Heaviside

Definitions

  • WordNet 3.6
    • n Heaviside English physicist and electrical engineer who helped develop telegraphic and telephonic communications; in 1902 (independent of A. E. Kennelly) he suggested the existence of an atmospheric layer that reflects radio waves back to earth (1850-1925)
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Usage

In literature:

Pray tell me some news about Cameron, Watkins, Marindin, the two Thompsons of Trinity, Lowe, Heaviside, Matthew.
"The Life and Letters of Charles Darwin, Volume I (of II)" by Charles Darwin
Ever met Heavisides of the Bombay Fusileers?
"Stories By English Authors: London" by Various
In the evening we went to Palmo's Opera-house, to hear Dr. Lardner, of Heaviside notoriety.
"Journal of a Voyage across the Atlantic" by George Moore
They are already in operation, sending their defensive waves against the Heaviside layer.
"Invaders from the Infinite" by John Wood Campbell
I pulls them in, and takes them to Will Heaviside, who appears to be mightily pleased, and gives me the money.
"Jacob Faithful" by Captain Frederick Marryat
Now, my dear Mr Heaviside, what would you propose?
"Newton Forster" by Captain Frederick Marryat
The heaviside layer, as you doubtless know, is a liquid and, I think, an organic liquid.
"Astounding Stories of Super-Science July 1930" by Various
S. P. Meek about the Heaviside Layer.
"Astounding Stories of Super-Science January 1931" by Various
In my opinion "Beyond the Heaviside Layer" is the best story I have read in Astounding Stories to date.
"Astounding Stories of Super-Science, December 1930" by Various
J. W. L. Heaviside was installed Canon of Norwich Cathedral, in succession to Canon Wodehouse, resigned.
"Norfolk Annals A Chronological Record of Remarkable Events in the Nineteeth Century, Vol. 2" by Charles Mackie
The pips and the signals were bright and clear, coming through the ionosphere, the Heaviside layer as they had been designed to do.
"Progress Report" by Mark Clifton
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In science:

H is Heaviside distribution.) What we have to do is to interpret the symbols inside this equation geometrically.
New ideas about multiplication of tensorial distributions
By L we mean here a regular distribution de fined by the function in the brackets, hence an object from D′ be precise and to avoid confusion in the notation, we used for the Heaviside function the symbol H f , while for the Heaviside distribution the usual symbol H .) This is nice, but rather trivial illustration.
New ideas about multiplication of tensorial distributions
Fix such chart Chk (Rn ) covering the whole manifold, that we can express Heaviside distribution in this chart through H f ( x1 ) ∈ D′ (So) (M ).
New ideas about multiplication of tensorial distributions
This generalized form of our previous statement can be used for computations with Heaviside functional metrics (computation of connection in fixed coordinates).
New ideas about multiplication of tensorial distributions
We say even more here, to those people that are satisfied with the Gibbs and Heaviside approach to vector calculus with their polar and axial vectors we leave the following issue (that obviously did not exist in our approach).
Reply to Itin, Obukhov and Hehl paper "An Electric Charge has no Screw Sense - A Comment on the Twist-Free Formulation of Electrodynamics by da Rocha & Rodrigues"
Dirac delta δ(t) and the Heaviside step function θ(t).
1/f^beta noise in a model for weak ergodicity breaking
Heaviside’s step-function and dλ the uniform measure on the sphere (dλ = sin θλdθλ dϕλ ).
Second Comment on "Contextuality within quantum mechanics manifested in subensemble mean values" [Phys. Lett. A 373 (2009) 3430]
According to Gribov, this restriction shall be implemented by inserting a Heaviside weighting function ν (k , A) ≡ θ(1 − σ(k , A)), yielding (for YM theory on D = 4 with N being the vacuum normalization factor) Z = N Z DADcD ¯ce−SYM−R d4 x∂µDµ cν (0, A) = N Z DAe−SYM ν (A).
Gauge Theories on Deformed Spaces
For large N , corresponding to the thermodynamic limit V → ∞, the volume described by the Heaviside function is concentrated at the surface, as VC0 /V∂C0 ∼ R/N .
Gauge Theories on Deformed Spaces
The running of the Planck mass can be implemented with a Heaviside step function in the cross section, i.e. the Planck mass for collisions at the parton level with √ˆs > 1 TeV is given by ¯M (µ∗) = ¯µ∗ = 1 TeV, but for less energetic parton level collisions ¯M → ∞ is assumed.
A review of Quantum Gravity at the Large Hadron Collider
A is the driven axial amplitude, θ(x) is the Heaviside step function, and I0 (x) is the order-zero modified Bessel function.
Cavity Control of a Single-Electron Quantum Cyclotron:\\Measuring the Electron Magnetic Moment
For that reason, consider, for instance, the following product of the Heaviside’ unit-step function and the Dirac’ delta-function, θ(t − 1)δ(t − 1).
Non-Smooth Spatio-Temporal Coordinates in Nonlinear Dynamics
Heaviside step function, which vanishes when u < 0.
Black holes and the LHC: A review
In this limit, we can replace the visibility function g by the Dirac function δD (η − ηdec ), and e−τ by the Heaviside correctly normalized, since the definition of g implies (cid:82) dη g(η) = 1.
TASI Lectures on Cosmological Perturbations
Heaviside-function) force, ~F (t′ ) = H (t′ )~ej .
Human Gravity-Gradient Noise in Interferometric Gravitational-Wave Detectors
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