 | Geometric Mean and Pythagorean Theorem Mr. Yee Breaking it down for blocks 2 and 4. With a little geometric mean and pythagorean theorem |
 | Arithmetic (mean) versus geometric (median) stock return The expected return of a stock is ambiguous because, if we assume returns are normal, then price levels are lognormal. In which case, the mean does not equal the median future stock price. |
 | Echoview Formula operator - mean of 3 operands Created with Echoview 4.40 Example of Forumla operator to create a (geometric) mean of three operands. |
 | Harpsichord tuning: building a scale by ear - Bradley Lehman Tuning a harpsichord from the reference of a single starting note. In this demonstration we start from an A, and then we derive all the notes of a pentatonic scale from it: F, G, A, C, and D. The title of this demonstration could also be: "Starting any meantone temperament accurately, by ear." The notes and intervals are adjusted carefully until they are deliberately impure by the right amounts relative to one another. *** A transcript of the captions is available here: http://www-personal.umich.edu/~bpl/tetrasect.htm *** Despite some perhaps arcane terminology, this is merely a simple listening skill of controlling the relative pitches carefully. With practice, and knowing what to listen for, this skill can be developed by any reasonably musical teenager working hands-on at a harpsichord. The basic technique here is to set up four consecutive 5ths (such as F-C-G-D-A) with exactly the same amount of tempering (impurity) in each interval, deliberately. The 5ths all have to be made slightly narrow, or else we would end up with a major 3rd that is unpleasantly wide and ugly. Tempering is always a series of trade-offs. In this demonstration a size of major 3rd is chosen first, as boundary, and then the intervening 5ths/4ths are fit equally into that confined space. Here we have chosen to start with a pure major 3rd, for simplicity, but the technique works similarly with any other reasonable size. We could have used a slightly wider major 3rd tastefully, according to the milieu and the keys of the music we plan to play. The resulting layout is called "meantone" because the whole step (the tone) makes an equal and average size within a given size of major 3rd. That is, for example, F to G being the same size step as G to A, within the major third F-A as illustrated here. The G's frequency is at the geometric mean between the other two frequencies. This hands-on tuning method at the harpsichord is entirely geometric/analog, not involving any calculations or any technology invented later than 1600. (Well, OK, the tuning fork was 1711, but it's not necessary even to have a tuning fork; just some suitable way to assign a resonable pitch to the first note.) This is the basis for most of the historical keyboard temperaments used on harpsichords, clavichords, organs, and pianos: at least among the natural notes (white keys on a piano), having all or most of them equally spaced in a "meantone" relationship. After watching the video several times, taking notes if necessary, it might be useful to go through it again only listening closely to the sound (i.e. not looking at the picture or the captions). It might be easier to comprehend in that way, since the technique being taught is a listening skill...not a reading skill. Of course, nothing substitutes for trying it out oneself at a harpsichord, to get a feel for the types of adjustments necessary. With enough practice, and using temperaments that are built like this, the whole harpsichord can be tuned accurately by ear in about 7 to 20 minutes. This same triplets-to-duplets listening skill is also useful in checking the purity of octaves, especially when working on the treble notes. I use it all the time to make sure my 5ths and 4ths aren't getting too gamey, or conversely too nearly pure where they're not supposed to be! Dr Bradley Lehman http://www.larips.com Tuning resources and CDs |
 | Weighted Companion Cube Incineration 2nd edit: The creator of this video was justly hit by seven consecutive trucks containing questionable science equipment and simple geometric shapes. Please stop requesting that he die. I'm sure he's in hell, so don't bother saying that either, haha. edit: I thought that burning it would be the most honorable death, I mean, as I recall, you euthanized YOUR faithful Companion Cube more quickly than any test subject on record! Apparently, I was mistaken. I got one of those plushes, so I'll take much better care of it. After Spilling Lemonade on my homemade cube, I hate to say, it had to go. So I headed down to the grill, I mean, Aperture Science Emergency Intelligence Incinerator, with some chicken wings, and... Music is Portal end theme, 'Still Alive to anyone who doesn't know, which is no one watching this, then 'The City Air' by Decade of Experts and Assassins Man every time I watch this I feel like more of a douchebag for not editing out my voice at a few parts before uploading. Oh well. |
