ProfMPSI — Les-mathematiques.net

/* * These styles apply ONLY to the header and footer assets. */ * { padding: 0; margin: 0; box-sizing: border-box; } .footer { background: #f5f5f6; color: #555a62; font-size: 14px; line-height: 1.5; padding: 18px 0; } .footer-wrap { padding-left: 18px; padding-right: 18px; max-width: 1236px; margin: 0 auto; } .footer a { color: #0291db; } .footer a:hover { color: #0276b3; } .footer-row { display: flex; flex-wrap: wrap; justify-content: space-between; align-items: center; margin: -3px; } .footer-col { padding: 0 3px; } .footer-col-copyRight { justify-content: flex-start; } .footer-col-logo { justify-content: flex-end; } .footer-col-copyRight, .footer-col-logo { flex: 1; display: flex; } .logo { width: 120px; height: 28px; opacity: 0.6; } @media screen and (max-width: 768px) { .footer-row { display: block; } .footer-col { width: 100%; text-align: center; margin: 6px 0; } .footer-col:first-child { margin-top: 0; } .footer-col:last-child { margin-bottom: 0; } .footer-col-copyRight, .footer-col-logo { justify-content: center; } .logo { margin: 0 auto; } } /*# sourceMappingURL=styles.css.map */ var _paq = window._paq = window._paq || []; /* tracker methods like "setCustomDimension" should be called before "trackPageView" */ _paq.push(['trackPageView']); _paq.push(['enableLinkTracking']); (function() { var u="https://lesmathematiques.matomo.cloud/"; _paq.push(['setTrackerUrl', u+'matomo.php']); _paq.push(['setSiteId', '1']); var d=document, g=d.createElement('script'), s=d.getElementsByTagName('script')[0]; g.async=true; g.src='https://cdn.matomo.cloud/lesmathematiques.matomo.cloud/matomo.js'; s.parentNode.insertBefore(g,s); })();

Réponses

sans hésitation: Rick Durrett, Probability: theory and examples.

dans Choix de livres de probabilités. Commentaire de ProfMPSI April 2013
$n$ si $n$ est impair
$(1+(-1)^{n/2})n$ si $n$ est pair

en faisant des changements d'indices dans les doubles sommes...

dans Somme des exp(2ipi*k²/n) Commentaire de ProfMPSI November 2012
bili: a dit:
un prof de prépa gagne au moins 4500 euros...

Je suis prof en prépa (MPSI: math+info) et je ne gagne pas cette somme!

dans math et politique (Hors math) Commentaire de ProfMPSI January 2007

Bonjour!

Pour participer au forum, cliquer sur l'un des boutons :

Connexion S'inscrire

/* * These styles apply ONLY to the header and footer assets. */ * { padding: 0; margin: 0; box-sizing: border-box; } .footer { background: #f5f5f6; color: #555a62; font-size: 14px; line-height: 1.5; padding: 18px 0; } .footer-wrap { padding-left: 18px; padding-right: 18px; max-width: 1236px; margin: 0 auto; } .footer a { color: #0291db; } .footer a:hover { color: #0276b3; } .footer-row { display: flex; flex-wrap: wrap; justify-content: space-between; align-items: center; margin: -3px; } .footer-col { padding: 0 3px; } .footer-col-copyRight { justify-content: flex-start; } .footer-col-logo { justify-content: flex-end; } .footer-col-copyRight, .footer-col-logo { flex: 1; display: flex; } .logo { width: 120px; height: 28px; opacity: 0.6; } @media screen and (max-width: 768px) { .footer-row { display: block; } .footer-col { width: 100%; text-align: center; margin: 6px 0; } .footer-col:first-child { margin-top: 0; } .footer-col:last-child { margin-bottom: 0; } .footer-col-copyRight, .footer-col-logo { justify-content: center; } .logo { margin: 0 auto; } } /*# sourceMappingURL=styles.css.map */