avec vitesse max supérieur à 45km/h\n\n\nPermis B1:\n\n\tS’obtient à 16 ans\n\tTricycles et quadricycles poids à vide et inférieur ou égale à 550kg et la puissance limité à 15kW\n\nPermis A1:\n\n\tS’obtient à 16ans\n\tMotocyclettes dont la cylindrée n'excède pas 125cm^3 et dont la puissance est limitée à 11kW=15CV\n\tPermet de conduire véhicule catégorie B1\n\nPermis A :\n\nA accès progressif :\n\tS’obtient à 18 ans\n\tMotocyclette puissance inférieur ou égale à 25kW=34 CV\n\tPermet véhicule catégorie A1 et B1\n\tDeux ans le permis A accès progressif dont le permis A\n\nA direct :\n\tS’obtient à 21 ans\n\tMotocyclette puissance inférieur ou égale à 73,6 kW=100 CV\n\nPermis C:\n\n\tTransport et marchandise PTAC supérieur à 3500 kg\n\nPermis D:\n\n\tTransport de personnes + de 8 places\n\nPermis E:\n\n\tE-B: Véhicule de catégorie B + remorque PTAC supérieur à 750 kg ou dépasse le poids à vide du véhicule tracteur ou si la somme de PTAC du véhicule et remorque dépasse 3500kg\n\n\tE-C: Véhicule de catégorie C+ remorque PTAC supérieur à 750kg\n\n\tE-D: Véhicule de catégorie D + remorque PTAC supérieur à 750 kg",
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      "body": "Ichimoku kinko hyo\nIchimoku \"d'un coup d’œil\", Kinko \"équilibre\" et Hyo \"courbe\"\n\n\n\nTable des matières\nI.\tRéglage\t2\nII. Tenken Sen\t2\nIII. Kijun\t3\nKijun résistance\t3\nKijun support\t3\nKinjun Range\t4\nKijun aimant\t5\nIV. Chikou Span\t6\nV. Kumo\t6\nKumo range\t6\nKumo Twist\t7\nSSA et SSB support et résistance\t8\nSSB résistance\t8\nSSB Support\t9\n\nI.\tRéglage \nLes réglages sont : 9, 26,52\n- 9 représentant à l'époque une semaine et demi de trading\n- 26 le nombre de jours de trading sur un mois (retirant les dimanches) \n- 52 deux mois de trading\n![](https://steemitimages.com/DQmSiysw1tF9yyhb4HnvME7HDY4Xws9fWrC1oGVA7nba8BU/image.png)\n\n\nII. Tenken Sen\n\n- Tenkan Sen (ligne rouge) \n ![](https://steemitimages.com/DQmRTAuZaivGECi8zebEa7UZJGu1mg1tV7gKXxLti3RKkrN/image.png)\nMoyenne du plus haut et du plus bas des 9 dernières périodes (chandeliers) somme du point le plus haut au point le plus bas et on divise par 2. \nPlus l'angle de Tenkan (son inclinaison) est important plus la tendance est forte. \nLorsqu'elle est flat (plate), cela indique simplement que lors des neuf dernières périodes, les prix n'ont pas fait de nouveau plus haut ou plus bas. Ces plats tenkan (paliers) sont alors utilisés comme des niveaux de support ou résistance.\n \nToutes anciennes plate Tenkan visible sur le graphique sont des niveaux de support et de résistance. Et tous plat de la tenkan sen sur des temps supérieur son des supports et résistance plus fort. Par gradient plus c’est ancien et sur des temps supérieur plus le support résistant est fort.  \n\nLe croisement de kijun par tenkan est  considéré comme signal d'achat ou de vente. Même en range si les prix sont trop éloigné de la tenken sen ne pas entrer en position. \n\nLe croisement haussier au-dessus du nuage est un signal d'achat fort, dans le nuage un signal moyen et sous le nuage un signal faible. \n\nLa tenkan sen doit suivre le prix sinon. Lorsque les prix s'éloignent trop vite de la tenkan sen, cela représente une situation de déséquilibre pouvant être assimilée à du \"surachat\" ou de la \"survente\". Et les prix reviennent coller à la tenken sen.