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1. The Free On-line Dictionary of Computing (30 December 2018) |
fractal dimension
A common type of fractal dimension is the
Hausdorff-Besicovich Dimension, but there are several
different ways of computing fractal dimension. Fractal
dimension can be calculated by taking the limit of the
quotient of the log change in object size and the log change
in measurement scale, as the measurement scale approaches
zero. The differences come in what is exactly meant by
"object size" and what is meant by "measurement scale" and how
to get an average number out of many different parts of a
geometrical object. Fractal dimensions quantify the static
*geometry* of an object.
For example, consider a straight line. Now blow up the line
by a factor of two. The line is now twice as long as before.
Log 2 / Log 2 = 1, corresponding to dimension 1. Consider a
square. Now blow up the square by a factor of two. The
square is now 4 times as large as before (i.e. 4 original
squares can be placed on the original square). Log 4 / log 2
= 2, corresponding to dimension 2 for the square. Consider a
snowflake curve formed by repeatedly replacing ___ with _/\_,
where each of the 4 new lines is 1/3 the length of the old
line. Blowing up the snowflake curve by a factor of 3 results
in a snowflake curve 4 times as large (one of the old
snowflake curves can be placed on each of the 4 segments
_/\_). Log 4 / log 3 = 1.261... Since the dimension 1.261 is
larger than the dimension 1 of the lines making up the curve,
the snowflake curve is a fractal. [sci.fractals FAQ].
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Common Misspellings > |
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dimension frtactal dimension ftractal dimension fdactal dimension frdactal dimension fdractal dimension ffactal dimension frfactal dimension ffractal dimension fgactal dimension frgactal dimension fgractal dimension frqctal dimension fraqctal dimension frqactal dimension frwctal dimension frawctal dimension frwactal dimension frsctal dimension frasctal dimension frsactal dimension frxctal dimension fraxctal dimension frxactal dimension frzctal dimension frazctal dimension frzactal dimension fr ctal dimension fra ctal dimension fr actal dimension frectal dimension frictal dimension froctal dimension fructal dimension frastal dimension fracstal dimension frasctal dimension fradtal dimension fracdtal dimension fradctal dimension fraftal dimension fracftal dimension frafctal dimension fraxtal dimension fracxtal dimension fraxctal dimension fravtal dimension fracvtal dimension fravctal dimension fra tal dimension frac tal dimension fra ctal dimension frac5al dimension fract5al dimension frac5tal dimension frac%al dimension fract%al dimension frac%tal dimension frac6al dimension fract6al dimension frac6tal dimension fracral dimension fractral dimension fracrtal dimension fracyal dimension fractyal dimension fracytal dimension fracfal dimension fractfal dimension fracftal dimension fracgal dimension fractgal dimension fracgtal dimension frachal dimension fracthal dimension frachtal dimension fractql dimension fractaql dimension fractqal dimension fractwl dimension fractawl dimension fractwal dimension fractsl dimension fractasl dimension fractsal dimension fractxl dimension fractaxl dimension fractxal dimension fractzl dimension fractazl dimension fractzal dimension fract l dimension fracta l dimension fract al dimension fractel dimension fractil dimension fractol dimension fractul dimension fractai dimension fractali dimension fractail dimension fractao dimension fractalo dimension fractaol dimension fractap dimension fractalp dimension fractapl dimension fractak dimension fractalk dimension fractakl dimension fracta, dimension fractal, dimension fracta,l dimension fracta. dimension fractal. dimension fracta.l dimension fractal wimension fractal dwimension fractal wdimension fractal eimension fractal deimension fractal edimension fractal rimension fractal drimension