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HARMONIC NUMBER [4 records]

Record 1 2011-08-17

English

Subject field(s)
  • Analytical Functions (Math.)
  • Surveying
  • Mathematical Geography
DEF

Any solution of the Laplace equation which has continuous derivatives of first and second order.

CONT

... it is quite natural to look at GSPD as a fractal measure ... with infinitely many types of singularities. Probing the surface with many random walks is equivalent to the estimation of the corresponding solutions of Laplace’s equation ... which are usually called harmonic functions. Consequently, the name harmonic measure is also used for GSPD.

OBS

To calculate the harmonic measure and its characteristic properties one can follow two numerical methods. i) After having generated a DLA cluster one releases further particles... whose diffusional motion is simulated by the same technique... which is used for growing the aggregate. These probe particles, however, are eliminated when they arrive at the surface, and a record is kept of how many times each of the surface sites is contacted in this way. The normalized number of contacts is then regarded as the growth probability.

French

Domaine(s)
  • Fonctions mathématiques analytiques
  • Arpentage
  • Géographie mathématique
DEF

Fonction formée par quatre points d'une droite, d'un faisceau de droites, d'une moyenne, etc.

Spanish

Save record 1

Record 2 2010-12-07

English

Subject field(s)
  • Atomic Physics
CONT

The UVSOR storage ring is a synchrotron radiation light source for studies of molecular science and its related fields. The radio frequency of the ring is 90 MHz [megahertz] and its harmonic number is 16. The pulsed light is supplied with a period of 11 ns, when all buckets of the ring are filled. The storage ring can be operated in the single bunch mode when a longer pulse period is required. In this mode, the period of the pulsed light is 180 ns [nanoseconds], which is the revolution period of the beam in the ring. The single bunch is produced in the booster synchrotron, and it is transferred to only one bucket of the ring.

Key term(s)
  • single-bunch mode

French

Domaine(s)
  • Physique atomique
CONT

La diffusion nucléaire résonnante est une spectroscopie dans le domaine temporel, contrairement à la SM [spectrométrie Mössbauer], qui est résolue en énergie. Les échelles de temps concernées sont de l’ordre du temps de vie des niveaux Mössbauer (de la nanoseconde à la microseconde), qui sont bien adaptées à la structure temporelle des sources RS [rayonnement synchrotron]. Des «modes de temps» typiques à l’ESRF [Installation européenne de rayonnement synchrotron] sont le mode «simple paquet» et le mode «16 paquets». Dans le mode «simple paquet», l’anneau de stockage est rempli avec un seul «seau» d’électrons, appelé le paquet, avec un courant d’électrons de 20 Ma [milliampères] (4 x 1011 électrons) et un temps de vie d’environ 6 h. La fréquence est de 352 MHz [mégahertz], ce qui définit une fenêtre en temps de 2,84 ms [millisecondes], entre deux paquets successifs.

Spanish

Save record 2

Record 3 2010-07-16

English

Subject field(s)
  • Electrical Engineering
OBS

harmonic number; harmonic order : terms standardized by the International Electrotechnical Commission(IEC).

French

Domaine(s)
  • Électrotechnique
OBS

rang d'un harmonique : terme normalisé par la Commission électrotechnique internationale (CEI).

Spanish

Save record 3

Record 4 1998-08-04

English

Subject field(s)
  • Probability (Statistics)
CONT

If we regard economic time-series from a more realistic point of view we may consider them not as a sum of a number of ’pure’ harmonic wave, but as oscillatory systems incorporating a continuous stream of external shocks influencing both the period and the amplitude of the periodic functions whose every term partly depends on the one immediately preceding it, such series are called autoregressive series.

French

Domaine(s)
  • Probabilités (Statistique)
CONT

Si nous analysons les séries chronologiques économiques d'un point de vue plus réaliste, nous pouvons les considérer non pas comme la somme d'une série d'harmoniques 'pure' superposées, mais comme un système oscillatoire assujetti à une série continue de chocs extérieurs influençant aussi bien la période que l'amplitude des fonctions périodiques dont chaque terme dépend en partie du terme qui le précède immédiatement : de telles séries sont appelées séries autorégressives.

Spanish

Campo(s) temático(s)
  • Probabilidad (Estadística)
DEF

Resultante de un proceso autorregresivo.

Save record 4

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