\n\n\nIII. Kijun\n\n- Kijun Sen (ligne bleu)\nLes résistances et support de la kijun sen sont beaucoup plus solides et plus fiable que la tenken sen. \n\nKijun résistance \nLa moyenne du plus haut et du plus bas des 26 dernières périodes observées. Les paliers constituent  niveaux de support ou de résistance. \nEn tendance baissière les plates kijun sont des niveaux de résistance. Tant que les prix ne parviennent pas à casser kijun, la tendance reste intacte. A la cassure de kijun par les prix en bas du graphique (chandelier encadré de jaune vif) la tendance sera remise en question\nUn kijun plat représente 50% du Fibonaci et le marché tend vers 50% de Fibo C’est le support d’équilibre.  \n\n![](https://steemitimages.com/DQmb8N6PrXttre9kjqZ92vA1fsRLvuXJ9dPn5Tj6qsaFfLQ/image.png)\n\nKijun support\n![](https://steemitimages.com/DQmSuxs94aWYYGnjr7ShdyBKdxAYtuXErvH2pD61gDStSen/image.png)\nRester en position jusqu’à cassure des supports (rouge)\nEntrer en position \nPyramider pour accumuler et remonter les stops\nEnseigne sur la force de la tendance. Plus son angle est important (son inclinaison) plus la tendance est marquée\nUne Kijun flat (plate) indique une pause dans la tendance. \n\nKinjun Range\n\nEn cas de range kinjun perd de sa pertinence en tant que support ou résistance. \n![](https://steemitimages.com/DQmWMoxMgxKwAs6ttBicackRAwCnFDTs8sPZKgGX7RqdkvN/image.png)\nKijun aimant \n\nLorsque les prix s’éloignent de kijun et que cette dernière reste plate, elle devient un aimant et attire les prix vers elle. \n![](https://steemitimages.com/DQmcMowXqJhdy24FsTS9F6Frkg7nDV3wkNwiN25WPq46Wit/image.png)\nAncienne kijun plate constitue un support ou une résistance \n![](https://steemitimages.com/DQmT9aSu3PSaVwgQMyS9mjzNBkyxR5yNmAo773GRgH7dZcv/image.png)\n\nIV. Chikou Span\n\n- Chikou span (ligne noire sur le graphique) \t\nEst le filtre. Reflet des prix en clôture décalé de 26 périodes en arrière. Tout fait obstacle à chikou. Lors d’un signal des prix il faut s’assurer que chikou n’est pas confrontée à un obstacle jouant un rôle de support ou de résistance, les chandeliers, ligne de d’ichimoku, droite de tendance, tout. \n\nV. Kumo \n\n- Senkou span A et Senkou span B \n\nSSA et SSB indiquent des niveaux de supports et résistances. Indication des phases de tendance ou en range. \n\nNuage en dessous des bougies = hausse \nNuage au-dessus des bougies = baisse \n\nKumo range \n![](https://steemitimages.com/DQmTio64cHR4FKeiA2rwLkHbwP5FdESLHsMjLpAEFiQWR6x/image.png)\nNuage plat, et SSB représente l’équilibre du range, ne joue pas de rôle de résistance ou de support aux prix ni au chikou span.