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  2. Infimum and supremum - Wikipedia

    en.wikipedia.org/wiki/Infimum_and_supremum

    The infimum is, in a precise sense, dual to the concept of a supremum. Infima and suprema of real numbers are common special cases that are important in analysis, and especially in Lebesgue integration. However, the general definitions remain valid in the more abstract setting of order theory where arbitrary partially ordered sets are considered.

  3. Glossary of music terminology - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_music_terminology

    In instrumental music, a style of playing that imitates the way the human voice might express the music, with a measured tempo and flexible legato. cantilena a vocal melody or instrumental passage in a smooth, lyrical style canto Chorus; choral; chant cantus mensuratus or cantus figuratus (Lat.) Meaning respectively "measured song" or "figured ...

  4. List of musical symbols - Wikipedia

    en.wikipedia.org/wiki/List_of_musical_symbols

    Musical symbols are marks and symbols in musical notation that indicate various aspects of how a piece of music is to be performed. There are symbols to communicate information about many musical elements, including pitch, duration, dynamics, or articulation of musical notes; tempo, metre, form (e.g., whether sections are repeated), and details about specific playing techniques (e.g., which ...

  5. List of Italian musical terms used in English - Wikipedia

    en.wikipedia.org/wiki/List_of_Italian_musical...

    Definition Lacuna: gap: A silent pause in a piece of music Ossia: from o ("or") + sia ("that it be") A secondary passage of music which may be played in place of the original Ostinato: stubborn, obstinate: A repeated motif or phrase in a piece of music Pensato: thought out: A composed imaginary note Ritornello: little return

  6. Limit inferior and limit superior - Wikipedia

    en.wikipedia.org/wiki/Limit_inferior_and_limit...

    The supremum/superior/outer limit is a set that joins these accumulation sets together. That is, it is the union of all of the accumulation sets. When ordering by set inclusion, the supremum limit is the least upper bound on the set of accumulation points because it contains each of them. Hence, it is the supremum of the limit points.

  7. Completeness (order theory) - Wikipedia

    en.wikipedia.org/wiki/Completeness_(order_theory)

    The supremum of B is then equal to the infimum of X: since each element of X is an upper bound of B, sup B is smaller than all elements of X, i.e. sup B is in B. It is the greatest element of B and hence the infimum of X. In a dual way, the existence of all infima implies the existence of all suprema.

  8. Essential infimum and essential supremum - Wikipedia

    en.wikipedia.org/wiki/Essential_infimum_and...

    As is often the case in measure-theoretic questions, the definition of essential supremum and infimum does not start by asking what a function does at points (that is, the image of ), but rather by asking for the set of points where equals a specific value (that is, the preimage of under ).

  9. Fauxbourdon - Wikipedia

    en.wikipedia.org/wiki/Fauxbourdon

    Fauxbourdon (also fauxbordon, and also commonly two words: faux bourdon or faulx bourdon, and in Italian falso bordone) – French for false drone – is a technique of musical harmonisation used in the late Middle Ages and early Renaissance, particularly by composers of the Burgundian School.