 | Parting C (Calculus) - Nth Degree Calc AP Music Video :) 11 Hours - Writing, Recording, Filming LYRICS Parting c you mean so much to me If I want know if a series converges or diverges I look to your beautiful face Parting c you mean so much to me If I want know if a series converges or diverges I look to your beautiful face The first part of parting c Goes like one over n raised to the p If p is greater than one the series converges If p is less than or equal to one the series diverges This is called the p-series test Let's not stop there, there's no time for rest Uh! Uh! Now let's take it to the next degree Alternating series second in parting c First you got negative one to the n, a sub n If a sub n plus one is less than a sub n The limit as n approaches infinity is zero Then the series converges Gotta follow my urges, gotta follow my urges Parting c you mean so much to me If I want know if a series converges or diverges I look to your beautiful face Ratio test a sub n plus one over a sub n Take the absolute value and the limit to infinity Powers and factorials made so easy Set the limit to l, a letter of the alphabet Greater than one, the series diverges Less than one, the series converges If l is equal to one, then advance to the test So when you see a constant over a factorable polynomial You should be jovial because you can use the telescoping test By taking partial fractions with a and b Everything cancels out but the first and last term So that you get s sub n as your final sum Now listen some more for what's to come Listen some more for what's to come Parting c you mean so much to me If I want know if a series converges or diverges I look to your beautiful face Given the series a sub n Take the integral from a to infinity If the integral converges, the series also does If the integral diverges, the series always does When you get a series find the limit of n to infinity If the this term is not equal to zero, your done, the series diverges If not, have fun, checking if it converges Parting c you mean so much to me If I want know if a series converges or diverges I look to your beautiful face You can't miss the next The geometric series test In our opinion it is the very best The series diverges if the absolute value of r is greater than (or equal to) one If so, you are done If not, converges a over one minus r You won't have to go very far Uh! Uh! Uh! Uh! There's one test left called comparison test Put two series side by side And if the bigger one converges so does smaller And if the smaller one diverges so does the bigger And here's the end of our melodious song Parting C has brought us this far along With Mike Chin's rap to start the ball To the five guys who made calc AP a memory to all |
 | WhyWeightedArithmeticMeanOfLogIsEqualToLogOf GeometricMean? math |
 | LIBERTY EQUALITY FRATERNITY and ME Version #1 - Got Music? "The world has never had a good definition of the word liberty, and the American people, just now, are much in want of one. We all declare for liberty; but in using the same word we do not all mean the same thing. With some the word liberty may mean for each man to do as he pleases with himself, and the product of his labor; while with others the same word may mean for some men to do as they please with other men, and the product of other men's labor. Here are two, not only different, but incompatible things, called by the same name, liberty. And it follows that each of the things is, by the respective parties, called by two different and incompatible names, liberty and tyranny." President Abraham Lincoln, 1864. President ABRAHAM LINCOLN, address at sanitary fair, Baltimore, Maryland, April 18, 1864.—The Collected Works of Abraham Lincoln, ed. Roy P. Basler, vol. 7, pp. 301--2 (1953). "He [the revolutionary] is damned always to do that which is most repugnant to him: to become a slaughterer, to sacrifice lambs so that no more lambs may be slaughtered, to whip people with knouts so that they may learn not to let themselves by whipped, to strip himself of every scruple in the name of a higher scrupulousness, and to challenge the hatred of mankind because of his love for it - an abstract and geometric love." Arthur Koestler, "Darkness at Noon", 1940. To catch up on your French history browse the fabulous site and hear and contrast the words in two songs with translations: http://chnm.gmu.edu/revolution/browse/songs/# The Alarm of the People A song performed in opposition to singers of the Marseillaise. Réveil du peuple Peuple français, peuple de frères, Peux-tu voir, sans frémir d'horreur, Le crime arborer les bannières Du carnage et de la Terreur? Tu souffres qu'une horde atroce, Et d'assassins et de brigands, Souille par son souffle féroce, Les territoires des vivants! Quelle est cette lenteur barbare? Hâte-toi peuple souverain, De rendre aux monstres du Ténare Tous ces buveurs de sang humaine. Guerre à tous les agents du crime! Poursuivons-les jusqu'au trépas; Partage l'horreur qui m'anime, Il ne nous échapperont pas. Représentants d'un peuple juste, O vous! législateurs humains, De qui la contenance auguste Fait trembler nos vils assassins, Suivez le cours de votre gloire. Vos noms chers à l'humanité, Volent au temple de mémoire, Au sein de l'mmortalité. The Marseillaise (War Song for the Army of the Rhine) This song remains as the French national anthem today. The Marseillaise (The War Song for the Army of the Rhine) Forward children of the homeland! The day of glory has arrived; Against us, tyranny's bloody standard Has been raised. Do you hear the roar of ferocious soldiers Coming from the countryside? They are coming into your very homes To slaughter your sons and wives! Refrain: To arms, citizens, form your battalions, March on, march on, let impure blood water our furrows. What do they want, this horde of slaves, traitors, and conspiratorial kings? For whom are these vile shackles, These irons ready for so long! These irons ready for so long! French people! For us, oh what an insult! What transports they must excite! Is it us that they are daring to consider Returning to antiquated slavery? Refrain: To arms, citizens, form your battalions, March on, march on, let impure blood water our furrows. Sacred love of the homeland, Guide and strengthen our avenging arms Liberty, beloved Liberty! Fight alongside your defenders Fight alongside your defenders Beneath our banners to which Victory Rushes to hear your manly tone: So that your dying enemies Will see your triumph and our glory. dojoro.com BOTTOM LINE: Got better sound than this? Let me know of it! |