\n\nKumo Twist\nLe twiste après une tendance indique l’entré en range. \nCroissement de la SSB et SSA. Intervient après une phase de tendane indique l’affaiblissement de cette dernière. \nEn range le twist est l’incapacité des prix à réaliser de nouveau plus bas ou plus haut. \nAprès une période de tendance le kumo twist les prix entre en range. \n![](https://steemitimages.com/DQmeksdRdoQAoNWimEd4UiSwnYohVDoZvCuQULctZyLFLGR/image.png)\n\n\n- Senkou span A ligne orange formant le nuage \nMoyenne de tenkan et kijun projetée 26 périodes en avant \n- Senkou span B ligne bleu formant le nuage\n![](https://steemitimages.com/DQmWczJCfdWnanWXQV8fu3Mk72o9ZFbJmdUDS3v3Qv7Lcac/image.png)\nMoyenne de plus haut et plus bas de 52 dernières périodes projetées 26 périodes en avant\n\nSSA et SSB support et résistance\n![](https://steemitimages.com/DQmQLSZ31WgkLoE5mp1wXNwSFpQFR8TQzVa5nkPf51Xs7iX/image.png)\nToute ancienne ligne plate jour un rôle de S/R\nPlus SSB est plat et longue plus elles seront difficiles à casser plus ont les croissent dans un temps futur plus elles seront solides \n\nSSB résistance \nRésistance pour les prix et pour chikou. \nLes plats de la SSB permet de fixer des objectifs, des cibles. \n![](https://steemitimages.com/DQmeCPHRFkehERZzAMY5FBmHYRX4WzduCwzya3BsN2eQBs2/image.png)\n\nSSB Support\n![](https://steemitimages.com/DQmbgefYNgcauPAKQLLPNgEv7eHjSKAsUibE6dbUe6Z6xXb/image.png)\nTwist informe probablement un range\n\nGradient de support résistant :Chikou span doit être en dehors de tout obstacle >SSB > Kijun > Tenken",
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      "author": "razakawsar",
      "body": "Les configurations chartistes\n\n\nTable des matières\nI.\tLa tendance et ligne de résistance/support\t2\nII.\tFigure de consolidation\t2\nA.\tFigures de retournement\t3\n1.\tRounding\t3\n2.\tDouble top\t3\n3.\tDouble bottom\t4\n4.\tBiseau\t4\n5.\tDiamant\t5\n6.\tEpaule tête épaule\t5\n7.\tChandelier japonais\t5\nB.\tFigure de continuation\t6\n1.\tLe canal Rectangle : Range\t6\n2.\tTriangle\t6\n3.\tFanions\t7\n4.\tDrapeaux\t8\nC.\tFigure d’hésitation\t8\n1.\tLes dojis\t8\n2.\tEn croix\t8\n3.\tPorteur d’eau\t8\n4.\tCroix inversée\t8\n5.\tPierre tombale\t8\n6.\tDragon\t8\n7.\tSans mèche\t8\n\n******************\nI.\tLa tendance  et ligne de résistance/support \n******************\n\n![](https://steemitimages.com/DQmQZAZmdMF2XsZ4LvvG8FRvFmN5ETm35J4Rhurw4qjgUXz/image.png)\n![](https://steemitimages.com/DQmfQsp1be7JDUmXnCp3KJCVJW8qRxbQ4pcnsz7rQGeztuK/image.png)\n  \nLes lignes de tendances sont obliques ! \nSeulement si deux creux forment la ligne de tendance, à partir du troisième rebond cette ligne devient active.\nR/S sont horizontaux. Changement de polarité lorsque R devient S, le pull back vient confirmer le changement de polarité \n   ![](https://steemitimages.com/DQmRXvv8PLEMbW9LdXnH9V7MpinV1JpjPsdR3dH7rUm5cn6/image.png)\n   ![](https://steemitimages.com/DQmP7YTGFoeFL1ehd63ZerrBKk7Y8CnUBFXG9VXrTT8jQBS/image.png)\n![](https://steemitimages.com/DQmZTKerG4aecV7ouXNFqofmhoyRk7pXkkCQYYup9aQ3XDV/image.png)\n![](https://steemitimages.com/DQmf13eYj4A9QfA8ssxvco9t2ptaKLkciEWH1paB86KMgbs/image.png)\n![](https://steemitimages.com/DQmeyjPXSCWqv4xPa1RkEcLy1xqBejzMtRmiVh1XD3Kbhfu/image.png)\n![](https://steemitimages.com/DQmTF1vAt88J67yrSgJhLYQG3nZcHdyuHzyQbm4KQ2fPygp/image.png)\n\n**********\nII.