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  2. Contrabassoon - Wikipedia

    en.wikipedia.org/wiki/Contrabassoon

    The contrabassoon is a very deep-sounding woodwind instrument that plays in the same sub-bass register as the tuba, double bass, or contrabass clarinet.It has a sounding range beginning at B ♭ 0 (or A 0, on some instruments) and extending up over three octaves to D 4, though the highest fourth is rarely scored for.

  3. List of transposing instruments - Wikipedia

    en.wikipedia.org/wiki/List_of_transposing...

    This is a list of transposing instruments and their transposition. Transposing instruments are instruments for which the convention is to write music notation transposed relative to concert pitch . Instrument family

  4. Transposing instrument - Wikipedia

    en.wikipedia.org/wiki/Transposing_instrument

    Some instruments are constructed in a variety of sizes, with the larger versions having a lower range than the smaller ones. Common examples are clarinets (the high E ♭ clarinet, soprano instruments in C, B ♭ and A, the alto in E ♭, and the bass in B ♭), flutes (the piccolo, transposing at the octave, the standard concert-pitch flute, and the alto flute in G), saxophones (in several ...

  5. Fourth, fifth, and sixth derivatives of position - Wikipedia

    en.wikipedia.org/wiki/Fourth,_fifth,_and_sixth...

    Snap, [6] or jounce, [2] is the fourth derivative of the position vector with respect to time, or the rate of change of the jerk with respect to time. [4] Equivalently, it is the second derivative of acceleration or the third derivative of velocity, and is defined by any of the following equivalent expressions: = ȷ = = =.

  6. Contrabass clarinet - Wikipedia

    en.wikipedia.org/wiki/Contrabass_clarinet

    The contra-alto clarinet is higher-pitched than the contrabass and is pitched in the key of E ♭ rather than B ♭.The unhyphenated form "contra alto clarinet" is also sometimes used, as is "contralto clarinet", but the latter is confusing since the instrument's range is much lower than the contralto vocal range; the more correct term "contra-alto" is meant to convey, by analogy with ...

  7. Conjugate transpose - Wikipedia

    en.wikipedia.org/wiki/Conjugate_transpose

    In mathematics, the conjugate transpose, also known as the Hermitian transpose, of an complex matrix is an matrix obtained by transposing and applying complex conjugation to each entry (the complex conjugate of + being , for real numbers and ).

  8. Peres–Horodecki criterion - Wikipedia

    en.wikipedia.org/wiki/Peres–Horodecki_criterion

    The Peres–Horodecki criterion is a necessary condition, for the joint density matrix of two quantum mechanical systems and , to be separable.It is also called the PPT criterion, for positive partial transpose.

  9. Talk:Transposing instrument - Wikipedia

    en.wikipedia.org/wiki/Talk:Transposing_instrument

    The kind of transposition practiced by a given transposing instrument is always directly related to its fundamental pitch: an instrument in Eb always transposes to Eb (i.e. its own C will sound a concert pitch of Eb), never to Bb, D, G or any other note than Eb (in particular it follows that instruments whose fundamental pitch is C are never ...