fractal rdimension fractal simension fractal dsimension fractal sdimension fractal fimension fractal dfimension fractal fdimension fractal ximension fractal dximension fractal xdimension fractal cimension fractal dcimension fractal cdimension fractal vimension fractal dvimension fractal vdimension fractal imension fractal d imension fractal dimension fractal d8mension fractal di8mension fractal d8imension fractal d*mension fractal di*mension fractal d*imension fractal d9mension fractal di9mension fractal d9imension fractal dumension fractal diumension fractal duimension fractal domension fractal diomension fractal doimension fractal djmension fractal dijmension fractal djimension fractal dkmension fractal dikmension fractal dkimension fractal dlmension fractal dilmension fractal dlimension fractal damension fractal demension fractal dijension fractal dimjension fractal dijmension fractal dikension fractal dimkension fractal dikmension fractal dilension fractal dimlension fractal dilmension fractal dinension fractal dimnension fractal dinmension fractal di ension fractal dim ension fractal di mension fractal dim3nsion fractal dime3nsion fractal dim3ension fractal dim#nsion fractal dime#nsion fractal dim#ension fractal dim4nsion fractal dime4nsion fractal dim4ension fractal dimwnsion fractal dimewnsion fractal dimwension fractal dimrnsion fractal dimernsion fractal dimrension fractal dimsnsion fractal dimesnsion fractal dimsension fractal dimdnsion fractal dimednsion fractal dimdension fractal dimfnsion fractal dimefnsion fractal dimfension fractal dimansion fractal diminsion fractal dimonsion fractal dimunsion fractal dimegsion fractal dimengsion fractal dimegnsion fractal dimehsion fractal dimenhsion fractal dimehnsion fractal dimejsion fractal dimenjsion fractal dimejnsion fractal dimebsion fractal dimenbsion fractal dimebnsion fractal dimemsion fractal dimenmsion fractal dimemnsion fractal dime sion fractal dimen sion fractal dime nsion fractal dimenqion fractal dimensqion fractal dimenqsion fractal dimenwion fractal dimenswion fractal dimenwsion fractal dimeneion fractal dimenseion fractal dimenesion fractal dimenaion fractal dimensaion fractal dimenasion fractal dimendion fractal dimensdion fractal dimendsion fractal dimenzion fractal dimenszion fractal dimenzsion fractal dimenxion fractal dimensxion fractal dimenxsion fractal dimencion fractal dimenscion fractal dimencsion fractal dimen ion fractal dimens ion fractal dimen sion fractal dimens8on fractal dimensi8on fractal dimens8ion fractal dimens*on fractal dimensi*on fractal dimens*ion fractal dimens9on fractal dimensi9on fractal dimens9ion fractal dimensuon fractal dimensiuon fractal dimensuion fractal dimensoon fractal dimensioon fractal dimensoion fractal dimensjon fractal dimensijon fractal dimensjion fractal dimenskon fractal dimensikon fractal dimenskion fractal dimenslon fractal dimensilon fractal dimenslion fractal dimensaon fractal dimenseon fractal dimensi9n fractal dimensio9n fractal dimensi9on fractal dimensi(n fractal dimensio(n fractal dimensi(on fractal dimensi0n fractal dimensio0n fractal dimensi0on fractal dimensiin fractal dimensioin fractal dimensiion fractal dimensipn fractal dimensiopn fractal dimensipon fractal dimensikn fractal dimensiokn fractal dimensikon fractal dimensiln fractal dimensioln fractal dimensilon fractal dimensian fractal dimensien fractal dimensiun fractal dimensiog fractal dimensiong fractal dimensiogn fractal dimensioh fractal dimensionh fractal dimensiohn fractal dimensioj fractal dimensionj fractal dimensiojn fractal dimensiob fractal dimensionb fractal dimensiobn fractal dimensiom fractal dimensionm fractal dimensiomn fractal dimensio fractal dimension fractal dimensio n Definition commonly spelled as: Defanition or Defenition, Synonym as: Synonim, Sinonym or Sinonim, Thesaurus as: Thesorus or Thesauris, Dictionary as: Dictionery or Dictionry and Define is usually not misspelled. What does mispell meen? It Meens...
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