\tFigure de consolidation\n**********\nA.\tFigures de retournement \n\n1.\tRounding\n ![](https://steemitimages.com/DQmUbmivNSEY94m97Q6kshK59ME2uWgUaEYjv1H2ytqs4Dd/image.png)\n\n2.\tDouble top\n![](https://steemitimages.com/DQmZF4edJMdykNvSYrMYRpz6bfQ1pqA8bUHUPQYyzoxG3cU/image.png)\n![](https://steemitimages.com/DQmV659DhQgn2dmmu7cLYRbG3GmyNdKQ4wdMw3ABaM3y5Fq/image.png)\n![](https://steemitimages.com/DQmR5Lb8WAGocL33Yp6c6qdSRbkR6wYzxb8Fxn1KyEAHPWZ/image.png)\n![](https://steemitimages.com/DQmRcoo46kfKdvJA6x4xBK9uxLaeXsuYuQteZwC4t4q64xq/image.png)\n\n3.\tDouble bottom\n ![](https://steemitimages.com/DQmdQxLEPEG7WBjpr7JkfMcfQ8ohRfYetUcMQVgqLUSNkr9/image.png)\n\n4.\tBiseau\n ![](https://steemitimages.com/DQmc6jMpzsU2GPknh3zWUto9jH7xUUxK8vRRCr28tFK5bph/image.png)\nBiseau ascendant à des implications baissières \n ![](https://steemitimages.com/DQmThUqUpjVgyurWVFGyAyxuvyUw7Jm2rD19dCJz848ms7z/image.png)\nLe biseau descendant à des implications ascendant\n\n5.\tDiamant\n![](https://steemitimages.com/DQmdCbZZk3idegV1Ffz5tAwKcXDjfoz1wJG76NQ42zFUKjJ/image.png)\n![](https://steemitimages.com/DQmYUsphxMeVbh73gjW5PK4iqQksdhLpmRhWWzXyRRRSSNx/image.png)\n\n6.\tÉpaule tête épaule \n![](https://steemitimages.com/DQmSKLQV2Pvuu8eztzhgVyuuPgAKRvwb1kEQZARrKjWXn48/image.png)\n  ![](https://steemitimages.com/DQmXJaGzwNzeHXj5yv6vmD8srR3W4dysMWFP84uuZGCGFVs/image.png)\nSeulement deux creux pas plus alors ETE \n\n7.\tChandelier japonais\n\nSommet \nEtoile filante \nPendu\nCreux\nMarteau \nMarteau inversée \n\nB.\tFigure de continuation\n1.\tLe canal Rectangle : Range\n\n   ![](https://steemitimages.com/DQmQbUQhq64KeLGW7SiLtCwXEmquww92rEvF3t5qzzReHfK/image.png)\n  ![](https://steemitimages.com/DQmQCH5jXrdfMZsL2hBJgY8jZP2rs4ixc8HP8MnigvQ1RoR/image.png)\n   ![](https://steemitimages.com/DQmdhwUriC75CN8MjvATbVqEbyExWFSWuqYTRWC27qaHHxu/image.png)\n![](https://steemitimages.com/DQmRuF86TkDNxTnZbHDwXA2WzYaupfo7QQRfjiXXJKL1tba/image.png)\n![](https://steemitimages.com/DQmaRZgTP8UE9yMS2L9mPGQaDjexnF1RxzDBJZT1oZyJv9M/image.png)\n ![](https://steemitimages.com/DQmNWqLu2oEoSo59fBYnBSnc2M47uwKgtZCf5qJwsZwv3wo/image.png)\n![](https://steemitimages.com/DQmVWBrfZMpNSZh9aPcVNz5HwQn6VgYCnsZ6sjLkheRicGQ/image.png)\n![](https://steemitimages.com/DQmfFVSTBxmJaKyjXiaf4u4pt7PF7e5b6we65jUmpYNwRuU/image.png)\n![](https://steemitimages.com/DQmNRZQ9Z3iH7vGGEghpE2cgNCcitGMvo97YvFL3N7Hvdqz/image.png)\n\n2.\tTriangle\n\nTriangle symétrique, Triangle à angle droit, Triangle ouvert \n    ![](https://steemitimages.com/DQmWFZ249sRTQ5f6Lz4hEZ9id1EJJeV4nDS7in5MbzKogSF/image.png)\n![](https://steemitimages.com/DQmcWbarADBBCxEStoAesJTHjLZ5ASRWMJ2yhsrurxYgeYN/image.png)\n![](https://steemitimages.com/DQmdAGbcFp67mBciQb53WtXMpu3LmiaSQ4SbNFLKbj8GPGq/image.png)\n![](https://steemitimages.com/DQmetHgyjBA9szc4VZmASijKbQUxhKypJ7NgshWwWuTmEfa/image.png)\nPas forcément de continuation, s’aider du volume d’échange s’il sort alors le volume d’échange dois augmenter et confirmer la cassure \n\n3.\tFanions\n\nTriangle contracté \n ![](https://steemitimages.com/DQmc1HjWUZSAP5kpQS3NFcVvJBd5THhoATT2TzZWmgKMnBp/image.png)\n\n4.