 | LIBERTY EQUALITY FRATERITY and ME #2 - Got Sounds? Got music/audio or an good idea for this new version of Liberty Equality Fraternity and Me? "The world has never had a good definition of the word liberty, and the American people, just now, are much in want of one. We all declare for liberty; but in using the same word we do not all mean the same thing. With some the word liberty may mean for each man to do as he pleases with himself, and the product of his labor; while with others the same word may mean for some men to do as they please with other men, and the product of other men's labor. Here are two, not only different, but incompatible things, called by the same name, liberty. And it follows that each of the things is, by the respective parties, called by two different and incompatible names, liberty and tyranny." Abraham Lincoln President ABRAHAM LINCOLN, address at sanitary fair, Baltimore, Maryland, April 18, 1864.—The Collected Works of Abraham Lincoln, ed. Roy P. Basler, vol. 7, pp. 301--2 (1953). "He [the revolutionary] is damned always to do that which is most repugnant to him: to become a slaughterer, to sacrifice lambs so that no more lambs may be slaughtered, to whip people with knouts so that they may learn not to let themselves by whipped, to strip himself of every scruple in the name of a higher scrupulousness, and to challenge the hatred of mankind because of his love for it - an abstract and geometric love." Arthur Koestler author of "Darkness at Noon" (1940.) To catch up on your French history via art and song: http://chnm.gmu.edu/revolution/browse/songs/# Now all we need is an idea for some sound and /or music for this video. No money exchanged but plenty thanks and credit posted! |
 | K-Scope 4 Plants are grouped into floras based on region, period, special environment, or climate. Regions can be geographically distinct habitats like mountain vs. flatland. Floras can mean plant life of an historic era as in fossil flora. [music by Yann Tiersen] |
 | After Dürer After Dürer is a new film by Daniel Belton about maths and music, combining alchemy with choreography in an on-screen exploration of Albrecht Dürer's famous print 'Melencolia'. Martin Lodge of Waikato University Music Department initiated the project, and scored the cello parts as played by James Tennant. These sound phrases were mixed and restructured in post production along with all the visual editing by Daniel Belton. The concept and choreography for the film was developed by Daniel with Donnine Harrison, Peter Belton, and Martin Lodge. Digital artist Jac Grenfell brought to life the complex Polyhedron (or Geometric Body), which is the centre piece of the engraving. World Premiere at The Body Festival, October 2007, Christchurch, New Zealand. After Dürer was selected for New Zealand Listener Magazines Best of Dance film 2007: "Time-travelling, Belton, as both alchemist and object, creates dance housed within a magic digital architecture" After Dürer has made official selection to IL COREOGRAFO ELETTRONICO 2008, in Naples, Italy. XV FESTIVAL INTERNAZIONALE DI VIDEODANZA 2008 MADRE Museum- via L. Settembrini, Napoli - Italy The 15th edition of the Festival has been concluded with a great success of people. More than 120 works submitted from many nations in the world. Among partecipating nations: Italy, France, Germany, Spain, The Netherlands, Portugal, Austria, Croatia, Slovenia, Finland, Greece, Belgium, Great Britain, Switzerland, Turkey, Poland, Hungary, Israel, U.S.A., Australia, New Zealand, Argentina, Canada, Chile, Venezuela, India, South Korea, Japan. Prize MOST INNOVATIVE WORK - After Dürer, by Daniel Belton, New Zealand, 2007 (Premio OPERA PIU' INNOVATIVA - After Dürer, di Daniel Belton, Nuova Zelanda, 2007) "Through an elegant and strict visual figure - characterized by a suggestive post-modern mentionism - this work, which is a cooperation of professionalities of various milieu, such as digital graphic, music, art, math, dance, etc. finds one of the most interesting tendences of videodance, that one which doesn't limit research to choreographic and movie aspects, but extends to optical-visual and perceptive level, fully showing that videodance belongs to videoart's sphere" Festival Jury "Dürer encouraged his students to learn a musical instrument to counter the effects of melancholia. In modern terms melancholia is associated with gloominess - but the real interpretation was that in Dürer's time a melancholic was a person given to excessive thinking. So a melancholic was an introspective or reflective person. Dürer said all artists were therefore melancholics. With black and white (tone) Dürer could make us feel colour - this was his