14 Mars Jour transcendant

Aujourd’hui c’est le PI Day . Le jour anniversaire du nombre PI soit 3,14159 …
En effet le 14 Mars (3 14) à 1H 59 minutes ce sera l’anniversaire de ce nombre transcendant.

Le nombre Pi a bien sûr son site : ici

En mathématiques, un nombre transcendant est un nombre réel ou complexe qui n’est racine d’aucune équation polynomiale :

a_n~x^n + a_{n-1}~x^{n-1} + \cdots + a_1~x^1 + a_0 = 0\,

n \ge 1\, et les coefficients a_i\, sont des nombres entiers (donc des rationnels), dont au moins l’un an est non nul. Un nombre réel ou complexe est donc transcendant si et seulement s’il n’est pas algébrique.

Si on sait démontrer que des  nombres sont transcendants comme e et Pi, certains nombres résistent comme la constante de Catalan, encore un Catalan me direz vous.

En mathématiques, la constante de Catalan, nommée d’après le mathématicien Eugène Charles Catalan, est le nombre défini par :

K = \beta(2)=\sum_{n=0}^\infty \frac{(-1)^n}{(2n+1)^2}\simeq 0,91596559417721901505…,

? est la fonction beta de Dirichlet.

Ce n’est qu’en 2002 que Preda V. Mih?ilescu, un mathématicien roumain démontra  la conjecture de Catalan.

Deux nombres entiers consécutifs, autres que 8 et 9 ne peuvent être des puissances exactes; autrement dit: l’équation

x^p - y^q = 1 \,

dans laquelle les inconnues sont entières et positives, n’admet qu’une seule solution

  1. supreme clothing

    I precisely desired to thank you very much yet again. I do not know what I might have made to happen in the absence of these strategies shared by you regarding my industry. It absolutely was a hard crisis for me personally, nevertheless being able to see a new professional mode you handled that forced me to leap for contentment. I am thankful for your advice and sincerely hope you comprehend what an amazing job that you’re putting in instructing many others with the aid of your blog. I am sure you haven’t come across all of us.

  2. goyard outlet

    I precisely needed to thank you very much all over again. I do not know what I would’ve followed without the creative concepts discussed by you relating to such a industry. It was before a frightening concern in my position, however , finding out your well-written tactic you resolved that took me to jump over delight. I am happy for your service as well as have high hopes you are aware of a great job that you’re undertaking teaching many others all through a web site. I am certain you’ve never met any of us.

  3. lebron james shoes

    I simply wanted to appreciate you all over again. I’m not certain the things that I would have achieved in the absence of these tips and hints contributed by you directly on that concern. Completely was a very traumatic dilemma in my view, however , taking a look at the very well-written strategy you solved that took me to weep with contentment. I am thankful for your guidance and thus expect you know what a powerful job your are providing instructing many others using your site. Most likely you have never encountered all of us.

  4. golden goose

    I have to express my appreciation to the writer for rescuing me from such a instance. After browsing throughout the search engines and getting suggestions which were not productive, I thought my life was gone. Living without the presence of strategies to the issues you’ve sorted out as a result of your entire report is a critical case, as well as the kind which might have adversely affected my career if I had not encountered your website. Your actual understanding and kindness in maneuvering a lot of things was crucial. I’m not sure what I would’ve done if I had not encountered such a thing like this. It’s possible to now relish my future. Thanks so much for this skilled and results-oriented guide. I will not think twice to recommend the website to any person who ought to have counselling about this matter.

  5. supreme clothing

    I really wanted to write a brief note so as to express gratitude to you for all the stunning tips and tricks you are showing here. My incredibly long internet investigation has now been paid with incredibly good know-how to talk about with my family and friends. I would admit that many of us readers actually are very endowed to be in a magnificent network with very many marvellous individuals with interesting guidelines. I feel truly fortunate to have come across the webpage and look forward to many more fabulous minutes reading here. Thanks a lot again for everything.

  6. golden goose

    I would like to point out my appreciation for your kindness giving support to individuals who require help with the issue. Your very own commitment to getting the message throughout appears to be definitely beneficial and has in most cases allowed girls like me to realize their aims. Your own invaluable information means a lot a person like me and especially to my office colleagues. Thanks a ton; from everyone of us.

Laisser un commentaire

Votre adresse e-mail ne sera pas publiée.