\tDrapeaux\n ![](https://steemitimages.com/DQmatq8v3cvUdGtaz4X1V86gvMWMUNzxvJDbBWKCNuoEJUf/image.png)Drapeau ascendant \n![](https://steemitimages.com/DQmRqALYxvHvS58P8Mf9gs4yxHKuSAmfAHLZicryJsWRTst/image.png)Drapeau descendant\nFigure de court terme de pause et de reprise de la tendance. \n\nC.\tFigure d’hésitation \n\n1.\tLes dojis \n2.\tEn croix \n3.\tPorteur d’eau\n4.\tCroix inversée\n5.\tPierre tombale \n6.\tDragon\n7.\tSans mèche \n\n\nJe regroupe ici les figures chartistes les plus remarquables.\n\nArticle :\nhttps://www.abcbourse.com/apprendre/\nhttp://www.investir-en-actions.com/11-figures-chartistes-a-connaitre-pour-mieux-investir-en-bourse/\nhttps://www.centralcharts.com/fr/guides-et-fiches-educatives/guide-analyse-technique/figures-chartistes\nhttp://www.professeurforex.com/formation-forex/lecon-9-figures-graphiques-forex/",
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{
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      "body": "*******************************************\n                                               Tenseur\n*******************************************\n ![](https://steemitimages.com/DQmbXNUz4RrXUAMc2q5aoMc6tjTsLSvWRwUiAKwafahLjz7/image.png)\nLes tenseurs sont des objets mathématiques qui se transforment d'une manière particulière lorsque les vecteurs de base changent\n![](https://steemitimages.com/DQmXzGEXYfuJiSJkD1NkFxbAGCStoTUQabqu661SiBTVnXV/image.png)\n![](https://steemitimages.com/DQmeoGujNR9Wixd44nFfyC5s5taLG9vLKHWYf7GZNZ1B9dL/image.png)\nUn tenseur de rang 1 est un vecteur.\n\nChoisissons de nouveaux vecteurs de base.\n ![](https://steemitimages.com/DQmdqr63ht48zRTG1nb2mJK7qaKFfD9Deixw5DSxXE9gczo/image.png)\nNous décrivons généralement un vecteur par combien de chacun des vecteurs de base nous devons ajouter pour construire le vecteur.  Les coordonnées du vecteurs sont (4,2,6).\n\n![](https://steemitimages.com/DQmSkXsBDsqU55fDHRFwx3bzWXkNDEXyN8kUMWs7QPHStcL/image.png)\nMais il y a aussi une autre façon de repérer ce vecteur. En prenant le produit scalaire du vecteur avec chacun des vecteurs de base. \n\n***************\nContravariant \n***************\nDécrivons le vecteurs par ces coordonnées\n![](https://steemitimages.com/DQmdqr63ht48zRTG1nb2mJK7qaKFfD9Deixw5DSxXE9gczo/image.png)\nIci, le vecteur a les composantes 4, 2 et 6.\nSupposons que nous doublons la longueur de chacun des vecteurs de base\n![](https://steemitimages.com/DQmZHsE9FMLKG3L3tdxFJPcgfBtWLrEGk5GSDCNi1x4xjgL/image.png)\nLes composants de ce vecteur sont maintenant 2,1 et 3, ce qui signifie que les composants ont diminués. \nQuand nous avons augmenté les longueurs des vecteurs de base, les composants de notre vecteur ont diminués. \nSi nous diminuons les longueurs des vecteurs de base, les composantes de notre vecteur augmentent.\nCes deux quantités changent à l'inverse l'une de l'autre, ce sont les composantes contravariants du vecteur.\nDécrire un vecteur en termes de composantes contravariants est la façon dont nous décrivons habituellement un vecteur.