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HARMONIC MEASURE [5 records]
Record 1 - internal organization data 2015-11-23
Record 1, English
Record 1, Subject field(s)
- Music
Record 1, Main entry term, English
- pitched instrument
1, record 1, English, pitched%20instrument
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
- pitched musical instrument 2, record 1, English, pitched%20musical%20instrument
correct
Record 1, Textual support, English
Record number: 1, Textual support number: 1 CONT
Pitched instruments are those that have a well-defined pitch or fundamental frequency-in this case, normally the "pitch"(a subjective frequency measure) matches the "fundamental frequency"(an objective frequency measure). For that reason, it is common that both terms be used interchangeably. Most pitched instruments are also harmonic, meaning that their partials... are close to being harmonics... However, some percussion instruments have a defined pitch, but their partials tend to be nonharmonic. 1, record 1, English, - pitched%20instrument
Record 1, French
Record 1, Domaine(s)
- Musique
Record 1, Main entry term, French
- instrument à hauteur déterminée
1, record 1, French, instrument%20%C3%A0%20hauteur%20d%C3%A9termin%C3%A9e
correct, masculine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
Record 1, Textual support, French
Record 1, Spanish
Record 1, Textual support, Spanish
Record 2 - internal organization data 2015-07-10
Record 2, English
Record 2, Subject field(s)
- General Mechanics (Physics)
- Plant Biology
Record 2, Main entry term, English
- mechanical impedance
1, record 2, English, mechanical%20impedance
correct
Record 2, Abbreviations, English
Record 2, Synonyms, English
Record 2, Textual support, English
Record number: 2, Textual support number: 1 DEF
... a measure of how much a structure resists motion when subjected to a harmonic force. 2, record 2, English, - mechanical%20impedance
Record number: 2, Textual support number: 1 CONT
Root elongation in drying soil is generally limited by a combination of mechanical impedance and water stress. 3, record 2, English, - mechanical%20impedance
Record 2, French
Record 2, Domaine(s)
- Mécanique générale (Physique)
- Biologie végétale
Record 2, Main entry term, French
- impédance mécanique
1, record 2, French, imp%C3%A9dance%20m%C3%A9canique
correct, feminine noun
Record 2, Abbreviations, French
Record 2, Synonyms, French
Record 2, Textual support, French
Record number: 2, Textual support number: 1 DEF
[...] mesure de la résistance opposée à un mouvement par une structure soumise à une force donnée. 2, record 2, French, - imp%C3%A9dance%20m%C3%A9canique
Record 2, Spanish
Record 2, Textual support, Spanish
Record 3 - internal organization data 2011-08-17
Record 3, English
Record 3, Subject field(s)
- Analytical Functions (Math.)
- Surveying
- Mathematical Geography
Record 3, Main entry term, English
- harmonic function
1, record 3, English, harmonic%20function
correct
Record 3, Abbreviations, English
Record 3, Synonyms, English
- harmonic measure 2, record 3, English, harmonic%20measure
correct
Record 3, Textual support, English
Record number: 3, Textual support number: 1 DEF
Any solution of the Laplace equation which has continuous derivatives of first and second order. 3, record 3, English, - harmonic%20function
Record number: 3, Textual support number: 1 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. 2, record 3, English, - harmonic%20function
Record number: 3, Textual support number: 1 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. 2, record 3, English, - harmonic%20function
Record 3, French
Record 3, Domaine(s)
- Fonctions mathématiques analytiques
- Arpentage
- Géographie mathématique
Record 3, Main entry term, French
- fonction harmonique
1, record 3, French, fonction%20harmonique
correct, feminine noun
Record 3, Abbreviations, French
Record 3, Synonyms, French
Record 3, Textual support, French
Record number: 3, Textual support number: 1 DEF
Fonction formée par quatre points d'une droite, d'un faisceau de droites, d'une moyenne, etc. 1, record 3, French, - fonction%20harmonique
Record 3, Spanish
Record 3, Textual support, Spanish
Record 4 - internal organization data 2000-08-29
Record 4, English
Record 4, Subject field(s)
- Mathematics
- Computer Graphics
Record 4, Main entry term, English
- Green's function method
1, record 4, English, Green%27s%20function%20method
correct
Record 4, Abbreviations, English
Record 4, Synonyms, English
Record 4, Textual support, English
Record number: 4, Textual support number: 1 CONT
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.... ii) solving the Laplace equation... with boundary conditions.... For small clusters the Green's function method can be used to solve Laplace's equation... yielding GSPD free of any effects.... 2, record 4, English, - Green%27s%20function%20method
Record 4, Key term(s)
- Green method
Record 4, French
Record 4, Domaine(s)
- Mathématiques
- Infographie
Record 4, Main entry term, French
- méthode de Green
1, record 4, French, m%C3%A9thode%20de%20Green
correct, feminine noun
Record 4, Abbreviations, French
Record 4, Synonyms, French
Record 4, Textual support, French
Record number: 4, Textual support number: 1 DEF
Méthode de simulation numérique de la croissance d'un agrégat limité par diffusion, par résolution d'équations laplaciennes. 1, record 4, French, - m%C3%A9thode%20de%20Green
Record 4, Spanish
Record 4, Textual support, Spanish
Record 5 - internal organization data 1994-05-11
Record 5, English
Record 5, Subject field(s)
- Mathematics
- Computer Graphics
Record 5, Main entry term, English
- probability measure 1, record 5, English, probability%20measure
Record 5, Abbreviations, English
Record 5, Synonyms, English
- harmonic measure 1, record 5, English, harmonic%20measure
specific
Record 5, Textual support, English
Record number: 5, Textual support number: 1 CONT
DLA and the Harmonic Measure. How can we best characterise the surface or perimeter of... fractal structures? The harmonic measure affords a method of quantitatively characterising such surfaces. This(probability) measure is defined(with respect to a particular cluster) as the probability,... of a random walker approaching the cluster from infinity first striking the cluster between the points... along the boundary of the cluster. 1, record 5, English, - probability%20measure
Record 5, French
Record 5, Domaine(s)
- Mathématiques
- Infographie
Record 5, Main entry term, French
- mesure de probabilité
1, record 5, French, mesure%20de%20probabilit%C3%A9
proposal, feminine noun
Record 5, Abbreviations, French
Record 5, Synonyms, French
- mesure harmonique 1, record 5, French, mesure%20harmonique
proposal, feminine noun
Record 5, Textual support, French
Record 5, Spanish
Record 5, Textual support, Spanish
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