genius" Peter Belton "If this shape was discovered by Dürer himself, then the possibility arises that the odd shaped block and its magic square are not just two iconographical elements, amongst many others, but perhaps even the raison d'etre of the whole work. Its very strangeness would justify its being used as the subject of a picture; and if Dürer wanted to use it, but not to betray its source, then the block and the square would have to be set amongst many symbolic objects, all relating to geometry and its practical use, so that the connection between the two would be obscured. This would mean, in effect, that Melencolia and all her attendant iconography would now be seen as a vehicle for the illustration of a discovery, a vehicle so erudite in its symbolism that it has intrigued scholars for years." Terence Lynch The film After Dürer is also a journey of discovery. Through choreography and dance, geometry, animation, music and film, this work offers a contemporary search into the heart of Dürer's mysterious engraving 'Melencolia I'. |
 | Wooden secret keepsake & memory puzzle boxes Wooden Memory & Keepsake Boxes Who makes the boxes? Wooden memory keepsake puzzle boxes are handcrafted in Uruguay. These boxes are finely crafted by only one highly skilled master craftsman in Montevideo capital of Uruguay. The techniques used in Uruguay to make this boxes have only be used by one craftsman. He will pass to his son his secrets. What about creating a box? Before creating a new box, he first designs how the box mechanisms will work. He then select the wood to be used and let it dry for a time. After the wood has dried, he cut pieces and assemble the box. The finishing is made by hand to give them the final special rounded and shining touch. It takes about a month to finish them with the glamour they express.Since they are individually crafted, no two boxes are the same. What are the Uruguayan boxes meant to be? The are meant to be an enigma. Without experience they seem very difficult to open. Some boxes-parts move smoother than others. We try our best to give our impression on the smootness of movement for each box we sell. If the pieces are a little harder to move don't force them, with a litlle bit of pacience you will be able to open them. But generally the seams are visible and the pieces move with ease. The interiors are nicely lined and have removeble trays. If you are looking for apparently secret puzzle boxes of the finest quality and that offer a challenge. "Where to start?" "And how to get them together?". You found the ideal place to purchase them. What variety of woods do we offer? South-America has an amazing variety of trees. Uruguayan puzzle boxes take advantage of these natural woods, colors and textures to produce there elaborate geometric patterns. Each box is finely handcrafted from native woods and finished as shown. Beautifull materials such as "grabillea, acacia negra, cerejeira, ligustro, itaúba, nogal, roble, agorrobo, olivo, olmo" used are crafted into these fun and eyecatching wooden boxes. We also use recycled antique woods such as antique doors, train supporting-beams, ceiling-beams of antique houses or from construction. Also stationair wood from saw-mills very dry. These woods are difficult to find but sometimes there are opportunities. How to qualify the difficulty? The number of steps, necessary to open the box are an important factor. Usually, more steps denote a higher difficulty to open. Level 1 : Easy Level 2 : Moderately easy Level 3 : Moderate Level 4 : Medium Level 5 : Difficult Level 6 : Very difficult What about collectors of special boxes? Uruguayan puzzle boxes are as collectible today as they have ever been. There are more designs being produced today then ever. So the collector who is looking for variety, has endless possibilities available. Luckely the artform has gained many new enthusiastic collectors from around the world and our Uruguayan craftsman is now emerging and creating fantastic new designs and opening methods. This section includes boxes that have a craftsman's signature stamp and delivered with certificate of uniqueness. What does it mean to purchase a wooden memory keepsake puzzle box? Any of these boxes are sure to become family heirlooms. Buy one today to keep your precious memories and keepsakes in a special and beautiful box. They are a great place to hide your small treasures. These boxes make great gifts for someone who is hard to buy for. We have found that everyone loves these boxes...children, teens, adults, men and women. You can challenge your friends. These boxes are for fun. Just have fun frustrating friends and family as they try to see if thy can open them? It is also a very valuable empresario gift. We can make inscriptions for special ocasions such as bar and bat-mitzva's, when a child is born, anniversaries, bithdays...you name it we make it thrue. How to care for? Avoid areas of high humidity and high temperature. To clean, wipe the surface with a clean dry cloth.DO NOT use abrasive cleansers; The first fex times you open a box and the pieces are a little harder to move, you may want to use lightweight rubber gloves or rubber fingertips. This will prevent your nails for damaging or denting the wood. Do not drop or allow impact to the box. Never force pieces to move WOODEN MEMORY KEEPSAKE PUZZLE BOXES ARE SOMETHING SPECIAL!!! |
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