Search results
Results from the WOW.Com Content Network
In mathematics, Hodge theory, named after W. V. D. Hodge, is a method for studying the cohomology groups of a smooth manifold M using partial differential equations.The key observation is that, given a Riemannian metric on M, every cohomology class has a canonical representative, a differential form that vanishes under the Laplacian operator of the metric.
José Argüelles (/ ɑːr ˈ ɡ w eɪ. ɪ s /; born Joseph Anthony Argüelles; January 24, 1939 – March 23, 2011) [1] was an American New Age writer and artist. He was the co-founder, along with Lloydine Argüelles, of the Planet Art Network and the Foundation for the Law of Time.
Timpani produce inharmonic overtones, but are constructed and tuned to produce near-harmonic overtones to an implied missing fundamental. Hit in the usual way (half to three-quarters the distance from the center to the rim), the fundamental note of a timpani is very weak in relation to its second through fifth "harmonic" overtones. [18]
Riemann's "dualist" system for relating triads was adapted from earlier 19th-century harmonic theorists. The term "dualism" refers to the emphasis on the inversional relationship between major and minor, with minor triads being considered "upside down" versions of major triads; this "harmonic dualism" (harmonic polarity) is what produces the change-in-direction described above.
In mathematics and mathematical physics, potential theory is the study of harmonic functions.. The term "potential theory" was coined in 19th-century physics when it was realized that two fundamental forces of nature known at the time, namely gravity and the electrostatic force, could be modeled using functions called the gravitational potential and electrostatic potential, both of which ...
Texas is looking at a plan to ramp up migrant buses again — but instead of sending them to sanctuary cities, officials would ship newly arrived illegal migrants directly to ICE holding centers ...
Doctors and specialists at the Murdoch Children's Research Institute in Melbourne, Australia, are studying and reprogramming the potential of the blood to treat heart failure in children.
The theorem is a corollary of Harnack's inequality. If u n (y) is a Cauchy sequence for any particular value of y, then the Harnack inequality applied to the harmonic function u m − u n implies, for an arbitrary compact set D containing y, that sup D |u m − u n | is arbitrarily small for sufficiently large m and n. This is exactly the ...