John Coltrane Draws a Picture Illustrating the Mathematics of Music

Physicist and saxophonist Stephon Alexander has argued in his many public lectures and his book The Jazz of Physics that Albert Einstein and John Coltrane had quite a lot in common. Alexander in particular draws our attention to the so-called “Coltrane circle,” which resembles what any musician will recognize as the “Circle of Fifths,” but incorporates Coltrane’s own innovations. Coltrane gave the drawing to saxophonist and professor Yusef Lateef in 1967, who included it in his seminal text, Repository of Scales and Melodic Patterns. Where Lateef, as he writes in his autobiography, sees Coltrane's music as a "spiritual journey" that "embraced the concerns of a rich tradition of autophysiopsychic music," Alexander sees “the same geometric principle that motivated Einstein’s" quantum theory. Neither description seems out of place. Coltrane was also very much aware of Einstein’s work and liked to talk about it frequently. Related Content: John Coltrane’s ‘Giant Steps’ Animated Related: sites à lire • Human Stuff

(Re)découvertes de l'été - 8 - Générateurs de tests de tables - Charivari à l'école Voici 6 fichiers qui permettent de générer automatiquement des tests de tables d’addition, de soustraction, de multiplication ou de division en choisissant les tables testées (3 tests par page ou 1 seul grand test, suivant le fichier choisi). En page 2, on a une page de correction qui peut servir à réaliser un fichier autocorrectif ou bien à vous faciliter la correction (qui est ch… heu, fastidieuse, je vous préviens). On peut, par exemple, faire faire un graphique de suivi de leur score aux élèves… Remarque de fond : Je ne sais pas vous, mais de mon côté, quand je demande à mes élèves de réviser la table de multiplication par 3, j’attends qu’ils sachent aussi bien répondre à 7×3 qu’à 3×7. Remarque de forme : pour économiser du papier, des photocopies, et coller le test sur un petit cahier, ces tests restent tout à fait lisibles et « remplissables » imprimés en demi-format, avec l’option « 2 pages par feuille » (Kesaco ? Le voici ci-dessous :

Che rumore faceva Parigi nel Settecento? | Flashes In Kirghizistan, l’11 dicembre si terrà un referendum su una riforma costituzionale che fra le altre cose espanderà i poteri del primo ministro. In molti temono che sia una misura studiata dal presidente Moldakun Abdyldayev per accentrare i poteri nel governo, molto legato alla sua figura. Nel frattempo però è sorto un altro problema: non si trova il testo originale della Costituzione. Il ministero della giustizia dice che ne ha solo una copia e che l’originale ce l’ha la presidenza della Repubblica, la quale dice che invece pensava che fosse nelle mani del ministero.

space_3276808 2. Act normal If you are a high-risk source, avoid saying anything or doing anything after submitting which might promote suspicion. In particular, you should try to stick to your normal routine and behaviour. 3. If you are a high-risk source and the computer you prepared your submission on, or uploaded it from, could subsequently be audited in an investigation, we recommend that you format and dispose of the computer hard drive and any other storage media you used. In particular, hard drives retain data after formatting which may be visible to a digital forensics team and flash media (USB sticks, memory cards and SSD drives) retain data even after a secure erasure. If you do this and are a high-risk source you should make sure there are no traces of the clean-up, since such traces themselves may draw suspicion. 4. If a legal action is brought against you as a result of your submission, there are organisations that may help you.

3,700-year-old Babylonian tablet rewrites the history of maths - and shows the Greeks did not develop trigonometry Repenser l’aménagement de la classe L’ergonomie et l’aménagement de l’espace sont aujourd’hui largement pris en compte comme des facteurs de bien-être et de productivité dans les entreprises. Ce sont néanmoins des préoccupations moindres dans les établissements scolaires. Tables en rangées, en U, en double U, en îlots ou encore en chevrons… Avez-vous mené votre propre enquête sur la disposition idéale ? De quoi éveiller notre curiosité sur le sujet ! 1/ L’aménagement de la classe selon le type d’enseignement Chaque disposition a ses avantages, et chaque enseignant ses préférences, ce qui n’est pas toujours simple lorsque vous êtes plusieurs à partager la même salle. En « rangées » ou en « Autobus » Avec cette disposition classique, vous êtes un peu comme le phare qui surplombe l’océan : vous voyez l’ensemble de la classe et les élèves n’ont pas besoin de se dévisser le cou pour vous voir, ainsi que pour voir le tableau et prendre des notes. En chevrons (ou épis) En U ou double U En îlots —[Mise à jour]—