\n\n************\nCovariant\n************\n\nSupposons que nous décrivons plutôt le vecteur en termes de son produit scalaire avec chacun des vecteurs de base.\nSi les vecteurs de base sont de longueur 1, alors le résultat de ces produits scalaires sera ces trois longueurs.\n![](https://steemitimages.com/DQme45BzdpD95A1EenD3Qk5ryM6V3bge6BLroB2p6YpCDRq/image.png)\nSi nous doublons la longueur d'un vecteur de base, alors son produit scalaire associé doublera également\nLorsque nous augmentons la longueur des vecteurs de base, les produits scalaires augmentent également \n ![](https://steemitimages.com/DQmPjRRwYxbUffWad4BnjxabXw5ktH662E91SEuEFhC3iin/image.png)\nLorsque nous diminuons les longueurs des vecteurs de base, les produits scalaires diminuent également\n![](https://steemitimages.com/DQmNy8XWMPS8kCHqAikmZXqGhDTqajvTH82PaAmE9YfKTzZ/image.png)\nCes deux quantités varient de la même manière, ce sont les composantes covariants du vecteur. \n*******************\nIndice et exposant\n*******************\nPour distinguer la variable covariant de la variable contravariant, nous utilisons les exposants et les indices \ncovariants\n ![](https://steemitimages.com/DQmWvMpCfxWzteLGjEXN6QKDGfqusH3DT8FeS5ekd9vvczX/image.png)\nContravariants\n ![](https://steemitimages.com/DQmbEwxfzwHsEgxni7V8oftxhhKFfgnxET766gujSb8Mx7X/image.png)\n\n**********************\nProduit contravariant \n**********************\nSupposons que nous avons deux vecteurs différents.\nAppelons le premier vecteur V et le deuxième vecteur P, et continuons toujours à utiliser ces noms, même si les vecteurs de base changent\n ![](https://steemitimages.com/DQmREmnvCD7EZ2VYpMaDqRSAC6x3gcPJSxDM4XSgWc8AYMg/image.png)\nSupposons que l'on multiplie l'un des composants contra variant de V par l'un des composants contravariants de P\n\nSi nous considérons toutes les manières possibles de le faire, nous obtiendrions une matrice\n![](https://steemitimages.com/DQmSM2EQhBkP8MejjY6WDRYSrVgiBDehfM9dWmpUgEVbcwd/image.png)\nCeci est un exemple d'un tenseur de rang 2 avec deux valeurs exposants contravariants\n ![](https://steemitimages.com/DQmai6b3HL3JHQcBfr3pGuhCBksVizVu1Aoamx738pEpwgR/image.png)\n***********************************\nProduit covariant et contravariant \n***********************************\nSupposons que nous multiplions les composants covariants de V avec des composants de contravariant de P \n ![](https://steemitimages.com/DQmdHUJhhHi3kt3nfMqMxqXJrZNYnYtJXNBiMTfhT4GkDp7/image.png)\nCela nous donnera une description différente du même tenseur de rang 2, avec une valeur d'indice covariant et une valeur d'indice contravariant\n ![](https://steemitimages.com/DQmasjudTxMkbGgPGY57TTobphPVaLSDBvpeXt9Mw3aeikp/image.png)\n*****************************\nProduit covariant et covariant\n*****************************\nSupposons que nous multiplions maintenant deux composantes covariants de chacun des deux vecteurs\n ![](https://steemitimages.com/DQmQCJbpu41oZeNqpahqCvBKVtuaLBzQHe6edhk51yG9Uts/image.png)\nCela nous donnera une description différente du même tenseur de rang 2, avec deux valeurs d'indice covariants\n ![](https://steemitimages.com/DQmekGcSYJx5iWd3kNTf1rnPLozn45eDoCajNxjtS1YH64p/image.png)\n ![](https://steemitimages.com/DQmcEnUx1DrAXAvwFy54467vWWeNGLg6sGodj29RYeJoNNv/image.png)\n ![](https://steemitimages.com/DQmQMnoQfp94AcTWdEvMhRYgxG7bV6kyrPdWAgNHRfo9QB4/image.png)\n\nTenseur rang 1\nUn tenseur de rang 1 est un vecteur\n![](https://steemitimages.com/DQmPn9sKuiJjNRJmeckbJbZ6BAejeXvq2ekC8vPt8s9kXNF/image.png)\nUn tenseur de rang 1 a un nombre associé à chacun des vecteurs de base\n ![](https://steemitimages.com/DQmYL89964fZeFXPt512vXdXiqRZfQtWRQuKN19y5RzxhTu/image.png)\n![](https://steemitimages.com/DQmZtvhqSkZ676FPse1HLEYDgVixzq1cPjgjiP4Aso4gvc7/image.png)\n \n******************\nTenseur rang 2 \n******************\nDans un tenseur de rang 2, au lieu d'associer un nombre à chaque vecteur de base, on associe un nombre à chaque combinaison possible de deux vecteurs de base\n ![](https://steemitimages.com/DQmd519D73pzUB6oYRzmjRH5NoY4vDPsDq1jzgt3xqvMa47/image.png)\n*****************\nTenseur rang 3\n*****************\n![](https://steemitimages.com/DQmZtc6pmLgWY5P5SGBVGMhZXJj1NZopze5rC81TFEXkdp9/image.png)\n    ![](https://steemitimages.com/DQmXXJURWTGTn9LfVGiU4UPjrZK6vM7pcgWAJAFi6LtNEGn/image.png)\n![](https://steemitimages.com/DQmQji5SNmngX93c5uPBUKCWGpBpKLFc3BZ4AG4NCeRJqUN/image.png)\n![](https://steemitimages.com/DQmUKk7299fDupU2RfAEXPQqzvaoBnZT3TLYaD7ykHDiem1/image.png)\nDans un tenseur de rang 3, nous associons un nombre à chaque combinaison possible de trois vecteurs de base\n ![](https://steemitimages.com/DQmbwK6UjQfkCTW5KKzzrCUJ54cj8ZrPt2tpWK8XpyJy4hJ/image.png)\nUn tenseur de rang 3 peut être composé des combinaisons de composants de trois vecteurs\n![](https://steemitimages.com/DQmUbQEcfnc3rYMK5dUUmyb2bdE4LHz6xV2eEfRUFw1g9U2/image.png)\n\nNous pouvons créer une description différente de ce tenseur en utilisant différentes valeurs indices contravariants et covariantes pour le composant des trois vecteurs\n \n![](https://steemitimages.com/DQmYESk2WToymbpc8FsgfN4W8h96FgBX18WeBnjCSZWLfXM/image.png)\n![](https://steemitimages.com/DQmNh7n4g9i2QoKSmz4ApVGP7Rn9TgWpGuYu9WdcKun6v5M/image.png)\n![](https://steemitimages.com/DQmbVKgxQRkc3ta3Pc1Qrof875vsTXXPJAZtG6tFj1mSPjc/image.png)\n![](https://steemitimages.com/DQmYv1whoivD2UpbkXixzYwfKEYM5K4iAHs5AUNGgrm3Wdz/image.png)\n![](https://steemitimages.com/DQmempSzxdeqpVHbiGwMB2WtveMdwEDNftiMsstef8V3Jvg/image.png)\n![](https://steemitimages.com/DQmZwX127Q7DLz76C2FYZDExpRu8ieFY352fFVpFSy5xbHj/image.png)\n\n\nCe cours d'introduction vous permettra de mieux comprendre les tenseurs lors de sont utilisation dans la relativité restreint ou générale. \n\nLes illustrations et les explications sont tirés de la vidéo youtube :\nhttps://www.youtube.com/watch?v=CliW7kSxxWU&list=PLkyBCj4JhHt-BTSJka3WRsTvmMKz1YNLY\net de l'article :\nhttps://fr.wikipedia.org/wiki/Covariant_et_contravariant_(alg%C3%A8bre_lin%C3%A9aire)",
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      "permlink": "tenseur-covariant-et-contravariant-algebre-lineaire",
      "title": "Tenseur : Covariant et contravariant (Algèbre linéaire)"
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