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Example of abstract complementation drawn from Arnold Schoenberg's Fünf Klavierstücke. [12] As a further example take the chromatic sets 7-1 and 5-1. If the pitch-classes of 7-1 span C–F ♯ and those of 5-1 span G–B then they are literal complements. However, if 5-1 spans C–E, C ♯ –F, or D–F ♯, then it is an abstract complement ...
The hyperbolic volume of the figure-eight knot is 2.0298832. In the mathematical field of knot theory, the hyperbolic volume of a hyperbolic link is the volume of the link's complement with respect to its complete hyperbolic metric. The volume is necessarily a finite real number, and is a topological invariant of the link. [1]
The drum was turned by use of a crank on the top of the instrument. The number of cams encountered by each digit as the crank turned was determined by the value of that digit. For example, if a slide is set to its "6" position, a row of 6 cams would be encountered around the drum corresponding to that position.
In modern Western tonal music theory an augmented unison or augmented prime [3] is the interval between two notes on the same staff position, or denoted by the same note letter, whose alterations cause them, in ordinary equal temperament, to be one semitone apart.
In physics, complementarity is a conceptual aspect of quantum mechanics that Niels Bohr regarded as an essential feature of the theory. [1] [2] The complementarity principle holds that certain pairs of complementary properties cannot all be observed or measured simultaneously.
For example, according to the USDA, a large frozen mocha coffee drink contains around 502 calories, 73 grams of sugar and 9.5 grams of saturated fat.
In other words, a volume form gives rise to a measure with respect to which functions can be integrated by the appropriate Lebesgue integral. The absolute value of a volume form is a volume element, which is also known variously as a twisted volume form or pseudo-volume form. It also defines a measure, but exists on any differentiable manifold ...
Hone Health unveils the logic behind the latest longevity trend: social wellness clubs.