Giuseppe Cambiano. Platone: musica e matematica Giuseppe Cambiano, professore emerito di Storia della Filosofia Antica presso la Scuola normale superiore di Pisa, intervistato al Festival della Filosofia di Modena 2017, parla degli insegnamenti di matematica e musica nell’Accademia platonica. La musica per i greci, era intesa in senso molto più ampio rispetto a come la intendiamo oggi, era l’arte delle Muse, la cultura letteraria musicale in senso generale e aveva una funzione essenziale per la formazione e del carattere dei giovani. La musica è anche studio dei rapporti numerici e la matematica ha una funzione essenziale per la filosofia perché ci fa fare un salto dalla considerazione degli oggetti puramente sensibili alla considerazione delle forme universali, che sono per esempio le forme geometriche che vengono studiate nelle loro proprietà generali. La funzione conoscitiva della matematica è straordinaria perché ci premettere di cogliere le proprietà generali delle cose ed è la via che ci conduce alla filosofia. Tags

U.S. Army War College Strategic Cyberspace Operations Guide 1. This publication provides a guide for U.S. Army War College students to understand design, planning, and execution of cyberspace operations at combatant commands (CCMDs), joint task forces (JTFs), and joint functional component commands. It combines existing U.S. Government Unclassified and “Releasable to the Public” documents into a single guide. 1. 2. 3. 4. Share this: This Architect Fuses Art and Science by Hand Illustrating the Golden Ratio This Architect Fuses Art and Science by Hand Illustrating the Golden Ratio Rafael Araujo is a Venezuelan architect and illustrator who at the age of fifteen began to observe intelligent patterns in nature, giving rise to his interest in the golden ratio located in our natural environment. More than 40 years later, the results of this hobby is a collection of beautiful illustrations of nature made entirely by hand, equipped with a pencil, a compass, a ruler and a protractor. The artist's illustrations give his ability to represent the mathematical brilliance of the natural world, inciting the reunion of humans with nature. Illustrations that seem to come from a technological team, are made entirely by hand, mixing mathematical perfection with the artistic performance of Araujo. Through the application of growth patterns governed by golden ratio's geometric formulas, the secrets of carefully detailed designs of natural spirals, sequences and proportions unfolds.

6e- Game of Geogebra - RIGUET MATHS Après plusieurs heures de travail (beaucoup moins si j'avais du créé mes activités moi-même), voici le Game of Geogebra pour les 6e. Pour éviter d'avoir à imprimer trop de documents et pour le côté ludique, j'ai créé un livret numérique avec geogebra en ligne. Je n'ai pas crée les activités, elles proviennent toutes du site de Juliette Hernando (lien en bas de l'article). J'ai simplement créé et mis en forme le livret, réalisé les capsules vidéos et élaboré la fiche expérience pour les élèves ... et eu l'idée de réaliser cet atelier pour mes 6e. POURQUOI ce format ? Avantages les aides en vidéos, les programmes de construction et les fichiers geogebra (avec barre d'outils personnalisés) regroupés tout au même endroit. Inconvénient : il faut internet ! La fiche expérience à imprimer pour chaque élève Le livret numérique du Game Of Geogebra 6e cliquer sur l'image Les activités en version papier (et bien plus encore)

Funnels for Startups: A Primer Funnels are remarkably useful in many aspects of startup life. Whether you are trying to get users to try your product, or sell to an enterprise customer, or hire an engineer, or raise capital, you are dealing with a funnel. Funnels are essentially inverted pyramids divided into stages. In other words, a perfect funnel would be: you talked to 100 companies, and every single one became a customer, or you talked to 20 investors and all wrote you a check. Perfect funnels don’t exist in real life—that’s why we are going to talk about strategies and methods to get as close to a perfect funnel as possible. Rule 1: Optimize Funnels From the Bottom Up Here is the first and most important rule of any funnel: Optimize Funnels from the bottom up. Why? Picture a massive bucket of water. Like leaky buckets, funnels that aren’t tuned on the bottom are a waste of your time. First, you make sure the bottom of the funnel is solid and then you work your way back up through the stages. Activation: Retention: